# Quantum mechanics with applications to quarkonium. [Review, WKB approximation, scale invariance]

## Abstract

Some methods of nonrelativistic quantum mechanics which are particularly useful for studying the variation of bound-state parameters with constituent mass and excitation energy are reviewed. These techniques rely upon elementary scaling arguments and on the semiclassical (WKB) approximation. They are of general interest, but are applied here to the study of bound systems of a heavy quark and antiquark. Properties of the interquark interaction are extracted from information about masses and leptonic widths of the Psi and T families. It is shown how general methods can be applied to the determination of the electric charge of quarks and to the prediction of properties of new families. 113 references.

- Authors:

- Publication Date:

- Research Org.:
- Minnesota Univ., Minneapolis (USA). School of Physics and Astronomy; Fermi National Accelerator Lab., Batavia, IL (USA)

- OSTI Identifier:
- 5896177

- Report Number(s):
- COO-1764-360

TRN: 79-021057

- DOE Contract Number:
- EY-76-C-02-1764

- Resource Type:
- Technical Report

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; QUANTUM MECHANICS; BOUND STATE; QUARKS; ELECTRIC CHARGES; ENERGY DEPENDENCE; MASS; PARTICLE WIDTHS; PSI RESONANCES; QUARK-ANTIQUARK INTERACTIONS; REVIEWS; SCALE INVARIANCE; UPSILON RESONANCES; WKB APPROXIMATION; BOSONS; DOCUMENT TYPES; ELEMENTARY PARTICLES; HADRONS; INTERACTIONS; INVARIANCE PRINCIPLES; MECHANICS; MESON RESONANCES; MESONS; PARTICLE INTERACTIONS; PARTICLE PROPERTIES; POSTULATED PARTICLES; RESONANCE PARTICLES; VECTOR MESONS; 645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties; 657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics; 645202 - High Energy Physics- Particle Interactions & Properties-Theoretical- Electromagnetic Interactions & Properties

### Citation Formats

```
Quigg, C., and Rosner, J.L.
```*Quantum mechanics with applications to quarkonium. [Review, WKB approximation, scale invariance]*. United States: N. p., 1979.
Web. doi:10.2172/5896177.

```
Quigg, C., & Rosner, J.L.
```*Quantum mechanics with applications to quarkonium. [Review, WKB approximation, scale invariance]*. United States. doi:10.2172/5896177.

```
Quigg, C., and Rosner, J.L. Thu .
"Quantum mechanics with applications to quarkonium. [Review, WKB approximation, scale invariance]". United States. doi:10.2172/5896177. https://www.osti.gov/servlets/purl/5896177.
```

```
@article{osti_5896177,
```

title = {Quantum mechanics with applications to quarkonium. [Review, WKB approximation, scale invariance]},

author = {Quigg, C. and Rosner, J.L.},

abstractNote = {Some methods of nonrelativistic quantum mechanics which are particularly useful for studying the variation of bound-state parameters with constituent mass and excitation energy are reviewed. These techniques rely upon elementary scaling arguments and on the semiclassical (WKB) approximation. They are of general interest, but are applied here to the study of bound systems of a heavy quark and antiquark. Properties of the interquark interaction are extracted from information about masses and leptonic widths of the Psi and T families. It is shown how general methods can be applied to the determination of the electric charge of quarks and to the prediction of properties of new families. 113 references.},

doi = {10.2172/5896177},

journal = {},

number = ,

volume = ,

place = {United States},

year = {1979},

month = {2}

}

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