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Title: Point-form dynamics of quasistable states

We present a field theoretical model of point-form dynamics which exhibits resonance scattering. In particular, we construct point-form Poincaré generators explicitly from field operators and show that in the vector spaces for the in-states and out-states (endowed with certain analyticity and topological properties suggested by the structure of the S-matrix) these operators integrate to furnish differentiable representations of the causal Poincaré semigroup, the semidirect product of the semigroup of spacetime translations into the forward lightcone and the group of Lorentz transformations. We also show that there exists a class of irreducible representations of the Poincaré semigroup defined by a complex mass and a half-integer spin. The complex mass characterizing the representation naturally appears in the construction as the square root of the pole position of the propagator. These representations provide a description of resonances in the same vein as Wigner's unitary irreducible representations of the Poincaré group provide a description of stable particles.
Authors:
 [1] ;  [2] ; ;  [3]
  1. Department of Theoretical Physics, Atomic Physics and Optics, University of Valladolid, Valladolid (Spain)
  2. Department of Mathematical Analysis, University of Valladolid, Valladolid (Spain)
  3. Department of Physics, Grinnell College, Grinnell, Iowa 50112 (United States)
Publication Date:
OSTI Identifier:
22218267
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 54; Journal Issue: 7; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FIELD OPERATORS; IRREDUCIBLE REPRESENTATIONS; LIGHT CONE; LORENTZ TRANSFORMATIONS; MASS; RESCATTERING; RESONANCE SCATTERING; S MATRIX; SPIN; TOPOLOGY