Effect of Tensor Correlations on Single-particle and Collective States

H. Sagawa

Effect of Tensor Correlations on Single-particle and Collective States

Nuclear Theory 2009-10-29 v1

Authors: H. Sagawa

Abstract

We study the effect of tensor correlations on single-particle and collective states within Skyrme Hartree-Fock and RPA model. Firstly, We study the role of tensor interactions in Skyrme effective interaction on the spin-orbit splittings of N=82 isotones and Z=50 isotope. The isospin dependence of the shell structure is well described as the results of the tensor interactions without destroying good properties of the binding energy and the rms charge radii of the heavy nuclei. Secondly, We performed self-consistent HF+RPA calculations for charge exchange 1 $^+$ states in $^{90}$ Zr and $^{208}$ Pb to elucidate the role of tensor interactions on spin dependent excitations. It is pointed out that Gamow-Teller(GT) states can couple strongly with the spin-quadrupole (SQ) 1 $^+$ states in the high energy region above E $_x$ =30 MeV due to the tensor interactions. As the result of this coupling, more than 10% of the GT strength is shifted to the energy region above 30 MeV, and the main GT peak is moved 2 MeV downward.

Keywords

tensor correlations Skyrme Hartree-Fock RPA spin-orbit splitting Gamow-Teller states spin-quadrupole states

Cite

@article{arxiv.0910.5277,
  title  = {Effect of Tensor Correlations on Single-particle and Collective States},
  author = {H. Sagawa},
  journal= {arXiv preprint arXiv:0910.5277},
  year   = {2009}
}

Comments

12pages, 5figures, proceedings of international conference on NSRT (Nuclear Structure and related topics), June 2009, Dubna, Russia

Effect of Tensor Correlations on Single-particle and Collective States

Abstract

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