Spectroscopic factors for alpha decay in the $N_pN_n$ scheme

TL;DR

This paper calculates alpha decay lifetimes in certain nuclei using a superasymmetric fission model with densities from Relativistic Mean Field theory, revealing smooth variations in spectroscopic factors related to valence nucleons.

Contribution

It introduces a method combining double folding interaction and Relativistic Mean Field densities to analyze alpha decay spectroscopic factors across a range of nuclei.

Findings

Spectroscopic factors vary smoothly with valence nucleons.

The model accurately reproduces experimental decay lifetimes.

Smooth behavior of spectroscopic factors suggests underlying nuclear structure patterns.

Abstract

Lifetime values for alpha decay in even-even nuclei with $Z=84-98$ and $N=128-152$ have been calculated in the superasymmetric fission model. The interaction between the alpha particle and the daughter nucleus has been formed in the double folding approach using a density dependent NN interaction. The densities have been obtained using the Relativistic Mean Field formalism. The spectroscopic factors for the decays have been deduced and are shown to vary smoothly as a function of effective numbers of valence nucleons, $N_p$ and $N_n$ chosen with a suitable core. The implication of such a smooth behaviour has been discussed.