Baryonium

Abstract

In the framework of the heavy baryon perturbation theory, in which the two-pion exchange is considered, the physical properties of heavy-baryon-anti-heavy-baryon systems are revisited. The potentials between heavy-baryon and anti-heavy-baryon are extracted in a holonomic form. Based on the extracted potentials, the s-wave scattering phase shifts and scattering lengths of $Λ_c$-$\barΛ_c$ and $Σ_c$-$\barΣ_c$ are calculated. From these scattering features, it is found that the $Λ_c$-$\barΛ_c$ system can be bound only when the value of the coupling constant $g_2$ is larger than that from the decay data of the $Σ_c(Σ_c^*) \to Λ_c π$ process. The binding condition for the $Σ_c$-$\barΣ_c$ system is also examined. The binding possibilities of these systems deduced from the scattering calculations are also checked by the bound state calculation and the binding energies are obtained if the system can be really bound. The binding possibility of the $Λ_b$-$\barΛ_b$ system is investigated as well.