Does Σ-Σ-αForm a Quasi-Bound State?

Abstract

We have investigated the possible existence of a quasi-bound state for the Σ-Σ-αsystem in the framework of Faddeev calculations. We are particularly interested in the state of total iso-spin T=2, since for an inert αparticle there is no strong conversion to Ξ-N-αor Λ-Λ-αpossible. A Σ-αoptical potential based on Nijmegen model D and original Σ-Σinteractions of the series of Nijmegen potentials NSC97 as well a simulated Gaussian type versions thereof are used. Our investigation of the Σ-Σ-αsystem leads to a quasi bound state where, depending on the potential parameters, the energy ranges between -1.4 and -2.4 MeV and the level width is about 0.2MeV.

13 pages, 4 figures, 5 tables