Description of α-decay half-lives of heaviest nuclei

Accuracy of description of αdecay half-lives Tα of heavy and superheavy nuclei is studied. A simple 5-parameter phenomenological formula, expressing Tα as a function of the α-decay energy Qα, is considered. It is found that such a formula can describe measured values of Tα within a factor 1.3 for even-even, 2.1 for odd-even, 3.2 for even-odd, and 4.0 for odd-odd nuclei, when measured values of Qα are taken. This accuracy is decreased by a factor of about 4, when theoretical values of Qα are used. The latter are obtained within a macroscopic-microscopic approach and reproduce the experimental values of Qα of the same nuclei with an average accuracy of about 190 keV for even-even, 270 keV for odd-even, 260 keV for even-odd, and 330 keV for odd-odd nuclei. In this analysis, 201 nuclei with proton number Z = 84-111 and neutron number N = 128-161, with measured values of both Qα and Tα, are taken