Role of Weak Interaction on Kaon Condensation in Neutron Matter

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Abstract
K- condensation in neutron matter is investigated by taking into account excitation of hyperons on the basis of SU(3)L ×SU(3)R chiral symmetry. It is shown that the weak interaction plays an important role for realization of K- condensation, which largely affects an equation of state in its well-developed phase through the chemical equilibrium condition for the weak interaction process. K- condensation of the s-wave type firstly appears at about three times the standard nuclear density. The chemical equilibrium for the weak interaction leads to increase of proton-mixing as the condensation proceeds. As a result of the large proton-mixing, the kaon chemical potential becomes negative. At a higher density, hyperon-mixing starts, and another phase transition, the K- condensation of the p-wave type, occurs. Implications of the K- condensed phase as an intermediate phase connecting normal hadronic matter with strange quark matter are briefly discussed.

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