Study of the effect of the tensor correlation in oxygen isotopes with the charge and parityprojected HartreeFock method
Abstract
Recently, we developed a meanfieldtype framework that treats the correlation induced by the tensor force. We treat the tensor correlation by introducing intrinsic singleparticle 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 HartreeFocklike equation (charge and parityprojected HartreeFock equation). We extend further the charge and parityprojected HartreeFock method to include a threebody force, which is important to reproduce the saturation property of nuclei in a meanfield framework. We apply the charge and parityprojected HartreeFock method to subclosedshell 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.
 Authors:
 Kyoto University, Kitashirakawa, Kyoto 6068502 (Japan)
 (RIKEN), Wako, Saitama 3510198 (Japan)
 (RCNP), Osaka University, Ibaraki, Osaka 5670047 (Japan)
 Publication Date:
 OSTI Identifier:
 20990956
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevC.75.014317; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; BINDING ENERGY; CORRELATIONS; EQUATIONS; HARTREEFOCK METHOD; MEANFIELD THEORY; NEUTRONS; OXYGEN 14; OXYGEN 16; OXYGEN 22; OXYGEN 24; OXYGEN 28; PARITY; TENSOR FORCES; TENSORS; THREEBODY PROBLEM; WAVE FUNCTIONS
Citation Formats
Sugimoto, Satoru, Ikeda, Kiyomi, Toki, Hiroshi, The Institute of Physical and Chemical Research, and Research Center for Nuclear Physics. Study of the effect of the tensor correlation in oxygen isotopes with the charge and parityprojected HartreeFock method. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVC.75.014317.
Sugimoto, Satoru, Ikeda, Kiyomi, Toki, Hiroshi, The Institute of Physical and Chemical Research, & Research Center for Nuclear Physics. Study of the effect of the tensor correlation in oxygen isotopes with the charge and parityprojected HartreeFock method. United States. doi:10.1103/PHYSREVC.75.014317.
Sugimoto, Satoru, Ikeda, Kiyomi, Toki, Hiroshi, The Institute of Physical and Chemical Research, and Research Center for Nuclear Physics. Mon .
"Study of the effect of the tensor correlation in oxygen isotopes with the charge and parityprojected HartreeFock method". United States.
doi:10.1103/PHYSREVC.75.014317.
@article{osti_20990956,
title = {Study of the effect of the tensor correlation in oxygen isotopes with the charge and parityprojected HartreeFock method},
author = {Sugimoto, Satoru and Ikeda, Kiyomi and Toki, Hiroshi and The Institute of Physical and Chemical Research and Research Center for Nuclear Physics},
abstractNote = {Recently, we developed a meanfieldtype framework that treats the correlation induced by the tensor force. We treat the tensor correlation by introducing intrinsic singleparticle 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 HartreeFocklike equation (charge and parityprojected HartreeFock equation). We extend further the charge and parityprojected HartreeFock method to include a threebody force, which is important to reproduce the saturation property of nuclei in a meanfield framework. We apply the charge and parityprojected HartreeFock method to subclosedshell 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.},
doi = {10.1103/PHYSREVC.75.014317},
journal = {Physical Review. C, Nuclear Physics},
number = 1,
volume = 75,
place = {United States},
year = {Mon Jan 15 00:00:00 EST 2007},
month = {Mon Jan 15 00:00:00 EST 2007}
}

We study the effect of the tensor force on nuclear structure with meanfield and beyondmeanfield methods. An important correlation induced by the tensor force is twoparticletwohole (2p2h) correlation, which cannot be treated with a usual meanfiled method. To treat the 2p2h tensor correlation, we develop a new framework (charge and parityprojected HartreeFock (CPPHF) method), which is a beyondmeanfield method. In the CPPHF method, we introduce singleparticle 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 neutronrich ones. The potential energymore »