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Presentations

Numerical study of the quarkonium model with the Yukawa potential

Volohova A.V., Zemlyanaya E.V., Rikhvitsky V.S.

Joint Institute for Nuclear Research 141980, Moscow Region, Dubna, Joliot-Curie St., Bldg. 6 volohova@jinr.ru

To numerically solve the potential model of quarkonium as a bound state of a quark and antiquark, a computational scheme was developed, a software suite was implemented, and numerical solutions were obtained for the Schwinger-Dyson and Bethe-Salpeter equations with the Yukawa potential in the momentum representation under the spherical symmetry approximation. A system of two nonlinear integral Schwinger-Dyson equations describes the quark wave function and energy function, which are included in the Bethe-Salpeter problem for calculating the energy levels and wave functions of quarkonium. Solving the Bethe-Salpeter problem allows one to calculate physical properties that may be useful in experiments.

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