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

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

2010-10-05

arxiv.org/abs/1010.1014v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 6 figures, 1 table, contribution to the proceedings of MINI-WORKSHOP BLED 2010: DRESSING HADRONS, Bled (Slovenia), Ju

Scientific paper

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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