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A Minimal Dynamical Scheme for “Understanding” Hadronic Widths
Author(s) -
Mitra A. N.,
Sharma Anju
Publication year - 1997
Publication title -
fortschritte der physik/progress of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.2190450504
Subject(s) - physics , particle physics , baryon , diquark , hadron , quark , meson , isospin , nuclear physics , quark model , quarkonium
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 ( m ud and m s ) as inputs, with the corresponding diquark masses determined additively.