Systematic study of proton radioactivity based on Gamow--like model with a screened electrostatic barrier

Abstract

In the present work we systematically study the half--lives of proton radioactivity for $51\le Z\le 83$ nuclei based on the Gamow--like model with a screened electrostatic barrier. In this model there are two parameters while considering the screened electrostatic effect of Coulomb potential with the Hulthen potential i.e. the effective nuclear radius parameter r_0 and the screening parameter a. The calculated results can well reproduce the experimental data. In addition, we extend this model to predict the proton radioactivity half--lives of 16 nuclei in the same region within a factor of 2.94, whose proton radioactivity are energetically allowed or observed but not yet quantified. Meanwhile, studying on the proton radioactivity half-life by a type of universal decay law has been done. The results indicate that the calculated half--lives are linearly dependent on Coulomb parameter with the same orbital angular momentum.

arXiv comment12 pages, 5 figures, accepted by Journal of Physics G: Nuclear and Particle Physics

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Cited by in corpus (8)

• New Geiger-Nuttall law for proton radioactivity
• Systematic study of two-proton radioactivity half-lives based on a modified Gamow-like model
• Systematic study of proton radioactivity of spherical proton emitters with Skyrme interactions
• Impact of Nuclear Deformation of Parent and Daughter Nuclei on One Proton Radioactivity Lifetimes
• Systematic study of proton radioactivity half-lives based on the relationship between the Skyrme-Hartree-Fock and the macroscopic quantities of nuclear matter
• Centrifugal-corrected harmonic oscillator model for spherical proton emitters
• Systematic study on proton radioactivity of spherical proton emitters within two--potential approach
• Systematic study of two-proton radioactivity with a screened electrostatic barrier