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

Journal Article · Sun Jun 15 00:00:00 EDT 2008 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.77.065211· OSTI ID:21191981

Pasquini, B; Drechsel, D; Scherer, S ^[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)

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.

• OSTI ID: 21191981
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 77, Issue 6; Other Information: DOI: 10.1103/PhysRevC.77.065211; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
CHIRALITY
DISPERSION RELATIONS
FIELD THEORIES
FORECASTING
PERTURBATION THEORY
PIONS
POLARIZABILITY
SINGULARITY