Description and prediction of nuclear masses for ${\boldsymbol~A}\geqslant$100 based on residual proton-neutron interactions

Abstract

The residual proton-neutron interactions between the last proton and the last neutron ($\delta~V_{\rm~1p-1n}$) are very useful in calculating local mass relations and nucleon-pair correlations.In this paper, after choosing a nuclei, we made an analysis of its neighboring nuclei on the upper left corner and the lower right corner respectively.Based on the two residual proton-neutron interactions empirical formulas of even-A (A is the mass number) nuclei and odd-A nuclei, we obtain a new residual proton-neutron interactions empirical formula exhibited in residual proton-neutron interactions of odd-A nuclei and even-A nuclei.We then calculated the nuclear masses for mass number A$\geqslant$100. The differences between our calculated values and databases show that the RMSDs are small (for $A\geqslant$ 100: the root-mean-squared deviation (RMSD) between our calculated values and the AME2012 databases $\approx$138.4 keV; the RMSD between our calculated values and the AME2016 databases $\approx$ 141 keV).With the $\delta~V_{\rm~1p-1n}$ formula and the known masses (AME2012), we have successfully predicted some unknown masses.We note that our predicted masses are close to those values in the AME2012 and AME2016 databases.In addition, some of our predicted values have good accuracy and compared well with experimental values (AME2016).The result demonstrates that the accuracy of our predicted values for medium and heavy nuclei is comparable to those of the AME2012 extrapolations.