English

In-Medium Similarity Renormalization Group for Nuclei

Nuclear Theory 2011-07-21 v3 Other Condensed Matter High Energy Physics - Phenomenology

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 AA-body system of interest. The in-medium approach has the advantage that one can approximately evolve 3,...,A3,...,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 4^4He, 16^{16}O and 40^{40}Ca, which have accuracies comparable to coupled-cluster calculations.

Keywords

Cite

@article{arxiv.1006.3639,
  title  = {In-Medium Similarity Renormalization Group for Nuclei},
  author = {K. Tsukiyama and S. K. Bogner and A. Schwenk},
  journal= {arXiv preprint arXiv:1006.3639},
  year   = {2011}
}

Comments

4pages, 4 figures, to be published in PRL

R2 v1 2026-06-21T15:38:03.653Z