Neutral pion condensation in the chiral SU(3)⊗SU(3) model

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Chiral Lagrangians, Nuclear Matter Aspects Of Neutron Stars

Scientific paper

A pure p-wave π0 condensation in the chiral SU(3)⊗SU(3) model is studied within the relativistic mean-field approximation and its effect on the equation of state is compared with that of a pure s-wave K- condensation. To this end, three models are considered, which are distinguished from each other in the ways σ, ω, and ρ mesons contribute to the system's energy. We find that, although the details of the result are model dependent, the π0 condensation forming a standing wave is commonly observed in the intermediate region of density. In particular, in case ω's mass is generated through coupling to σ, π0 condensation reduces the system's energy significantly. The pure π0 condensation tends to be taken over by the pure uniform K- condensation at high densities because of the dominance of the KN sigma term.

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