Skip to main content
OSTI.GOVU.S. Department of Energy Office of Scientific and Technical Information
U.S. Department of Energy
Office of Scientific and Technical Information
 

Dynamical equations for a Regge theory with crossing symmetry and unitarity. II. The case of strong coupling, and elimination of ghost poles

Journal Article · · Phys. Rev., D; (United States)
;
Equations for the construction of a crossing-symmetric unitary Regge theory of meson-meson scattering are described. In the case of strong coupling, Regge trajectories are to be generated dynamically as zeros of the D function in a nonlinear N/D system. This paper is concerned mainly with writing the inputs to the N/D system in such a way that a convergent theory with exact crossing symmetry is defined. The scheme demands elimination of ghosts, i.e., bound-state poles at energies below threshold where trajectories pass through zero. A method for ghost elimination is proposed which entails an s-wave subtraction constant, and allows the physical s wave to be different from the l-analytic amplitude evaluated at l = 0. A dynamical model is suggested in which the subtraction constant alone generates the meson-meson interaction. An alternative ghost-elimination scheme proposed by Gell-Mann, in which only l-analytic amplitudes are involved, can be discussed in a formalism including channels with spin.
Research Organization:
Illinois Institute of Technology, Chicago, Illinois 60616
OSTI ID:
7317009
Journal Information:
Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 15:8; ISSN PRVDA
Country of Publication:
United States
Language:
English

Similar Records

Dynamical equations for a Regge theory with crossing symmetry and unitarity. III. Crossing-symmetric representation with explicit Regge-pole terms
Journal Article · Fri Jul 15 00:00:00 EDT 1977 · Phys. Rev., D; (United States) · OSTI ID:7297729
REGGE TRAJECTORIES AND ELEMENTARY POLES
Journal Article · Sun Mar 31 23:00:00 EST 1963 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D · OSTI ID:4743837
Dynamical equations for a Regge theory with crossing symmetry and unitarity. I. Introduction, and the case of weak coupling
Journal Article · Thu Apr 14 23:00:00 EST 1977 · Phys. Rev., D; (United States) · OSTI ID:7304581

Related Subjects

645205* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions
Baryon No. = 0-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BOUND STATE
CROSSING SYMMETRY
GELL-MANN THEORY
HADRON-HADRON INTERACTIONS
INTERACTIONS
MATHEMATICAL MODELS
MESON-MESON INTERACTIONS
PARTIAL WAVES
PARTICLE INTERACTIONS
PARTICLE MODELS
REGGE TRAJECTORIES
S WAVES
SCATTERING AMPLITUDES
STRONG-COUPLING MODEL
SYMMETRY
UNITARITY