The ground state of pentaquarks with cluster structure in the few-body system approach

Authors: ZARI BINESH, MOHAMMAD REZA SHOJAEI, BEHNAM AZADEGAN

Abstract: In this study, an analytical model is presented based on the Nikiforov-Uvarov method for the Θ⁺ exotic KN resonance as a kind of pentaquark. The radial Schrödinger equation for the central Yukawa and modified Yukawa potentials was solved for Θ⁺ by use of the Nikiforov-Uvarov method. The energy eigenvalues and corresponding wave functions of Θ⁺ were obtained in terms of potential coefficients and n,l quantum numbers. Finally, the potential coefficients were determined according to the binding energy of Θ⁺ exotic KN resonance. The potentials and wave functions of Θ⁺ exotic KN resonance for different sets of potential coefficients are also shown schematically.

Keywords: Pentaquark, diquark-triquark model, modified Yukawa potential, Nikiforov-Uvarov method, radial Schrödinger equation

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