Shell-model study on properties of proton dripline nuclides with Z, N = 30–50 including uncertainty analysis * *Supported by the National Natural Science Foundation of China (11775316, 11825504, 11961141004), the Tip-top Scientific and Technical Innovative Youth Talents of Guangdong special support program (2016TQ03N575), the Guangdong Major Project of Basic and Applied Basic Research (2021B0301030006)

Abstract

The binding and proton separation energies of nuclides with are investigated based on the shell model, with an uncertainty analysis via statistical methods. Several formulas are used to obtain the binding and proton separation energies according to shell-model calculations. The non-parametric bootstrap method is applied to establish an uncertainty decomposition and recomposition framework. Moreover, this 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 MeV are proposed, and a reliable extrapolation ability is examined. These binding energy formulas deduce similar forms for their respective and energies, which predict the extension of the nuclear boundary of this region. A good description of the binding and proton separation energies is provided. The one- and two-proton separation energies and partial half-lives of proton emission are predicted, thus revealing a new dripline. Furthermore, there are 30 unstable nuclides predicted to be bound against proton(s)-emission. These nuclear properties will be useful in nuclear astrophysics.