Systematic study on proton radioactivity of spherical proton emitters within two--potential approach

Abstract

In the present work we systematically study the half--lives of proton radioactivity for spherical proton emitters with $Z\ge 69$ based on two--potential approach. While the nuclear potential of the emitted proton--daughter nucleus is adopted by a parameterized cosh type, the parameters of the depth and diffuseness for nuclear potential are determined by fitting experimental data of 32 spherical proton emitters. In order to reduce the deviations between experimental half-lives and calculated ones, we propose a simple analytic expression for formation probability of proton radioactivity with the same orbital angular momentum $l$. The results indicate that the formation probability can be simply described by a formula of $A_d^{1/3}$. Moreover, the linear relationship between the formation probability and the fragmentation potential also exists. The calculated half-lives can well reproduce the experimental data.

arXiv comment9 pages,6 figures

References in corpus (15)

• Alpha-nucleus potential for alpha-decay and sub-barrier fusion
• Critical view of WKB decay widths
• Recent developments in radioactive charged-particle emissions and related phenomena
• Universal decay rule for reduced widths
• Proton radioactivity within a generalized liquid drop model
• Effects of formation properties in one-proton radioactivity
• Folding model analysis of proton radioactivity of spherical proton emitters
• Systematic study of $\alpha$ decay half-lives for even-even nuclei within a two-potential approach
• Microscopic calculation of half lives of spherical proton emitters
• Systematic study of $\alpha$ decay for isomer related nuclei within a two-potential approach
• Systematic study of favored α-decay half-lives of closed shell odd-A and doubly-odd nuclei related to ground and isomeric states
• Proton radioactivity described by covariant density functional theory with Similarity Renormalization Group method
• Systematic study of proton radioactivity based on Gamow--like model with a screened electrostatic barrier
• Proton emission with a screened electrostatic barrier
• The single-particle unit for alpha decay