Null-plane formulation of Bethe-Salpeter qqq dynamics: Baryon mass Spectra

Kulshreshtha, D. S. ; Mitra, A. N. (1988) Null-plane formulation of Bethe-Salpeter qqq dynamics: Baryon mass Spectra Physical Review D - Particles, Fields, Gravitation and Cosmology, 37 (5). pp. 1268-1278. ISSN 1550-7998

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The Bethe-Salpeter (BS) equation for a qqq system is formulated in the null-plane approximation (NPA) for the BS wave function, as a direct generalization of a corresponding QCD-motivated formalism developed earlier for qq̅ systems. The confinement kernel is assumed vector type (γμ(1)γμ(2)) for both qq̅ and qq pairs, with identical harmonic structures, and with the spring constant proportional, among other things, to the running coupling constant αs (for an explicit QCD motivation). The harmonic kernel is given a suitable Lorentz-invariant definition [not □2δ4(q)] , which is amenable to NPA reduction in a covariant form. The reduced qqq equation in NPA is solved algebraically in a six-dimensional harmonic-oscillator (HO) basis, using the techniques of SO(2,1) algebra interlinked with S3 symmetry. The results on the nonstrange baryon mass spectra agree well with the data all the way up to N=6, thus confirming the asymptotic prediction M˜N2/3 characteristic of vector confinement in HO form. There are no extra parameters beyond the three basic constants (ω0, C0, mud) which were earlier found to provide excellent fits to meson spectra (qq̅).

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Deposited On:09 Apr 2011 07:58
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