scholarly journals Density matrix renormalization group method and large-scale nuclear shell-model calculations

2002 ◽  
Vol 65 (5) ◽  
Author(s):  
J. Dukelsky ◽  
S. Pittel ◽  
S. S. Dimitrova ◽  
M. V. Stoitsov
Keyword(s):  
Renormalization Group ◽  
Density Matrix ◽  
Large Scale ◽  
Group Method ◽  
Density Matrix Renormalization Group ◽  
Nuclear Shell Model ◽  
Renormalization Group Method ◽  
Model Calculations ◽  
Density Matrix Renormalization ◽  
Nuclear Shell

scholarly journals THE DENSITY MATRIX RENORMALIZATION GROUP AND THE NUCLEAR SHELL MODEL

2008 ◽  
Vol 17 (supp01) ◽  
pp. 122-132
Author(s):  
S. PITTEL ◽  
B. THAKUR ◽  
N. SANDULESCU
Keyword(s):  
Renormalization Group ◽  
Density Matrix ◽  
Shell Model ◽  
Large Scale ◽  
Group Method ◽  
Density Matrix Renormalization Group ◽  
Model Calculations ◽  
Density Matrix Renormalization ◽  
High Level ◽  
Level Of Agreement

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 48 Cr and 56 Ni . 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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