SINGULARITIES OF SCATTERING AMPLITUDES ON UNPHYSICAL SHEETS AND THEIR INTERPRETATION

Journal Article · Sat Jul 15 00:00:00 EDT 1961 · Physical Review (U.S.) Superseded in part by Phys.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.123.692· OSTI ID:4000137

Blankenbecler, R; Goldberger, M L; MacDowell, S W; Treiman, S B

The analytic structure of two-particle scattering amplitudes on the unphysical sheet of the Riemam surface reached by crossing the two-particle cut is discussed. The singularities of the amplitudes there are shown to be poles and their physical interpretation is studied. The way in which bound states appear on the physical sheet in the Mandelstam representation, both as isolated poles and as cuts, is traced in detail. The properties of partial wave amplitudes and of the full amplitude as a function of energy and angle and of energy and momentum transfer are discussed. Finally, a few remarks are made in connection with unstable states. (auth)

• Research Organization: Princeton Univ., N.J.
• NSA Number: NSA-15-026869
• OSTI ID: 4000137
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 123; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

BINDING ENERGY
BOUND STATE
ELEMENTARY PARTICLES
ENERGY
FIELD THEORY
INTERACTIONS
MANDELSTAM REPRESENTATION
MATHEMATICS
MOMENTUM
PHYSICS
RIEMANN SHEET
SCATTERING
SCATTERING AMPLITUDE
UNPHYSICAL SHEET