Study of the effect of the tensor correlation in oxygen isotopes with the charge- and parity-projected Hartree-Fock method

Journal Article · Mon Jan 15 04:00:00 EST 2007 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.75.014317· OSTI ID:20990956

Sugimoto, Satoru; Ikeda, Kiyomi; Toki, Hiroshi ^[1]

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1. Kyoto University, Kitashirakawa, Kyoto 606-8502 (Japan)

Recently, we developed a mean-field-type framework that treats the correlation induced by the tensor force. We treat the tensor correlation by introducing intrinsic single-particle states with parity and charge mixing. We make a total wave function with definite charge number and good parity by performing the charge number and parity projections. Taking a variation of the total energy calculated with the projected wave function, we obtain a Hartree-Fock-like equation (charge- and parity-projected Hartree-Fock equation). We extend further the charge- and parity-projected Hartree-Fock method to include a three-body force, which is important to reproduce the saturation property of nuclei in a mean-field framework. We apply the charge- and parity-projected Hartree-Fock method to sub-closed-shell oxygen isotopes ({sup 14}O, {sup 16}O, {sup 22}O, {sup 24}O, and {sup 28}O) to study the effect of the tensor correlation and its dependence on neutron number. We obtain reasonable binding energies and matter radii for these nuclei. It is found that relatively large energy gains come from the tensor force in these isotopes and further the blocking effect on the tensor correlation arises due to additional neutrons.

• OSTI ID: 20990956
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 1 Vol. 75; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BINDING ENERGY
CORRELATIONS
EQUATIONS
HARTREE-FOCK METHOD
MEAN-FIELD THEORY
NEUTRONS
OXYGEN 14
OXYGEN 16
OXYGEN 22
OXYGEN 24
OXYGEN 28
PARITY
TENSOR FORCES
TENSORS
THREE-BODY PROBLEM
WAVE FUNCTIONS