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Recent years, there are several researches [1-3] studying on the effect of nuclear tensor force in nuclear structure. Few attempts [4-6] have been made to fit the phenomenological Skyrme parameterization with the inclusion of the nuclear tensor term. However, a complete and systematic work to examine the role of nuclear tensor force in the rare-earth region is still lacking. This work aims to examine the effect of nuclear tensor force in the ground-state properties of rare-earth even-even nuclei. This is done within a Skyrme-Hartree-Fock-plus-Bardeen-Cooper-Schrieffer (HF+BCS) framework. The pairing correlations are taken care with the BCS theory. The Skyrme interaction is used to approximate the nucleon-nucleon interaction with various sets of parameterizations. At the moment, this work only considered the parameterization fitted through the perturbative addition of nuclear tensor term. The parameterization considered herein are divided into two sets namely, Set A (SIII and SIII+T) and Set B (SLy5 and SLy5+T) to examine the effect of nuclear tensor force on the ground-state properties. The considered ground-state properties here are binding energy, two-nucleon separation energy, nuclear charge radii and intrinsic charge quadrupole moments. The inclusion of nuclear tensor force has a better agreement with the experimental data but not for all cases. The good agreement between calculated and experimental data are sometimes degraded when taking into account nuclear tensor force. However, the results from this work is still preliminary as one should employ a full refit of all Skyrme parameters such as the TIJ sets [5].
References:
1. Shen, S., Liang, H., Meng, J., Ring, P. and Zhang, S. Effects of tensor forces in nuclear spin-orbit splittings from ab initio calculations. Physics Letter B, 2018. 778: 344–348
2. Bernard, R. N. and Anguiano, M. Interplay between tensor force and deformation in even-even nuclei. Nuclear Physics A, 2016. 953: 32–64
3. Grasso, M. and Anguiano, M. Tensor parameters in Skyrme and Gogny effective interactions: Trends from a ground-state-focused study. Physical Review C, 2013. 88: 054328.
4. Colo, G., Sagawa, H., Fracasso, S. and Bortignon, P. F. Spin-orbit splitting and the tensor component of the Skyrme interaction. Physics Letters B, 2007. 646:227–231.
5. Lesinski, T., Bender, M., Bennaceur, K., Duguet, T. and Meyer, J. Tensor part of the Skyrme energy density functional: Spherical nuclei. Physical Review C, 2007. 76: 014312.
6. Stancu, F., Brink, D. M. and Flocard, H. The Tensor Part of Skyrme’s Interaction. Physics Letters B, 1977. 68(2): 108–112.
| Field of your work | Theoretical nuclear physics |
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