2016
DOI: 10.1088/1402-4896/92/2/023002
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In-medium similarity renormalization group for closed and open-shell nuclei

Abstract: Abstract. We present a pedagogical introduction to the In-Medium Similarity Renormalization Group (IMSRG) framework for ab initio calculations of nuclei. The IMSRG performs continuous unitary transformations of the nuclear many-body Hamiltonian in second-quantized form, which can be implemented with polynomial computational effort. Through suitably chosen generators, it is possible to extract eigenvalues of the Hamiltonian in a given nucleus, or drive the Hamiltonian matrix in configuration space to specific s… Show more

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Cited by 86 publications
(146 citation statements)
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References 201 publications
(759 reference statements)
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“…At the conceptual level, these interactions validate the independent-particle picture underlying the shell model. They provide sufficient binding already at the mean-field level, and allow us to use it as the starting point for the treatment of correlations, either through rapidly converging non-perturbative many-body methods (127,145,146), or possibly even through finite-order perturbation theory (116,147). Furthermore, novel approaches like the valence-space IMSRG (VS-IMSRG) or shell model Coupled Cluster (SMCC), both discussed below, provide both the conceptual framework and practical tools to relate no-core and valence-space methods, as shown by the consistent ground-and excited-state results obtained thus far (see (129,143) and Sec.…”
Section: Current Status Of the Ab Initio Shell Modelmentioning
confidence: 99%
“…At the conceptual level, these interactions validate the independent-particle picture underlying the shell model. They provide sufficient binding already at the mean-field level, and allow us to use it as the starting point for the treatment of correlations, either through rapidly converging non-perturbative many-body methods (127,145,146), or possibly even through finite-order perturbation theory (116,147). Furthermore, novel approaches like the valence-space IMSRG (VS-IMSRG) or shell model Coupled Cluster (SMCC), both discussed below, provide both the conceptual framework and practical tools to relate no-core and valence-space methods, as shown by the consistent ground-and excited-state results obtained thus far (see (129,143) and Sec.…”
Section: Current Status Of the Ab Initio Shell Modelmentioning
confidence: 99%
“…In the nuclei shown, the agreement is quite satisfactory given that the chiral input Hamiltonian is entirely fixed by A ≤ 4 data. The IMSRG interactions turn out to perform quite well in the entire lower sd−shell, achieving an rms deviation of ∼ 580 keV in about 150 states [73,160]. The chiral 3N interactions are found to be of crucial importance for the correct reproduction of level orderings and spacings.…”
Section: Non-empirical Interactions For the Nuclear Shell Modelmentioning
confidence: 88%
“…The former has become maybe the most popular tool for pre-processing nuclear interactions and operators, leading to vast improvements in the rate of convergence of many-body calculations, and extending the range of nuclei that can be tackled in ab initio approaches [44,48,49,53,73,108].…”
Section: Discussionmentioning
confidence: 99%
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