Bound state solutions of the Schr\"odinger equation for dibaryons via asymptotic iteration method

TL;DR

This paper uses the asymptotic iteration method to analytically solve the Schrödinger equation for dibaryons, predicting their mass spectra and encouraging experimental searches for double charm and bottom hexaquarks.

Contribution

It provides analytical solutions for the mass spectra of charm and bottom hexaquarks using AIM, a novel approach for this class of exotic hadrons.

Findings

Mass spectra of charm and bottom hexaquarks calculated.

Binding energies determined for different spin states.

Recommendation for experimental search for double charm and bottom dibaryons.

Abstract

Conventionally, hexaquarks are claimed to be exotic particles, most of which have not yet been experimentally detected. In this work, we study the mass spectra of exotic hadrons known as hexaquarks in the form of dibaryons. We investigate the hexaquark states with the twobody configuration in more detail. Starting from the analytical solution of the radial Schr\"odinger equation for the Hulth\'en potential in the framework of the asymptotic iteration method (AIM), we obtain the binding energy and mass spectrum of charm and bottom hexaquarks for different spin states. We strongly recommend searching experimentally for double charm and bottom dibaryons in the future.