Are three flavors special?

Journal Article · Tue Feb 01 04:00:00 EST 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.034018· OSTI ID:21504878

Fariborz, Amir H ^[1]; Jora, Renata ^[2]; Schechter, Joseph; Shahid, M Naeem ^[3]

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1. Department of Engineering, Science and Mathematics, State University of New York Institute of Technology, Utica, New York 13504-3050 (United States)
2. Grup de Fisica Teorica and IFAE, Universitat Autonoma de Barcelona, E-08193 Bellaterra (Barcelona) (Spain)
3. Department of Physics, Syracuse University, Syracuse, New York 13244-1130 (United States)

It has become clearer recently that the regular pattern of three flavor nonets describing the low spin meson multiplets seems to require some modification for the case of the spin 0 scalar mesons. One picture, which has had some success, treats the scalars in a chiral Lagrangian framework and considers them to populate two nonets. These are, in turn, taken to result from the mixing of two ''bare'' nonets, one of which is of quark-antiquark type and the other of two-quark-two-antiquark type. Here we show that such a mixing is, before chiral symmetry breaking terms are included, only possible for three flavors. In other cases, the two types of structure cannot have the same chiral symmetry transformation property. Specifically, our criterion would lead one to believe that scalar and pseudoscalar states containing charm would not have ''four quark'' admixtures. This work is of potential interest for constructing chiral Lagrangians based on exact chiral symmetry which is then broken by well-known specific terms. It may also be of interest in studying some kinds of technicolor theories.

• OSTI ID: 21504878
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 3 Vol. 83; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
ANTIMATTER
ANTIPARTICLES
ANTIQUARKS
BOSONS
CHIRAL SYMMETRY
CHIRALITY
COMPOSITE MODELS
ELEMENTARY PARTICLES
FERMIONS
FLAVOR MODEL
FUNCTIONS
HADRONS
INTERACTIONS
LAGRANGIAN FUNCTION
MATHEMATICAL MODELS
MATTER
MESONS
MIXING
MODIFICATIONS
MULTIPLETS
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PROPERTIES
QUARK MODEL
QUARK-ANTIQUARK INTERACTIONS
QUARKS
SCALAR MESONS
SPIN
SYMMETRY
SYMMETRY BREAKING
TRANSFORMATIONS