# Coupling constants and the nonrelativisticv quark model with charmonium potential

## Abstract

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 themore »

- Authors:

- Publication Date:

- Research Org.:
- Research Institute for Theoretical Physics, University of Helsinki, Helsinki,Finland

- OSTI Identifier:
- 5660379

- Resource Type:
- Journal Article

- Journal Name:
- Ann. Phys. (N.Y.); (United States)

- Additional Journal Information:
- Journal Volume: 124:1

- Country of Publication:
- United States

- Language:
- English

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

### Citation Formats

```
Chaichian, M, and Koegerler, R.
```*Coupling constants and the nonrelativisticv quark model with charmonium potential*. United States: N. p., 1980.
Web. doi:10.1016/0003-4916(80)90358-9.

```
Chaichian, M, & Koegerler, R.
```*Coupling constants and the nonrelativisticv quark model with charmonium potential*. United States. doi:10.1016/0003-4916(80)90358-9.

```
Chaichian, M, and Koegerler, R. Tue .
"Coupling constants and the nonrelativisticv quark model with charmonium potential". United States. doi:10.1016/0003-4916(80)90358-9.
```

```
@article{osti_5660379,
```

title = {Coupling constants and the nonrelativisticv quark model with charmonium potential},

author = {Chaichian, M and Koegerler, R},

abstractNote = {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.},

doi = {10.1016/0003-4916(80)90358-9},

journal = {Ann. Phys. (N.Y.); (United States)},

number = ,

volume = 124:1,

place = {United States},

year = {1980},

month = {1}

}