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Strong decay widths and mass spectra of charmed baryons

H. García-Tecocoatzi, A. Giachino, J. Li, A. Ramirez-Morales, and E. Santopinto
Phys. Rev. D 107, 034031 – Published 27 February 2023
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  • INTRODUCTION
  • METHODOLOGY
  • PARAMETER DETERMINATION AND…
  • RESULTS AND DISCUSSION
  • COMPARISON BETWEEN THE THREE-QUARK AND…
  • CONCLUSIONS
  • ACKNOWLEDGMENTS
  • APPENDICES
    • References

    Abstract

    The total decay widths of the charmed baryons are calculated by means of the P03 model. Our calculations consider in the final states: the charmed baryon-(vector/pseudoscalar) meson pairs and the (octet/decuplet) baryon-(pseudoscalar/vector) charmed meson pairs, within a constituent quark model. Furthermore, we calculate the masses of the charmed baryon ground states and their excitations up to the D-wave in a constituent quark model both in the three-quark and in the quark-diquark schemes, utilizing a Hamiltonian model based on a harmonic oscillator potential plus a mass splitting term that encodes the spin, spin-orbit, isospin, and flavor interactions. The parameters of the Hamiltonian model are fitted to the experimental data of the charmed baryon masses and decay widths. As the experimental uncertainties of the data affect the fitted model parameters, we have thoroughly propagated these uncertainties into our predicted charmed baryon masses and decay widths via a Monte Carlo bootstrap approach, which is often absent in other theoretical studies on this subject. Our quantum number assignments and predictions of the masses and strong partial decay widths are in reasonable agreement with the available data. Thus, our results show the ability to guide future measurements in LHCb, Belle and Belle II experiments. Finally, the appendices provide some details of our calculations, in which we include the flavor coupling coefficients, which are useful for further theoretical investigations.

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    • Received 8 July 2022
    • Accepted 26 September 2022

    DOI:https://doi.org/10.1103/PhysRevD.107.034031

    Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

    Published by the American Physical Society

    Physics Subject Headings (PhySH)

    1. Research Areas
    Particle decaysStrong interaction
    1. Physical Systems
    BaryonsQuark model
    Particles & Fields

    Authors & Affiliations

    H. García-Tecocoatzi

    • Center for High Energy Physics, Kyungpook National University, 80 Daehak-ro, Daegu 41566, Korea and INFN, Sezione di Genova, Via Dodecaneso 33, 16146 Genova, Italy

    A. Giachino

    • INFN, Sezione di Genova, Via Dodecaneso 33, 16146 Genova, Italy and Institute of Nuclear Physics Polish Academy of Sciences, Radzikowskiego 152, 31-342 Cracow, Poland

    J. Li and A. Ramirez-Morales

    • Center for High Energy Physics, Kyungpook National University, 80 Daehak-ro, Daegu 41566, Korea

    E. Santopinto*

    • INFN, Sezione di Genova, Via Dodecaneso 33, 16146 Genova, Italy

    • *elena.santopinto@ge.infn.it

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    Issue

    Vol. 107, Iss. 3 — 1 February 2023

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    Images

    • Figure 1
      Figure 1

      The P03 pair-creation model (color online). The blue line 1 denotes a charm quark, while the remaining black lines denote light quarks. In diagram (a) the charmed baryon A decays to a charmed baryon B and a light meson C. In diagram (b) the charmed baryon A decays to a light baryon and a charmed meson C.

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    • Figure 1
      Figure 1

      The P03 pair-creation model (color online). The blue line 1 denotes a charm quark, while the remaining black lines denote light quarks. In diagram (a) the charmed baryon A decays to a charmed baryon B and a light meson C. In diagram (b) the charmed baryon A decays to a light baryon and a charmed meson C.

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    • Figure 2
      Figure 2

      Ωc mass spectra and tentative quantum number assignments based on the three-quark model Hamiltonian of Eqs. (1) and (2). The theoretical predictions and their uncertainties (blue lines and bands) are compared with the experimental results (red lines and bands) reported in the PDG [9]. The experimental errors are too small to be evaluated on this energy scale.

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    • Figure 2
      Figure 2

      Ωc mass spectra and tentative quantum number assignments based on the three-quark model Hamiltonian of Eqs. (1) and (2). The theoretical predictions and their uncertainties (blue lines and bands) are compared with the experimental results (red lines and bands) reported in the PDG [9]. The experimental errors are too small to be evaluated on this energy scale.

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    • Figure 3
      Figure 3

      Same as Fig. 2, but for Ξc′ states.

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    • Figure 3
      Figure 3

      Same as Fig. 2, but for Ξc′ states.

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    • Figure 4
      Figure 4

      Same as Fig. 2, but for Σc states.

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    • Figure 4
      Figure 4

      Same as Fig. 2, but for Σc states.

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    • Figure 5
      Figure 5

      Same as Fig. 2, but for Λc states.

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    • Figure 5
      Figure 5

      Same as Fig. 2, but for Λc states.

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    • Figure 6
      Figure 6

      Same as Fig. 2, but for Ξc states.

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    • Figure 7
      Figure 7

      Ωc mass spectra and tentative quantum number assignments based on the quark-diquark model Hamiltonian of Eqs. (1) and (4). The theoretical predictions and their uncertainties (blue lines and bands) are compared with the experimental results (red lines and bands) reported in the PDG [9]. The experimental errors are too small to be evaluated on this energy scale.

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    • Figure 8
      Figure 8

      Same as Fig. 7, but for Ξc′ states.

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    • Figure 9
      Figure 9

      Same as Fig. 7, but for Σc states.

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    • Figure 10
      Figure 10

      Same as Fig. 7, but for Λc states.

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    • Figure 11
      Figure 11

      Same as Fig. 7, but for Ξc states.

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