Astrophysical S-factor for the radiative capture reaction 13C(p,g)14N

TL;DR

This paper analyzes the p13C radiative capture reaction to determine the astrophysical S-factor using phase shift analysis and potential cluster models, successfully explaining experimental data within the 0.03-0.8 MeV energy range.

Contribution

It introduces a phase shift analysis focusing on the 3S1 wave and constructs potentials for the p13C system to model the S-factor accurately.

Findings

The 3S1 wave suffices for phase shift analysis in the 250-750 keV range.

Constructed potentials successfully describe the S-factor data.

The model explains the energy dependence of the S-factor at resonance.

Abstract

The phase shift analysis, done on the basis of the known measurements of the differential cross-sections of the p13C elastic scattering at the energy range 250-750 keV, shows that it is enough to take into account only 3S1 wave in the considered energy region. The potential for the triplet 3S1 state in p13C system at the resonance energy 0.55 MeV corresponding to quantum numbers JpT = 1-1 as well as the potential for the 3P1 bound state of 14N were constructed on the basis of the obtained scattering phase shifts. The possibility to describe the experimental data of the astrophysical S-factor of the p13C radiative capture at the energies 0.03-0.8 MeV was considered within the potential cluster model with the forbidden states. It was shown that we properly succeed in explanation of the energy behavior of the astrophysical S-factor for the p13C radiative capture at the resonance energy range 0.55 MeV (laboratory system).