Low-lying doubly heavy baryons: Regge relation and mass scaling

In framework of heavy-diquark$-$light-quark endowed with heavy-pair binding, we explore excited baryons $QQ^{\prime}q$ containing two heavy quarks ($QQ^{\prime}=cc,bb,bc$) by combining the method Regge trajectory perturbative correction due to interaction in baryons. Two relations, one linear and other nonlinear, are constructed semi-classically QCD string picture, a mass scaling relation based on diquark-heavy antiquark symmetry employed between doubly mesons. We employ ground-state estimates compatible observed charmed baryon $\Xi_{cc}$ spectra quarkonia determine parameters binding energies pair, thereby compute low-lying masses $\Xi_{QQ^{\prime}}$ $\Omega_{QQ^{\prime}}$ up 2S 1P excitations light quark diquark. The level spacings diquark found be smaller generally than that light-quark excitations, according nature adiabatic expansion dynamics.