Mass spectra of doubly heavy Omega_QQ' baryons

Abstract

In the framework of potential model with the K^2O potential motivated by QCD with a three-loop beta-function for the effective charge consistent with both the perturbative limit at short distances and linear confinement term at long distances between the quarks, we evaluate the masses of baryons composed of two heavy quarks and a strange quark with account for spin-dependent splittings. The factorization of dynamics in nonrelativistic Schroedinger equation for the motion in the system of two heavy quarks constituting the doubly heavy diquark and the strange quark interaction with the diquark is supposed and explored. The limits of approach, its justification and uncertainties are discussed. Excited quasistable states are classified by the quantum numbers of heavy diquark composed by the heavy quarks of the same flavor