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Strange-baryon spectroscopy through Bethe-Salpeter approach under harmonic confinement

Journal Article · · Phys. Rev. D; (United States)
The unequal-quark-mass problem of excited ..lambda.. and ..sigma.. states is treated through a multichannel generalization of a relativistic Bethe-Salpeter treatment of the simpler (equal-mass) problem of N and ..delta.. as well as meson states recently found to give excellent fits to the corresponding spectra. The present fits to the ..lambda.. and ..sigma.. masses are fully in tune with the quality of the N/sub L/, and ..delta../sub L/ results, as evidenced by the highly consistent values of the appropriate universal function F(M) representing the central (mass)/sup 2/ for each N supermultiplet, calculated with the same reduced spring constant and quark masses as employed earlier for N/sub L/, ..delta../sub L/, and meson states. These F(M) values now include the one-gluon-exchange corrections which help in improving the F(M) regularities over the pure harmonic-oscillator prediction. The F(M) representation also brings out rather succintly a modest symmetry-breaking trend (approx.5--10 %) at the collective supermultiplet level with little scatter among individual members.
Research Organization:
Department of Physics, University of Delhi, Delhi 110007, India
OSTI ID:
6790914
Journal Information:
Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 26:11; ISSN PRVDA
Country of Publication:
United States
Language:
English