Multi-antikaonic nuclei in the relativistic mean-field theory

Abstract

Properties of multi-antikaonic nuclei (MKN), where several numbers of $K^{-}$ mesons are bound, are studied in the relativistic mean-field model, combined with chiral dynamics for kaonic part of the thermodynamic potential. The density profiles for nucleons and $K^{-}$ mesons, the single particle energy of the $K^{-}$ mesons, and binding energy of the MKN are obtained. The effects of the $\bar{K}-\bar{K}$ interactions on these quantities are discussed in comparison with other meson ($\sigma$, $\omega$, and $\rho$)-exchange models. It is shown that the $\bar{K}-\bar{K}$ interactions originate from two contributions: One is the contact interaction between antikaons inherent in chiral symmetry, and the other is the one generated through coupling between the $K^{-}$ and meson mean fields. Both effects of the $\bar{K}-\bar{K}$ repulsive interactions become large on the ground state properties of the MKN as the number of the embedded $K^{-}$ mesons increases. A relation between the multi-antikaonic nuclei and kaon condensation in infinite and uniform matter is mentioned.

Comments: 27 pages, 13 figures