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

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.