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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Astron. Space Sci.</journal-id>
<journal-title>Frontiers in Astronomy and Space Sciences</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Astron. Space Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-987X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1248834</article-id>
<article-id pub-id-type="doi">10.3389/fspas.2023.1248834</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Astronomy and Space Sciences</subject>
<subj-group>
<subject>Mini Review</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Prospect for measurements of (<italic>&#x3b3;</italic>, n) reaction cross-sections of <italic>p</italic>-nuclei at ELI-NP</article-title>
<alt-title alt-title-type="left-running-head">S&#xf6;derstr&#xf6;m et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fspas.2023.1248834">10.3389/fspas.2023.1248834</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>S&#xf6;derstr&#xf6;m</surname>
<given-names>P.-A.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2322134/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ku&#x15f;o&#x11f;lu</surname>
<given-names>A.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2386347/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Testov</surname>
<given-names>D.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Extreme Light Infrastructure-Nuclear Physics (ELI-NP)</institution>, <institution>Horia Hulubei National Institute for Physics and Nuclear Engineering (IFIN-HH)</institution>, <addr-line>M&#x103;gurele</addr-line>, <country>Romania</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Physics</institution>, <institution>Faculty of Science</institution>, <institution>Istanbul University</institution>, <addr-line>Istanbul</addr-line>, <country>T&#xfc;rkiye</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1916328/overview">Denise Piatti</ext-link>, University of Padua, Italy</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1240019/overview">Adriana Banu</ext-link>, James Madison University, United States</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2377170/overview">Peter Mohr</ext-link>, Atomki, Hungary</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: P.-A. S&#xf6;derstr&#xf6;m, <email>par.anders@eli-np.ro</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>31</day>
<month>08</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>10</volume>
<elocation-id>1248834</elocation-id>
<history>
<date date-type="received">
<day>27</day>
<month>06</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>16</day>
<month>08</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 S&#xf6;derstr&#xf6;m, Ku&#x15f;o&#x11f;lu and Testov.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>S&#xf6;derstr&#xf6;m, Ku&#x15f;o&#x11f;lu and Testov</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>The gamma beam system under construction at the ELI-NP facility in Romania is projected to give the nuclear physics community access to an experimental system providing a high-intensity, narrow bandwidth photon beam at variable energy. With high-efficiency detector systems in place, the experimental programme will have a strong potential for in-depth studies of rare stable isotopes originating from the astrophysical <italic>p</italic>-process. In particular, the neutron detection systems are already implemented through a dedicated <sup>3</sup>He long neutron counter array, called ELIGANT-TN, that is completed and in use. In this mini-review, we will give a summary of the current status of existing (<italic>&#x3b3;</italic>, n) cross-section data, as well as the methods to obtain them, and highlight the future potential to expand and improve such data using the ELI-NP instrumentation and beam-lines.</p>
</abstract>
<kwd-group>
<kwd>
<italic>p</italic>-process</kwd>
<kwd>nucleosynthesis</kwd>
<kwd>photonuclear reaction</kwd>
<kwd>neutron detection</kwd>
<kwd>nuclear cross section</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Nuclear Physics&#x200b;</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>The nucleosynthesis of elements above iron and their isotopes mainly proceeds by neutron capture in the <italic>s</italic>- and <italic>r</italic>-processes. However, there are 35 stable proton-rich isotopes which these processes cannot produce. These so-called <italic>p</italic>-nuclei are believed to be produced by proton capture and <italic>&#x3b3;</italic> dissociation processes in proton-rich stellar environments in the <italic>p</italic>-process. More specifically, the <italic>p</italic>-process is a combination of (p, <italic>&#x3b3;</italic>), (<italic>&#x3b3;</italic>, p), (<italic>&#x3b3;</italic>, <italic>&#x3b1;</italic>), and (<italic>&#x3b3;</italic>, n) reactions complemented by <italic>&#x3b2;</italic>
<sup>&#x2b;</sup> decay and (n, <italic>&#x3b3;</italic>) reactions. Many <italic>p</italic>-nuclei are underproduced in astrophysical model calculations and while these reactions take place at high temperatures and the ground state cross-sections themselves have a negligible contribution in stellar environmentes (<xref ref-type="bibr" rid="B41">Mohr, 2004</xref>; <xref ref-type="bibr" rid="B66">Utsunomiya et al., 2006a</xref>; <xref ref-type="bibr" rid="B47">Rauscher, 2012</xref>; <xref ref-type="bibr" rid="B46">Rauscher, 2013</xref>; <xref ref-type="bibr" rid="B45">Rauscher, 2014</xref>); experimental data on the <italic>&#x3b3;</italic> dissociation cross-sections are needed to improve and develop theoretical models that can be implemented in calculations of the stellar reaction rates. Since the abundances of <italic>p</italic>-nuclei are low, high-intensity <italic>&#x3b3;</italic>-ray beams are required for the (<italic>&#x3b3;</italic>, n) measurements on enriched targets. The Extreme Light Infrastructure&#x2013;Nuclear Physics (ELI-NP) facility is projected to have the capability of producing brilliant <italic>&#x3b3;</italic>-ray beams suitable for such studies (<xref ref-type="bibr" rid="B21">Filipescu et al., 2015</xref>; <xref ref-type="bibr" rid="B24">Gales et al., 2016</xref>; <xref ref-type="bibr" rid="B25">Gales et al., 2018</xref>; <xref ref-type="bibr" rid="B55">Tanaka et al., 2020</xref>), with a higher energy resolution, <inline-formula id="inf1">
<mml:math id="m1">
<mml:mo>&#x223c;</mml:mo>
<mml:mn>0.5</mml:mn>
</mml:math>
</inline-formula>% than at the High Intensity <italic>&#x3b3;</italic>-ray Source (HI<italic>&#x3b3;</italic>S), <inline-formula id="inf2">
<mml:math id="m2">
<mml:mo>&#x223c;</mml:mo>
<mml:mn>5</mml:mn>
</mml:math>
</inline-formula>% (<xref ref-type="bibr" rid="B35">Litvinenko et al., 1997</xref>), the Tsukuba Electron Ring for Acceleration and Storage (TERAS), <inline-formula id="inf3">
<mml:math id="m3">
<mml:mo>&#x223c;</mml:mo>
<mml:mn>2</mml:mn>
</mml:math>
</inline-formula>% (<xref ref-type="bibr" rid="B61">Toyokawa et al., 2009</xref>), or the since 31 March 2021 discontinued NewSUBARU facility that reached <inline-formula id="inf4">
<mml:math id="m4">
<mml:mo>&#x223c;</mml:mo>
<mml:mn>5</mml:mn>
</mml:math>
</inline-formula>% (<xref ref-type="bibr" rid="B1">Amano et al., 2009</xref>).</p>
</sec>
<sec id="s2">
<title>2 Review of cross-section data and methods</title>
<sec id="s2-1">
<title>2.1 Measurement methods and beams</title>
<p>The generation of <italic>&#x3b3;</italic>-ray beams dates back to <xref ref-type="bibr" rid="B3">Baldwin and Klaiber (1947)</xref>, who generated a photon beam via the Bremsstrahlung process from a 100-MeV betatron accelerator. The Bremsstrahlung process, where electrons or other charged particles emit photons while decelerating in a dense matter, has remained one of the primary methods for producing the beams necessary for photodisintegration reaction studies throughout the decades. For a complete historical overview and a thorough discussion about current photonuclear topics, a review of the status and history of the field of photonuclear physics was recently published by <xref ref-type="bibr" rid="B76">Zilges et al. (2022)</xref>. Here, we will focus on the aspects of (<italic>&#x3b3;</italic>, n) cross-section measurements.</p>
<p>As the Bremsstrahlung beams are generated by slowing down, typically, electrons, the beams produced have some drawbacks regarding photonuclear cross-section measurements. While easy to produce, the energy spectra are extending as a modified power law from the lowest energy to the electron end-point energies. This property generates the risk of significant systematic uncertainties from the unfolding procedures necessary to have cross-sections at fixed energies. One method to overcome this problem is using high-energy positron beams (<xref ref-type="bibr" rid="B18">Colgate and Gilbert, 1953</xref>). While the generation becomes slightly more complex, the beam quality is improved by the annihilation peak of the positrons, giving rise to a quasi-monoenergetic beam on top of the Bremsstrahlung background. This method was developed in the two laboratories in Livermore (<xref ref-type="bibr" rid="B23">Fultz et al., 1962</xref>) and Saclay (<xref ref-type="bibr" rid="B6">Beil et al., 1969</xref>). There has been a longstanding discussion about discrepant results between Livermore and Saclay, both using the same method to generate the beams. The discrepancy is illustrated in <xref ref-type="fig" rid="F1">Figure 1</xref> and discussed in detail by <xref ref-type="bibr" rid="B70">Varlamov et al. (2017)</xref> and in the recent review by <xref ref-type="bibr" rid="B33">Kawano et al. (2020)</xref>.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>
<bold>(A)</bold> Cross-section data for the (<italic>&#x3b3;</italic>, n) reaction on <sup>89</sup>Y from Livermore (<xref ref-type="bibr" rid="B12">Berman et al., 1967</xref>), Saclay (<xref ref-type="bibr" rid="B34">Lepretre et al., 1971</xref>) and NewSubaru <xref ref-type="bibr" rid="B33">Kawano et al. (2020)</xref>. <bold>(B)</bold> Cross-section data for the (<italic>&#x3b3;</italic>, n) reaction on <sup>144</sup>Sm from Saclay (<xref ref-type="bibr" rid="B16">Carlos et al., 1974</xref>) and NewSubaru (<xref ref-type="bibr" rid="B22">Filipescu et al., 2014</xref>).</p>
</caption>
<graphic xlink:href="fspas-10-1248834-g001.tif"/>
</fig>
<p>To generate monoenergetic <italic>&#x3b3;</italic>-ray beams, the method of laser Compton backscattering (LCS) was introduced by <xref ref-type="bibr" rid="B39">Milburn (1963)</xref> and <xref ref-type="bibr" rid="B2">Arutyunian and Tumanian (1963)</xref>. Here, a relativistic electron beam of a given energy collides with laser photons of a given frequency, and the backscattered photons will take a significant part of the electron kinetic energy with an energy-dependent angular distribution. Selecting specific angles through a collimator, the photon beams will have a well-defined energy and a narrow bandwidth, significantly reducing systematic measurement uncertainties, illustrated in <xref ref-type="fig" rid="F1">Figure 1</xref>. This beam type will be the primary source of <italic>&#x3b3;</italic> rays at ELI-NP.</p>
<p>Finally, another method under development is based on accelerating the primary electrons using laser wakefield acceleration from high-power lasers, a technology that will be the second main pillar of the ELI-NP facility via the 100 TW, 1 PW, and 10 PW beam lines (<xref ref-type="bibr" rid="B55">Tanaka et al., 2020</xref>). Such a measurement on <italic>p</italic>-process nuclei, namely the <sup>92</sup>Mo(<italic>&#x3b3;</italic>,n)<sup>91m,g</sup>Mo isomeric ratios and the <sup>92</sup>Mo (<italic>&#x3b3;</italic>, 3n)<sup>89</sup>Mo reaction was recently reported by <xref ref-type="bibr" rid="B75">Wu et al. (2023)</xref>.</p>
<p>Mechanisms of neutron detection are based on indirect methods since neutrons do not carry any charge. These mechanisms are based on neutron scattering or neutron absorption by detection media leading to the production of secondary particles, which can produce ionization around the interaction point. Typically neutron detectors to study (<italic>&#x3b3;</italic>, n) reactions rely on the neutron capture process due to their almost 4<italic>&#x3c0;</italic> angular coverage and high efficiency. The neutron capture cross-section is usually higher for the thermal energy neutron range. Therefore, neutron counters are typically embedded in moderator material. The first neutron counters developed of this type represented boron neutron detectors surrounded by a water tank. More modern and nowadays systems commonly exploit <sup>3</sup>He or BF<sub>3</sub> gas-filled counters placed inside a paraffin or high-density polyethylene matrix. Different quenching gas, for example, CO<sub>2</sub> or Ne, are often used to enhance the counting characteristics. However, due to the moderation process, precise information on the individual neutron energy is lost. This problem is solved by designing the system with flat neutron detection efficiency in a broad neutron energy range (<xref ref-type="bibr" rid="B63">Utsunomiya et al., 2017</xref>). Another method of neutron counting is based on (semi)activation techniques. The total number of emitted neutrons can be estimated by counting <italic>&#x3b3;</italic>-rays emitted by the daughter nucleus. However, the method requires information on the absolute <italic>&#x3b3;</italic>-ray transition intensities, thus, representing an additional source of systematic errors. It also limits the possible cases that can be measured to isotopes with levels with strong <italic>&#x3b3;</italic>-ray emission either following <italic>&#x3b2;</italic> decay or population of isomeric states.</p>
<sec id="s2-1-1">
<title>2.1.1 ELI-NP gamma beam</title>
<p>The main beam-line, still under construction, of interest at the ELI-NP facility for these measurements is the high-brilliance, low-bandwidth <italic>&#x3b3;</italic>-ray beam produced by Compton backscattering of a laser off an electron beam. This system will have an electron storage ring coupled to an optical cavity. The energy of the circulating electrons will be steplessly varied in the range of 234&#x2013;742 MeV, and photons from two different lasers can cover <italic>&#x3b3;</italic>-ray energies in the range of 1&#x2013;19.5 MeV. The beam is expected to be almost 100% polarized with a bandwidth less than 0.5%, with a peak spectral density of more than 5,000 s<sup>&#x2212;1</sup> eV<sup>&#x2212;1</sup> and a beam intensity at 10 MeV of 2.5 &#xd7; 10<sup>8</sup> s<sup>&#x2212;1</sup>. The characteristics of this type of measurement at ELI-NP put specific requirements on the beam properties compared to other types of <italic>&#x3b3;</italic>-beam experiments. In these cases, the ELI-NP <italic>&#x3b3;</italic> beam must operate up to the maximum energy above the neutron separation thresholds. The energy variability and bandwidth are the most critical properties of the ELI-NP beam for this type of measurements.</p>
</sec>
<sec id="s2-1-2">
<title>2.1.2 ELIGANT-TN</title>
<p>For the ELI-NP measurements, the primary neutron counting system planned is the ELI Gamma Above Neutron Threshold (ELIGANT) setups, in particular, the ELIGANT Thermal Neutron (ELIGANT-TN) high-efficiency neutron detector system in the flat efficiency configuration (<xref ref-type="bibr" rid="B15">Camera et al., 2016</xref>; <xref ref-type="bibr" rid="B63">Utsunomiya et al., 2017</xref>). The instrument consists of 28 tubes filled with <sup>3</sup>He at a pressure of 12 bar arranged in a pattern of three rings, containing 4, 8, and 16 detectors, respectively, embedded in a polyethylene matrix and shielded from external neutrons using thin sheets of cadmium with an additional moderator outside. The efficiency of the neutron counter is around 38% over the complete, predicted neutron energy range. This feature is essential as it means the energy of the emitted neutrons will not bias the measured (<italic>&#x3b3;</italic>, n) cross-section. However, although the detector works with neutrons moderated to thermal energies, the average neutron energy can provide additional information about the reaction and would be obtained from the ring-ratio method (<xref ref-type="bibr" rid="B13">Berman and Fultz, 1975</xref>). The instrument will use a fully digital data acquisition system based on CAEN v1725 digitizers. The preliminary performance of the system, in terms of efficiency and average neutron energy measurements with the ring ratio, has been reported by <xref ref-type="bibr" rid="B51">S&#xf6;derstr&#xf6;m et al. (2021)</xref>, using a plutonium-beryllium neutron source, and by <xref ref-type="bibr" rid="B17">Clisu et al. (2023)</xref> via in-beam characterization at a 9 MV Tandem accelerator.</p>
</sec>
</sec>
<sec id="s2-2">
<title>2.2 Overview of existing data</title>
<p>This section will overview the existing photonuclear data of the <italic>p</italic>-process nuclei. We will limit the discussion to pure (<italic>&#x3b3;</italic>, n) data and not include, except in exceptional cases, measurements of, for example, isomeric ratios and higher order channels like (<italic>&#x3b3;</italic>, 2n). <xref ref-type="table" rid="T1">Table 1</xref> summarises the most recent data sets for an accessible overview of the current state-of-the-art.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Summary of the most recent measurements for each <italic>p</italic>-process isotope. For a discussion about additional work on the different nuclei see the text. Beam and detection methods are labelled as Bremsstrahlung (BS), laser Compton Backscattering (LCS) and either indirect measurements using activation or direct counting with BF<sub>3</sub> or <sup>3</sup>He counters. The energy range and energy step are given for each reference, except for integrated Bremsstrahlung measurements, where the end-points are given. <sup>(</sup>&#x2a;<sup>)</sup> <xref ref-type="bibr" rid="B49">Skakun et al. (2013)</xref> have performed a newer measurement with more points and smaller &#x394;<italic>E</italic>. However the cross-sections are not reported in the citation. Thus, we list the values by <xref ref-type="bibr" rid="B60">Tickner et al. (2010)</xref> in this table.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">
<sup>
<italic>A</italic>
</sup>Xx</th>
<th align="center">Method</th>
<th align="center">Energy (MeV)</th>
<th align="center">References</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">
<sup>74</sup>Se</td>
<td align="center">BS, BF<sub>3</sub>
</td>
<td align="center">
<italic>E</italic> &#x3d; 12&#x2013;24, &#x394;<italic>E</italic> &#x3d; 0.15</td>
<td align="center">
<xref ref-type="bibr" rid="B28">Goryachev and Zalesnyy (1982)</xref>
</td>
</tr>
<tr>
<td align="center">
<sup>78</sup>Kr</td>
<td align="left"/>
<td align="left"/>
<td align="center">No data</td>
</tr>
<tr>
<td align="center">
<sup>84</sup>Sr</td>
<td align="center">BS, BF<sub>3</sub>
</td>
<td align="center">
<italic>E</italic> &#x3d; 12&#x2013;24, &#x394;<italic>E</italic> &#x3d; 0.15</td>
<td align="center">
<xref ref-type="bibr" rid="B28">Goryachev and Zalesnyy (1982)</xref>
</td>
</tr>
<tr>
<td align="center">
<sup>92</sup>Mo</td>
<td align="center">BS, Activation</td>
<td align="center">
<italic>E</italic>
<sub>max</sub> &#x3d; 19.5,29.1,67.7, Endpoint</td>
<td align="center">
<xref ref-type="bibr" rid="B31">Ishkhanov et al. (2014)</xref>
</td>
</tr>
<tr>
<td align="center">
<sup>94</sup>Mo</td>
<td align="center">LCS, <sup>3</sup>He</td>
<td align="center">
<italic>E</italic> &#x3d; 9.7&#x2013;13.5, &#x394;<italic>E</italic> &#x3d; 0.2</td>
<td align="center">
<xref ref-type="bibr" rid="B4">Banu et al. (2019)</xref>
</td>
</tr>
<tr>
<td align="center">
<sup>96</sup>Ru</td>
<td align="center">BS, Activation</td>
<td align="center">
<italic>E</italic>
<sub>max</sub> &#x3d; 11,12,13,14 Endpoint</td>
<td align="center">
<xref ref-type="bibr" rid="B60">Tickner et al. (2010)</xref>
<sup>(</sup>&#x2a;<sup>)</sup>
</td>
</tr>
<tr>
<td align="center">
<sup>98</sup>Ru</td>
<td align="center">BS, Activation</td>
<td align="center">
<italic>E</italic>
<sub>max</sub> &#x3d; 11,12,13,14 Endpoint</td>
<td align="center">
<xref ref-type="bibr" rid="B60">Tickner et al. (2010)</xref>
<sup>(</sup>&#x2a;<sup>)</sup>
</td>
</tr>
<tr>
<td align="center">
<sup>102</sup>Pd</td>
<td align="center">BS, Activation</td>
<td align="center">
<italic>E</italic>
<sub>max</sub> &#x3d; 12,13,14 Endpoint</td>
<td align="center">
<xref ref-type="bibr" rid="B60">Tickner et al. (2010)</xref>
<sup>(</sup>&#x2a;<sup>)</sup>
</td>
</tr>
<tr>
<td align="center">
<sup>106</sup>Cd</td>
<td align="left"/>
<td align="left"/>
<td align="center">No data</td>
</tr>
<tr>
<td align="center">
<sup>108</sup>Cd</td>
<td align="center">BS, Activation</td>
<td align="center">
<italic>E</italic>
<sub>max</sub> &#x3d; 55, Endpoint</td>
<td align="center">
<xref ref-type="bibr" rid="B11">Belyshev et al. (2014)</xref>
</td>
</tr>
<tr>
<td align="center">
<sup>113</sup>In</td>
<td align="center">BS, Activation</td>
<td align="center">
<italic>E</italic> &#x3d; 10&#x2013;13, &#x394;<italic>E</italic> &#x3d; 0.5</td>
<td align="center">
<xref ref-type="bibr" rid="B50">Skakun et al. (2016)</xref>
</td>
</tr>
<tr>
<td align="center">
<sup>112</sup>Sn</td>
<td align="center">BS, BF<sub>3</sub>
</td>
<td align="center">
<italic>E</italic>
<sub>max</sub> &#x3d; 20,27, Endpoint</td>
<td align="center">
<xref ref-type="bibr" rid="B54">Sorokin and Yurev (1975)</xref>
</td>
</tr>
<tr>
<td align="center">
<sup>114</sup>Sn</td>
<td align="center">BS, BF<sub>3</sub>
</td>
<td align="center">
<italic>E</italic>
<sub>max</sub> &#x3d; 20,27, Endpoint</td>
<td align="center">
<xref ref-type="bibr" rid="B53">Sorokin et al. (1972)</xref>
</td>
</tr>
<tr>
<td align="center">
<sup>115</sup>Sn</td>
<td align="left"/>
<td align="left"/>
<td align="center">No data</td>
</tr>
<tr>
<td align="center">
<sup>120</sup>Te</td>
<td align="center">BS, Activation</td>
<td align="center">
<italic>E</italic> &#x3d; 10.25&#x2013;20, &#x394;<italic>E</italic> &#x3d; 0.25</td>
<td align="center">
<xref ref-type="bibr" rid="B38">Mazur et al. (2019)</xref>
</td>
</tr>
<tr>
<td align="center">
<sup>124</sup>Xe</td>
<td align="left"/>
<td align="left"/>
<td align="center">No data</td>
</tr>
<tr>
<td align="center">
<sup>126</sup>Xe</td>
<td align="left"/>
<td align="left"/>
<td align="center">No data</td>
</tr>
<tr>
<td align="center">
<sup>130</sup>Ba</td>
<td align="center">BS Activation</td>
<td align="center">
<italic>E</italic> &#x3d; 12&#x2013;17.5, &#x394;<italic>E</italic> &#x3d; 0.5</td>
<td align="center">
<xref ref-type="bibr" rid="B36">Mazur and Bigan (2001)</xref>
</td>
</tr>
<tr>
<td align="center">
<sup>132</sup>Ba</td>
<td align="center">BS, Activation</td>
<td align="center">
<italic>E</italic> &#x3d; 12&#x2013;17.5, &#x394;<italic>E</italic> &#x3d; 0.5</td>
<td align="center">
<xref ref-type="bibr" rid="B36">Mazur and Bigan (2001)</xref>
</td>
</tr>
<tr>
<td align="center">
<sup>138</sup>La</td>
<td align="left"/>
<td align="left"/>
<td align="center">No data</td>
</tr>
<tr>
<td align="center">
<sup>136</sup>Ce</td>
<td align="center">BS, Activation</td>
<td align="center">
<italic>E</italic> &#x3d; 10.5&#x2013;18, &#x394;<italic>E</italic> &#x3d; 0.25</td>
<td align="center">
<xref ref-type="bibr" rid="B38">Mazur et al. (2019)</xref>
</td>
</tr>
<tr>
<td align="center">
<sup>138</sup>Ce</td>
<td align="left"/>
<td align="left"/>
<td align="center">No data</td>
</tr>
<tr>
<td align="center">
<sup>144</sup>Sm</td>
<td align="center">LCS, <sup>3</sup>He</td>
<td align="center">
<italic>E</italic> &#x3d; 10.66&#x2013;12.66, &#x394;<italic>E</italic> &#x3d; 0.33</td>
<td align="center">
<xref ref-type="bibr" rid="B22">Filipescu et al. (2014)</xref>
</td>
</tr>
<tr>
<td align="center">
<sup>152</sup>Gd</td>
<td align="center">BS, BF<sub>3</sub>
</td>
<td align="center">
<italic>E</italic> &#x3d; 7.5&#x2013;21.25, &#x394;<italic>E</italic> &#x3d; 0.25</td>
<td align="center">
<xref ref-type="bibr" rid="B72">Vasilev et al. (1971)</xref>
</td>
</tr>
<tr>
<td align="center">
<sup>156</sup>Dy</td>
<td align="center">BS, Activation</td>
<td align="center">
<italic>E</italic>
<sub>max</sub> &#x3d; 14, Endpoint</td>
<td align="center">
<xref ref-type="bibr" rid="B68">Vagena and Stoulos (2017b)</xref>
</td>
</tr>
<tr>
<td align="center">
<sup>158</sup>Dy</td>
<td align="center">BS, Activation</td>
<td align="center">
<italic>E</italic>
<sub>max</sub> &#x3d; 14, Endpoint</td>
<td align="center">
<xref ref-type="bibr" rid="B68">Vagena and Stoulos (2017b)</xref>
</td>
</tr>
<tr>
<td align="center">
<sup>162</sup>Er</td>
<td align="center">BS, Activation</td>
<td align="center">
<italic>E</italic>
<sub>max</sub> &#x3d; 14, Endpoint</td>
<td align="center">
<xref ref-type="bibr" rid="B67">Vagena and Stoulos (2017a)</xref>
</td>
</tr>
<tr>
<td align="center">
<sup>164</sup>Er</td>
<td align="left"/>
<td align="left"/>
<td align="center">No data</td>
</tr>
<tr>
<td align="center">
<sup>168</sup>Yb</td>
<td align="center">BS, Activation</td>
<td align="center">
<italic>E</italic>
<sub>max</sub> &#x3d; 10,15, Endpoint</td>
<td align="center">
<xref ref-type="bibr" rid="B14">Bholane et al. (2022)</xref>
</td>
</tr>
<tr>
<td align="center">
<sup>174</sup>Hf</td>
<td align="left"/>
<td align="left"/>
<td align="center">No data</td>
</tr>
<tr>
<td align="center">
<sup>180</sup>Ta</td>
<td align="left"/>
<td align="left"/>
<td align="center">No data</td>
</tr>
<tr>
<td align="center">
<sup>180</sup>W</td>
<td align="left"/>
<td align="left"/>
<td align="center">No data</td>
</tr>
<tr>
<td align="center">
<sup>184</sup>Os</td>
<td align="left"/>
<td align="left"/>
<td align="center">No data</td>
</tr>
<tr>
<td align="center">
<sup>190</sup>Pt</td>
<td align="center">BS, Activation</td>
<td align="center">
<italic>E</italic>
<sub>max</sub> &#x3d; 8.911 Endpoint</td>
<td align="center">
<xref ref-type="bibr" rid="B42">Mohr et al. (2000)</xref>
</td>
</tr>
<tr>
<td align="center">
<sup>196</sup>Hg</td>
<td align="center">BS, Activation</td>
<td align="center">
<italic>E</italic>
<sub>max</sub> &#x3d; 9.45,9.9 Endpoint</td>
<td align="center">
<xref ref-type="bibr" rid="B52">Sonnabend et al. (2004)</xref>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The lightest <italic>p</italic>-process nuclei <sup>74</sup>Se and <sup>84</sup>Sr isotopes have been measured once using Bremsstrahlung from the Betatron at Saratov State University in Russia with a BF<sub>3</sub> counter setup by <xref ref-type="bibr" rid="B28">Goryachev and Zalesnyy (1982)</xref>. In the case of <sup>92</sup>Mo, this is one of the most well-studied <italic>p</italic>-process nuclei, where cross-section, integrated cross-section, and cross-section ratio measurements have been performed. The first data set on the photoneutron cross-section curve and integrated cross-section have been measured by residual activity method using the Tohoku University 25 MeV betatron Bremsstrahlung gamma rays by <xref ref-type="bibr" rid="B43">Mutsuro et al. (1959)</xref>. The second data set is by <xref ref-type="bibr" rid="B32">Ishkhanov et al. (1970)</xref> using Bremsstrahlung from the Betatron at Moscow State University, in the range of 12.2 MeV and 26.8 MeV, using BF<sub>3</sub> detectors. The third data set for the cross-section of <sup>92</sup>Mo and also <sup>94</sup>Mo were obtained by the positron annihilation in-flight of monochromatic positions from the 60 MeV linear accelerator at Saclay in by <xref ref-type="bibr" rid="B5">Beil et al. (1974)</xref> and <xref ref-type="bibr" rid="B16">Carlos et al. (1974)</xref> using their gadolinium-loaded liquid scintillator tank setup in the range of 12.53&#x2013;29.47 MeV. In a recent measurement, the cross sections for the (<italic>&#x3b3;</italic>, <italic>n</italic>) reaction have again been measured using Bremsstrahlung photons from an electron accelerator and determined using the gamma-activation method (<xref ref-type="bibr" rid="B31">Ishkhanov et al., 2014</xref>) at the end-point energies of 19.5, 29.1, and 67.7 MeV at Moscow State University.</p>
<p>The <sup>94</sup>Mo(<italic>&#x3b3;</italic>,n) reaction has been investigated with quasi-monochromatic LCS photon beams both at TERAS in Japan (<xref ref-type="bibr" rid="B64">Utsunomiya et al., 2013</xref>), and HI<italic>&#x3b3;</italic>S facility of the Triangle Universities Nuclear Laboratory (TUNL) by <xref ref-type="bibr" rid="B4">Banu et al. (2019)</xref> in the range of 9.9&#x2013;11.78 MeV and 9.7&#x2013;13.5 MeV, respectively. The data obtained data all cases (<xref ref-type="bibr" rid="B5">Beil et al., 1974</xref>; <xref ref-type="bibr" rid="B64">Utsunomiya et al., 2013</xref>; <xref ref-type="bibr" rid="B4">Banu et al., 2019</xref>) are in good agreement below 10.8 MeV photon energies. However, above that, energy results of <xref ref-type="bibr" rid="B4">Banu et al. (2019)</xref> start to deviate from the <xref ref-type="bibr" rid="B5">Beil et al. (1974)</xref> and <xref ref-type="bibr" rid="B64">Utsunomiya et al. (2013)</xref> data when the contribution to the measured cross sections from neutrons emitted from excited states that <italic>&#x3b3;</italic> decay to the ground state in <sup>93</sup>Mo. Note that neither <xref ref-type="bibr" rid="B64">Utsunomiya et al. (2013)</xref> or <xref ref-type="bibr" rid="B4">Banu et al. (2019)</xref> had a flat-efficiency neutron detector but relied on the ring-ratio method (<xref ref-type="bibr" rid="B64">Utsunomiya et al., 2013</xref>) or <sc>Geant4</sc> simulations of the possible branching channels (<xref ref-type="bibr" rid="B4">Banu et al., 2019</xref>) to infer the efficiency. Thus, the flat-efficiency ELIGANT-TN detector could provide an interesting complementary data set also here.</p>
<p>Cross sections have been measured for (<italic>&#x3b3;</italic>,n) reactions of <sup>96</sup>Ru, <sup>98</sup>Ru, and <sup>102</sup>Pd by <xref ref-type="bibr" rid="B60">Tickner et al. (2010)</xref> and <xref ref-type="bibr" rid="B49">Skakun et al. (2013)</xref>. The first measurement used Bremsstrahlung radiation with end-point energies of 11&#x2013;14 MeV using the activation technique in the Australian Radiation Protection and Nuclear Safety Agency in Melbourne, Australia. The second measurement was performed to determine the integral cross-section using Bremsstrahlung beams at the electron linear accelerator of Kharkiv Institute of Physics and Technology (KIPT) and the Microtron of Uzhgorod National University in Ukraine with different end-points in the range of 10.85&#x2013;14 MeV (<xref ref-type="bibr" rid="B49">Skakun et al., 2013</xref>). The cross-section of <sup>108</sup>Cd has been measured with the induced-activity method by using a beam of Bremsstrahlung radiation with end-point energy of 55 MeV at the racetrack microtron RM-55 by <xref ref-type="bibr" rid="B11">Belyshev et al. (2014)</xref> at the Lebedev Physical Institute in Moscow. The cross-section of the of <sup>113</sup>In(<italic>&#x3b3;</italic>,n)<sup>112m</sup>In reaction has been measured in the Bremsstrahlung end-point energy range between 10 and 13 MeV by activation using the <sup>197</sup>Au(<italic>&#x3b3;</italic>,n)<sup>196</sup>Au reaction cross section as a reference standard by <xref ref-type="bibr" rid="B50">Skakun et al. (2016)</xref> at KIPT and the Uzhgorod National University.</p>
<p>For the <sup>112</sup>Sn and <sup>114</sup>Sn, the only direct experimental data available is from Bremsstrahlung experiments from Moscow State University by <xref ref-type="bibr" rid="B54">Sorokin and Yurev (1975)</xref> and <xref ref-type="bibr" rid="B53">Sorokin et al. (1972)</xref>, respectively, using BF<sub>3</sub> detectors. In the <sup>114</sup>Sn case, the target had a relatively low isotopic purity with only 65.1%. Additionally, these data sets have been evaluated by <xref ref-type="bibr" rid="B71">Varlamov et al. (2010)</xref> extracting cross-section curves based on the theoretical modelling of cross-section ratios. However, model-independent direct measurements would be desirable.</p>
<p>The population of isomeric states in the isotopes <sup>130</sup>Ba and <sup>132</sup>Ba has been measured twice using Bremsstrahlung beams and the activation method, once at the Joint Institute for Nuclear Research (JINR) in Dubna (<xref ref-type="bibr" rid="B10">Belov et al., 1996b</xref>; <xref ref-type="bibr" rid="B58">Thiep et al., 2012</xref>) and once at Uzhgorod National University (<xref ref-type="bibr" rid="B36">Mazur and Bigan, 2001</xref>), with consistent results. However, no exclusive cross-section that populates ground-state to ground-state data can be found. One case highlighted in the work by <xref ref-type="bibr" rid="B15">Camera et al. (2016)</xref> is <sup>138</sup>La, with a natural abundance of 0.089%. This isotope has been out of reach from experimental measurements with previous facilities and is systematically problematic in <italic>p</italic>-process calculations as it is consistently underproduced in all <italic>p</italic>-process scenarios. Here, the destruction cross-section, <sup>138</sup>La (<italic>&#x3b3;</italic>, n)<sup>137</sup>La is of fundamental importance as it determines the balance between the <sup>139</sup>La (<italic>&#x3b3;</italic>, n)<sup>138</sup>La production, whose ground state cross section is known (<xref ref-type="bibr" rid="B65">Utsunomiya et al., 2006b</xref>), and destruction. The activation method was used for <sup>136</sup>Ce with Bremsstrahlung beams at Uzhgorod National University by <xref ref-type="bibr" rid="B38">Mazur et al. (2019)</xref> providing data in the energy range 10.5&#x2013;18 MeV. For <sup>138</sup>Ce, no absolute (<italic>&#x3b3;</italic>, n) cross sections are available, only isomeric ratios (<xref ref-type="bibr" rid="B9">Belov et al., 1996a</xref>; <xref ref-type="bibr" rid="B44">Palvanov and Razhabov, 1999</xref>; <xref ref-type="bibr" rid="B27">Goryachev and Zalesnyy, 2001</xref>; <xref ref-type="bibr" rid="B59">Thiep et al., 2009</xref>; <xref ref-type="bibr" rid="B37">Mazur et al., 2016</xref>) from JINR in Russia, KIPT and Uzhgorod National University in Ukraine, and the SB-50 Betatron of the National University of Uzbekistan; and an estimation of the total cross-section from <xref ref-type="bibr" rid="B20">Dietrich and Berman (1988)</xref> used by <xref ref-type="bibr" rid="B9">Belov et al. (1996a)</xref>.</p>
<p>One of the nuclei that have recent LCS measurements available is <sup>144</sup>Sm, which was remeasured by <xref ref-type="bibr" rid="B22">Filipescu et al. (2014)</xref> using LCS and a <sup>3</sup>He neutron detector. In this measurement, a systematic reduction of the cross-section with 20% was found compared to the previous data set by <xref ref-type="bibr" rid="B16">Carlos et al. (1974)</xref> from Saclay, as shown in <xref ref-type="fig" rid="F1">Figure 1</xref>, based on positron annihilation in-flight with a gadolinium-loaded scintillator tank, and highlights the importance of also remeasuring existing data with new methods.</p>
<p>For the remaining heavy nuclei, the data is increasingly sparse. The <sup>152</sup>Gd isotope has been measured once using Bremsstrahlung from the Betatron at Saratov State University in Russia with 12 proportional counters by <xref ref-type="bibr" rid="B28">Goryachev and Zalesnyy (1982)</xref>. There is only one integrated data point each available for <sup>156</sup>Dy, <sup>158</sup>Dy (<xref ref-type="bibr" rid="B68">Vagena and Stoulos, 2017b</xref>), and <sup>162</sup>Er <xref ref-type="bibr" rid="B67">Vagena and Stoulos (2017a)</xref>, in the energy range 9.1&#x2013;14 MeV obtained via Bremsstrahlung at the University Hospital in Larissa, Greece. A similar situation occurs for <sup>168</sup>Yb, where two integrated Bremsstrahlung cross sections were measured at 10 MeV and 15 MeV end-point energies by <xref ref-type="bibr" rid="B14">Bholane et al. (2022)</xref> at Dr. Vikhe Patil Memorial Hospital, Ahmednagar, India, and in the energy range 9.1&#x2013;14 MeV by (<xref ref-type="bibr" rid="B69">Vagena and Stoulos, 2018</xref>), using the activation technique. Also, in this case, systematic measurements would be desirable.</p>
<p>The isotope <sup>180</sup>Ta, identified in the studies by <xref ref-type="bibr" rid="B15">Camera et al. (2016)</xref> as one of the flagship cases for studies with ELIGANT-TN at ELI-NP, is unique in this case due to the extreme rarity of the element and the existence of a long-lived isomeric state with a significantly longer lifetime than the ground state. Thus, in the <sup>179&#x2212;181</sup>Ta network, there are eight different production and destruction reactions, in addition to the thermalization equilibrium between <sup>180m</sup>Ta and <sup>180g</sup>Ta, see for example the discussion by <xref ref-type="bibr" rid="B8">Belic et al. (1999)</xref>, <xref ref-type="bibr" rid="B7">Belic et al. (2002)</xref>; <xref ref-type="bibr" rid="B48">Schlegel et al. (2016)</xref>. Of these, the <sup>181</sup>Ta (<italic>&#x3b3;</italic>, n)<sup>180</sup>Ta (<xref ref-type="bibr" rid="B62">Utsunomiya et al., 2003</xref>) and the <sup>180m</sup>Ta (n, <italic>&#x3b3;</italic>)<sup>181</sup>Ta (<xref ref-type="bibr" rid="B74">Wisshak et al., 2001</xref>) are measured, as well as the isomeric ratios in the <sup>181</sup>Ta (<italic>&#x3b3;</italic>, n)<sup>180</sup>Ta reaction (<xref ref-type="bibr" rid="B26">Goko et al., 2006</xref>). Measurements of <sup>180m</sup>Ta (<italic>&#x3b3;</italic>, n)<sup>181</sup>Ta is challenging due to the natural abundance of the target being only 0.012% and, thus, very high-intensity <italic>&#x3b3;</italic>-ray beams with well-defined energies to reduce the uncertainties related to subtraction of, for example, Bremsstrahlung spectra and high-efficiency neutron detector systems are critical. However, also here it is important to note that this ground-state cross-section will only provide a lower limit of the astrophysical rate due to the dominating contributions of thermally excited states (<xref ref-type="bibr" rid="B40">Mohr et al., 2007</xref>; <xref ref-type="bibr" rid="B29">Hayakawa et al., 2010a</xref>; <xref ref-type="bibr" rid="B30">Hayakawa et al., 2010b</xref>) and the main impact will be constraining theoretical models.</p>
<p>For <sup>180</sup>W, only the isomeric ratios have been measured by <xref ref-type="bibr" rid="B19">Demekhina et al. (2002)</xref> at the synchrotron facility using the activation technique at the Yerevan Physics Institute in Armenia. For <sup>190</sup>Pt, the stellar reaction rates have been simulated by a superposition of Bremsstrahlung measurements at different energies by <xref ref-type="bibr" rid="B73">Vogt et al. (2001)</xref> and the threshold reaction cross-section has been measured from a Bremsstrahlung spectrum at the Superconducting-DArmstadt-LINear-ACcelerator (S-DALINAC) using the activation techniqe with high-purity germanium detectors by <xref ref-type="bibr" rid="B42">Mohr et al. (2000)</xref>. For <sup>196</sup>Hg, isomeric ratios have been measured by <xref ref-type="bibr" rid="B57">Thiep et al. (2019)</xref> with Bremsstrahlung at JINR, and the threshold reaction cross-section has been measured by the same method as <sup>190</sup>Pt at the S-DALINAC by <xref ref-type="bibr" rid="B52">Sonnabend et al. (2004)</xref>.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s3">
<title>3 Conclusion</title>
<p>We have presented an overview of the existing nuclear data on (<italic>&#x3b3;</italic>, n) reactions for <italic>p</italic>-process nuclei in the context of the upcoming <italic>&#x3b3;</italic>-ray beam at ELI-NP. Currently, the data is sparse, and several existing data sets suffer from inconsistencies or lack of independent verification. This implies that the planned ELI-NP measurement programme will be able to significantly contribute to the body of photonuclear data on the <italic>p</italic>-process nuclei. While not the focus of this article, in addition to (<italic>&#x3b3;</italic>, n) reactions a dedicated scientific program for charged-particle reactions like (<italic>&#x3b3;</italic>, p) and (<italic>&#x3b3;</italic>, <italic>&#x3b1;</italic>) is also in preparation (<xref ref-type="bibr" rid="B56">Tesileanu et al., 2020</xref>) that will provide an even broader understanding of these rare isotopes.</p>
</sec>
</body>
<back>
<sec id="s4">
<title>Author contributions</title>
<p>All authors listed have made a substantial, direct, and intellectual contribution to the work and approved it for publication.</p>
</sec>
<sec id="s5">
<title>Funding</title>
<p>P-AS acknowledges the support from the Ministry of Research, Innovation and Digitization, CNCSâUEFISCDI, project number PN-III-P4-PCE-2021-0595, within PNCDI III. AK and DT acknowledge the support of the Romanian Ministry of Research and Innovation under research contract PN 23 21 01 06.</p>
</sec>
<ack>
<p>The authors would like to thank Prof. D. L. Balabanski at ELI-NP for proofreading of the manuscript.</p>
</ack>
<sec sec-type="COI-statement" id="s6">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s7">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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