An. Mitra et A. Sharma, TOTAL WIDTHS OF HADRONS FROM AN INTRINSIC (QUARK LEVEL) STANDPOINT, Nuovo cimento della Società Italiana di Fisica. A. Nuclei, particles and fields, 107(11), 1994, pp. 2527-2533
The total width of a q $$($) over bar q hadron is modelled by the rate
at which it dissociates into two quasi-free quarks of momentum-depend
ent mass (m(f)) determined by 4-momentum conservation. A crucial ingre
dient in this regard is the quark's mass function for which a non-pert
urbative formula is obtained via dynamical breaking (a la NJL) of the
chiral symmetry of an input vector-exchange-like 4-fermion Lagrangian,
under the knowledge that for a chirally invariant Lagrangian this qua
ntity is also equal to the pion-quark vertex function in the chiral li
mit (M(pi) --> 0). The latter in turn is based on a Bethe-Salpeter (BS
) model with a vector-exchange-like kernel (chirally invariant) which
is precalibrated to the spectroscopy of q $$($) over bar q and qqq had
rons, and also predicts a value of [q $$($) over bar q](0) fully consi
stent with QCD sum rules. The predicted widths show a good overlap wit
h available data up to J = 5, except for local (hadronic) selection ru
les which affect at most some L less than or equal to 1 states.