The Density Matrix Renormalization Group and the Nuclear Shell Model

Details The Density Matrix Renormalization Group and the Nuclear Shell Model The Density Matrix Renormalization Group and the Nuclear Shell Model

2008-08-08

arxiv.org/abs/0808.1303v1

Int.J.Mod.Phys.E17:122-132,2009

Physics

Nuclear Physics

Nuclear Theory

Scientific paper

10.1142/S021830130801180X

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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