Advertisement

Isospin symmetry breaking within the HLS Model: A full (\(\rho, \omega, \phi\)) mixing scheme

  • M. Benayoun
  • H.B. O'Connell
Theoretical physics

Abstract.

We study the way isospin symmetry violation can be generated within the Hidden Local Symmetry (HLS) Model. We show that isospin symmetry breaking effects on pseudoscalar mesons naturally induces correspondingly effects within the physics of vector mesons, through kaon loops. In this way, one recovers all features traditionally expected from \(\rho-\omega\) mixing and one finds support for the Orsay phase modelling of the \(e^+e^- \rightarrow \pi^+ \pi^-\) amplitude. We then examine an effective procedure which generates mixing in the whole \(\rho, \omega, \phi\) sector of the HLS Model. The corresponding model allows us to account for all two body decays of light mesons accessible to the HLS model in modulus and phase, leaving aside the \(\rho \rightarrow \pi \pi\) and \(K^* \rightarrow K \pi\) modes only, which raise a specific problem. Comparison with experimental data is performed and covers modulus and phase information; this represents 26 physics quantities successfully described with very good fit quality within a constrained model which accounts for SU(3) breaking, nonet symmetry breaking in the pseudoscalar sector and, now, isospin symmetry breaking.

Keywords

Symmetry Breaking Vector Meson Pseudoscalar Meson Light Meson Breaking Effect 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg / Società Italiana di Fisica 2001

Authors and Affiliations

  • M. Benayoun
    • 1
  • H.B. O'Connell
    • 2
  1. 1.CERN, Laboratoire Européen pour la Recherche Nucléaire, 1211 Genève 23, SwitzerlandCH
  2. 2.Stanford Linear Accelerator Center, Stanford University, Stanford, CA 94309, USAUS

Personalised recommendations