In-Medium Similarity Renormalization Group for Nuclei

Abstract

We present a new ab-initio method that uses similarity renormalization group (SRG) techniques to continuously diagonalize nuclear many-body Hamiltonians. In contrast with applications of the SRG to two- and three-nucleon interactions in free space, we perform the SRG evolution "in medium" directly in the $A$-body system of interest. The in-medium approach has the advantage that one can approximately evolve $3,...,A$-body operators using only two-body machinery based on normal-ordering techniques. The method is nonperturbative and can be tailored to problems ranging from the diagonalization of closed-shell nuclei to the construction of effective valence shell-model Hamiltonians and operators. We present first results for the ground-state energies of ${}^4$He, ${}^{16}$O and ${}^{40}$Ca, which have accuracies comparable to coupled-cluster calculations.

4pages, 4 figures, to be published in PRL

References in corpus (5)

• Improved nuclear matter calculations from chiral low-momentum interactions
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Recent developments in no-core shell-model calculations
• Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
• Unitary Correlation Operator Method and Similarity Renormalization Group: Connections and Differences