Flavor mixing and the eigenstates of the weak interactions

Journal Article · Wed May 01 04:00:00 EDT 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.43.3026· OSTI ID:5592968

Fritzsch, H ^[1]; Plankl, J ^[2]

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1. CERN, Geneva, Switzerland and Sektion Physik der Universitaet Muenchen, Theresienstrasse 37, D-8000 Muenchen 2, Germany (CH)
2. Sektion Physik der Universitaet Muenchen, Theresienstrasse 37, D-8000 Muenchen 2, (Germany)

The quark mixing matrix for two and three families is diagonalized. Weak eigenstates are defined in an unambiguous way based on the eigenvalues of the Cabibbo-Kobayashi-Maskawa matrix. For the real 3{times}3 mixing matrix a geometrical interpretation of flavor mixing is given, and it is argued that in the complex case such an interpretation is not possible. Furthermore, if the third generation decouples, we get democratic mass matrices in terms of the weak eigenstates for the first two families. There are indications that the Cabibbo mixing is different in character from the mixings of the third generation with the other ones.

• OSTI ID: 5592968
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 43:9; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645203* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Weak Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
BOSONS
CABIBBO ANGLE
COMPOSITE MODELS
EIGENSTATES
FIELD THEORIES
FLAVOR MODEL
INTERACTIONS
KOBAYASHI-MASKAWA MATRIX
MASS SPECTRA
MATHEMATICAL MODELS
MATRICES
PARTICLE MODELS
QUARK MODEL
SPECTRA
UNIFIED-FIELD THEORIES
WEAK INTERACTIONS