Bethe-Salpeter treatment of Λ, ∑ resonances under harmonic confinement

Abstract

The unequal-quark-mass problem of excited Λ, ∑ states is treated through a multichannel generalization of a relativistic Bethe-Salpeter treatment of the simpler (equal mass) problem of N, Λ as well as meson states, recently found to give excellent fits to the corresponding spectra. The present fits to the Λ, ∑ masses are fully in tune with the quality of the N_L, Λ_L results, as evidenced by the highly consistent values of the appropriate universal function F(M) representing the central (mass)² for each N-supermultiplet, calculated with the same reduced spring constant and quark masses as employed earlier for N_L, Λ_L and meson states.