Tensor correlation in 4He with the tensor-optimized shell model

Abstract

We study the characteristics of the tensor correlation in ${}^4$He using a shell model type method. We treat the tensor force explicitly by performing a configuration-mixing calculation in the $2p2h$ basis and include single-particle states up to intermediately high angular momenta. We adopt the Gaussian expansion method for the quantitative description of the spatial shrinkage of the single-particle states to optimize the tensor correlation. We are able to describe the full strength of the tensor correlation for ${}^4$He in the shell model type method by realizing convergence. We call this model the tensor-optimized shell model. It is found that in ${}^4$He, three specific $2p2h$ configurations are strongly coupled with the $(0s{)}^4$ configuration due to the characteristic features of the tensor operator.

18 pages, 8 figures, Changed content, To be Published in Prog. Theor. Phys. 117(2007)

References in corpus (1)

• Two-Body Correlations in Nuclear Systems

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