Coulomb scattering as the limit of scattering off smoothly screened Coulomb potentials

Journal Article · Fri Aug 01 04:00:00 EDT 1980 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.524654· OSTI ID:5236969

Goodmanson, D M; Taylor, J R

We examine the amplitude f /sup rho/(costheta) for scattering off a screened Coulomb potential V/sup tsrho/(r) =V/sup C/(r)..cap alpha../sup tsrho/(r), where V/sup C/(r) is the Coulomb potential ..gamma../r. We prove that, for a wide class of smooth screening functions ..cap alpha../sup tsrho/(r), the screened amplitude f/sup tsrho/(costheta) approaches the pure Coulomb amplitude f/sup tsC/(costheta), times a phase factor, as the screening radius rho..-->..infinity. This limit is pointwise and uniform in angle and energy (excluding arbitrarily small neighborhoods of theta=0 and E=0), and therefore implies that the corresponding cross sections become equal as rho..-->..infinity.

• Research Organization: Department of Physics, Whitman College, Walla Walla, Washington 99362
• OSTI ID: 5236969
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 21:8; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
BASIC INTERACTIONS
COULOMB FIELD
COULOMB SCATTERING
CROSS SECTIONS
ELASTIC SCATTERING
ELECTRIC FIELDS
ELECTROMAGNETIC INTERACTIONS
INTERACTIONS
PARTIAL WAVES
SCATTERING
SCATTERING AMPLITUDES
SCREENING