On an inclusive determination of hadronic width/mass ratios

Abstract

An inclusive determination of the (Γ/M) ratios of mesons and baryons is made from the ansatz that there exists a short breathing mode for the temporary dissociation of a hadron into a pair of "quasifree" quarks (q) and/or diquarks (D) with significantly lower masses than their constituent values which subsequently hadronize with certainty. The coupling scheme for mesons to these qq̅ and DD^∗ pairs (which yields Γ directly) is determined by Schwinger's partial symmetry for quarks (which "subsumes" the Sakurai gauge principle for ρ, ω, φ couplings to qq̅ pairs). A similar construction holds for baryon couplings to quark(q)-diquark(D) pairs, with the same overall coupling constant (g_s) for both systems. Its tentative identification with the QCD value yields a surprisingly good pattern of agreement with data for both hadron types, using just two inputs (m_udand m_s). The Γ/M ratios (R) are expressible as as(M²) f(J, M/m_q), and indicate discreteness in R iff the standard Regge slope patterns in M² are taken into account.