S wave resonance *

Abstract

We use an existing model of the three-body system based on two-body separable interactions to study the three-body channel. For the , , and amplitudes, we have constructed separable potentials based on the most recent results of the HAL QCD Collaboration. They are characterized by the existence of a resonance just below or above the threshold in the H-dibaryon channel, . A three-body resonance appears 2.3 MeV above the threshold. We show that if the H-dibaryon channel is not considered, the S wave resonance disappears. Thus, the possible existence of a resonance would be sensitive to the interaction. The existence or nonexistence of this resonance could be evidenced by measuring, for example, the cross section.