Hoelder Inequalities and Isospin Splitting of the Quark Scalar Mesons

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dc.creatorShi, Fang
dc.creatorSteele, T. G.
dc.creatorElias, V.
dc.creatorSprague, K. B.
dc.creatorXue, Ying
dc.creatorFariborz, A. H.
dc.date1999-09-22
dc.date2000-01-14
dc.date.accessioned2026-07-07T10:33:57Z
dc.date.available2026-07-07T10:33:57Z
dc.descriptionA Hoelder inequality analysis of the QCD Laplace sum-rule which probes the non-strange (n\bar n) components of the I={0,1} (light-quark) scalar mesons supports the methodological consistency of an effective continuum contribution from instanton effects. This revised formulation enhances the magnitude of the instanton contributions which split the degeneracy between the I=0 and I=1 channels. Despite this enhanced isospin splitting effect, analysis of the Laplace and finite-energy sum-rules seems to preclude identification of a_0(980) and a light broad sigma-resonance state as the lightest isovector and isoscalar spin-zero $n\bar n$ mesons. This apparent decoupling of sigma [\equiv f_0(400-1200)] and a_0(980) from the quark n\bar n scalar currents suggests either a non-q \bar q or a dominantly s\bar s interpretation of these resonances, and further suggests the possible identification of the f_0(980) and a_0(1450) as the lightest I={0,1} scalar mesons containing a substantial n\bar n component.
dc.description28 pages, latex2e, 10 embedded eps figues. Analysis extended
dc.identifierhttps://arxiv.org/abs/hep-ph/9909475
dc.identifierhttp://arxiv.org/abs/hep-ph/9909475
dc.identifierNucl.Phys.A671:416-446,2000
dc.identifierdoi:10.1016/S0375-9474(99)00837-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/179307
dc.subjectHigh Energy Physics - Phenomenology
dc.titleHoelder Inequalities and Isospin Splitting of the Quark Scalar Mesons
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