MANDELSTAM REPRESENTATION FOR DIRAC POTENTIAL SCATTERING

Journal Article · Tue Oct 31 23:00:00 EST 1961 · Physical Review (U.S.) Superseded in part by Phys.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.124.936· OSTI ID:4830866

Edwards, K W

S>The scattering amplitude for Dirac potential scattering is shown to have a Mandelstam representation if the potential is a superposition of Yukawa potentials. This representation, together with the unitarity condition, is used to obtain an integral equation for the weight functions. The subtraction in energy makes it necessary to know the scattering amplitude's dependence on momentum transfer at zero energy in order to solve for the weight functions. Dispersion relations for the partial wave amplitudes are obtained. (auth)

• Research Organization: Princeton Univ., N.J.
• NSA Number: NSA-16-003809
• OSTI ID: 4830866
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 124; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ANGULAR MOMENTUM
DIFFERENTIAL EQUATIONS
DIRAC EQUATIONS
DISPERSION RELATIONS
ELEMENTARY PARTICLES
ENERGY
FIELD THEORY
INTEGRAL EQUATIONS
INTEGRALS
INTERACTIONS
MANDELSTAM REPRESENTATION
MOMENTUM
NUCLEAR MODELS
PARTIAL WAVES
PHYSICS
QUANTUM MECHANICS
RELATIVITY THEORY
SCATTERING
SCATTERING AMPLITUDE
YUKAWA POTENTIAL