Sigma Condensed Nuclear Matter in the Extended Linear Sigma Model(Nuclear Physics)

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概要

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• We apply the linear sigma model to nuclear matter with finite nuclear density. Although the linear sigma model has no repulsive interaction, we introduce vector meson contributions to satisfy the saturation property of the nuclear matter. We also consider a nucleon mass term, scalar meson mass terms, and a sigma meson-chiral loop interaction, which are not chiral invariant, in addition to chiral-invariant higher-power chiral loop terms. The bulk properties of the nuclear matter are estimated on the assumption of sigma meson condensation. The parameters introduced in this model are determined such that the energy per nucleon of the system realizes its minimum at the normal nuclear density, ρ_B=0.19/fm^3 (the Fermi momentum p_F=278.5MeV/c), with the value -15.75MeV, and the incompressibility is given by K〜200MeV. With these parameter values, the effective pion mass squared is often negative at low densities. A negative pion mass squared implies the existence of a pion classical field. Here, we do not consider the pion condensed state, and therefore we seek parameter values that result in a positive pion mass squared at normal density.

• 一般社団法人日本物理学会の論文
• 2007-07-25

著者

• Tezuka Hirokazu

  Natural Science Laboratory Toyo University

関連論文

• Positive Energy Bound State Solutions in Relativistic Coulomb Potential
• Pion Pair Condensed Nuclear Matter in the Extended Linear Sigma Model(Nuclear Physics)
• Sigma Condensed Nuclear Matter in the Extended Linear Sigma Model(Nuclear Physics)

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