DISPERSION RELATIONS FOR DIRAC POTENTIAL SCATTERING

Journal Article · Wed Jan 01 04:00:00 EST 1958 · Physical Review (U.S.) Superseded in part by Phys.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.109.198· OSTI ID:4312612

Khuri, N N; Treiman, S B

Dispersion relations for scattering of a Dirac particle by a potential are shown to hold for a broad class of potentials. In contract to the field theoretic case, the derivation here makes no use of the concept of causality but is instead based directly on the analytic properties of the Fredholm solution of the scattering integral equation. It is shown that the scattering amplitude, considered as a function of energy and momentam transfer, can be extended to a function analytic in the complex energy plane, for real momentum transfer. The dispersion relations then follow in the standard way from Cauchy' s theorem. The final results involve one subtraction.'' It is also shown that the analytic continuation into the unphysical region for nonforward scattering cam be carried out by means of a partial wave expansion. (auth)

• Research Organization: Princeton Univ., N.J.
• NSA Number: NSA-12-004516
• OSTI ID: 4312612
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 109; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ANGULAR DISTRIBUTION
CROSS SECTIONS
DIFFERENTIAL EQUATIONS
FERMIONS
INTERACTIONS
PHYSICS
QUANTUM MECHANICS
RELATIVITY THEORY
SCATTERING