Lawson method for obtaining wave functions and g factors of Ar isotopes

Lawson has shown that one can obtain sensible wave functions even in the weak deformation limit of the Nilsson model as long as one projects out states of good total angular momentum. We apply this method to obtain wave functions and magnetic [Formula: see text] factors of excited states of select even–even Ar isotopes with emphasis on the comparison of [Formula: see text]Ar and [Formula: see text]Ar. These [Formula: see text] factors are compared with the values that are obtained by matrix diagonalization in the same space using the WBT residual interaction.

Description and prediction of even-A nuclear masses based on residual proton–neutron interactions

The odd–even staggering of neighboring nuclear masses is very useful in calculating local mass relations and nucleon-pair correlations. During the past decades, there has been an increasing interest in the odd–even features of the mass relations and related quantities exhibited in masses of neighboring nuclei. In this work, after choosing a nucleus, we made an analysis of its neighboring nuclei on the upper left corner and the lower right corner, respectively. We empirically obtained a new residual interaction formula of even-A (A is the mass number) nuclei, and it is a revision based on the existing empirical local formula of the proton–neutron interactions between the last proton and the last neutron [Formula: see text]. We then calculated the even-A nuclear masses. The differences between our calculated values and the AME2012 database show that the root-mean-squared deviations (RMSD) are small (for even-A nuclei: A[Formula: see text]42, RMSD[Formula: see text]161 keV; A[Formula: see text]100, RMSD[Formula: see text]125 keV), while for heavy nuclei, some of our calculated values can reach an accuracy of a few tens of keV. With our residual interaction formula including one parameter, we have successfully predicted some unknown masses. Some of our predicted values are compared well with the experimental values (AME2016). In addition, the accuracy and simplicity of our predicted masses for medium and heavy nuclei are comparable to those of the AME2012 (AME2016) extrapolations.

Ground state of nuclei in the Barium region within the Highly Truncated Diagonalization Approach

The ground state of some Barium isotopes has been investigated in the framework of the parity-symmetry projection of the Highly Truncated Diagonalization Approach (HTDA), which is suited to treat the correlations in an explicitly particle-number conserving microscopic approach. A Skyrme energy -density functional using the SkM∗ interactions has been considered to treat the particle-hole channel, whereas a density-independent δ force has been adopted for the residual interaction. The obtained results are compared with the previous calculations using the Woods-Saxon potentials

Ground state of nuclei in the Barium region within the Highly Truncated Diagonalization Approach

The ground state of some Barium isotopes has been investigated in the framework of the parity-symmetry projection of the Highly Truncated Diagonalization Approach (HTDA), which is suited to treat the correlations in an explicitly particle-number conserving microscopic approach. A Skyrme energy -density functional using the SkM∗ interactions has been considered to treat the particle-hole channel, whereas a density-independent δ force has been adopted for the residual interaction. The obtained results are compared with the previous calculations using the Woods-Saxon potentials