# Tensor interaction contributions to single-particle energies

## Abstract

We calculate the contribution of the nucleon-nucleon tensor interaction to single-particle energies with finite-range G-matrix potentials and with zero-range Skyrme potentials. The Skx Skyrme parameters including the zero-range tensor terms with strengths calibrated to the finite-range results are refitted to nuclear properties. The fit allows the zero-range proton-neutron tensor interaction as calibrated to the finite-range potential results which gives the observed change in the single-particle gap {epsilon}(h{sub 11/2})-{epsilon}(g{sub 7/2}) going from {sup 114}Sn to {sup 132}Sn. However, the experimental l dependence of the spin-orbit splittings in {sup 132}Sn and {sup 208}Pb is not well described when the tensor is added, owing to a change in the radial dependence of the total spin-orbit potential. The gap shift and a good fit to the l dependence can be recovered when the like-particle tensor interaction is opposite in sign to that required for the G matrix.

- Authors:

- Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824-1321 (United States)
- (Japan) and RIKEN, Hirosawa, Wako-shi, Saitama 351-0198 (Japan)
- Department of Physics, University of Tokyo, Hongo, Tokyo 113-0033 (Japan)
- Department of Physics, Nihon University, Sajurajosui, Setagay-ku, Tokyo 156-8550 (Japan)

- Publication Date:

- OSTI Identifier:
- 20864179

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 74; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevC.74.061303; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; G MATRIX; L-S COUPLING; LEAD 208; NEUTRONS; NUCLEAR PROPERTIES; NUCLEON-NUCLEON INTERACTIONS; PROTONS; SINGLE-PARTICLE MODEL; SKYRME POTENTIAL; TENSORS; TIN 114; TIN 132

### Citation Formats

```
Brown, B. A., Duguet, T., Otsuka, T., Department of Physics and Center for Nuclear Study, University of Tokyo, Hongo, Tokyo 113-0033, Abe, D., and Suzuki, T.
```*Tensor interaction contributions to single-particle energies*. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVC.74.061303.

```
Brown, B. A., Duguet, T., Otsuka, T., Department of Physics and Center for Nuclear Study, University of Tokyo, Hongo, Tokyo 113-0033, Abe, D., & Suzuki, T.
```*Tensor interaction contributions to single-particle energies*. United States. doi:10.1103/PHYSREVC.74.061303.

```
Brown, B. A., Duguet, T., Otsuka, T., Department of Physics and Center for Nuclear Study, University of Tokyo, Hongo, Tokyo 113-0033, Abe, D., and Suzuki, T. Fri .
"Tensor interaction contributions to single-particle energies". United States.
doi:10.1103/PHYSREVC.74.061303.
```

```
@article{osti_20864179,
```

title = {Tensor interaction contributions to single-particle energies},

author = {Brown, B. A. and Duguet, T. and Otsuka, T. and Department of Physics and Center for Nuclear Study, University of Tokyo, Hongo, Tokyo 113-0033 and Abe, D. and Suzuki, T.},

abstractNote = {We calculate the contribution of the nucleon-nucleon tensor interaction to single-particle energies with finite-range G-matrix potentials and with zero-range Skyrme potentials. The Skx Skyrme parameters including the zero-range tensor terms with strengths calibrated to the finite-range results are refitted to nuclear properties. The fit allows the zero-range proton-neutron tensor interaction as calibrated to the finite-range potential results which gives the observed change in the single-particle gap {epsilon}(h{sub 11/2})-{epsilon}(g{sub 7/2}) going from {sup 114}Sn to {sup 132}Sn. However, the experimental l dependence of the spin-orbit splittings in {sup 132}Sn and {sup 208}Pb is not well described when the tensor is added, owing to a change in the radial dependence of the total spin-orbit potential. The gap shift and a good fit to the l dependence can be recovered when the like-particle tensor interaction is opposite in sign to that required for the G matrix.},

doi = {10.1103/PHYSREVC.74.061303},

journal = {Physical Review. C, Nuclear Physics},

number = 6,

volume = 74,

place = {United States},

year = {Fri Dec 15 00:00:00 EST 2006},

month = {Fri Dec 15 00:00:00 EST 2006}

}