Exponential convergence method: Nonyrast states, occupation numbers, and a shell-model description of the superdeformed band in 56Ni

Mihai Horoi, B. Alex Brown, Vladimir Zelevinsky

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44 Scopus citations

Abstract

We suggested earlier that the energies of low-lying states in large shell-model spaces converge to their exact values exponentially as a function of the dimension in progressive truncation. An algorithm based on this exponential convergence method was proposed and successfully used for describing the ground state energies in the lowest |δ(N-Z)| nuclides from 42Ca to 56Ni using the fp-shell model and the FPD6 interaction. We extend this algorithm to describe nonyrast states, especially those that exhibit a large collectivity, such as the superdeformed band in 56Ni. We also show that a similar algorithm can be used to calculate expectation values of observables, such as single-particle occupation probabilities.

Original languageEnglish
Article number034303
Pages (from-to)343031-343037
Number of pages7
JournalPhysical Review C - Nuclear Physics
Volume67
Issue number3
StatePublished - Mar 1 2003

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