The Lindhard, Nielsen and Scharff Method of Obtaining Approximate Cross Sections.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 10, 1985
- Accession Number
- ADA159355
Entities
People
- G. P. Mueller
Organizations
- United States Naval Research Laboratory