Angular momentum and light-front scattering theory

Journal Article · Sun Sep 15 00:00:00 EDT 1991 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.44.1880· OSTI ID:5150610

Fuda, M G ^[1]

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1. Department of Physics and Astronomy, State University of New York at Buffalo, Buffalo, New York (USA)

The role of the Leutwyler and Stern spin operator in the angular momentum analysis of light-front scattering theory is analyzed. The equations of formal scattering theory are transformed to the {xi} picture using the unitary operator {ital C}({xi}) recently developed by the author. This operator depends on the two angles which determine the direction of the three-vector part of a lightlike four-vector {xi}. It is shown that an invariant version of light-front perturbation theory developed earlier by the author is related to the standard theory by the unitary operator {ital C}({xi}). It is also shown how to carry out a partial-wave analysis of the Lippmann-Schwinger-like equations obtained by summing a subset of the diagrams of this invariant form of light-front perturbation theory. The analysis presented here makes clear that the {xi} picture overcomes many of the difficulties due to the interaction dependence of light-front angular momentum operators, in particular the difficulties arising from the fact that the individual diagrams of light-front pertubation theory are not rotationally invariant.

• OSTI ID: 5150610
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 44:6; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
QUANTUM MECHANICS
RELATIVITY THEORY
SCATTERING
ANGULAR MOMENTUM
COUPLING
HAMILTONIANS
HILBERT SPACE
LIE GROUPS
LORENTZ TRANSFORMATIONS
PERTURBATION THEORY
POINCARE GROUPS
BANACH SPACE
FIELD THEORIES
GENERAL RELATIVITY THEORY
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MECHANICS
QUANTUM OPERATORS
SPACE
SYMMETRY GROUPS
TRANSFORMATIONS
645201* - High Energy Physics- Particle Interactions & Properties-Theoretical- General & Scattering Theory
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics