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

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.

23 pages, 7 figures, accepted for publication in PRC. The authors would like to thank the referee for the recommendations

References in corpus (4)

• Astrophysical S factor and rate of ${}^7\mathrm{Be}(p,\gamma {)}^8\mathrm{B}$ direct capture reaction in a potential model
• Bound-to-continuum potential model for the $(p,\gamma )$ reactions of the CNO cycle
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• Magnetic dipole transition in proton-deuteron radiative capture at BBN energies within potential model
• Primordial deuterium abundance from calculations of $p(n,\gamma )$ and $d(p,\gamma )$ reactions within potential-model approach