Massive $\Delta$-resonance admixed hypernuclear stars with anti-kaon condensations

Abstract

In this work, we study the effect of (anti)kaon condensation on the properties of compact stars that develop hypernuclear cores with and without an admixture of $\Delta$-resonances. We work within the covariant density functional theory with the parameters adjusted to $K$-atomic and kaon-nucleon scattering data in the kaonic sector. The density-dependent parameters in the hyperonic sector are adjusted to the data on $\Lambda$ and ${\Xi }^{-}$ hypernuclei data. The $\Delta$-resonance couplings are tuned to the data obtained from their scattering off nuclei and heavy-ion collision experiments. We find that (anti)kaon condensate leads to a softening of the equation of state and lower maximum masses of compact stars than in the absence of the condensate. Both the $K^{-}$ and ${\bar{K}}^0$-condensations occur through a second-order phase transition, which implies no mixed-phase formation. For large values of (anti)kaon and $\Delta$-resonance potentials in symmetric nuclear matter, we observe that condensation leads to an extinction of ${\Xi }^{-,0}$ hyperons. We also investigate the influence of inclusion of additional hidden-strangeness ${\sigma }^{\ast }$ meson in the functional and find that it leads to a substantial softening of the equation of state and delay in the onset of (anti)kaons.

14 pages, 11 figures, accepted for publication in Phys. Rev. D

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