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

摘要

We propose a mean-field framework in which the charge and parity symmetries of a single-particle state in a nuclear mean field are broken. We break these symmetries to incorporate the correlation induced by the tensor force into the nuclear mean field. We perform the charge and parity projections before variation and obtain a Hartree-Fock-like equation (charge- and parity-projected Hartree-Fock 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 mean field framework. We emphasize that the projection before the variation is important to pick up the tensor correlation in a mean-field framework.