Phenomenological model for favored proton radioactivity

In the present work, based on the Wentzel-Kramers-Brillouin (WKB) approximation and Bohr-Sommerfeld quantization condition, we extend a phenomenological modified harmonic oscillator potential model proposed by Bayrak [J. Phys. G 47: 025102, 2020] to systematically investigate the favored proton radioactivity by considering the spectroscopic factors Sp from the relativistic mean-field (RMF) theory and the BCS method. Calculations show good agreement with experimental data , within a factor of 2.7. Furthermore, employing this model, we predict the proton radioactivity half-lives of potential candidates that are energetically allowed or observed but not yet quantified in the latest atomic mass excess NUBASE2020. For comparison, the one-parameter model (OPM) [Commun. Theor. Phys. 74: 115302, 2022] and the universal decay law (UDLP) [Phys. Rev. C 85: 011303, 2012] are also employed. All the corresponding predictions are consistent with each other. In addition, the reliability of our predictions are further confirmed by comparing the simple formula proposed by Delion et al. [Phys. Rev.Lett. 96: 072501, 2006] and the new Geiger-Nuttall law put forward by Chen et al. [Eur. Phys.J. A 55: 214, 2019].