Ex) Article Title, Author, Keywords
Ex) Article Title, Author, Keywords
New Phys.: Sae Mulli 2022; 72: 291-295
Published online April 29, 2022 https://doi.org/10.3938/NPSM.72.291
Copyright © New Physics: Sae Mulli.
Sangyeong Son^{1}∗, Shung-Ichi Ando^{2†}, Yongseok Oh^{1‡}
^{1}Department of Physics, Kyungpook National University, Daegu 41566, Korea
^{2}Department of Display and Semiconductor Engineering, Sunmoon University, Asan 31460, Korea
Correspondence to:*E-mail: thstkd3754@gmail.com
^{†}E-mail: sando@sunmoon.ac.kr
^{‡}E-mail: yohphy@knu.ac.kr
This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License(http://creativecommons.org/licenses/by-nc/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
The radiative proton capture on ^{15}N targets, i.e., ^{15}N(
Keywords: Nuclear reaction, Effective field theory, CNO cycle
A star, such as the sun, burns by converting four protons into an alpha particle through pp chain reactions. The conversion starts through the CNO cycles in stars heavier than the sun, namely,
The cross-sections of the ^{15}N(
In this study, we estimate the
This study is organized as follows. In the following section, we construct an effective Lagrangian required to describe the ^{15}N(
We start by considering the effective Lagrangian for the radiative proton capture of ^{15}N(
The first resonance state in the cluster EFT is described by introducing a di-field as an auxiliary composed of the proton and the ^{15}N nucleus. This approach leads to the effective Lagrangian as
where
Particularly, the interaction term containing
for
The Feynman diagrams for the reaction of ^{15}N(
The fully-dressed propagator of the di-field is expressed as an infinite series of the bare propagator and the self-energy (Fig. 2). The self-energy is denoted by the shaded bubble diagram which can be evaluated using Coulomb Green's function[12, 13] and can be written as
where
where
and the effective range expansion leads to
where
Following Refs.[12, 13, 15, 16], we obtain the radiative capture amplitudes for the ^{15}N(
where
with
where
where
We obtain the astrophysical
where
which can read the
In order to extrapolate the
Table 1 . Numerical values of the parameters,
Γ_{R}( | |||||
---|---|---|---|---|---|
6.735 × 10^{-3} | 0.1006 | 376.4 | 403.4 | 13.58 | 30.4 |
We can extrapolate the results based on the determined parameters to estimate the value of
Table 2 .
This work | Ref. [1] | Ref. [2] | Ref. [4] | Ref. [7]-I | Ref. [7]-II | Ref. [8] | Ref. [10] | Ref. [9] | |
---|---|---|---|---|---|---|---|---|---|
30.4 | 32 | 64 ± 6 | 39:6 ± 2:6 | 35 | 50 | 33.1-40.1 | 36:0 ± 6 | 40 ± 0:3 |
In this study, we describe the
This estimate is based on the experimental data of Ref. [5] and our analyses, therefore, focus on the first resonance region of the data. Thus, it would be interesting to extend this analysis to the second resonance region for investigating the dependence of
This work was supported by the National Research Foundation of Korea (NRF) under Grants No. NRF-2019R1F1A1040362, No. NRF-2020R1A2C1007597, and No. NRF-2018R1A6A1A06024970 (Basic Science Research Program).