https://doi.org/10.1140/epja/s10050-023-01044-1
Regular Article –Theoretical Physics
Systematic analysis of doubly charmed baryons 
and 
1
Department of Mathematics and Physics, North China Electric Power University, 071003, Baoding, People’s Republic of China
2
School of Physics and Electronic Science, Guizhou Education University, 550018, Guiyang, People’s Republic of China
Received:
19
March
2023
Accepted:
29
May
2023
Published online:
10
June
2023
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 and . 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 
-mode is lower than those of the 
-mode and - mixing mode, which indicates that the lowest state is dominated by the -mode. According to this conclusion, we systematically investigate the mass spectra, the r.m.s. radii of the ground and excited states (
, 
, 
, 
and 
) with -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 and in the (J,
) 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.
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