Systematics of β−-decay half-lives of nuclei far from the β-stable line

Abstract

Experimental data of nuclear β−-decay half-lives are systematically analyzed and investigated. We have discovered an exponential law between β−-decay half-life and the nucleon number (Z, N) of parent nuclei far from the β-stable line. Based on the exponential law, we have proposed new formulae in which the shell effects are included to describe the β−-decay half-lives of nuclei far from the β-stable line. Experimental data are well reproduced by the formula. In addition, we have systematically studied the shell effects on β−-decay half-lives for nuclei far from stability. The correlation between the major shell or subshell closures and β−-decay half-lives is discussed. This correlation provides the feasibility of obtaining information about the major shell or subshell closures of nuclei far from the β-stable line according to the exponential law.