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Title: Polarizability of the pion: No conflict between dispersion theory and chiral perturbation theory

Abstract

Recent attempts to determine the pion polarizability by dispersion relations yield values that disagree with the predictions of chiral perturbation theory. These dispersion relations are based on specific forms for the absorptive part of the Compton amplitudes. The analytic properties of these forms are examined, and the strong enhancement of intermediate-meson contributions is shown to be connected with spurious singularities. If the basic requirements of dispersion relations are taken into account, the results of dispersion theory and effective field theory are not inconsistent.

Authors:
; ;  [1]
  1. Dipartimento di Fisica Nucleare e Teorica, Universita degli Studi di Pavia, and Istituto Nazionale di Fisica Nucleare, Sezione di Pavia, I-27100 Pavia (Italy)
Publication Date:
OSTI Identifier:
21191981
Resource Type:
Journal Article
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 77; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevC.77.065211; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AMPLITUDES; CHIRALITY; DISPERSION RELATIONS; FIELD THEORIES; FORECASTING; PERTURBATION THEORY; PIONS; POLARIZABILITY; SINGULARITY

Citation Formats

Pasquini, B, Drechsel, D, Scherer, S, and Institut fuer Kernphysik, Johannes Gutenberg-Universitaet, D-55099 Mainz. Polarizability of the pion: No conflict between dispersion theory and chiral perturbation theory. United States: N. p., 2008. Web. doi:10.1103/PHYSREVC.77.065211.
Pasquini, B, Drechsel, D, Scherer, S, & Institut fuer Kernphysik, Johannes Gutenberg-Universitaet, D-55099 Mainz. Polarizability of the pion: No conflict between dispersion theory and chiral perturbation theory. United States. https://doi.org/10.1103/PHYSREVC.77.065211
Pasquini, B, Drechsel, D, Scherer, S, and Institut fuer Kernphysik, Johannes Gutenberg-Universitaet, D-55099 Mainz. 2008. "Polarizability of the pion: No conflict between dispersion theory and chiral perturbation theory". United States. https://doi.org/10.1103/PHYSREVC.77.065211.
@article{osti_21191981,
title = {Polarizability of the pion: No conflict between dispersion theory and chiral perturbation theory},
author = {Pasquini, B and Drechsel, D and Scherer, S and Institut fuer Kernphysik, Johannes Gutenberg-Universitaet, D-55099 Mainz},
abstractNote = {Recent attempts to determine the pion polarizability by dispersion relations yield values that disagree with the predictions of chiral perturbation theory. These dispersion relations are based on specific forms for the absorptive part of the Compton amplitudes. The analytic properties of these forms are examined, and the strong enhancement of intermediate-meson contributions is shown to be connected with spurious singularities. If the basic requirements of dispersion relations are taken into account, the results of dispersion theory and effective field theory are not inconsistent.},
doi = {10.1103/PHYSREVC.77.065211},
url = {https://www.osti.gov/biblio/21191981}, journal = {Physical Review. C, Nuclear Physics},
issn = {0556-2813},
number = 6,
volume = 77,
place = {United States},
year = {Sun Jun 15 00:00:00 EDT 2008},
month = {Sun Jun 15 00:00:00 EDT 2008}
}