Compton scattering by a pion and off-shell effects

Journal Article · Sun Jan 01 04:00:00 EST 1995 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.51.359· OSTI ID:7063950

Scherer, S; Fearing, H W ^[1]

---

1. TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia, V6T 2A3 (Canada)

We consider Compton scattering by a pion in the framework of chiral perturbation theory. We investigate off-shell effects in the [ital s]- and [ital u]-channel pole diagrams. For that purpose we perform a field transformation which, in comparison with the standard Gasser and Leutwyler Lagrangian, generates additional terms at order [ital p][sup 4] proportional to the lowest-order equation of motion. As a result of the equivalence theorem the two Lagrangians predict the same Compton scattering [ital S]-matrix even though they generate different off-shell form factors. We conclude that off-shell effects are not only model dependent but also representation dependent.

• OSTI ID: 7063950
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 51:1; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
662330* -- Photon & Charged-Lepton Interactions with Hadrons-- (1992)
662390 -- Electromagnetic Processes & Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
BOSONS
CHIRAL SYMMETRY
COMPTON EFFECT
DIFFERENTIAL EQUATIONS
ELASTIC SCATTERING
ELECTROMAGNETIC INTERACTIONS
ELEMENTARY PARTICLES
EQUATIONS
EQUATIONS OF MOTION
EQUIVALENCE PRINCIPLE
FORM FACTORS
FUNCTIONS
HADRONS
INTERACTIONS
LAGRANGIAN FUNCTION
MATRICES
MESONS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
PERTURBATION THEORY
PIONS
PSEUDOSCALAR MESONS
S CHANNEL
S MATRIX
SCATTERING
SYMMETRY
U CHANNEL