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Analytical Determination of Mass and Magnetic Moment of Baryons in Diquark Model

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A Correction to this article was published on 29 September 2023

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Abstract

So far, many constituent quark models have been applied to describe the internal configuration of light and heavy baryons and also for determining their static properties Among all static quantities, the mass and the magnetic moment of baryons are the most interesting observables which provide direct information on the dynamics of strong interaction and color confinement phenomenon. In this work, through the quark–diquark model we analytically compute the mass and the magnetic moment of light and heavy baryons in their ground state. To this aim, we use the Bethe–Salpeter equation in the presence of Hellmann potential with the onepionexchange contribution to determine the mass and the wave function of baryons. Using the spin-flavor structure of constituent quarks we calculate the magnetic moment of light, single and double heavy baryons and compare them with existing data and other modeldependent predictions. We will also predict the mass and the magnetic moment of unobserved triply heavy baryons relevant for the present and future high energy colliders.

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Author information

Authors and Affiliations

  1. Department of Physics, Payame Noor University (PNU), P.O. Box 19395-4697, Tehran, Iran

    Mansour Farhadi

  2. Faculty of Physics, Yazd University, P.O. Box 89195-741, Yazd, Iran

    S. Mohammad Moosavi Nejad & A. Armat

Authors
  1. Mansour Farhadi
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  2. S. Mohammad Moosavi Nejad
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  3. A. Armat
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Contributions

MF, SMM wrote the text of the original manuscript and prepared the tables, and AA performed the calculations. All authors reviewed the manuscript.

Corresponding author

Correspondence to A. Armat.

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The authors declare no competing interests.

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The original online version of this article was revised: Affiliation of author S. Mohammad Moosavi Nejad corrected.

Appendix

Appendix

In this section, the spin-flavor combinations and their wave functions related to the spin-1/2 and spin-3/2 baryons, used in Eq. (17), are given (Tables 9, 10, 11 and 12).

Table 9 Spin-flavor wave functions of heavy flavor baryons with \({\textrm{J}}^{\textrm{p}}=(1/2)^{+}\)
Full size table
Table 10 Spin-flavor wave functions of heavy flavor baryons with \({\hbox {J}}^{\textrm{p}}=(3/2)^{+}\)
Full size table
Table 11 Spin-flavor wave functions of light flavor baryons with \({\textrm{J}}^{\textrm{p}}=(1/2)^{+}\)
Full size table
Table 12 Spin-flavor wave functions of light flavor baryons with \(\textrm{J}^{\textrm{p}}=(3/2)^{+}\)
Full size table

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Farhadi, M., Moosavi Nejad, S.M. & Armat, A. Analytical Determination of Mass and Magnetic Moment of Baryons in Diquark Model. Few-Body Syst 64, 75 (2023). https://doi.org/10.1007/s00601-023-01854-5

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