Shell-model study on properties of proton dripline nuclides with $Z, N$ = 30-50 including uncertainty analysis

Abstract

Abstract The binding energies and proton separation energies of nuclides with $Z, N = 30-50$ \textcolor{blue}{are investigated,} based on the shell model with an uncertainty analysis through statistical methods. Several formulas are used to obtain the binding energies and proton separation energies according to the shell-model calculations. The non-parametric Bootstrap method is applied to establish an uncertainty decomposition and recomposition framework. Moreover, it \textcolor{blue}{is used to estimate the stability of proton(s) emission} for each nuclide. Two formulas for calculating the binding energies with a systematic uncertainty of $\sim0.3$ MeV are proposed, and a reliable extrapolation ability is examined. These binding energy formulas deduce similar forms of respective $S_{p}$ and $S_{2p}$ energies, which predict the extension of the nuclear boundary of this region. A nice description of the binding energies and proton separation energies is provided. \textcolor{blue}{The one- and two-proton separation energies and partial half-lives of proton emitting are predicted, thus showing a new dripline.} Besides, there are 30 unstable nuclides predicted to be bound against proton(s)-emission. These nuclear properties will be useful in nuclear astrophysics.