Variational calculations for K-few-nucleon systems

Abstract

Deeply bound KNN, KNNN and KNNNN states are discussed. The effective force exerted by the K meson on the nucleons is calculated with static nucleons. Next the binding energies are obtained by solving the Schrodinger equation or by variational calculations. The dominant attraction comes from the S-wave Lambda(1405) and an additional contribution is due to Sigma(1385). The latter state is formed at the nuclear peripheries and absorbs a sizable piece of the binding energy. It also generates new branches of quasi-bound states. The lowest binding energies based on a phenomenological KN input fall into the 40-80 MeV range for KNN, 90-150 MeV for KNNN and 120-220 MeV for K-alpha systems. The uncertainties are due to unknown KN interactions in the distant subthreshold energy region.

19 pages, 1 figure

References in corpus (13)

• An accurate nucleon-nucleon potential with charge-independence breaking
• In-medium nuclear interactions of low-energy hadrons
• Low lying S=-1 excited baryons and chiral symmetry
• Effective Kbar N interaction based on chiral SU(3) dynamics
• Faddeev calculation of a $K^{-}pp$ quasi-bound state
• K^- p scattering length from scattering experiments
• Strange dibaryon resonance in the anti-KNN--piYN system
• 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
• A critical view on the deeply bound K^- pp system
• A critical analysis on deeply bound kaonic states in nuclei
• Emission spectra and invariant masses of Lambda and p in the stopped-K-NN absorption process in 4He and 6Li
• Study of light kaonic nuclei with a Chiral SU(3) - based KbarN interaction

Cited by in corpus (44)

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• Meson-nucleus potentials and the search for meson-nucleus bound states
• Resonance energy of the barKNN-piYN system
• Partial Wave Analysis of the Reaction $p(3.5GeV)+p\to p{K}^{+}\Lambda$ to Search for the "$pp{K}^{-}$" Bound State
• K${}^{-}$ absorption on two nucleons and ppK${}^{-}$ bound state search in the ${\Sigma }^0$p final state
• Structure near $K^{-}$+$p$+$p$ threshold in the in-flight ${}^3$He$(K^{-},\Lambda p)n$ reaction
• On the structure observed in the in-flight ${}^3\text{He}(K^{-},\Lambda p)n$ reaction at J-PARC
• Recent studies of kaonic atoms and nuclear clusters
• $K\Lambda (1405)$ configuration of the $K\bar{K}N$ system
• Observation of a $\bar{K}NN$ bound state in the ${}^3\mathrm{He}(K^{-},\Lambda p)n$ reaction
• Calculations of $K^{-}$ nuclear quasi-bound states based on chiral meson-baryon amplitudes
• pK+Λfinal state: towards the extraction of the ppK- contribution
• Few-body approach to structure of $\bar{K}$-nuclear quasi-bound states
• Theoretical study of the $KK\bar{K}$ system and dynamical generation of the K(1460) resonance
• Branching ratios of mesonic and nonmesonic antikaon absorptions in nuclear medium
• Search for the deeply bound $K^{-}pp$ state from the semi-inclusive forward-neutron spectrum in the in-flight $K^{-}$ reaction on helium-3
• Antikaon interactions with nucleons and nuclei
• K${}^{-}$ multi-nucleon absorption cross sections and branching ratios in $\Lambda$p and ${\Sigma }^0$p final states
• Structure of the $\Lambda (1405)$ and the $K^{-}d\to \pi \Sigma n$ reaction
• DISTO data on Kpp
• First exclusive measurements of the K^-pp state - populated in the pp to K^+ Lambda p reaction at 2.85 GeV
• Comprehensive application of a coupled-channel complex scaling method to the KbarN-piY system
• Formation spectra of light kaonic nuclei by in-flight ($\bar{K},N$) reactions with chiral unitary amplitude
• The K1.8BR spectrometer system at J-PARC
• Deeply-bound $K^{-}pp$ state in the ${}^3$He(in-flight $K^{-}$, $n$) spectrum and its moving pole near the $\pi \Sigma N$ threshold
• Quadruply charmed baryons as heavy quark symmetry partners of the $D_{s0}^{\ast }(2317)$
• Double-pole nature of $\Lambda (1405)$ studied with coupled-channel complex scaling method using complex-range Gaussian basis
• One way to verify the molecular picture of exotic hadrons --from $DK$ to $DDK/D{\bar{D}}^{(\ast )}K$
• Signature of strange dibaryons in kaon- and photon-induced reactions
• Study of the p$-$p$-$K${}^{+}$ and p$-$p$-$K${}^{-}$ dynamics using the femtoscopy technique
• Development of liquid helium-3 target for experimental studies of antikaon-nucleon interaction at J-PARC
• Overview of Strangeness Nuclear Physics
• Universal physics of the few-body system of two neutrons and one flavored meson
• $K^{-}d\to \pi \Sigma n$ reactions and structure of the $\Lambda (1405)$
• $\bar{K}\bar{D}N$ molecular state as a "$uuds\bar{c}$ pentaquark" in a three-body calculation
• Binding of antikaons and Lambda(1405) clusters in light kaonic nuclei
• Molecule model for kaonic nuclear cluster anti-KNN
• Recent results and future prospects of kaonic nuclei at J-PARC
• Antikaon-nucleus dynamics: from quasibound states to kaon condensation
• Benchmark for a quasi-bound state of the $\stackrel{\_}{K}pp$ system
• Signature of strange dibaryon in kaon-induced reaction
• The Peak Structure in the In-Flight ${}^3\text{He}(K^{-},\Lambda p)n$ Reaction Around the $\bar{K}NN$ Threshold