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arXiv · 2410.16086

Enhanced $S$-factor for the $^{14}$N$(p,\gamma)^{15}$O reaction and its impact on the solar composition problem

Abstract

The solar composition problem has puzzled astrophysicists for more than 20 years. Recent measurements of carbon-nitrogen-oxygen (CNO) neutrinos by the Borexino experiment show a $\sim2\sigma$ tension with the "low-metallicity" determinations. $^{14}$N$(p,\gamma)^{15}$O, the slowest reaction in the CNO cycle, plays a crucial role in the standard solar model (SSM) calculations of CNO neutrino fluxes. Here we report a direct measurement of the $^{14}$N$(p,\gamma)^{15}$O reaction, in which $S$-factors for all transitions were simultaneously determined in the energy range of $E_p=110-260$ keV for the first time. Our results resolve previous discrepancies in the ground-state transition, yielding a zero-energy $S$-factor $S_{114}(0) = 1.92\pm0.08$ keV b which is 14% higher than the $1.68\pm0.14$ keV b recommended in Solar Fusion III (SF-III). With our $S_{114}$ values, the SSM B23-GS98, and the latest global analysis of solar neutrino measurements, the C and N photospheric abundance determined by the Borexino experiment is updated to $N_{\mathrm{CN}}=({4.45}^{+0.69}_{-0.61})\times10^{-4}$. This new $N_{\mathrm{CN}}$ value agrees well with latest "high-metallicity" composition, however, is also consistent with the "low-metallicity" determination within $\sim 1\sigma$ C.L., indicating that the solar metallicity problem remains an open question. In addition, the significant reduction in the uncertainty of $S_{114}$ paves the way for the precise determination of the CN abundance in future large-volume solar neutrino measurements.

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X. Chen, J. Su, Y. P. Shen, L. Y. Zhang, J. J. He, S. Z. Chen, S. Wang, Z. L. Shen, S. Lin, L. Y. Song, H. Zhang, L. H. Wang, X. Z. Jiang, L. Wang, Y. T. Huang, Z. W. Qin, F. C. Liu, Y. D. Sheng, Y. J. Chen, Y. L. Lu, X. Y. Li, J. Y. Dong, Y. C. Jiang, Y. Q. Zhang, Y. Zhang, J. W. Tian, D. Xiao, Z. M. Li, X. C. Han, J. J. Wei, H. Li, Z. An, W. P. Lin, B. Liao, H. N. Liu, F. S. Zhang, M. L. Qiu, C. Xu, S. L. Jin, F. Lu, J. F. Chen, W. Nan, Y. B. Wang, Z. H. Li, B. Guo, Y. Q. Gu, W. P. Liu. 2024-10-21. Enhanced $S$-factor for the $^{14}$N$(p,\gamma)^{15}$O reaction and its impact on the solar composition problem. https://arxiv.org/abs/2410.16086

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