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Does capital sigma - capital sigma - alpha Form Quasi-Bound States?
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Journal Article
Does capital sigma - capital sigma - alpha Form Quasi-Bound States?
2013
Overview
For the capital sigma - capital sigma - alpha system we theoretically look into the possible existence of a quasi-bound state in the framework of Faddeev calculations. We are particularly interested in the state of total iso-spin T=2, because there is no strong conversion between Xi -N- alpha and $${\\Lambda-\\Lambda-\\alpha}$$ . An analytic continuation using the point method is applied to search the eigenvalue in the complex energy plane. In our results the capital sigma - capital sigma - alpha three-body system has two quasi-bound states (J super( ) pi = 0 super(+)) where, depending on the potential parameters in the Nijmegen NSC97 model potential, the energy ranges between -1.4 and -2.4 MeV and the level width is about 0.4 MeV for the ground state. In addition, we obtained the excited state at -0.15 MeV (width 4 MeV).
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