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=⁶ 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 direct neutron capture reactions and the astrophysical reaction rates are derived.