Analysis of the ${}^3\mathrm{He}(\alpha ,\gamma {)}^7\mathrm{Be}$ and ${}^3\mathrm{H}(\alpha ,\gamma {)}^7\mathrm{Li}$ astrophysical direct capture reactions in a modified potential-model approach

Abstract

Astrophysical $S$ factors and reaction rates of the direct radiative capture processes ${}^3\mathrm{He}(\alpha ,\gamma {)}^7\mathrm{Be}$ and ${}^3\mathrm{H}(\alpha ,\gamma {)}^7\mathrm{Li}$, as well as the primordial abundance of the ${}^7\mathrm{Li}$ element, are estimated in the framework of a modified two-body potential model. It is shown that suitable modification of phase-equivalent $\alpha {-}^3\mathrm{He}$ potentials in the $d$ waves can improve the description of the astrophysical $S$ factor for the direct ${}^3\mathrm{He}(\alpha ,\gamma {)}^7\mathrm{Be}$ radiative capture reaction at energies above 0.5 MeV. An estimated ${}^{7}Li/H$ abundance ratio of $(4.89\pm 0.18)\times 10^{-10}$ is in very good agreement with the recent measurement of $(5.0\pm 0.3)\times 10^{-10}$ by the LUNA collaboration.

22 pages, 10 figures

References in corpus (10)

• The Primordial Lithium Problem
• Activation measurement of the 3He(alpha,gamma)7Be cross section at low energy
• Astrophysical S-factor of the 3He(alpha,gamma)7Be reaction measured at low energy via prompt and delayed gamma detection
• Microscopic calculation of the 3He(alpha,gamma)7Be and 3H(alpha,gamma)7Li capture cross sections using realistic interactions
• Primordial nucleosynthesis
• Activation measurement of the 3He(a,g)7Be reaction cross section at high energies
• Low-energy ${}^3$He($\alpha$,$\alpha$)${}^3$He elastic scattering and the ${}^3$He($\alpha$,$\gamma$)${}^7$Be reaction
• Cross section of ${}^3$He($\alpha$,$\gamma$)${}^7$Be around the ${}^7$Be proton separation threshold
• Constraining Big Bang lithium production with recent solar neutrino data
• Electric and magnetic response to the continuum for A=7 isobars in a dicluster model

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• Astrophysical S factor and rate of ${}^7\mathrm{Be}(p,\gamma {)}^8\mathrm{B}$ direct capture reaction in a potential model
• Study of the direct ${}^{16}\mathrm{O}(p,\gamma {)}^{17}\mathrm{F}$ astrophysical capture reaction within a potential model approach