Decay Law Of Allowed And Forbidden Transitions In ?~--decay Half-lives

Recently, due to the rapidly development of nuclear physics and nuclear astrophysics, in the study of nuclear ?-decay decay law allowed transition and forbidden to fully know the?~--decay rule of the nucleus and astrophysics nuclide synthesis research are particularly important. Experiment data of the nuclear ?-decay half-lives were systematically analyzed and investigated before. They have discovered a new formula between the half-live (T1/2) of the ?~--decay and the nucleon number (Z, N) far from the ?-stable line. It is useful for experimental physicists to study the nuclear -decay decay law.In this article, we have been found the exponential that the half-life between ?~--decay half-live and the nucleon (Z, N)of parent nuclei far from the ? stable line. Based on the exponential law, We distinguish allowed transition and forbidden transition(this article mainly study the first forbidden transitions and the second forbidden transitions),We use the least squares fitting method for fitting. And we calculate the ?-decay half-life of allow transitions and forbidden forbidden transitions with the fitting parameters. The calculation results show that the theoretical calculation results of the coincident well with the experimental values. And on the basis of the study, we predict?-decay half-lives. It is a great significance for studying nuclear physics and astrophysics.In addition, we also study half-lives of waiting for N =126 near nuclides far from the ?-stable line. At the same time,we use the same method for fitting. Than, we calculate the half-lives of waiting for N = 126 near nuclides far from the?-stable line. The results of theoretical calculation values are compared with recent theoretical calculation results and the experimental values. We discover the theoretical calculation values are well reproduced by experimental values.Finally, we predict the half-lives of nuclear ?-decay of waiting for N = 126 near nuclides far from the ?-stable line.At the same time, the results can be used as reliable inputs for the network calculation for nuclei synthesis in cosmos.