scholarly journals Positivity constraints on chiral perturbation theory pion-pion scattering amplitudes

1999 ◽  
Vol 59 (9) ◽  
Author(s):  
Petre Diţă
Keyword(s):  
Perturbation Theory ◽  
Scattering Amplitudes ◽  
Chiral Perturbation Theory ◽  
Chiral Perturbation ◽  
Pion Scattering

scholarly journals Unitarized chiral perturbation theory for elastic pion-pion scattering

1990 ◽  
Vol 235 (1-2) ◽  
pp. 134-140 ◽  
Author(s):  
A. Dobado ◽  
Maria J. Herrero ◽  
Tran N. Truong
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Chiral Perturbation ◽  
Pion Scattering

scholarly journals I=2 PION SCATTERING LENGTH WITH IMPROVED ACTIONS ON ANISOTROPIC LATTICES

2004 ◽  
Vol 19 (32) ◽  
pp. 5609-5614 ◽  
Author(s):  
XINING DU ◽  
GUANGWEI MENG ◽  
CHUAN MIAO ◽  
CHUAN LIU
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Continuum Limit ◽  
Scattering Length ◽  
Infinite Volume ◽  
Chiral Perturbation ◽  
Wilson Fermion ◽  
Pion Scattering ◽  
Anisotropic Lattices ◽  
Lattice Calculations

ππ scattering length in the I=2 channel is calculated within quenched approximation using improved gauge and improved Wilson fermion actions on anisotropic lattices. The results are extrapolated towards the chiral, infinite volume and continuum limit. This result improves our previous result on the scattering length. In the chiral, infinite volume and continuum limit, we obtain [Formula: see text], which is consistent with the result from Chiral Perturbation Theory, the experiment and results from other lattice calculations.

scholarly journals Pion scattering in Wilson chiral perturbation theory

2008 ◽  
Vol 78 (11) ◽  
Author(s):  
Sinya Aoki ◽  
Oliver Bär ◽  
Benedikt Biedermann
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Chiral Perturbation ◽  
Pion Scattering

scholarly journals LIGHT SCALARS AS TETRAQUARKS OR TWO-MESON STATES FROM LARGE-Nc AND UNITARIZED CHIRAL PERTURBATION THEORY

2004 ◽  
Vol 19 (39) ◽  
pp. 2879-2894 ◽  
Author(s):  
J. R. PELÁEZ
Keyword(s):  
Perturbation Theory ◽  
Scattering Amplitudes ◽  
Chiral Perturbation Theory ◽  
Low Energy ◽  
Effective Theory ◽  
Chiral Perturbation ◽  
Large N ◽  
Light Scalar ◽  
Meson States

By means of unitarized Chiral Perturbation Theory it is possible to obtain a remarkable description of meson–meson scattering amplitudes up to 1.2 GeV, and generate poles associated to scalar and vector resonances. Since Chiral Perturbation Theory is the QCD low energy effective theory, it is then possible to study its large-N c limit where [Formula: see text] states are easily identified. The vectors thus generated follow closely a [Formula: see text] behavior, whereas the light scalar poles follow the large-N c behavior expected for a dominant tetraquark or two-meson structure.

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