Effect of weak interaction on kaon condensation and cooling of neutron stars.

Physics – Nuclear Physics

Scientific paper

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Neutron Stars: Cooling

Scientific paper

Kaon condensation and its implication in the cooling mechanism in neutron stars are investigated within a framework of current algebra and PCAC. The weak interaction, nýp+K-, is shown to play a significant role in determining not only the critical density but also the equation of state of the K- condensed phase. The chemical equilibrium for the weak interaction leads to large proton-admixture. In connection with this result, the possibility of the direct URCA process, n→p+e-+ν¯e, p+e-→n+νe, is investigted. It is shown that, within a simple treatment without the nuclear interactions such as the symmetry energy, the kinematical condition for the direct URCA process is not satified despite the large proton-mixing, due to the resulting small electron Fermi momentum. The physical content of the K- condensation from a viewpoint of strangeness degrees of freedom is also discussed.

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