Improved high-energy bound on the logarithmic derivative of scattering amplitudes

Journal Article · Mon Aug 01 04:00:00 EDT 1983 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.28.653· OSTI ID:5845223

Chung, B K; Shin, H J

It is proved that the logarithmic derivative of the absorptive part of the scattering amplitude with respect to momentum transfer t has an improved rigorous upper bound (7lns)/(2..sqrt..t (2- ..sqrt..t )) for a sequence of s..-->..infinity. It is also observed that the slope of the Regge trajectory is not only rigorously bounded from above by 7/(2..sqrt..t (2- ..sqrt..t )), but also by 1/(2..sqrt..t (2- ..sqrt..t )), if the total cross section increases in any fashion as s..-->..infinity. Here s is energy squared and 0

• Research Organization: Department of Physics, Kyunghee University, Seoul 131, Korea
• OSTI ID: 5845223
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 28:3; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400 -- High Energy Physics-- Field Theory
645500* -- High Energy Physics-- Scattering Theory-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ANGULAR MOMENTUM
AXIOMATIC FIELD THEORY
CROSS SECTIONS
ELASTIC SCATTERING
FIELD THEORIES
LIMITING VALUES
MOMENTUM TRANSFER
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
REGGE TRAJECTORIES
SCATTERING
SCATTERING AMPLITUDES
SPIN
TOTAL CROSS SECTIONS