# In-Medium Similarity Renormalization Group for Nuclei

Source: [In-Medium Similarity Renormalization Group for Nuclei](<https://www.sota2.com/research/paper/68fa2a821e209131ce83e3b4>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T13:36:45.041Z

Authors: K. Tsukiyama, S. K. Bogner, A. Schwenk

Published: 2010-06-18T08:53:15.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1006.3639>)

[PDF](<https://arxiv.org/pdf/1006.3639.pdf>)