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

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.

DOI

10.3906/fiz-1807-33

Keywords

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

First Page

314

Last Page

323

Recommended Citation

BINESH, ZARI; SHOJAEI, MOHAMMAD REZA; and AZADEGAN, BEHNAM (2019) "The ground state of pentaquarks with cluster structure in the few-body systemapproach," Turkish Journal of Physics: Vol. 43: No. 4, Article 2. https://doi.org/10.3906/fiz-1807-33
Available at: https://journals.tubitak.gov.tr/physics/vol43/iss4/2