Fine structure of α decay to rotational states of heavy nuclei

To gain a better insight into α-decay fine structure, we calculate the relative intensities of α decay to 2+ and 4+ rotational states in the framework of the generalized liquid drop model (GLDM) and improved Royer's formula. The calculated relative intensities of α decay to 2+ states are in good agreement with the experimental data. For the relative intensities of α decay to 4+ states, a good agreement with experimental data is achieved for Th and U isotopes. The formula we obtain is useful for the analysis of experimental data of α-decay fine structure. In addition, some predicted relative intensities which are still not measured are provided for future experiments.