Coupling constants and the nonrelativisticv quark model with charmonium potential

Journal Article · Tue Jan 01 04:00:00 EST 1980 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(80)90358-9· OSTI ID:5660379

Chaichian, M; Koegerler, R

Hadronic coupling constants of the vertices including charm mesons are calculated in a nonrelativistic quark model. The wave functions of the mesons which enter the corresponding overlap integrals are obtained from the charmonium picture as quark-antiquark bound state solutions of the Schroedinger equation. The model for the vertices takes into account in a dynamical way the SU/sub 4/ breakings through different masses of quarks and different wave functions in the overlap integrals. All hadronic vertices involving scalar, pseudoscalar, vector, pseudovector and tensor mesons are calculated up to an overall normalization constant. Regularities among the couplings of mesons and their radial excitations are observed: (i) Couplings decrease with increasing order of radial excitations; (ii) in general they change sign if a particle is replaced by its next radial excitation. The k-dependence of the vertices is studied. This has potential importance in explaining the unorthodox ratios in different decay channels (e.g. DD-bar, DD-bar*, D*D-bar*). Having got the hadronic couplings radiative transitions are obtained with the current coupled to mesons and their recurrences. The resulting width values are smaller than those conventionally obtained in the naive quark model. The whole picture is only adequate for nonrelativistic configurations, as for the members of the charmonium- or of the 4U-family and most calculations have been done for transitions among charmed states. To see how far nonrelativistic concepts can be applied, couplings of light mesons are also considered.

• Research Organization: Research Institute for Theoretical Physics, University of Helsinki, Helsinki,Finland
• OSTI ID: 5660379
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 124:1; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

645201 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CHARM PARTICLES
CHARMED MESON RESONANCES
CHARMONIUM
COMPOSITE MODELS
COUPLING CONSTANTS
DECAY
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC PARTICLE DECAY
ELEMENTARY PARTICLES
ENERGY
EQUATIONS
FIELD THEORIES
FUNCTIONS
HADRONS
LAGRANGIAN FUNCTION
MATHEMATICAL MODELS
MESON RESONANCES
MESONS
PARTICLE DECAY
PARTICLE MODELS
POSTULATED PARTICLES
POTENTIAL ENERGY
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
RADIATIVE DECAY
RESONANCE PARTICLES
SCHROEDINGER EQUATION
SYMMETRY BREAKING
WAVE EQUATIONS
WAVE FUNCTIONS
WEAK PARTICLE DECAY