Asymptotic normalization coefficients for ⁸B⃗⁷Be+p from a study of ⁸Li⃗⁷Li+n

Asymptotic normalization coefficients (ANCs) for ⁸Li⃗⁷Li+n have been extracted from the neutron transfer reaction ¹³C(⁷Li,⁸Li)¹²C at 63 MeV. These are related to the ANCs in ⁸B⃗⁷Be+p using charge symmetry. We extract ANCs for ⁸B which are in very good agreement with those inferred from proton transfer and breakup experiments. We have also separated the contributions from the p_1/2 and p_3/2 components in the transfer. We find the astrophysical factor for the ⁷Be(p,γ)⁸B reaction to be S₁₇(0)=17.6±1.7eV b. This is the first time that the rate of a direct capture reaction of astrophysical interest has been determined through a measurement of the ANCs in the mirror system.