Eur. Phys. J. C 22, 503-520 (2001)
DOI: 10.1007/s100520100806
Isospin symmetry breaking within the HLS Model:
A full (
,
,
) mixing scheme
M. Benayoun1, 2 and H.B. O'Connell3
1 CERN, Laboratoire Européen pour la Recherche Nucléaire, 1211 Genève 23, Switzerland
2 LPNHE des Universités Paris VI et VII-IN2P3, Paris, France
3 Stanford Linear Accelerator Center, Stanford University, Stanford, CA 94309, USA
(Received: 18 July 2001 / Revised version: 4 October 2001 / Published online: 21 November 2001 - © Springer-Verlag / Società Italiana di Fisica 2001 )
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
mixing and one
finds support for the Orsay phase modelling of the
amplitude. We then examine an effective procedure
which generates mixing in the whole
,
,
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
and
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.
© Società Italiana di Fisica, Springer-Verlag 2001