Systematic analysis of doubly charmed baryons Ξ _cc and Ω _cc

In this work, we perform a systematic study of the mass spectra, the root mean square (r.m.s.) radii and the radial density distributions of the doubly charmed baryons Ξ _cc and Ω _cc . The calculations are carried out in the frame work of relativized quark model, where the baryon is regarded as a three-body system of quarks. Our results show that the excited energy of doubly charmed baryon with ρ -mode is lower than those of the λ -mode and λ - ρ mixing mode, which indicates that the lowest state is dominated by the ρ -mode. According to this conclusion, we systematically investigate the mass spectra, the r.m.s. radii of the ground and excited states ( 1S∼ 4S , 1P∼ 4P , 1D∼ 4D , 1F∼ 4F and 1G∼ 4G ) with ρ -mode. Using the wave functions obtained from quark model, we also study the radial density distributions. Finally, with the predicated mass spectra, the Regge trajectories of Ξ _cc and Ω _cc in the ( J , M^2 ) plane are constructed, and the slopes, intercepts are determined by linear fitting. It is found that model predicted masses fit nicely to the constructed Regge trajectories.