Density Matrix Renormalization Group study of $^{48}$Cr and $^{56}$Ni

TL;DR

This paper introduces an angular-momentum-conserving DMRG method for nuclear shell-model calculations, demonstrating high accuracy and efficiency improvements in modeling $^{48}$Cr and $^{56}$Ni nuclei.

Contribution

The paper develops a new angular-momentum-conserving DMRG variant and applies it successfully to large-scale nuclear structure calculations, showing significant computational advantages.

Findings

High agreement with exact results for $^{48}$Cr and $^{56}$Ni

Dramatic reduction in computational space needed for accuracy

Effective large-scale shell-model calculations achieved

Abstract

We discuss the development of an angular-momentum-conserving variant of the Density Matrix Renormalization Group (DMRG) method for use in large-scale shell-model calculations of atomic nuclei and report a first application of the method to the ground state of $^{56}$Ni and improved results for $^{48}$Cr. In both cases, we see a high level of agreement with the exact results. A comparison of the two shows a dramatic reduction in the fraction of the space required to achieve accuracy as the size of the problem grows.