Theoretical Description of Collective Motion in Nuclei: Shell Model and ApproximationsNo Access

THE DENSITY MATRIX RENORMALIZATION GROUP AND THE NUCLEAR SHELL MODEL

S. PITTEL

Bartol Research Institute and Department of Physics and Astronomy, University of Delaware, Newark, DE 19086, USA

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B. THAKUR

Bartol Research Institute and Department of Physics and Astronomy, University of Delaware, Newark, DE 19086, USA

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, and

N. SANDULESCU

Institute of Physics and Nuclear Engineering, 76900 Bucharest, Romania

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https://doi.org/10.1142/S021830130801180XCited by:0 (Source: Crossref)

Abstract

We summarize recent efforts to develop an angular-momentum-conserving variant of the Density Matrix Renormalization Group method into a practical truncation strategy for large-scale shell model calculations of atomic nuclei. Following a brief description of the key elements of the method, we report the results of test calculations for ⁴⁸Cr and ⁵⁶Ni. In both cases we consider nucleons limited to the 2p-1f shell and interacting via the KB3 interaction. Both calculations produce a high level of agreement with the exact shell-model results. Furthermore, and most importantly, the fraction of the complete space required to achieve this high level of agreement goes down rapidly as the size of the full space grows.

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THE DENSITY MATRIX RENORMALIZATION GROUP AND THE NUCLEAR SHELL MODEL

Abstract

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