Kaon Condensation in Dense Matter

Abstract

The kaon energy in neutron matter is calculated analytically with the Klein-Gordon equation, by making a Wigner-Seitz cell approximation and employing a $K^{-}N$ square well potential. The transition from the low density Lenz potential, proportional to scattering length, to the high density Hartree potential is found to begin at fairly low densities. Exact non-relativistic calculations of the kaon energy in a simple cubic crystal of neutrons are used to test the Wigner-Seitz and the Ericson-Ericson approximation methods. All the calculations indicate that by $\sim 4$ times nuclear matter density the Hartree limit is reached, and as the Hartree potential is less attractive, the density for kaon condensation appears to higher than previously estimated. Effects of a hypothetical repulsive core in the $K^{-}N$ potential are also studied.

4 pages including 2 figures

References in corpus (2)

• The equation of state for nucleon matter and neutron star structure
• Phases of dense matter in neutron stars

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• Nuclear Three-body Force Effect on a Kaon Condensate in Neutron Star Matter
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• Late Hadronization and Matter Formed at RHIC: Vector Manifestation, Brown-Rho Scaling and Hadronic Freedom
• Itinerant Ferromagnetism in ultracold Fermi gases
• Bose-Einstein condensation in dense nuclear matter and strong magnetic fields
• Multi-antikaonic nuclei in the relativistic mean-field theory
• Bosons and Fermions near Feshbach resonances
• Kaonic modes in hyperonic matter and p-wave kaon condensation
• The effect of Kaon Condensation on Quark-Antiquark Condensate in Dense Matter
• Crossovers in Unitary Fermi Systems
• Kaon-meson coupling from SU(3) flavour symmetry and application to antikaon condensed dense matter in neutron star