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Phenomenology of charmed mesons in the extended linear sigma model

  • Walaa I. EshraimEmail author
  • Francesco Giacosa
  • Dirk H. Rischke
Regular Article - Theoretical Physics

Abstract

We study the so-called extended linear sigma model for the case of four quark flavors. This model is based on global chiral symmetry and dilatation invariance and includes, besides scalar and pseudoscalar mesons, vector and axial-vector mesons. Most of the parameters of the model have been determined in previous work by fitting properties of mesons with three quark flavors. Only three new parameters, all related to the current charm quark mass, appear when introducing charmed mesons. Surprisingly, within the accuracy expected from our approach, the masses of open charmed mesons turn out to be in quantitative agreement with experimental data. On the other hand, with the exception of J/ψ, the masses of charmonia are underpredicted by about 10%. It is remarkable that our approach correctly predicts (within errors) the mass splitting between spin-0 and spin-1 negative-parity open charm states. This indicates that, although the charm quark mass breaks chiral symmetry quite strongly explicitly, this symmetry still seems to have some influence on the properties of charmed mesons.

Keywords

Decay Width Chiral Symmetry Vector Meson Charmonium State Charmed Meson 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Walaa I. Eshraim
    • 1
    Email author
  • Francesco Giacosa
    • 1
    • 2
  • Dirk H. Rischke
    • 1
  1. 1.Institute for Theoretical PhysicsGoethe UniversityFrankfurt am MainGermany
  2. 2.Institute of PhysicsJan Kochanowski UniversityKielcePoland

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