Nucleation of Antikaon Condensed Matter in Protoneutron Stars

AIP Conference Proceedings 08/2011; 1441. DOI: 10.1063/1.3700566
Source: arXiv


A first order phase transition from nuclear matter to antikaon condensed
matter may proceed through thermal nucleation of a critical droplet of antikaon
condensed matter during the early evolution of proto neutron stars (PNS).
Droplets of new phase having radii larger than a critical radius would survive
and grow, if the latent heat is transported from the droplet surface to the
metastable phase. We investigate the effect of shear viscosity on the thermal
nucleation time of the droplets of antikaon condensed matter. In this
connection we particularly study the contribution of neutrinos in the shear
viscosity and nucleation in PNS.

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Available from: Sarmistha Banik
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    ABSTRACT: We study shear viscosities of different species in hot and neutrino-trapped dense matter relevant to protoneutron stars. It is found that the shear viscosities of neutrons, protons and electrons in neutrino-trapped matter are of the same orders of magnitude as the corresponding shear viscosities in neutrino-free matter. Above all, the shear viscosity due to neutrinos is higher by several orders of magnitude than that of other species in neutrino-trapped matter. Next we investigate the effect of shear viscosity in particular, neutrino shear viscosity on the thermal nucleation rate of droplets of antikaon condensed matter in protoneutron stars. The first-order phase transition from hadronic matter to antikaon condensed matter is driven by the thermal nucleation process. We compute the equation of state used for the calculation of shear viscosity and thermal nucleation time within the relativistic mean field model. Neutrino shear viscosity enhances the prefactor in the nucleation rate by several orders of magnitude compared with the $T^4$ approximation of earlier calculations. Consequently the thermal nucleation time in the $T^4$ approximation overestimates our result. Furthermore, the thermal nucleation of an antikaon droplet might be possible in neutrino-trapped matter before neutrino diffusion takes place.
    Full-text · Article · Dec 2011 · Physical Review C