Neutron Spectroscopic Factors of ⁷Li and Astrophysical ⁶Li(n,γ)⁷Li Reaction Rates

Angular distributions of the ⁷Li(⁶Li, ⁶Li)⁷Li elastic scattering and the ⁷Li(⁶Li, ⁷Li_g.s.)⁶Li, ⁷Li(⁶Li, ⁷Li_0.48)⁶Li transfer reactions at E_c.m. = 23.7 MeV are measured with the Q3D magnetic spectrograph. The optical potential of ⁶Li + ⁷Li is obtained by fitting the elastic scattering differential cross sections. Based on the distorted wave Born approximation (DWBA) analysis, spectroscopic factors of ⁷Li = ⁶Li ⊗ n are determined to be 0.73 ± 0.05 and 0.90 ± 0.09 for the ground and first exited states in ⁷Li, respectively. Using the spectroscopic factors, the cross sections of the ⁶Li(n, γ_{0, 1})⁷Li direct neutron capture reactions and the astrophysical ⁶Li(n, γ)⁷Li reaction rates are derived.