Multi-$\bar{K}$ hypernuclei

Abstract

Relativistic mean field calculations of multi-$\bar{K}$ hypernuclei are performed by adding $K^{-}$ mesons to particle-stable configurations of nucleons, $\Lambda$ and $\Xi$ hyperons. For a given hypernuclear core, the calculated $\bar{K}$ separation energy $B_{\bar{K}}$ saturates with the number of $\bar{K}$ mesons for more than roughly 10 mesons, with $B_{\bar{K}}$ bounded from above by 200 MeV. The associated baryonic densities saturate at values 2-3 times nuclear-matter density within a small region where the $\bar{K}$-meson densities peak, similarly to what was found for multi-$\bar{K}$ nuclei. The calculations demonstrate that particle-stable multistrange $\{N,\Lambda ,\Xi \}$ configurations are stable against strong-interaction conversions $\Lambda \to N\bar{K}$ and $\Xi \to N\bar{K}\bar{K}$, confirming and strengthening the conclusion that kaon condensation is unlikely to occur in strong-interaction self-bound strange hadronic matter.

21 pages, 7 figures, revised figures and text

References in corpus (10)

• In-medium nuclear interactions of low-energy hadrons
• K anti-K N molecule state with I=1/2 and J^P=1/2^+ studied with three-body calculation
• Solution to Faddeev equations with two-body experimental amplitudes as input and application to J^P=1/2^+, S=0 baryon resonances
• Chiral SU(3) Dynamics and Antikaon-Nuclear quasibound States
• Multi-$\bar{K}$ nuclei and kaon condensation
• Interplay between kaon condensation and hyperons in highly dense matter
• Multi-antikaonic nuclei in the relativistic mean-field theory
• Critical temperature of antikaon condensation in nuclear matter
• Kaon-condensed hypernuclei as highly dense self-bound objects
• The $\sigma K$ coupling in the chiral unitary approach and the isoscalar $\bar{K}N$, $\bar{K}A$ interaction