Relativistic energy-dependent partial-wave analysis for particles with spin

Journal Article · Fri Jun 01 04:00:00 EDT 1979 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.19.3413· OSTI ID:6213646

Daumens, M; Perroud, M; Winternitz, P

Relativistic expansions of two-body scattering amplitudes are presented for reactions involving particles with arbitrary spins. The expansions are ''complete'' in that the entire dependence on the kinematical variables (energy, scattering angle, and azimuthal angle) is displayed explicitly in known functions. They are provided by the representation theory of the Lorentz group O(3,1) which in this case is identified as an ''internal Lorentz group,'' acting in a specific manner on two-particle states. The expansion coefficients, called Lorentz amplitudes, carry the dynamics of the reaction. The phenomenological motivation for writing such expansions is to be able to analyze large bodies of data simultaneously, e.g., the scattering data measured in a specific reaction for all angles and all available energies.

• Research Organization: Centre de Recherches Mathematiques, Universite de Montreal, Montreal, Quebec, Canada
• OSTI ID: 6213646
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 19:11; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
645500 -- High Energy Physics-- Scattering Theory-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ANGULAR MOMENTUM
ENERGY DEPENDENCE
ENERGY RANGE
INTERACTIONS
INVARIANCE PRINCIPLES
LORENTZ INVARIANCE
MANY-BODY PROBLEM
PARITY
PARTIAL WAVES
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
RELATIVISTIC RANGE
SCATTERING AMPLITUDES
SPIN
T INVARIANCE
TWO-BODY PROBLEM