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

In the present study, proton emission half-lives have been investigated for the deformed proton emitters with 53≤ Z ≤ 83 in the deformed Gamow-like model, where the deformation effect has been included in the Coulomb potential. The experimental half-lives of proton emitters can be reproduced within a factor of 3.45. For comparison, other results from the universal decay law and the new Geiger-Nuttall law are presented as well. Furthermore, the relevance of the half-lives to the angular momentum l for ¹¹⁷La, ¹²¹Pr, ¹³⁵Tb and ¹⁴¹Ho has been analyzed, and corresponding possible values of l has been put forward: $l=$3, 3, 4, 4.