Negative Kaons in Dense Baryonic Matter

Abstract

Kaon polarization operator in dense baryonic matter of arbitrary isotopic composition is calculated including s- and p-wave kaon-baryon interactions. The regular part of the polarization operator is extracted from the realistic kaon-nucleon interaction based on the chiral and 1/N_c expansion. Contributions of the Lambda(1116), Sigma(1195), Sigma*(1385) resonances are taken explicitly into account in the pole and regular terms with inclusion of mean-field potentials. The baryon-baryon correlations are incorporated and fluctuation contributions are estimated. Results are applied for K- in neutron star matter. Within our model a second-order phase transition to the s-wave K- condensate state occurs at $rho_c \gsim 4 ρ_0$ once the baryon-baryon correlations are included. We show that the second-order phase transition to the p-wave $K^{-}$ condensate state may occur at densities ${\rho }_c\sim 3÷5{\rho }_0$ in dependence on the parameter choice. We demonstrate that a first-order phase transition to a proton-enriched (approximately isospin-symmetric) nucleon matter with a p-wave K- condensate can occur at smaller densities, $ρ\lsim 2 ρ_0$. The transition is accompanied by the suppression of hyperon concentrations.

41 pages, 24 figures, revtex4 style

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Cited by in corpus (32)

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• Kaon production in heavy ion reactions at intermediate energies
• The physics of neutron stars
• Cooling of Neutron Stars. Hadronic Model
• Solution of the Hyperon Puzzle within a Relativistic Mean-Field Model
• Relativistic Mean-Field Models with Effective Hadron Masses and Coupling Constants, and rho^- Condensation
• Relativistic Mean-Field Models with Scaled Hadron Masses and Couplings: Hyperons and Maximum Neutron Star Mass
• Finite size effects on kaonic pasta structures
• Antikaons and hyperons in nuclear matter with saturation
• Viscosity of neutron star matter and $r$-modes in rotating pulsars
• Medium Effects in Cooling of Neutron Stars and $3P_2$ Neutron Gap
• Equation of State for Hot and Dense Matter: $\sigma$-$\omega$-$\rho$ Model with Scaled Hadron Masses and Couplings
• Relativistic Mean-Field Model with Scaled Hadron Masses and Couplings
• Interplay between kaon condensation and hyperons in highly dense matter
• Cooling of neutron stars in "nuclear medium cooling scenario" with stiff equation of state including hyperons
• Isovector Channel Role of Relativistic Mean Field Models in the Neutrino Mean Free Path
• Strangeness Balance in HADES Experiments and the Xi- Enhancement
• Multi-antikaonic nuclei in the relativistic mean-field theory
• Kaon Condensation and Lambda-Nucleon Loop in the Relativistic Mean-Field Approach
• Relativistic Mean-Field Treatment of Pulsar Kick from Neutrino Propagation in Magnetized Proto-Neutron
• Hadron Liquid with a Small Baryon Chemical Potential at Finite Temperature
• Structure formation during phase transitions in strongly interacting matter
• Kaon-condensed hypernuclei as highly dense self-bound objects
• Neutrino Electromagnetic Form Factors Effect on the Neutrino Cross Section in Dense Matter
• S-wave pion condensation in symmetric nuclear matter
• Neutron Fraction and Neutrino Mean Free Path Predictions in Relativistic Mean Field Models
• Vector-boson condensates, spin-triplet superfluidity of paired neutral and charged fermions, and $3P_2$ pairing of nucleons
• In-medium meson properties and field transformations
• Examination of STAR fixed-target data on directed flow at $\sqrt{s_{NN}}=$ 3 and 4.5 GeV
• The effect of Kaon Condensation on Quark-Antiquark Condensate in Dense Matter
• Kaon-antikaon nuclear optical potentials and the kappa meson in the nuclear medium
• Evolution of quasiperiodic structures in non-ideal hydrodynamic description of phase transitions