Systematic study of proton emission half-lives within the two-potential approach with Skyrme-Hartree-Fock

In this work we systematically study the proton emission half-lives of 53≤Z≤83 nuclei within the two-potential approach with Skyrme-Hartree-Fock. At first, we use this model to study the proton emission half-lives of 32 spherical nuclei. The total proton-daughter nuclei interaction potential includes: the microscopic nuclear potential calculated by the spherical Hartree-Fock self-consistent equation with the Skyrme effective interaction of SLy4, SkC and SkD, the Coulomb potential obtained under the assumption of a uniformly charged sphere and the Langer modified centrifugal potential. The calculations can reproduce the experimental data well. And then, we extend this model to the deformed cases and compare it with other models. Meanwhile, we discuss the relationship between the theoretical half-lives of parent nuclei 113Cs, 117La, 121Pr, 135Tb and 141Ho and corresponding l values taken away by emitted proton. A set of these parent nuclei reference values of l are given to calculate the theoretical half-lives which are more in line with experimental data. At last, we use this model to predict proton emission half-lives of 13 nuclei in the same region, whose proton emission is energetically allowed or observed but not yet quantified in NUBASE2016.