Pion-pion scattering amplitude. II. Improved analysis above K̅K threshold

We improve, in the energy region between the K̅K threshold and ~ 1.4 GeV, the energy-dependent phase shift analysis of π π scattering presented in a previous paper. For the S0 wave, we have included more data above the K̅K threshold and we have taken into account systematically the elasticity data o...

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Authors: Kamiński, R; Peláez Sagredo, José Ramón; Ynduráin, F. J.
Format: Article
Publication date:2006
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/51727
Online Access:https://hdl.handle.net/20.500.14352/51727
Access Level:Open access
Keyword:51-73
Phase-shift analysis
Gev-c
π-P->π π&N
Física-Modelos matemáticos
Física matemática
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author Kamiński, R
author2 Peláez Sagredo, José Ramón
Ynduráin, F. J.
author2_role author
author
author_browse Kamiński, R
Peláez Sagredo, José Ramón
Ynduráin, F. J.
author_facet Kamiński, R
Peláez Sagredo, José Ramón
Ynduráin, F. J.
author_role author
collection Docta Complutense
description We improve, in the energy region between the K̅K threshold and ~ 1.4 GeV, the energy-dependent phase shift analysis of π π scattering presented in a previous paper. For the S0 wave, we have included more data above the K̅K threshold and we have taken into account systematically the elasticity data on the reaction π π →K̅K. We here made a coupled channel fit. For the D0 wave, we have considered information on low energy parameters, and imposed a better fit to the f_2 resonance. For both waves the expressions we now find are substantially more precise than the previous ones. We also provide slightly improved D2 and P waves, including the estimated inelasticity for the first, and a more flexible parametrization between 1 and 1.42 GeV for the second. The accuracy of our amplitudes is now such that it requires a refinement of the Regge analysis, for^(1/2) ≥ 1.42 GeV, which we also carry out. We show that this more realistic input produces π π scattering amplitudes that satisfy better forward dispersion relations, particularly for π^0 π^0 scattering.
eu_rights_str_mv openAccess
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institution Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
language eng
network_acronym_str ES
network_name_str España
oai_identifier_str oai:docta.ucm.es:20.500.14352/51727
publishDate 2006
publishDateSort 2006
publisher Amer Physical Soc
publisherStr Amer Physical Soc
reponame_str Docta Complutense
spelling Pion-pion scattering amplitude. II. Improved analysis above K̅K threshold Kamiński, R Peláez Sagredo, José Ramón Ynduráin, F. J. 51-73 Phase-shift analysis Gev-c π-P->π π&N Física-Modelos matemáticos Física matemática We improve, in the energy region between the K̅K threshold and ~ 1.4 GeV, the energy-dependent phase shift analysis of π π scattering presented in a previous paper. For the S0 wave, we have included more data above the K̅K threshold and we have taken into account systematically the elasticity data on the reaction π π →K̅K. We here made a coupled channel fit. For the D0 wave, we have considered information on low energy parameters, and imposed a better fit to the f_2 resonance. For both waves the expressions we now find are substantially more precise than the previous ones. We also provide slightly improved D2 and P waves, including the estimated inelasticity for the first, and a more flexible parametrization between 1 and 1.42 GeV for the second. The accuracy of our amplitudes is now such that it requires a refinement of the Regge analysis, for^(1/2) ≥ 1.42 GeV, which we also carry out. We show that this more realistic input produces π π scattering amplitudes that satisfy better forward dispersion relations, particularly for π^0 π^0 scattering. Amer Physical Soc https://hdl.handle.net/20.500.14352/51727
spellingShingle Pion-pion scattering amplitude. II. Improved analysis above K̅K threshold
Kamiński, R
51-73
Phase-shift analysis
Gev-c
π-P->π π&N
Física-Modelos matemáticos
Física matemática
title Pion-pion scattering amplitude. II. Improved analysis above K̅K threshold
title_full Pion-pion scattering amplitude. II. Improved analysis above K̅K threshold
title_fullStr Pion-pion scattering amplitude. II. Improved analysis above K̅K threshold
title_full_unstemmed Pion-pion scattering amplitude. II. Improved analysis above K̅K threshold
title_short Pion-pion scattering amplitude. II. Improved analysis above K̅K threshold
title_sort Pion-pion scattering amplitude. II. Improved analysis above K̅K threshold
topic 51-73
Phase-shift analysis
Gev-c
π-P->π π&N
Física-Modelos matemáticos
Física matemática
topic_facet 51-73
Phase-shift analysis
Gev-c
π-P->π π&N
Física-Modelos matemáticos
Física matemática
url https://hdl.handle.net/20.500.14352/51727