$^{14}$N(p,$γ)^{15}$O $S$ factor and the puzzling solar composition problem

Fuente: arXiv
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Autori principali: Dong, G. X., Wang, X. B., Michel, N., Płoszajczak, M.
Natura: Preprint
Pubblicazione: 2026
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author Dong, G. X.
Wang, X. B.
Michel, N.
Płoszajczak, M.
author_facet Dong, G. X.
Wang, X. B.
Michel, N.
Płoszajczak, M.
contents In stellar hydrogen burning, the CNO cycle dominates, with the $^{14}$N(p,$γ)^{15}$O reaction being the slowest process. Consequently, this reaction critically influences the solar composition, CNO neutrino fluxes, and the evolution of star clusters and galaxies. Recent direct measurements of $^{14}$N(p,$γ)^{15}$O have reported an enhanced astrophysical $S$-factor. This work presents a microscopic theoretical study of the $^{14}$N(p,$γ)^{15}$O reaction using the Gamow shell model in the coupled-channel representation (GSM-CC). The calculations achieve good agreement with experimental data for both the total $S$-factors and the separate contributions from transitions to the ground state and excited states of $^{15}\mathrm{O}$. However, the predicted $S$-factor at zero energy exceeds the experimental value. Based on the computed $S$-factors, the derived carbon and nitrogen abundances align closely with predictions from recent $^{14}$N(p,$γ)^{15}$O cross-section measurements, yet remain significantly lower than the latest solar neutrino observation values.
format Preprint
id arxiv_https___arxiv_org_abs_2603_07056
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle $^{14}$N(p,$γ)^{15}$O $S$ factor and the puzzling solar composition problem
Dong, G. X.
Wang, X. B.
Michel, N.
Płoszajczak, M.
Nuclear Theory
In stellar hydrogen burning, the CNO cycle dominates, with the $^{14}$N(p,$γ)^{15}$O reaction being the slowest process. Consequently, this reaction critically influences the solar composition, CNO neutrino fluxes, and the evolution of star clusters and galaxies. Recent direct measurements of $^{14}$N(p,$γ)^{15}$O have reported an enhanced astrophysical $S$-factor. This work presents a microscopic theoretical study of the $^{14}$N(p,$γ)^{15}$O reaction using the Gamow shell model in the coupled-channel representation (GSM-CC). The calculations achieve good agreement with experimental data for both the total $S$-factors and the separate contributions from transitions to the ground state and excited states of $^{15}\mathrm{O}$. However, the predicted $S$-factor at zero energy exceeds the experimental value. Based on the computed $S$-factors, the derived carbon and nitrogen abundances align closely with predictions from recent $^{14}$N(p,$γ)^{15}$O cross-section measurements, yet remain significantly lower than the latest solar neutrino observation values.
title $^{14}$N(p,$γ)^{15}$O $S$ factor and the puzzling solar composition problem
topic Nuclear Theory
url https://arxiv.org/abs/2603.07056