Theoretical calculations of proton emission half-lives based on a deformed Gamow-like model*

Abstract

In the present study, proton emission half-lives have been investigated for the deformed proton emitters of proton number range $53\leq Z \leq 83$ within the deformed Gamow-like model, where the deformation effect has been included in the Coulomb potential. The calculated results can reproduce the experimental half-lives successfully within a factor of 3.45. For comparison, we also perform calculations with other different models, including the universal decay law for proton emission and the new Geiger-Nuttall law. Furthermore, the relevance of the half-lives to the angular momentum $l$ for $^{117}$La, $^{121}$Pr, $^{135}$Tb and $^{141}$Ho has been analysed as well as corresponding possible reference values of $l$ has been put forward: $l=$3, 3, 4, 4.