α decay half-lives of nuclei W, Re, Os, Ir and Pt in the range 157≤A≤193 using the modified generalised liquid drop model (MGLDM)

Abstract

The α-decay half-lives for the isotopes of nuclei W, Re, Os, Ir and Pt in the range 157≤A≤193, have been studied by using the Modified Generalised Liquid Drop Model (MGLDM). The half-lives predicted for some even-even nuclei by using the deformed Two Potential Approach (TPA) [Comm. Theo. Phys. 74, 055301 (2022)] are considered and included for the comparison. Additionally, we have analysed the α-decay half-lives using seven ℓ-dependent empirical formulae, and compared the results with the experimental data. The standard deviation and the average deviation for log10T1/2 by using MGLDM is obtained as 0.6025 and 0.5403, respectively. Also, the results of MGLDM match well with predictions of TPA, with standard deviation of 0.47 and 0.44 respectively. A dip in the half-life curve or a peak in the decay energy curve at 82, a magic neutron number of the daughter nuclei of W74158 increases the viability of the calculations. Also, the linear nature of Geiger-Nuttall law, Universal law, the relation connecting log10T1/2 and ZQα-1/2, and the New Geiger-Nuttall law helps to calculate the half-lives of newly synthesized and unknown isotopes, making MGLDM more reliable.

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

“…It is worth mentioning that the New Geiger-Nuttall (New G-N) plot was initially proposed by Chen et al [61] for one proton radioactivity and, was subsequently adapted by Liu et al [62] to accommodate two proton radioactivity. Recently we [51,52] have employed the New G-N plot in ground state α-radioactivity for the first time. And, now the linearity of the New G-N plot shows how effectively it can be applied in i.s.…”

“…The works using MGLDM [46][47][48][49][50] could well explain the cluster decay, α-decay, and 2α-decay in heavy and superheavy regions. Modified Generalized Liquid Drop Model (MGLDM) was proposed to study the ground state decays of the nuclei in the superheavy region [46], and later it was applied in the ground states of the heavy region [51,52] also and successfully regenerated the experimental results. Here we are applying the MGLDM in the isomeric states for the first time.…”