N/D METHOD FOR COMPLEX PARTIAL WAVES

Journal Article · Mon Apr 01 04:00:00 EST 1963 · Physical Review (U.S.) Superseded in part by Phys.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.130.369· OSTI ID:4745120

Bardakci, K

Conditions on complex partial-wave amplitudes necessary and sufficient for the validity of the Mandelstam representation were derived for both nonrelativistic potential scattering and relativistic two-particle scattering. These conditions were used to obtain iterative solutions to the nonrelativistic scattering problem with a given potential (restricted to superposition of Yukawa potentials), and to the relativistic problem in the elastic unitarity approximation with a given discontinuity across the left-hand cut. In the flrst case, the method used reduces to the well-known determinantal method for physical partial waves, and in the second case, it is a natural generalization to the N/D method to complex values of 1. The Regge poles, given by the zeros of the denominator, can be studied in a perturbative expansion in terms of the strength of the potential. Several applications are pointed out. (auth)

• Research Organization: Univ. of Minnesota, Minneapolis
• NSA Number: NSA-17-016850
• OSTI ID: 4745120
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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

DIRAC EQUATIONS
ELASTIC SCATTERING
ELEMENTARY PARTICLES
FIELD THEORY
MANDELSTAM REPRESENTATION
MATHEMATICS
MOTION
NUCLEAR MODELS
PERTURBATION THEORY
PHYSICS
QUANTUM MECHANICS
REGGE POLES
RELATIVITY THEORY
SCATTERING
YUKAWA POTENTIAL