Within the framework of the Brueckner-Hartree-Fock approach, the effect of a microscopic nuclear three-body force (TBF) on the composition of the kaon condensed phase in chemical equilibrium neutron star matter has been studied. In Fig.1 is plotted the composition of neutron star matter for three different values of a3ms. The kaon condensed phase of neutron star matter turns out to be proton-rich instead of neutron-rich. The three-body force has an important influence on the composition of the kaon condensed phase. Inclusion of the three-body force contribution in the nuclear symmetry energy results in a significant reduction of the proton and kaon fractions in the kaon condensed phase which is more proton-rich in the case of no three-body force. The equation of state of neuron star matter is found to be softened considerably by the kaon-nucleon interaction in the kaon condensed phase.
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