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Accuracy of analytic energy level formulas applied to hadronic spectroscopy of heavy mesons
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Wilson, John W. Norbury, John W. Townsend, Lawrence W. Badavi, Forooz F. |
| Copyright Year | 1988 |
| Description | 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. |
| File Size | 685589 |
| Page Count | 27 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19880016801 |
| Archival Resource Key | ark:/13960/t2r54hx4n |
| Language | English |
| Publisher Date | 1988-07-01 |
| Access Restriction | Open |
| Subject Keyword | Nuclear And High-energy Physics Mesons Energy Levels Energy Spectra Heavy Nuclei Particle Mass Schroedinger Equation Mathematical Models Quarks Mass Spectra Linearization Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
