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Main Authors: Jiang, Yuchen, He, Zhenyu, Luo, Yudong, Xin, Wenyu, Chen, Jie, Li, Xinyue, Shen, Yangping, Guo, Bing, Li, Guo, Pang, Danyang, Ma, Tianli, Nan, Weike, Kajino, Toshitaka, Liu, Weiping
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2506.17661
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author Jiang, Yuchen
He, Zhenyu
Luo, Yudong
Xin, Wenyu
Chen, Jie
Li, Xinyue
Shen, Yangping
Guo, Bing
Li, Guo
Pang, Danyang
Ma, Tianli
Nan, Weike
Kajino, Toshitaka
Liu, Weiping
author_facet Jiang, Yuchen
He, Zhenyu
Luo, Yudong
Xin, Wenyu
Chen, Jie
Li, Xinyue
Shen, Yangping
Guo, Bing
Li, Guo
Pang, Danyang
Ma, Tianli
Nan, Weike
Kajino, Toshitaka
Liu, Weiping
contents We present a novel experiment to investigate the spectroscopic factor of the $^{15}$C ground state for the first time using single-neutron $removal$ transfer reactions on $^{15}$C. Two consistent spectroscopic factors were derived from the (p, d) and (d, t) reactions, which were subsequently used to deduce the $^{14}$C(n, $γ$)$^{15}$C reaction cross section and the corresponding stellar reaction rate. A typical cross section of (3.89 $\pm$ 0.76) $μ$b is determined at $E_\mathrm{_{c.m.}}$ = 23.3 keV. At the temperature range of 0.01-4 GK, our new reaction rate is 2.4-3.7 times higher than that of the first direct measurement and 20\%-25\% lower than that of the most recent direct measurement, respectively. Moreover, it is interesting that we can associate a long-standing nuclear structure issue, i.e., the so-called ``quenching'' effect, with this astrophysically relevant reaction. Finally, motivated by astrophysical interests of this reaction decades ago, implications of our new rate on several astrophysical problems are evaluated using state-of-the-art theoretical models. Our calculations demonstrate that the abundances of $^{14}$N and $^{15}$N can be enhanced in the inner regions of asymptotic giant branch (AGB) stars, though with minimal impact on the chemical compositions of the interstellar medium. In the inhomogeneous Big Bang nucleosynthesis, the updated reaction rate can lead to a $\sim 20\%$ variation in the final yields of $^{15}$N in neutron rich regions. For the $r$-process in the core-collapse supernovae, a slight difference of $\sim 0.2\%$ in the final abundances of heavy elements with $A > 90$ can be found by using our new rate.
format Preprint
id arxiv_https___arxiv_org_abs_2506_17661
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle New Determination of the $^{14}$C(n, $γ$)$^{15}$C Reaction Rate and Its Astrophysical Implications
Jiang, Yuchen
He, Zhenyu
Luo, Yudong
Xin, Wenyu
Chen, Jie
Li, Xinyue
Shen, Yangping
Guo, Bing
Li, Guo
Pang, Danyang
Ma, Tianli
Nan, Weike
Kajino, Toshitaka
Liu, Weiping
Nuclear Experiment
High Energy Astrophysical Phenomena
We present a novel experiment to investigate the spectroscopic factor of the $^{15}$C ground state for the first time using single-neutron $removal$ transfer reactions on $^{15}$C. Two consistent spectroscopic factors were derived from the (p, d) and (d, t) reactions, which were subsequently used to deduce the $^{14}$C(n, $γ$)$^{15}$C reaction cross section and the corresponding stellar reaction rate. A typical cross section of (3.89 $\pm$ 0.76) $μ$b is determined at $E_\mathrm{_{c.m.}}$ = 23.3 keV. At the temperature range of 0.01-4 GK, our new reaction rate is 2.4-3.7 times higher than that of the first direct measurement and 20\%-25\% lower than that of the most recent direct measurement, respectively. Moreover, it is interesting that we can associate a long-standing nuclear structure issue, i.e., the so-called ``quenching'' effect, with this astrophysically relevant reaction. Finally, motivated by astrophysical interests of this reaction decades ago, implications of our new rate on several astrophysical problems are evaluated using state-of-the-art theoretical models. Our calculations demonstrate that the abundances of $^{14}$N and $^{15}$N can be enhanced in the inner regions of asymptotic giant branch (AGB) stars, though with minimal impact on the chemical compositions of the interstellar medium. In the inhomogeneous Big Bang nucleosynthesis, the updated reaction rate can lead to a $\sim 20\%$ variation in the final yields of $^{15}$N in neutron rich regions. For the $r$-process in the core-collapse supernovae, a slight difference of $\sim 0.2\%$ in the final abundances of heavy elements with $A > 90$ can be found by using our new rate.
title New Determination of the $^{14}$C(n, $γ$)$^{15}$C Reaction Rate and Its Astrophysical Implications
topic Nuclear Experiment
High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2506.17661