General parametrization of the V r arrow P. gamma. meson decays

Journal Article · Sat Sep 01 04:00:00 EDT 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.42.1497· OSTI ID:6478544

Morpurgo, G ^[1]

---

1. Istituto di Fisica dell'Universita, Genova (Italy) Istituto Nazionale di Fisica Nucleare (INFN), Genova (Italy)

We apply the general parametrization method (Phys. Rev. D 40, 2997 (1989)) to the radiative decays of the light vector mesons. The ratios {Gamma}({omega}{r arrow}{pi}{gamma})/{Gamma}({rho}{r arrow}{pi}{gamma}) and {Gamma}({eta}{prime}{r arrow}{rho}{gamma})/{Gamma}({eta}{prime}{r arrow}{omega}{gamma}), corrected for the difference in momenta, are predicted to be 9 (to all orders in flavor breaking) plus possible contributions from gluon annihilation diagrams. So far there is no evidence (inside {plus minus}15% errors) for gluon effects in the above ratios; {phi}{r arrow}{pi}{sup 0}{gamma} leads to the same conclusion. We show that if the gluon diagrams are indeed negligible, the parametrization of the {ital V}{r arrow}{ital P}{gamma} decays (which is exact and thus includes automatically configuration mixing and all the complexities of the Fock expansion of the hadron states) coincides with the results of the nonrelativistic quark model (NRQM); this clarifies again why the NRQM works, independently of the internal {ital v}/{ital c} of the quarks. Another NRQM result shown here to be exact (to second order in flavor breaking) is {ital A}({ital K}{sup *0}{r arrow}{ital K}{sup 0}{gamma})/{ital A}({ital K}{sup *+}{r arrow}{ital K}{sup +}{gamma})={minus}(1+{ital x})/(2{minus}{ital x}) (with {ital x}={mu}{sub {lambda}}/{mu}{sub {ital s}{ital c}{ital r}{ital N}}) for the {gamma}=decay amplitudes of {ital K}{sup *0} and {ital K}{sup *+} (in this case the gluon diagrams are absent).

• OSTI ID: 6478544
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 42:5; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645202* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANNIHILATION
BASIC INTERACTIONS
BOSONS
COMPOSITE MODELS
EIGENVALUES
ELECTROMAGNETIC INTERACTIONS
ELEMENTARY PARTICLES
FIELD THEORIES
FLAVOR MODEL
GLUONS
HADRONS
INTERACTIONS
INVARIANCE PRINCIPLES
KAONS
KAONS NEUTRAL
KAONS PLUS
LORENTZ INVARIANCE
MATHEMATICAL MODELS
MESONS
PARTICLE MODELS
POSTULATED PARTICLES
PSEUDOSCALAR MESONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
RADIATIVE DECAY
STRANGE MESONS
STRANGE PARTICLES
VECTOR MESONS