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

TL;DR

This study refines the spectroscopic factor of $^7$Be's ground state and calculates the astrophysical S(E) factors for the $^6$Li($p,\, ext{gamma}$)$^7$Be reaction, relevant to Big Bang Nucleosynthesis.

Contribution

It provides a new measurement of the proton spectroscopic factor in $^7$Be and computes the direct component of the astrophysical S(E) factors for the reaction.

Findings

Spectroscopic factor of $^7$Be ground state is 0.70 ± 0.17.

Calculated S(E) factors for $^6$Li($p,\, ext{gamma}$)$^7$Be.

Determined resonance parameters from total S(E) factors.

Abstract

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 $E_\mathrm{c.m.}$ = 6.7 MeV. The value was then used to compute the direct component of the astrophysical $^6$Li($p, \gamma$)$^7$Be$_\mathrm{g.s.}$ S(E) factors and determine the resonance parameters from the total S(E) factors.