A minimal dynamical scheme for "understanding" hadronic widths

Abstract

Using a quark model scheme of 'least Dynamics', an inclusive determination of the total widths of mesons and baryons is proposed via the following mechanism: There exists a short (breathing) mode for the temporary dissociation of a hadron into a pair of "qausi-free" quarks and/or diquarks which eventually hadronize with certainty, so that the requisite widths correspond to this "first stage" dissociation itself. A detailed model (described elsewhere) based on the momentum dependence of the quark's mass function m(p) suggests a significant mass reduction of these quasi-free quarks w.r.t their "constituent" values m(O). Using this logic, a phenomenological coupling scheme for the meson-(quasifree)quark-vertex function is derived from Schwinger's Partial (broken chiral). Symmetry which incorporates the conservation of isospin, baryonic charge and hypercharge with respective 'gauge mesons' rho, omega, phi. A very similar structure is found for baryon couplings to quark (q)-diquark (D) pairs, with the same overall coupling constant (gs) for both systems. Its tentative identification with the QCD value yields a surprisingly good pattern of agreement with data for both hadron types, using two "quasi-free" masses (mud and ms) as inputs, with the corresponding diquark masses determined additively.