Isospin Symmetry Breaking within the HLS Model: A Full ($\rho, \omega, \phi$) Mixing Scheme - IN2P3 - Institut national de physique nucléaire et de physique des particules Access content directly
Journal Articles European Physical Journal C: Particles and Fields Year : 2001

Isospin Symmetry Breaking within the HLS Model: A Full ($\rho, \omega, \phi$) Mixing Scheme

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 $\rho-\omg$ mixing and one finds support for the Orsay phase modelling of the $e^+e^- \ra \pi^+ \pi^-$ amplitude. We then examine an effective procedure which generates mixing in the whole $\rho$, $\omg$, $\phi$ 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 $\rho \ra \pi \pi$ and $K^* \ra K \pi$ 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.

Dates and versions

in2p3-00193443 , version 1 (03-12-2007)

Identifiers

Cite

M. Benayoun, H. B. O'Connell. Isospin Symmetry Breaking within the HLS Model: A Full ($\rho, \omega, \phi$) Mixing Scheme. European Physical Journal C: Particles and Fields, 2001, 22, pp.503-520. ⟨10.1007/s100520100806⟩. ⟨in2p3-00193443⟩
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