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 04:00:00 EDT 1977 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.16.482· OSTI ID:7297729

Johnson, P W; Warnock, R L; Kaekebeke, M

In parts I and II of this series, a system of partial-wave equations for construction of a crossing-symmetric unitary Regge theory of meson-meson scattering was described. Here we show that the sum of the partial waves of a solution has a representation in which crossing symmetry is apparent, all integrals converge without subtractions, double-spectral funcions have the correct support, and the contributions of Regge poles in all three channels are displayed simultaneously. We obtain the Regge asymptotic limit for s ..-->.. infinity at arbitrary fixed t by a method which avoids a difficulty in the usual heuristic argument. We also discuss the consequences at high energy of a new method of avoiding ghost poles at l = 0 on even-signature trajectories.

• Research Organization: Illinois Institute of Technology, Chicago, Illinois 60616
• OSTI ID: 7297729
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 16:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645205* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions
Baryon No. = 0-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CROSSING SYMMETRY
FUNCTIONS
HADRON-HADRON INTERACTIONS
INTERACTIONS
MESON-MESON INTERACTIONS
PARTIAL WAVES
PARTICLE INTERACTIONS
REGGE POLES
SPECTRAL FUNCTIONS
SYMMETRY
T CHANNEL
UNITARITY