High-Energy Expansions of Scattering Amplitudes

Journal Article · Sat Sep 15 04:00:00 EDT 1973 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.8.1846· OSTI ID:4376154

Wallace, Stephen J.

The partial-wave series is converted without approximation to a Fourier-Bessel expansion based on a new (infinite series) expansion for the Legendre function. The direct connection between the Fourier-Bessel phase shift and the partial-wave interpolating phase shift is established as an infinite series in powers of K^-2 (K=wavenumber). The series contains the Glauber eikonal approximation as a leading term and reproduces the results of an eikonal expansion about the Glauber propagator. Corrections to the eikonal approximation are developed and rules are given for an unambiguous interpretation of the eikonal expansion. Finally, the relativistic eikonal expansion is discussed for forward and backward scattering without small-angle approximations.

• Research Organization: Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138
• Sponsoring Organization: USDOE
• NSA Number: NSA-29-014000
• OSTI ID: 4376154
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 8; ISSN PRVDAQ; ISSN 0556-2821
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

Related Subjects

*SCATTERING AMPLITUDES-- SERIES EXPANSION
GLAUBER THEORY
LEGENDRE POLYNOMIALS
N64500* --Physics (High Energy)--Scattering Theory
PARTIAL WAVES
PHASE SHIFT