New determination of the spectroscopic factor of ${}^7$Be ground state and the ${}^6$Li($p,\gamma$)${}^7$Be astrophysical S(E) factors

The `lithium problem’ in Big Bang Nucleosynthesis (BBN) has recently focused on the reactions involving ${}^7$Be. The ${}^6$Li($p,\gamma$)${}^7$Be reaction can provide us not only the information for destroying ${}^6$Li but also the information for producing ${}^7$Be. In the present work, the proton spectroscopic factor in ${}^7$Be was extracted to be 0.70 $\pm$ 0.17 from the angular distribution of ${}^7$Be($d$, ${}^3$He)${}^6$Li at $E_{\mathrm{c}\mathrm{.}\mathrm{m}\mathrm{.}}$ = 6.7 MeV. The value was then used to compute the direct component of the astrophysical ${}^6$Li($p,\gamma$)${}^7$Be${}_{\mathrm{g}\mathrm{.}\mathrm{s}\mathrm{.}}$ S(E) factors and determine the resonance parameters from the total S(E) factors.