Low-energy $^7$Li($n,\gamma$)$^8$Li and $^7$Be($p,\gamma$)$^8$B radiative capture reactions within the Skyrme Hartree-Fock approach

TL;DR

This study uses the Skyrme Hartree-Fock model to analyze low-energy radiative capture reactions involving lithium and beryllium isotopes, successfully describing electromagnetic transitions and calculating astrophysical S-factors.

Contribution

It introduces a microscopic Skyrme Hartree-Fock approach to simultaneously analyze multiple electromagnetic transitions in these reactions, providing consistent bound and scattering state calculations.

Findings

Electric dipole transitions are well described with minimal adjustments.

Resonant magnetic dipole transitions are characterized at specific energies.

The astrophysical S-factor for the $^7$Be($p, abla$)$^8$B reaction is determined to be 22.3 eV b.

Abstract

The electromagnetic dipole transitions in $^7$Be($p,\gamma$)$^8$B and $^7$Li($n,\gamma$)$^8$Li reactions at the keV-energy region were analyzed simultaneously within the Skyrme Hartree-Fock potential model. The Skyrme Hartree-Fock calculation is adopted as a microscopic approach to obtain consistently the single-particle bound and scattering states in the calculation of the radial overlap function within the potential model. All non-resonant and resonant electromagnetic dipole transitions are taken into account. The electric dipole transitions are successfully described with the slightest adjustment. The resonant magnetic dipole transitions at $633$ keV and $2184$ keV of $^7$Be($p,\gamma$)$^8$B reaction, and the one at $222$ keV of $^7$Li($n,\gamma$)$^8$Li are also analyzed. The astrophysical $\mathcal{S}_{17}(0)$ factor of $^7$Be($p,\gamma$)$^8$B reaction is found to be $22.3$ eV\,b.