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

Abstract

We aim to investigate the binding energies and proton separation energies of nuclides with Z, N = 30 − 50 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 estimates the proton stability that is integrated from the distribution of the proton separation energies of each nuclide. Two formulas for calculating the binding energies with a systematic uncertainty of ∼ 0.3 MeV are proposed, and a reliable extrapolation ability is examined. These binding energy formulas deduce similar forms of respective Sp and S2p 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. The unknown proton dripline properties are also predicted, including one-and two-proton separation energies and half-lives of proton emitting, which shows 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.