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

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.

21 pages, 2 figures

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• Benchmark Test Calculation of a Four-Nucleon Bound State
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• Beyond mean-field description of the low-lying spectrum of 16O
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• Effect of the tensor force in the exchange channel on the spin-orbit splitting in 23F in the Hartree-Fock framework
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• Long Range Tensor Correlations in Charge and Parity Projected Fermionic Molecular Dynamics
• Study of the effect of the tensor correlation on the alpha clustering in 8Be with the charge- and parity-projected Hartree-Fock method