LEGENDRE TRANSFORMS AND KHURI REPRESENTATIONS OF SCATTERING AMPLITUDES

Journal Article · Tue Oct 15 04:00:00 EDT 1963 · Physical Review (U.S.) Superseded in part by Phys.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.132.912· OSTI ID:4622624

Eden, R J

A representation of a scattering amplitude is described in which asymptotic behavior of the Regge type is exhibited in crossing symmetric form. It is based on Legendre transforms, which have similar meromorphy properties to partial wave amplitudes but use variables of the type (s - 2m/sup 2/)/2m/sup 2/ instead of the cosine of the scattering angle. The representation obtained is another example of a class that has similar features to the crossing symmetric Sommerfeld-Watson transformation developed by Khuri and based on coefficients of a power series. (auth)

• Research Organization: Cambridge univ., Eng.
• NSA Number: NSA-17-039928
• OSTI ID: 4622624
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 132; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

CROSS SECTIONS
CROSSING SYMMETRY
DISPERSION RELATIONS
ELEMENTARY PARTICLES
FIELD THEORY
KHURI REPRESENTATION
MATHEMATICS
NUCLEAR MODELS
NUMERICALS
PHYSICS
QUANTUM MECHANICS
REGGE POLES
SCATTERING
SOMMERFELD-WATSON THEORY