Graduate Thesis Or Dissertation
 

The unitary model operator approach to structure in the 2s-1d shell

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  • Effective two-body interactions were obtained from realistic nucleon-nucleon potentials and applications made in calculations of ground state properties of even-even N=Z light nuclei. The admixture of high momentum states into the nuclear wavefunction caused by the strong, short-range repulsion of the two-nucleon force was taken into account by making a unitary substitution of correlated basis functions. The admixture of high momentum components into the nuclear wavefunction caused by the tensor force was handled by renormalizing the effective interaction to include second order effects. Effective interactions were developed for three phenomenological potentials with different core structures. The Bressel potential with a finite soft core was investigated briefly and found inadequate for use in structure calculations. The hard core Yale potential was used in studying ¹⁶0 in detail. And the Reid potential with a Yukawa-type soft core was used extensively in all the nuclei considered. The effective interactions for each realistic potential was investigated for dependence on the ³S₁ healing distance. Structure calculations included determination of ground state binding energies, radii, energy levels for the single particle states and deformations for the nuclei ¹⁶0, ²⁰Ne, ²⁴Mg, ²⁸Si, ³²S, and ⁴⁰Ca. It was found that the binding was strongly dependent on the choice of the ³S₁ healing distance for both the Yale and Reid effective two-body interactions. By varying this single parameter, quantitative agreement for the binding with the experimental values could be achieved. The deformations found were somewhat smaller than empirically expected but were qualitatively correct.
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