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Systematic analysis of doubly charmed baryons \(\Xi _{cc}\) and \(\Omega _{cc}\)

  • Regular Article –Theoretical Physics
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Abstract

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 \(\Xi _{cc}\) and \(\Omega _{cc}\). 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 \(\rho \)-mode is lower than those of the \(\lambda \)-mode and \(\lambda \)-\(\rho \) mixing mode, which indicates that the lowest state is dominated by the \(\rho \)-mode. According to this conclusion, we systematically investigate the mass spectra, the r.m.s. radii of the ground and excited states (\(1S\sim 4S\), \(1P\sim 4P\), \(1D\sim 4D\), \(1F\sim 4F\) and \(1G\sim 4G\)) with \(\rho \)-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 \(\Xi _{cc}\) and \(\Omega _{cc}\) 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.

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This manuscript has no associated data or the data will not be deposited. [Authors’ comment: Data is available upon request from the Authors.]

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Acknowledgements

This project is supported by National Natural Science Foundation, Grant Number 12175068 and Natural Science Foundation of HeBei Province, Grant Number A2018502124.

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Authors and Affiliations

  1. Department of Mathematics and Physics, North China Electric Power University, Baoding, 071003, People’s Republic of China

    Guo-Liang Yu, Yan Meng, Zhi-Gang Wang & Lu Jie

  2. School of Physics and Electronic Science, Guizhou Education University, Guiyang, 550018, People’s Republic of China

    Zhen-Yu Li

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  1. Guo-Liang Yu
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Correspondence to Guo-Liang Yu.

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Communicated by Eulogio Oset.

Appendix A: Masses and r.m.s. radii of the \(\Xi _{cc}\) and \(\Omega _{cc}\) heavy baryons

Appendix A: Masses and r.m.s. radii of the \(\Xi _{cc}\) and \(\Omega _{cc}\) heavy baryons

Table 4 Masses (in MeV) and r.m.s. radii (in fm) of the \(\Omega _{cc}\) heavy baryons
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Yu, GL., Meng, Y., Li, ZY. et al. Systematic analysis of doubly charmed baryons \(\Xi _{cc}\) and \(\Omega _{cc}\). Eur. Phys. J. A 59, 126 (2023). https://doi.org/10.1140/epja/s10050-023-01044-1

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  • DOI: https://doi.org/10.1140/epja/s10050-023-01044-1

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