The nature of the lightest scalar meson, its N_c behaviour and semi-local duality

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One-loop unitarized Chiral Perturbation Theory (UChPT) calculations, suggest a different N{sub c} behaviour for the {sigma} or f{sub 0}(600) and {rho}(770) mesons: while the {rho} meson becomes narrower with N{sub c}, as expected for a {bar q}q meson, the f{sub 0}(600) contribution to the total cross section below 1 GeV becomes less and less important. Here we review our recent work where we have shown, by means of finite energy sum rules, that a different N{sub c} behavior for these resonances may lead to a conflict with semi-local duality for large N{sub c}, since local duality requires a cancellation between ... continued below

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JR Pelaez, MR Pennington, J Ruiz de Elvira, DJ Wilson December 1, 2011.

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One-loop unitarized Chiral Perturbation Theory (UChPT) calculations, suggest a different N{sub c} behaviour for the {sigma} or f{sub 0}(600) and {rho}(770) mesons: while the {rho} meson becomes narrower with N{sub c}, as expected for a {bar q}q meson, the f{sub 0}(600) contribution to the total cross section below 1 GeV becomes less and less important. Here we review our recent work where we have shown, by means of finite energy sum rules, that a different N{sub c} behavior for these resonances may lead to a conflict with semi-local duality for large N{sub c}, since local duality requires a cancellation between the f{sub 0}(600) and {rho}(770) amplitudes. However, UChPT calculations also suggest a subdominant {bar q}q component for the f{sub 0}(600) with a mass above 1 GeV and this can restore semi-local duality, as we show.

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  • Hadron 2011, 13-17 Jun 2011, Kunstlerhaus, Munich, Germany

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  • Report No.: JLAB-THY-11-1429
  • Report No.: DOE/OR/23177-1836
  • Report No.: arXiv:1109.2392
  • Grant Number: AC05-06OR23177
  • Office of Scientific & Technical Information Report Number: 1041550
  • Archival Resource Key: ark:/67531/metadc841507

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Office of Scientific & Technical Information Technical Reports

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  • December 1, 2011

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  • May 19, 2016, 3:16 p.m.

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  • Aug. 3, 2016, 4:08 p.m.

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JR Pelaez, MR Pennington, J Ruiz de Elvira, DJ Wilson. The nature of the lightest scalar meson, its N_c behaviour and semi-local duality, article, December 1, 2011; Newport News, Virginia. (digital.library.unt.edu/ark:/67531/metadc841507/: accessed July 19, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.