Molecule model for kaonic nuclear cluster anti-KNN

Abstract

We analyse the properties of the kaonic nuclear cluster (KNC) anti-KNN with the structure Nx(anti-KN)_(I = 0), having the quantum numbers I(J^P) = 1/2(0^-), and treated as a quasi-bound hadronic molecule state. We describe the properties of the hadronic molecule, or the KNC Nx(anti-KN)_(I = 0), in terms of vibrational degrees of freedom with oscillator wave functions and chiral dynamics. These wave functions, having the meaning of trial wave functions of variational calculations, are parameterised by the frequency of oscillations of the (anti-KN)_(I = 0) pair, which is fixed in terms of the binding energy of the strange baryon resonance Lambda(1405), treated as a quasi-bound (anti-KN)_(I = 0) state. The binding energies B_X and widths Gamma_X of the states X = (anti-KN)_(I = 0) and X = anti-KNN, respectively, are calculated in the heavy-baryon approximation by using chiral Lagrangians with meson-baryon derivative couplings invariant under chiral SU(3)xSU(3) symmetry at the tree-level approximation. The results are B_(anti-KNN) = 40.2 MeV and Gamma_(anti-KNN) = Gamma^(non-pionic)_(anti-KNN) + Gamma^(pionic)_(anti-KNN) ~ (85 - 106) MeV and, where Gamma^(non-pionic)_(anti-KNN) ~ 21 MeV and Gamma^(pionic)_(anti-KNN) ~ (64 - 86) MeV are the widths of non-pionic anti-KNN -> N Lambda^0, N Sigma and pionic anti-KNN -> N Sigma pi decay modes, calculated for B_(anti-KN) = 29 MeV and Gamma_(anti-KN) = (30 - 40) MeV, respectively.

16 pages, 3 figures

References in corpus (15)

• Effective Kbar N interaction based on chiral SU(3) dynamics
• Faddeev calculation of a $K^{-}pp$ quasi-bound state
• Strange dibaryon resonance in the anti-KNN--piYN system
• 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
• $\bar{K}NN$ quasi-bound state and the $\bar{K}N$ interaction: coupled-channel Faddeev calculations of the $\bar{K}NN-\pi \Sigma N$ system
• The basic K nuclear cluster K- pp and its enhanced formation in the p + p -> K+ + X reaction
• $K^{-}pp$ system with chiral SU(3) effective interaction
• Lineshape of the Lambda(1405) Hyperon Measured Through its Sigma0 pion0 Decay
• Variational calculations for K-few-nucleon systems
• Hadronic atoms in QCD + QED
• Lambda(1405)-induced non-mesonic decay in kaonic nuclei
• Emission spectra and invariant masses of Lambda and p in the stopped-K-NN absorption process in 4He and 6Li
• Isospin mixing effects in low-energy $\bar{K}N-\pi \Sigma$ interaction
• Overview of Antikaon-Nuclear Quasi-Bound States

Cited by in corpus (1)

• Partial Wave Analysis of the Reaction $p(3.5GeV)+p\to p{K}^{+}\Lambda$ to Search for the "$pp{K}^{-}$" Bound State