Theory of the Low-Energy Pion-Pion Interaction
نویسندگان
چکیده
منابع مشابه
Pion–pion scattering at low energy
We present technical details of the evaluation of the elastic ππ scattering amplitude to two loops in chiral perturbation theory. In particular, we elaborate on the renormalization procedure at the two–loop order and on the evaluation of the relevant Feynman diagrams that can all be expressed in terms of elementary functions. For the sake of clarity, we discuss these matters both in the N–compo...
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A dispersion framework, appropriate for discussing the low-energy pion-nucleon interaction , is reviewed. Sensitivity of the isoscalar D-amplitude at the unphysical Cheng-Dashen point to input from different phase shift analyses and low-energy experiments is discussed.
متن کاملTheoretical Aspects of the Pion-pion Interaction
The structure of the ππ interaction at low energies is strongly constrained by the fact that the pion is the Goldstone boson of a spontaneously broken approximate symmetry of QCD.1 The scattering amplitude can be calculated in a systematic way in the framework of Chiral Perturbation Theory (ChPT),2 by an expansion which converges very rapidly near the center of the Mandelstam triangle. However,...
متن کاملLow-energy pion-nucleon scattering
An analysis of low-energy charged pion-nucleon data from recent pp experiments is presented. From the scattering lengths and the Goldberger-Miyazawa-Oehme ~GMO! sum rule we find a value of the pion-nucleon coupling constant of f 50.075660.0007. We also find, contrary to most previous analyses, that the scattering volumes for the P31 and P13 partial waves are equal, within errors, corresponding ...
متن کاملPion–Pion and Pion–Nucleon Interactions in Chiral Perturbation Theory*
Elastic pion–pion and pion–nucleon scattering are reviewed in the context of chiral perturbation theory. Theoretical results from systematic low–energy expansions to O(p) for ππ and to O(p) for πN are compared with experimental data. Possible future developments are outlined. Talk given at the Workshop on Chiral Dynamics 1997 Mainz, Germany, Sept. 1 5, 1997 To appear in the Proceedings * Work s...
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ژورنال
عنوان ژورنال: Physical Review
سال: 1960
ISSN: 0031-899X
DOI: 10.1103/physrev.119.467