| Abstract: | Mass spectra and wave functions of the doubly heavy baryons are computed assuming that the two heavy quarks inside a baryon form a compact heavy 'diquark core' in a color anti-triplet,and bind with the remaining light quark into a colorless baryon.The two reduced two-body problems are described by the relativistic Bethe-Salpeter equations(BSEs) with the relevant QCD inspired kernels.We focus on the doubly heavy baryons with 1~+ heavy diquark cores.After solving BSEs in the instantaneous approximation,we present the mass spectra and the relativistic wave functions of the diquark cores,and of the low-lying baryon states J~P=(1/2)~+ and(3/2)~+ with flavors(ccq)(bcq)and(bbq).A comparison with other approaches is also made. |
