Baryonium Study in Heavy Baryon Chiral Perturbation Theory

TL;DR

This paper investigates the possibility of heavy baryon and anti-baryon bound states, called baryonium, using heavy baryon chiral perturbation theory to derive interaction potentials and predict their masses.

Contribution

It introduces a method to calculate heavy baryonium masses from interaction potentials derived in heavy baryon chiral perturbation theory, considering uncertainties.

Findings

Heavy baryonium may exist under certain parameters.

Calculated masses are consistent with potential bound states.

Uncertainties in the potential affect mass predictions.

Abstract

To see whether heavy baryon and anti-baryon can form a bound state, the heavy baryonium, we study the interaction potential between them in terms of heavy baryon perturbation theory. The obtained potential is applied to calculate the heavy baryonium masses by solving Schr\"{o}dinger equation. We find it is true that the heavy baryonium may exist in a reasonable choice of input parameters. The uncertainties remaining in the potential and their influences on the heavy baryonium mass spectrum are discussed.