Shell Model Monte Carlo Method in the pn-Formalism

Author

Cem Ozen, University of Tennessee, Knoxville

Date of Award

8-2005

Degree Type

Dissertation

Degree Name

Doctor of Philosophy

Major

Physics

Major Professor

Witek Nazarewicz

Committee Members

David Dean, Thomas Papenbrock, Bob Compton, Carrol Bingham

Abstract

We report on the development of a new shell-model Monte Carlo algorithm, which uses the proton-neutron formalism. Shell model Monte Carlo methods, within the isospin formulation, have been successfully used in large-scale shell-model calculations. Motivation for this work is to extend the feasibility of these methods to shell model studies involving non-identical proton and neutron valence spaces. We show the viability of the new approach with some test results. Finally, we use a realistic effective nucleon-nucleon interaction in the model space described by (1p_1/2, 0g_9/2) proton and (1d_5/2, 2s_1/2, 1d_3/2, 0g_7/2, 0h_11/2) neutron orbitals above the ⁸⁸Sr core to calculate ground-state energies, binding energies, B(E2) strengths, and study pairing properties of the even-even ^90-104Zr and ^92-106Mo isotope chains.

Recommended Citation

Ozen, Cem, "Shell Model Monte Carlo Method in the pn-Formalism. " PhD diss., University of Tennessee, 2005.
https://trace.tennessee.edu/utk_graddiss/4345