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Finite nucleus model for the Fermi contact interaction
Author(s) -
Hannesson Thorsteinn,
Blinder S. M.
Publication year - 1979
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560150103
Subject(s) - physics , fermi gamma ray space telescope , coulomb , coupling constant , perturbation theory (quantum mechanics) , thomas–fermi model , nucleus , magnetic moment , fermi contact interaction , perturbation (astronomy) , quantum mechanics , fermi energy , condensed matter physics , quantum electrodynamics , hyperfine structure , electron , biology , microbiology and biotechnology
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.