Study of the tensor correlation in a neutron-rich sd-shell region with the charge- and parity-projected Hartree-Fock method

Journal Article · Mon May 12 04:00:00 EDT 2008 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.2939312· OSTI ID:21143362

Sugimoto, Satoru ^[1]; Toki, Hiroshi ^[2]; Ikeda, Kiyomi ^[3]

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1. Kyoto University, Kyoto 606-8502 (Japan)
2. Research Center for Nuclear Physics (RCNP), Osaka University, Osaka 567-0047 (Japan)
3. The Institute of Physical and Chemical Research (RIKEN), Saitama 351-0198 (Japan)

We study the effect of the tensor force on nuclear structure with mean-field and beyond-mean-field methods. An important correlation induced by the tensor force is two-particle-two-hole (2p2h) correlation, which cannot be treated with a usual mean-filed method. To treat the 2p2h tensor correlation, we develop a new framework (charge- and parity-projected Hartree-Fock (CPPHF) method), which is a beyond-mean-field method. In the CPPHF method, we introduce single-particle states with parity and charge mixing. The parity and charge projections are performed on a total wave function before variation. We apply the CPPHF method to oxygen isotopes including neutron-rich ones. The potential energy from the tensor force has the same order of magnitude with that from the LS force and becomes smaller with neutron number, which indicates that excess neutrons do not contribute to the 2p2h tensor correlation significantly. We also study the effect of the tensor force on spin-orbit-splitting (ls-splitting) in a neutron-rich fluorine isotope {sup 23}F. The tensor force reduces the ls-splitting for the proton d-orbits by about 3 MeV. This effect is important to reproduce the experimental value. We also find that the 2p2h tensor correlation does not affect the ls-splitting in {sup 23}F.

• OSTI ID: 21143362
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1012; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CORRELATIONS
FLUORINE 23
HARTREE-FOCK METHOD
L-S COUPLING
MEAN-FIELD THEORY
MEV RANGE
NEUTRONS
NUCLEAR STRUCTURE
OXYGEN ISOTOPES
PARITY
PARTICLE-HOLE MODEL
POTENTIAL ENERGY
PROTONS
SPIN
TENSOR FORCES
WAVE FUNCTIONS