EXTENSION OF THE REGGE REPRESENTATION

Journal Article · Mon Apr 01 04:00:00 EST 1963 · Physical Review (U.S.) Superseded in part by Phys.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

DOI:https://doi.org/10.1103/PhysRev.130.429· OSTI ID:4743836

Khuri, N N

The Regge formuia is modified in such a way as to exhibit the full'' contribution of each Regge pole to the scattering amplitude. In this modified form both the contribution from each pole and the new background term have the correct cuts in the z plane. In the case where the partial wave amplitude is meromorphic in the whole l plane it is shown that, under certain assumptions, the scattering amplitude can be represented by a series sum of contributions from the Regge poles. Each contribution has the correct cut in the z plane, and the series converges for all z in the cut plane. An approximation of the scattering amplitude at low energies in terms of a few contributions from leading poles is discussed. Finally, it is shown that this modified Regge formuia leads to a relatively simple bootstrap procedure for constructing the scattering amplitude from unitarity and analyticity. (auth)

• Research Organization: Inst. for Advanced Study, Princeton, N.J.
• NSA Number: NSA-17-017033
• OSTI ID: 4743836
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 130; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

AMPLITUDE
ELEMENTARY PARTICLES
ENERGY
FIELD THEORY
MATHEMATICS
PHYSICS
QUANTUM MECHANICS
REGGE POLES
SCATTERING