Finite nucleus model for the Fermi contact interaction

✍ Scribed by Thorsteinn Hannesson; S. M. Blinder

• Publisher: John Wiley and Sons
• Year: 1979
• Tongue: English
• Weight: 302 KB
• Volume: 15
• Category: Article
• ISSN: 0020-7608
• DOI: 10.1002/qua.560150103

✦ Synopsis

Abstract

A model for the Fermi contact interaction is proposed in which the charge and magnetic moment of the nucleus are uniformly distributed within a sphere of radius r~0~. This leads to a Schrödinger equation, which is solvable without perturbation theory. In the mathematical limit r~0~ → 0, the usual Coulomb plus delta function potential is obtained. It is shown that the magnetic perturbation energy goes to zero for a repulsive delta function, to ‐∞ for an attractive delta function. A projected application is to computation of nuclear spin–spin coupling constants in molecules, particularly HD.