Higher-order JWKB expressions for the energy levels and the wavefunction at the origin
An exact quantization condition is derived for the energy levels of a particle in a radial potential assumed finite at the origin. This is used to derive corrections to the semiclassical JWKB quantization condition. The normalization integral of the wavefunction is further related to the energy derivative of wavefunction at origin and use this expression to derive the corrections to the semiclassical JWKB expressions for the wavefunction at origin. An application to upsilon leptonic decay width is also given.
- Research Organization:
- Univ. of Texas, Austin, TX (United States). Center for Particle Theory
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AS05-76ER03992
- OSTI ID:
- 6352313
- Report Number(s):
- DOE/ER/03992-423; TRN: 81-010916
- Country of Publication:
- United States
- Language:
- English
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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
UPSILON RESONANCES
LEPTONIC DECAY
WAVE FUNCTIONS
WKB APPROXIMATION
ENERGY LEVELS
SEMICLASSICAL APPROXIMATION
BASIC INTERACTIONS
BOSONS
DECAY
ELEMENTARY PARTICLES
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WEAK INTERACTIONS
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645203* - High Energy Physics- Particle Interactions & Properties-Theoretical- Weak Interactions & Properties
UPSILON RESONANCES
LEPTONIC DECAY
WAVE FUNCTIONS
WKB APPROXIMATION
ENERGY LEVELS
SEMICLASSICAL APPROXIMATION
BASIC INTERACTIONS
BOSONS
DECAY
ELEMENTARY PARTICLES
FUNCTIONS
HADRONS
INTERACTIONS
MESON RESONANCES
MESONS
PARTICLE DECAY
RESONANCE PARTICLES
WEAK INTERACTIONS
WEAK PARTICLE DECAY
645203* - High Energy Physics- Particle Interactions & Properties-Theoretical- Weak Interactions & Properties