Effect of Shear viscosity on the nucleation of antikaon condensed matter in neutron stars

Abstract

We investigate a first-order phase transition from hadronic matter to antikaon condensed matter during the cooling stage of protoneutron stars. The phase transition proceeds through the thermal nucleation of antikaon condensed matter. In this connection we study the effect of shear viscosity on the thermal nucleation rate of droplets of antikaon condensed matter. Here we adopt the same equation of state for the calculation of shear viscosity and thermal nucleation time. We compute the shear viscosity of neutron star matter composed of neutrons, protons, electrons and muons using the relativistic mean field model. The prefactor in the nucleation rate which includes the shear viscosity, is enhanced 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. Further the thermal nucleation of an antikaon droplet might be possible in our case for surface tension smaller than 20 MeV fm${}^{-2}$.

20 pages including 7 figures

References in corpus (6)

• Effective Kbar N interaction based on chiral SU(3) dynamics
• Shear viscosity in neutron star cores
• Shear viscosity of neutron matter from realistic nucleon-nucleon interactions
• Electron-muon heat conduction in neutron star cores via the exchange of transverse plasmons
• Effect of hyperon-hyperon interaction on bulk viscosity and r-mode instability in neutron stars
• Critical temperature of antikaon condensation in nuclear matter

Cited by in corpus (1)

• Estimation of transport coefficients of dense hadronic and quark matter