Shell model calculations for the allowed Gamow-Teller β-decays of light nuclei

Abstract

The allowed Gamow-Teller β-decay information of Li, Be, B, C, and N isotopes under the frame work of nuclear shell model is calculated herein. Theoretical results of Q values, half-lives, excitation energies, log ft values, branching fractions, and β-delayed proton/neutron emission probabilities are tabulated and compared with experimental data. The deviations from the observations are also analyzed. The 11Be nucleus is well known for its anomaly ground state Jπ=1/2+. Thus, we compared the theoretical energy levels with the experimental data and the agreements for low excitation states are consistent. The quenching factor is also evaluated and discussed.