New exponential law ofβ+-decay half-lives of nuclei far from β-stable line

Abstract

Experimental data of the nuclear \ensuremath{\beta}-decay half-lives are systematically analyzed and investigated. We have discovered a new formula for the ${\ensuremath{\beta}}^{+}$-decay half-lives of nuclei far from the \ensuremath{\beta}-stable line. It is stated that the logarithm of the half-life of ${\ensuremath{\beta}}^{+}$ decay with a same order depends linearly on the neutron number of parent nuclei along any isotopic chain. This shows that there is a new exponential law between the half-life of the ${\ensuremath{\beta}}^{+}$ decay and the nucleon number ($Z,N$). The possible physics behind this new law is discussed. Experimental data are well reproduced by this simple and accurate formula with four parameters. This new formula can be used to predict the ${\ensuremath{\beta}}^{+}$-decay half-lives of nuclei far from stability. It is useful for experimental physicists to analyze the data of ${\ensuremath{\beta}}^{+}$ decay.