Proton radioactivity described by covariant density functional theory with Similarity Renormalization Group method

TL;DR

This paper uses covariant density functional theory combined with the similarity renormalization group method to accurately calculate proton radioactivity half-lives and extract potential barriers and structural information of proton emitters.

Contribution

It introduces a novel approach integrating SRG with CDF theory to automatically derive spin-orbit and other potentials for proton radioactivity analysis.

Findings

Calculated half-lives agree well with experimental data

Potential barriers are successfully extracted using SRG

Method confirms the validity of CDF in describing proton-rich nuclei

Abstract

Half-life of proton radioactivity of spherical proton emitters is studied within the scheme of covariant density functional (CDF) theory, and for the first time the potential barrier that prevents the emitted proton is extracted with the similarity renormalization group (SRG) method, in which the spin-orbit potential along with the others that turn out to be non-negligible can be derived automatically. The spectroscopic factor that is significant is also extracted from the CDF calculations. The estimated half-lives are found in good agreement with the experimental values, which not only confirms the validity of the CDF theory in describing the proton-rich nuclei, but also indicates the prediction power of present approach to calculate the half-lives and in turn to extract the structural information of proton emitters.