TY - JOUR

T1 - Variational calculations of nuclear matter with approximate energy expression

AU - Tanaka, Kazunori

AU - Takano, Masatoshi

PY - 2008/12/1

Y1 - 2008/12/1

N2 - The approximate energy expression for the variational calculation of nuclear matter is refined by taking into account three-body cluster terms with tensor correlations. In this variational method, the energy expression is constructed as an explicit functional of various two-body distribution functions which are regarded as variational functions. Then, the Euler-Lagrange equations are derived and fully minimized energies are obtained. The previous energy expression does not include the kinetic-energy terms caused by noncentral correlations sufficiently, and the obtained energy of nuclear matter is too low. Therefore, in this study, the energy expression is improved by taking into account important missing three-body-cluster kinetic-energy terms caused by tensor correlations. In this refinement, necessary conditions on tensor structure functions play important roles. The obtained energy per neutron for neutron matter with the v6' potential is considerably higher than that of the old energy expression.

AB - The approximate energy expression for the variational calculation of nuclear matter is refined by taking into account three-body cluster terms with tensor correlations. In this variational method, the energy expression is constructed as an explicit functional of various two-body distribution functions which are regarded as variational functions. Then, the Euler-Lagrange equations are derived and fully minimized energies are obtained. The previous energy expression does not include the kinetic-energy terms caused by noncentral correlations sufficiently, and the obtained energy of nuclear matter is too low. Therefore, in this study, the energy expression is improved by taking into account important missing three-body-cluster kinetic-energy terms caused by tensor correlations. In this refinement, necessary conditions on tensor structure functions play important roles. The obtained energy per neutron for neutron matter with the v6' potential is considerably higher than that of the old energy expression.

UR - http://www.scopus.com/inward/record.url?scp=84887311196&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84887311196&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:84887311196

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

T2 - 10th Symposium on Nuclei in the Cosmos, NIC 2008

Y2 - 27 July 2008 through 1 August 2008

ER -