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 + exoticKN resonance as a kind of pentaquark. The radial Schrödinger equation for the central Yukawa and modified Yukawapotentials was solved for + by use of the Nikiforov–Uvarov method. The energy eigenvalues and corresponding wavefunctions of + were obtained in terms of potential coefficients and n,l quantum numbers. Finally, the potentialcoefficients were determined according to the binding energy of + exotic KN resonance. The potentials and wavefunctions of + exotic KN resonance for different sets of potential coefficients are also shown schematically.