Fully coupled-channel study of $K^{-}pp$ resonance in a chiral SU(3)-based $\bar{K}N$ potential

Abstract

We have investigated the most essential kaonic nucleus "$K^{-}pp$" as a resonant state of the $\bar{K}NN$-$\pi \Sigma N$-$\pi \Lambda N$ coupled channel system using a chiral SU(3)-based $\bar{K}N$ potential. We treat the "$K^{-}pp$" resonance adequately with a fully coupled-channel complex scaling method (full ccCSM). Self-consistency needs to be considered for the energy dependence of the chiral SU(3)-based potential. In the present study, we propose a simple prescription for the treatment of self-consistency, considering the {\it averaged threshold} and {\it averaged binding energy of mesons}. With this prescription, we have successfully found the self-consistent solutions of the "$K^{-}pp$" three-body resonance. The results indicate that the "$K^{-}pp$" system is bound rather shallowly. In particular, when the potential parameters are constrained with the latest $\bar{K}N$ scattering length, the binding energy and half of the mesonic decay width are obtained as $14-50$ MeV and $8-19$ MeV, respectively.

7 pages, 2 figures, accepted by Phys. Lett. B

References in corpus (11)

• Variational calculation of the ppK^- system based on chiral SU(3) dynamics
• Indication of a deeply bound compact K-pp state formed in the pp -> p Lambda K+ reaction at 2.85 GeV
• The basic K nuclear cluster K- pp and its enhanced formation in the p + p -> K+ + X reaction
• $\bar{K}NN$ quasi-bound state and the $\bar{K}N$ interaction: coupled-channel Faddeev calculations of the $\bar{K}NN-\pi \Sigma N$ system
• $K^{-}pp$ system with chiral SU(3) effective interaction
• Recent development of complex scaling method for many-body resonances and continua in light nuclei
• Energy dependence of barKN interactions and resonance pole of strange dibaryons
• Partial Wave Analysis of the Reaction $p(3.5GeV)+p\to p{K}^{+}\Lambda$ to Search for the "$pp{K}^{-}$" Bound State
• Observation of the "$K^{-}pp$"-like structure in the $d({\pi }^{+},K^{+})$ reaction at 1.69 GeV/$c$
• Application of a coupled-channel Complex Scaling Method with Feshbach projection to the $K^{-}pp$ system
• "${\text{K}}^{-}\text{p}\text{p}$", a $\overline{K}$-Meson Nuclear Bound State, Observed in ${}^3\mathrm{He}(K^{-},\Lambda p)n$ Reactions

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