Systematic study of α-decays from the ground and isomeric states of the nuclei with 67 ≤ Z ≤ 106

Abstract

The Modified Generalised Liquid Drop Model (MGLDM) is employed to analyze both the favored and unfavored α-decays in the ground states (g.s.) and isomeric states (i.s.) of some nuclei having proton numbers, 67 ≤ Z ≤ 106. The calculated half-lives closely match the experimental results, with a least standard deviation, 0.3598, which shows that the g.s. model ‘MGLDM’ can effectively be applied to the isomeric state decay. Royer's formula and Qian’s formula are employed in our calculations to determine the half-lives and the reported half-lives of the Two Potential Approach (TPA) and the GLDM are included, to compare the half-lives reproduced by MGLDM. The straight-line behavior of New Geiger-Nuttall (New G-N) plots for various isotopes for different kinds of transitions (g.s.→g.s., g.s.→i.s., i.s.→g.s., i.s.→i.s.) shows the New G-N law can be applied successfully in the isomeric state α-decays also.