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 (8)

• In-medium nuclear interactions of low-energy hadrons
• 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
• $\bar{K}NN$ 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
• 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 (1)

• Resonance energy of the barKNN-piYN system