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arXiv · 1210.5333

Tensor and tensor-isospin terms in the effective Gogny interaction

Marta Anguiano·Marcella Grasso·Giampaolo Co'·Viviana De Donno·Antonio M. Lallena
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Abstract

We discuss the need of including tensor terms in the effective Gogny interaction used in mean-field calculations. We show in one illustrative case that, with the usual tensor term that is employed in the Skyrme interaction (and that allows us to separate the like-nucleon and the neutron-proton tensor contributions), we can describe the evolution of the N=28 neutron gap in calcium isotopes. We propose to include a tensor and a tensor-isospin term in finite-range interactions of Gogny type. The parameters of the two tensor terms allow us to treat separately the like-nucleon and the neutron-proton contributions. Two parameterizations of the tensor terms have been chosen to reproduce different neutron single-particle properties in the 48Ca nucleus and the energy of the first 0- state in the 16O nucleus. By employing these two parameterizations we analyze the evolution of the N=14, 28, and 90 neutron energy gaps in oxygen, calcium and tin isotopes, respectively. We show that the combination of the parameters governing the like-nucleon contribution is crucial to correctly reproduce the experimental (where available) or shell-model trends for the evolution of the three neutron gaps under study.

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Marta Anguiano, Marcella Grasso, Giampaolo Co', Viviana De Donno, Antonio M. Lallena. 2012-10-19. Tensor and tensor-isospin terms in the effective Gogny interaction. https://doi.org/10.1103/physrevc.86.054302

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