Hadronic resonance spectrum may help in resolution of meson nonet enigmas

Abstract

The identification of problematic meson states as the members of the quark model qq nonets by using a hadronic resonance spectrum is discussed. The results favor the currently adopted qq assignments for the axial-vector, tensor, and 1 3 F 4 J P C = 4 ++ meson nonets, and suggest a new qq assignment for the * Bitnet: BURAKOV@QCD.LANL.GOV

Gell-Mann-Okubo mass formula forSU (4) meson hexadecuplet

“…6 This is also true for qq assignment of the scalar meson nonet suggested by the authors in ref. [14]. Evidently, one may choose an opposite way, viz., starting from a linear spectrum as the actual spectrum of a nonet, to derive the Gell-Mann-Okubo mass formula.…”

Scalar glueball mass in Regge phenomenology

“…Therefore, it is not clear how well would the resonance spectrum be suitable for the description of the pseudoscalar mesons. Indeed, as we have tested in [15], this nonet is not described by the resonance spectrum. Moreover, pseudoscalar mesons are extrimely narrow (zero width) states to fit into a resonance description.…”

On the thermodynamics of hot hadronic matter

“…In ref. [33] we have applied a linear spectrum to the problem of establishing the correct q q assignment for the problematic meson nonets, like the scalar, axial-vector and tensor ones, and separating out non-q q mesons. In this paper we shall apply a resonance spectrum to the derivation of the thermodynamic characteristics of hot hadronic matter.…”

“…The masses up to 1.25 GeV have the members of the pseudoscalar and vector meson nonets, and the h 1 (1170), b 1 (1235) and a 1 (1260) mesons, the mass of the latter was indicated by the recent Particle Data Group as 1.23 GeV [37]. We do not include the scalar mesons a 0 (980) and f 0 (980) which seem to be non-q q objects [33], but may include the f 0 (1300) meson which has the mass lying in the interval 1 − 1.5 GeV, according to the recent Particle Data Group. Thus, we have 9+27+1+9+9+1=56 actual mesonic species having the masses up to 1.25 GeV, in excellent agreement with (23).…”