Eur. Phys. J. Plus (2022) 137: 745
https://doi.org/10.1140/epjp/s13360-022-02991-2

Regular Article

S-factors and thermonuclear reaction rate for p+${}^{13}$N, p+${}^{14}$N and p+${}^{19}$F fusion reactions at energies much below the Coulomb barrrier

Department of Physics, Aliah University, IIA/27, Newtown, 700160, Kolkata, India

^a drakhan.rsm.phys@gmail.com, drakhan.phys@aliah.ac.in

Received: 29 October 2021
Accepted: 21 June 2022
Published online: 29 June 2022

Abstract

Nuclear fusion reactions at low energies ($E\sim$ 1eV to few keV) are crucial for the primordial nucleosynthesis of light elements. Nuclear fusion reactions in this energy window can be understood fruitfully in terms of quantum mechanical tunneling through the mutual Coulomb barrier of interacting nuclei. In this work, we studied the astrophysical S-function and the thermonuclear reaction rate in the selective resonant tunneling model (SRTM) approach for the p+${}^{13}$N, p+${}^{14}$N and p+${}^{19}$F nuclear fusion reactions. We used space-varying complex Gaussian-type nuclear potential. The quantum mechanical findings of the S-factor and reaction rate are in good agreement with the experimentally observed results found in the literature.