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Tetraquark resonances, flip-flop and cherry in a broken glass model

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arxiv 1010.1014 v1 pith:3AUVTWIS submitted 2010-10-05 hep-ph

Tetraquark resonances, flip-flop and cherry in a broken glass model

classification hep-ph
keywords cherrytetraquarkbrokenequationescapeflip-flopglassmodel
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We develop a formalism to study tetraquarks using the generalized flip-flop potential, which include the tetraquark potential component. Technically this is a difficult problem, needing the solution of the Schr\"odinger equation in a multidimensional space. Since the tetraquark may at any time escape to a pair of mesons, here we study a simplified two-variable toy model and explore the analogy with a cherry in a glass, but a broken one where the cherry may escape from. We also compute the decay width in this two-variable picture, solving the Schr\"odinger equation for the outgoing spherical wave.

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