A TABLE OF CENTRAL-FORCE GEOMETRICAL COEFFICIENTS ASSOCIATED WITH TALMI INTEGRALS FOR USE IN CALCULATING NUCLEAR TWO-BODY MATRIX ELEMENTS USING HARMONIC OSCILLATOR WAVE FUNCTIONS.

Abstract

In calculating nuclear two-body matrix elements using harmonic oscillator wave functions, the radial parts give Talmi integrals and the angular parts may be done by Racah algebra, yielding the geometrical coefficients tabulated here. This table is calculated from the harmonic oscillator transformation brackets and B coefficients of Moshinsky. The table is applicable to the calculation of central-force matrix elements for nuclides containing up to 70 nucleons of a single species and is accurate to at least seven significant figures. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 07, 1968
Accession Number
AD0673524

Entities

People

  • J. B. Langworthy
  • S. Podgor

Organizations

  • United States Naval Research Laboratory

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Integrals
  • Oscillators
  • Wave Functions

Fields of Study

  • Physics

Readers

  • Approximation Theory.
  • Linear Algebra
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.