ON THE DERIVATION OF ASYMPTOTIC EXPANSIONS OF EXPONENTIAL INTEGRALS, WITH APPLICATIONS TO COULOMB EXCITATION FUNCTIONS,

Abstract

The Coulomb integrals and the Coulomb excitation functions are examined as the parameter 2pi(Zsub 1) (Zsub 2) e squared (1/v - 1/u)/h becomes very large. This region is of importance for thick target experiments, heavy ions and low velocities. It is shown that asymptotic expansions of the Coulomb integrals can be expressed with the use of four functions related to the Airy integral. A method of finding the angular distributions of deexitation gamma rays is given.

Document Details

Document Type
Technical Report
Publication Date
Apr 02, 1962
Accession Number
AD0613491

Entities

People

  • L. C. Biedenharn
  • T. A. Griffy
  • Von P. J. Brussaard

Organizations

  • Duke University

Tags

DTIC Thesaurus Topics

  • Asymptotic Series
  • East Germany
  • Excitation
  • Gamma Rays
  • Germany
  • Integrals
  • Mathematics

Fields of Study

  • Physics

Readers

  • Analytical Mechanics
  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics