Does Σ-Σ-αForm a Quasi-Bound State?

Details Does Σ-Σ-αForm a Quasi-Bound State? Does Σ-Σ-αForm a Quasi-Bound State?

2004-06-16

arxiv.org/abs/nucl-th/0406051v1

Prog.Theor.Phys.113:809-820,2005

Physics

Nuclear Physics

Nuclear Theory

13 pages, 4 figures, 5 tables

Scientific paper

10.1143/PTP.113.809

We have investigated the possible existence of a quasi-bound state for the \Sigma -\Sigma -\alpha system in the framework of Faddeev calculations. We are particularly interested in the state of total iso-spin T=2, since for an inert \alpha particle there is no strong conversion to \Xi -N-\alpha or \Lambda -\Lambda -\alpha possible. A \Sigma -\alpha optical potential based on Nijmegen model D and original \Sigma -\Sigma interactions of the series of Nijmegen potentials NSC97 as well a simulated Gaussian type versions thereof are used. Our investigation of the \Sigma -\Sigma -\alpha system 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.

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