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Title: Improved Pion Pion Scattering Amplitude from Dispersion Relation Formalism

Abstract

Pion-pion scattering amplitude is obtained from Chiral Perturbation Theory at one- and two-loop approximations. Dispersion relation formalism provides a more economic method, which was proved to reproduce the analytical structure of that amplitude at both approximation levels. This work extends the use of the formalism in order to compute further unitarity corrections to partial waves, including the D-wave amplitude.

Authors:
 [1];  [2];  [3]
  1. Universidade Federal de Mato Grosso do Sul (Brazil)
  2. Universidade Federal do Rio de Janeiro (Brazil)
  3. Universidade do Estado do Rio de Janeiro (Brazil)
Publication Date:
OSTI Identifier:
20798162
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 814; Journal Issue: 1; Conference: 11. international conference on hadron spectroscopy, Rio de Janeiro (Brazil), 21-26 Aug 2005; Other Information: DOI: 10.1063/1.2176570; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AMPLITUDES; APPROXIMATIONS; CHIRAL SYMMETRY; CHIRALITY; CORRECTIONS; D WAVES; DISPERSION RELATIONS; PERTURBATION THEORY; PION-PION INTERACTIONS; UNITARITY

Citation Formats

Cavalcante, I. P., Coutinho, Y. A., and Borges, J. sa. Improved Pion Pion Scattering Amplitude from Dispersion Relation Formalism. United States: N. p., 2006. Web. doi:10.1063/1.2176570.
Cavalcante, I. P., Coutinho, Y. A., & Borges, J. sa. Improved Pion Pion Scattering Amplitude from Dispersion Relation Formalism. United States. doi:10.1063/1.2176570.
Cavalcante, I. P., Coutinho, Y. A., and Borges, J. sa. Sat . "Improved Pion Pion Scattering Amplitude from Dispersion Relation Formalism". United States. doi:10.1063/1.2176570.
@article{osti_20798162,
title = {Improved Pion Pion Scattering Amplitude from Dispersion Relation Formalism},
author = {Cavalcante, I. P. and Coutinho, Y. A. and Borges, J. sa},
abstractNote = {Pion-pion scattering amplitude is obtained from Chiral Perturbation Theory at one- and two-loop approximations. Dispersion relation formalism provides a more economic method, which was proved to reproduce the analytical structure of that amplitude at both approximation levels. This work extends the use of the formalism in order to compute further unitarity corrections to partial waves, including the D-wave amplitude.},
doi = {10.1063/1.2176570},
journal = {AIP Conference Proceedings},
number = 1,
volume = 814,
place = {United States},
year = {Sat Feb 11 00:00:00 EST 2006},
month = {Sat Feb 11 00:00:00 EST 2006}
}