Microscopic 8-quark study of the antikaon nucleon nucleon systems

Abstract

We study the possibility to bind eight quarks in a molecular hadronic system composed of two nucleons and an antikaon, with the quantum numbers of a hexaquark flavour, in particular with strangeness -1, isospin 1/2, parity -, baryonic number 2 and two possible spins, 0 or 1. These exotic hadrons are motivated by the deuteron, a proton-neutron boundstate, and by the model of the Lambda(1405) as an antikaon proton boundstate. We discuss the possible production of this hadron in the experiments which are presently investigating hot topics like the Theta+ pentaquark or the K- deeply bound in nuclei. The K- N interactions and the coupling to other channels are computed microscopically from a confining and chiral invariant quark model resulting in local plus separable Gaussian potentials. The N N interactions used here are the state of the art Nijmegen potentials. The binding energy and the decay rate of the K- N and K- N N systems are computed with configuration space variational methods. The only systems that bind with our microscopic interaction are the K- N in the I=0 channel and the K- N N in the S=0 channel.