Accuracy of analytic energy level formulas applied to hadronic spectroscopy of heavy mesons
Linear and harmonic potential models are used in the nonrelativistic Schroedinger equation to obtain article mass spectra for mesons as bound states of quarks. The main emphasis is on the linear potential where exact solutions of the S-state eigenvalues and eigenfunctions and the asymptotic solution for the higher order partial wave are obtained. A study of the accuracy of two analytical energy level formulas as applied to heavy mesons is also included. Cornwall's formula is found to be particularly accurate and useful as a predictor of heavy quarkonium states. Exact solution for all partial waves of eigenvalues and eigenfunctions for a harmonic potential is also obtained and compared with the calculated discrete spectra of the linear potential. Detailed derivations of the eigenvalues and eigenfunctions of the linear and harmonic potentials are presented in appendixes.
- Research Organization:
- National Aeronautics and Space Administration, Hampton, VA (USA). Langley Research Center
- OSTI ID:
- 6751873
- Report Number(s):
- N-88-26185; NASA-TM-4042; L-16434; NAS-1.15:4042; TRN: 88-035829
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
MESONS
ENERGY LEVELS
MASS SPECTRA
POTENTIALS
EIGENFUNCTIONS
EIGENVALUES
ENERGY SPECTRA
HEAVY NUCLEI
MATHEMATICAL MODELS
QUARKS
SCHROEDINGER EQUATION
THEORETICAL DATA
BOSONS
DATA
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FUNCTIONS
HADRONS
INFORMATION
NUCLEI
NUMERICAL DATA
PARTIAL DIFFERENTIAL EQUATIONS
POSTULATED PARTICLES
SPECTRA
WAVE EQUATIONS
645201* - High Energy Physics- Particle Interactions & Properties-Theoretical- General & Scattering Theory