Antikaon condensation in neutron stars

Abstract

We investigate the condensation of charged $K^{-}$ meson and neutral ${\bar{K}}^0$ meson in dense neutron star matter. Calculations are performed in relativistic mean field models in which both the baryon-baryon and (anti)kaon-baryon interactions are mediated by meson exchange. It is found that ${\bar{K}}^0$ condensation is quite sensitive to the antikaon optical potential and depends more strongly on the nucleonic equation of state. For moderate values of antikaon potential and a rather stiff equation of state, a significant region of maximum mass star will contain ${\bar{K}}^0$ meson. The critical density of ${\bar{K}}^0$ condensation is always higher than that of $K^{-}$ condensation. With the appearance of $K^{-}$ and ${\bar{K}}^0$ condensates, pairs of $p-K^{-}$ and $n-{\bar{K}}^0$ are produced with equal proportion leading to a perfectly symmetric matter of nucleons and antikaons in neutron stars. Along with $K^{-}$ condensate, ${\bar{K}}^0$ condensate makes the equation of state much softer resulting in smaller maximum mass stars compared to the case without any condensate.

34 pages;13 figs;Revtex; change of title; a figure added; version to appear in Nucl. Phys. A

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