Accession Number:

ADA159355

Title:

The Lindhard, Nielsen and Scharff Method of Obtaining Approximate Cross Sections.

Descriptive Note:

Memorandum rept.,

Corporate Author:

NAVAL RESEARCH LAB WASHINGTON DC

Personal Author(s):

Report Date:

1985-09-10

Pagination or Media Count:

18.0

Abstract:

Scattering theory gives an exact expression for generating a differential cross section from a known inter-particle potential and, conversely, if one has a cross section, there is an exact inversion process that yields the potential that is its counterpart. Lindhard, Nielsen and Scharff LNS developed an approximate method to generate cross sections. Their Thomas-Fermi cross section is widely used in atomic scattering and radiation damage calculations. In this report the author describes the three approximations that make up the LNS method and the corresponding approximate inversion process. Several examples are furnished, including ones that demonstrate the utility of starting with a cross section and using the simplified inversion process to generate the corresponding approximate potential. Author

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE