Few-body approach to structure of $\bar{K}$-nuclear quasi-bound states

Abstract

Structure of light antikaon-nuclear quasi-bound states, which consist of an antikaon $(\bar{K}=K^{-},{\bar{K}}^0)$ and a few nucleons $(N=p,n)$ such as $\bar{K}NN$, $\bar{K}NNN$, $\bar{K}NNNN$ and $\bar{K}NNNNNN$ systems, is studied with full three- to seven-body calculations. Employing a realistic $\bar{K}N$ potential based on the chiral SU(3) effective field theory with the SIDDHARTA constraint, we show that the central nucleon densities of these systems increases when the antikaon is injected, by about factor of two at maximum. The $\bar{K}NNNN$ system shows the largest central density, about 0.74 fm${}^{-3}$ even with the phenomenological $\bar{K}N$ potential, which are not as high as those suggested in previous studies with approximate treatments of the few-body systems. We find the spin of the ground state of the $\bar{K}NNNNNN$ system depends on the strength of the $\bar{K}N$ attraction. Thus, the quantum number of the ground state can be another constraint on the $\bar{K}N$ interaction.

22 pages, 17 figures

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Cited by in corpus (14)

• Scattering studies with low-energy kaon-proton femtoscopy in proton-proton collisions at the LHC
• Observation of a $\bar{K}NN$ bound state in the ${}^3\mathrm{He}(K^{-},\Lambda p)n$ reaction
• Construction of a local barK N-pi Sigma-pi Lambda potential and composition of the Lambda(1405)
• Fully coupled-channel complex scaling method for the $K^{-}pp$ system
• Quadruply charmed baryons as heavy quark symmetry partners of the $D_{s0}^{\ast }(2317)$
• Emergence of nuclear clustering in electric-dipole excitations of ${}^6$Li
• Study of the p$-$p$-$K${}^{+}$ and p$-$p$-$K${}^{-}$ dynamics using the femtoscopy technique
• Universal physics of the few-body system of two neutrons and one flavored meson
• Quasi-bound state in the $\bar{K}NNN$ system
• Binding of antikaons and Lambda(1405) clusters in light kaonic nuclei
• $\bar{K}\bar{D}N$ molecular state as a "$uuds\bar{c}$ pentaquark" in a three-body calculation
• Recent results and future prospects of kaonic nuclei at J-PARC
• Kaonic Nuclear Clusters --- a New Paradigm of Particle and Nuclear Physics ---
• Electric-dipole transitions in ${}^6$Li with a fully microscopic six-body calculation