Folding model potentials from realistic interactions for heavy-ion scattering

The monopole effect of the tensor force is presented, exhibiting how spherical single-particle energies are shifted as protons or neutrons occupy certain orbits. An analytic relation for such shifts is shown, and their general features are explained intuitively. Single-particle levels are shown to change in a systematic and robust way, by using the $\ensuremath{\pi}+\ensuremath{\rho}$ meson exchange tensor potential, consistently with the chiral perturbation idea. Several examples are compared with experiments.

/pdf/evolution-of-nuclear-shells-due-to-the-tensor-force-cf8l7ot825.pdf

Evolution of nuclear shells due to the tensor force.

Energy levels of A = 21−44 nuclei (V)

Fusion and breakup of weakly bound nuclei

Shell-model interactions are constructed in the cross-shell model space connecting the 0p and 1s0d shells with due regard for the perturbative effects of the neighboring 0s and 0f1p shells. The interactions have three distinctive 0p-shell, cross-shell, and 1s0d-shell parts. The latter is taken to be the previously determined W interaction. The 0p-shell interaction is represented by two-body matrix elements and the cross-shell by either a potential or by two-body matrix elements. The interactions are determined by least-squares fits to 51 0p-shell and 165 cross-shell binding energies. It is found that the addition of monopole terms to a potential that is otherwise similar to that of the Millener-Kurath interaction results in a great improvement in the fit. In the fit to two-body matrix elements, 45 of 97 possible linear combinations of parameters are varied and the root-mean-square deviation for the 165 cross-shell energies is 330 keV. Examples of the application of the interactions are given for the prediction of neutron-rich binding energies, Gamow-Teller decays, and 0\ensuremath{\Elzxh}\ensuremath{\omega}, 1\ensuremath{\Elzxh}\ensuremath{\omega}, and 2\ensuremath{\Elzxh}\ensuremath{\omega} energy spectra.

https://people.nscl.msu.edu/~brown/brown-all-papers/147-1992-PhysRevC.46.923.pdf

Effective interactions for the 0 p 1 s 0 d nuclear shell-model space

Interactions for inelastic scattering derived from realistic potentials

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Interactions for inelastic scattering derived from realistic potentials