Nuclear Half-Lives for Alpha Radioactivity of Elements with 100 $\leq$ Z $\leq$ 130

TL;DR

This paper provides theoretical estimates for alpha decay half-lives of approximately 1700 heavy isotopes with atomic numbers 100 to 130, using a microscopic quantum tunneling model based on nuclear potentials and various mass estimates.

Contribution

It introduces a detailed microscopic formalism for calculating alpha decay half-lives using DDM3Y potentials and compares results across different nuclear mass models.

Findings

Good agreement with experimental data over twenty orders of magnitude

Half-life estimates vary depending on the mass model used

The formalism effectively predicts alpha decay half-lives for superheavy elements

Abstract

Theoretical estimates for the half lives of about 1700 isotopes of heavy elements with Z from 100 to 130 are tabulated using theoretical Q-values. The quantum mechanical tunneling probabilities are calculated within a WKB framework using microscopic nuclear potentials. The microscopic nucleus-nucleus potentials are obtained by folding the densities of interacting nuclei with a density dependent M3Y (DDM3Y) effective nucleon-nucleon interaction. The alpha-decay half lives calculated in this formalism using the experimental Q-values were found to be in good agreement over a wide range of experimental data spanning about twenty orders of magnitude. The theoretical Q-values used for the present calculations are extracted from three different mass estimates viz. Myers-Swiatecki [MS], Muntian-Hofmann-Patyk-Sobiczewski [M] and Koura-Tachibana-Uno-Yamada [KUTY].