Abstract
The unequal-quark-mass problem of excited and states is treated through a multichannel generalization of a relativistic Bethe-Salpeter treatment of the simpler (equal-mass) problem of and as well as meson states recently found to give excellent fits to the corresponding spectra. The present fits to the and masses are fully in tune with the quality of the and results, as evidenced by the highly consistent values of the appropriate universal function representing the central for each supermultiplet, calculated with the same reduced spring constant and quark masses as employed earlier for , , and meson states. These values now include the one-gluon-exchange corrections which help in improving the regularities over the pure harmonic-oscillator prediction. The representation also brings out rather succinctly a modest symmetry-breaking trend (∼5-10%) at the collective supermultiplet level with little scatter among individual members.
- Received 16 February 1982
DOI:https://doi.org/10.1103/PhysRevD.26.3131
©1982 American Physical Society