π π andK¯K channel coupling |
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Authors: | F. Cannata J. P. Dedonder L. Le?niak |
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Affiliation: | 1. Dipartimento di Fisica and INFN, I-40126, Bologna, Italy 2. Laboratoire de Physique Nucléaire, T14/24, 5ème ét., Université Paris 7, F-75251, Paris Cedex 05, France 3. Division de Physique Théorique, IPN, F-91406, Orsay, France 4. Department of Theoretical Physics, Institute of Nuclear Physics, PL-31-342, Krakòw, Poland
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Abstract: | We investigate the origin of the attraction in theK¯K channel around the threshold by introducing an additional channel to theππ andK¯K channels in a separable potential formalism assuming, in general, no direct interaction in theK¯K channel. To reproduce the features of the data, we find that the threshold of the additional channel is much above thef 0(975) meson position. We show that this three-channel problem can be reduced to an effective two-channel problem where thef 0(975) behaves as if it were aK¯K molecule bound by the coupling to the exotic channel. This picture is also supported by the fact that a single pole only, in the complexK¯K momentum plane, is associated to thef 0(975) meson. Various physical observables, like the decay branching ratio and theK¯K scattering length, are then discussed in an effective two-channel framework. |
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