4.7 Article

Meson resonances at large NC: Complex poles vs Breit-Wigner masses

Journal

PHYSICS LETTERS B
Volume 679, Issue 5, Pages 449-453

Publisher

ELSEVIER
DOI: 10.1016/j.physletb.2009.08.021

Keywords

Chiral symmetry; Large N-C; Unitarization; Resonances; Scalar meson

Funding

  1. DGI
  2. FEDER [FIS2008-01143/FIS]
  3. Spanish Consolider-Ingenio [CSD2007-00042]
  4. Junta de Andalucia [FQM0225]
  5. European Community [227431]
  6. EU Human Resources and Mobility Activity FLAVIAnet [MRTN-CT-2006-035482]

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The rigorous quantum mechanical definition of a resonance requires determining the pole position in the second Riemann sheet of the analytically continued partial wave scattering amplitude in the complex Mandelstam s variable plane. For meson resonances we investigate the alternative Breit-Wigner (BW) definition within the large N-C expansion. By assuming that the pole position is O(N-C(0)) and exploiting unitarity, we show that the BW determination of the resonance mass differs from the pole position by O(N-C(-2)) terms, which can be extracted from pi pi scattering data. For the case of the a (f(0)(600)) pole, the BW scalar mass is predicted to occur at similar to 700 MeV while the true value is located at similar to 800 MeV. (C) 2009 Elsevier B.V. All rights reserved.

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