Baryonic systems with charm and bottom in the bound state soliton model

Abstract

The binding energies of baryonic systems (BS) with baryon number $B=2, 3$ and 4 possessing heavy flavor, charm and bottom, are estimated within the rigid oscillator version of the bound state approach to chiral soliton models. Two tendencies are noted: the binding energy increases with increasing mass of the flavor and with increasing $B$. Therefore, the charmed or bottomed baryonic systems have more chances to be bound than strange baryonic systems discussed previously. The flavor symmetry breaking in decay constants $F$ is considered which is especially important for baryonic systems with bottom quantum numbers. Generally, for heavy flavors the scale of the binding energies of BS depends on the scale of flavor symmetry violation in $r_F=F_F/F_\pi$.