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arXiv · 0812.2537

Multi-antikaonic nuclei in the relativistic mean-field theory

Takumi Muto·Toshiki Maruyama·Toshitaka Tatsumi
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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 ($σ$, $ω$, and $ρ$)-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.

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Takumi Muto, Toshiki Maruyama, Toshitaka Tatsumi. 2008-12-13. Multi-antikaonic nuclei in the relativistic mean-field theory. https://doi.org/10.1103/physrevc.79.035207

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