The Be7(p,gamma)B8 cross section and the properties of Be7

Abstract

We study the nonresonant part of the ${}^7$Be($p,\gamma$)${}^8$B reaction using a three-cluster resonating group model that is variationally converged and virtually complete in the ${}^4$He+${}^3$He+$p$ model space. The importance of using adequate nucleon-nucleon interaction is demonstrated. We find that the low-energy astrophysical $S$-factor is linearly correlated with the quadrupole moment of ${}^7$Be. A range of parameters is found where the most important ${}^7$Be and ${}^7$Li properties are reproduced simultaneously; the corresponding $S$-factor at $E_{\mathrm{cm}}=20$ keV is $24.6-26.1$ eV$\cdot$b.

Comments: REVTEX, 8 pages and 2 postscript figures. MAP-94