English

Charge- and parity-projected Hartree-Fock method for the strong tensor correlation and its application to the alpha particle

Nuclear Theory 2009-11-10 v2

Abstract

We propose a new mean-field-type framework which can treat the strong correlation induced by the tensor force. To treat the tensor correlation we break the charge and parity symmetries of a single-particle state and restore these symmetries of the total system by the projection method. We perform the charge and parity projections before variation and obtain a Hartree-Fock-like equation, which is solved self-consistently. We apply the Hartree-Fock-like equation to the alpha particle and find that by breaking the parity and charge symmetries, the correlation induced by the tensor force is obtained in the projected mean-field framework. We emphasize that the projection before the variation is important to pick up the tensor correlation in the present framework.

Keywords

Cite

@article{arxiv.nucl-th/0402076,
  title  = {Charge- and parity-projected Hartree-Fock method for the strong tensor correlation and its application to the alpha particle},
  author = {Satoru Sugimoto and Kiyomi Ikeda and Hiroshi Toki},
  journal= {arXiv preprint arXiv:nucl-th/0402076},
  year   = {2009}
}

Comments

21 pages, 2 figures