vix.ing · top · new · best · stats

Analytic formula for the proton radioactivity spectroscopic factor

2024/03/07 by Dong-Meng Zhang, Lin-Jing Qi, Zhang, Dong-Meng +11
Engineering · Physics and Astronomy · #Atomic and Molecular Physics #FOS: Physical sciences #Nuclear Theory (nucl-th) #Particle Accelerators and Free-Electron Lasers #Particle accelerators and beam dynamics

paper · pdf · doi:10.48550/arxiv.2403.04249

openalex publication_date 2024/03/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

In the present work, we systematically study the spectroscopic factor of proton radioactivity (Sp) with A>100 using the deformed two-potential approach (D-TPA). It is found that there is a link between the quadrupole deformation parameter of proton emitter and Sp. Based on this result, we propose a simple analytic formula for estimating the spectroscopic factor of proton radioactivity. With the help of this formula, the calculated half-lives of proton radioactivity can reproduce the experimental data successfully within a factor of 2.77. Furthermore, we extend the D-TPA with this formula for evaluating the spectroscopic factor to predict the proton radioactivity half-lives of 12 proton radioactivity candidates whose radioactivity is energetically allowed or observed but not yet quantified in NUBASE2020. For comparison, the universal decay law for proton radioactivity (UDLP) and the new Geiger-Nuttall law (NG-N) are also used. It turns out that all of the predicted results are basically consistent with each other.

Related