Calculation of binding energy and wave function for exotic hidden-charm pentaquark

TL;DR

This paper presents an analytical approach to calculating the binding energy and wave function of the exotic pentaquark Pc(4380), considering it as a baryon-meson bound state, and compares the results with existing data.

Contribution

It introduces a method of expanding the potential in the Schrödinger equation to analytically determine the pentaquark's properties.

Findings

Calculated binding energy and wave function for pentaquark Pc(4380)

Estimated mass and radius of the pentaquark

Comparison with previous results confirms the model's validity

Abstract

In this study, pentaquark Pc(4380) composed of a baryon sigma_c and a D_* meson is considered. Pentaquark is as a bound state of two-body systems composed of a baryon and a meson. The calculated potential will be expanded and replaced in the Schrodinger equation until tenth sentences of expansion. Solving the Schrodinger equation with the expanded potential of Pentaquark leads to an analytically complete approach. As a consequence, the binding energy EB of pentaquark Pc and wave function are obtained. The results EB will presented in the form of tables so that we can review the existence of pentaquark Pc. Then, the wave function will be shown on diagrams. Finally, the calculated results are compared with another obtained results and the mass of observing pentaquark Pc and the radius of pentaquark are estimated.