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arXiv 0812.2537nucl-th
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相对论平均场论中的多反K原子核

Multi-antikaonic nuclei in the relativistic mean-field theory

Takumi Muto, Toshiki Maruyama, Toshitaka Tatsumi

摘要:

在相对论平均场模型下,结合热力学势中K介子部分的手征动力学,研究了多个$K^-$介子束缚的多反K介子核(MKN)的性质。得到了核子和$K^-$介子的密度分布、$K^-$介子的单粒子能量和MKN的结合能。与其它介子($σ$、$ω$和$ρ$)交换模型相比,讨论了$\bar K-\bar K$相互作用对这些量的影响.结果表明,$\bar K-\bar K$相互作用来源于两种贡献:一种是手征对称性所固有的反K介子之间的接触相互作用,另一种是$K^-$与介子平均场之间的耦合作用.随着嵌入$K^-$介子数目的增加,$\bar K-\bar K$排斥作用对MKN基态性质的影响都变大.提出了无限均匀物质中多反K介子核与K介子凝聚的关系。

英文摘要:

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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