Masses of light and heavy mesons and baryons: A unified picture

L. X. Gutiérrez-Guerrero, Adnan Bashir, Marco A. Bedolla, and E. Santopinto
Phys. Rev. D 100, 114032 – Published 20 December 2019

Abstract

We compute masses of positive-parity spin-1/2 and -3/2 baryons composed of u, d, s, c and b quarks in a quark-diquark picture. The mathematical foundation for this analysis is implemented through a symmetry-preserving Schwinger-Dyson equations treatment of a vector-vector contact interaction, which preserves key features of quantum chromodynamics, such as confinement, chiral symmetry breaking and low-energy Goldberger-Treiman relations. This study requires a computation of diquark correlations containing these quarks which in turn are readily inferred from solving the Bethe-Salpeter equations of the corresponding mesons. Therefore, it serves as a unified formalism for a multitude of mesons and baryons. It builds on our previous works on the study of masses, decay constants and form factors of quarkonia and light mesons, employing the same model. We use two sets of parameters, one which remains exactly the same for both the light and heavy sector hadrons, and another where the coupling strength is allowed to evolve according to the available mass scales of quarks. Our results are in very good agreement with the existing experimental data as well as predictions of other theoretical approaches whenever comparison is possible.

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  • Received 8 October 2019

DOI:https://doi.org/10.1103/PhysRevD.100.114032

© 2019 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
  1. Physical Systems
Particles & Fields

Authors & Affiliations

L. X. Gutiérrez-Guerrero1, Adnan Bashir2, Marco A. Bedolla3,4, and E. Santopinto4

  • 1CONACyT-Mesoamerican Centre for Theoretical Physics, Universidad Autónoma de Chiapas, Carretera Zapata Km. 4, Real del Bosque (Terán), Tuxtla Gutiérrez 29040, Chiapas, México
  • 2Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Edificio C-3, Ciudad Universitaria, C.P. 58040, Morelia, Michoacán, México
  • 3Mesoamerican Centre for Theoretical Physics, Universidad Autónoma de Chiapas, Carretera Zapata Km. 4, Real del Bosque (Terán), Tuxtla Gutiérrez 29040, Chiapas, México
  • 4Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Genova, via Dodecaneso 33, 16146 Genova, Italia

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Issue

Vol. 100, Iss. 11 — 1 December 2019

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