Effect of the Two-Particle Spin-Orbit Nucleon-Nucleon Interaction on the O16 and N16 Nuclei

摘要

Possible nucleon-nucleon interaction potentials are considered, and the form is selected which is thought necessary to obtain a reasonably accurate picture of the O16 and N16 nuclei without necessarily complicating the calculations. Then the assumptions made to approximate the solution of the Schrodinger equation are discussed, and the potential well introduced by these assumptions is chosen. A mathematical treatment of the methods used for constructing the energy matrices is presented. Theoretical predictions of the energy-level splittings of O16 and N16 and of the beta-decay and muon-capture rates for the two nuclei are given. After a comparison of these results with experimental data, the nuclear state vectors giving the best experimental fit are chosen. The appendices contain three derivations too cumbersome to be included in the main text, but necessary for the completeness of the work, and a summary of formulas from Racah algebra which are used throughout the calculations. (Author)