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In-Medium Similarity Renormalization Group for Nuclei

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arxiv 1006.3639 v3 pith:7U4IVOG7 submitted 2010-06-18 nucl-th cond-mat.otherhep-ph

K. Tsukiyama , S. K. Bogner , A. Schwenk This is my paper · ORCID
classification nucl-thcond-mat.otherhep-ph
keywords bodygrouphamiltoniansin-mediummethodnucleioperatorsrenormalization
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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Medium-mass nuclei with neural quantum states

    nucl-th 2026-07 conditional novelty 6.5 of 10

    Pfaffian-Jastrow neural quantum states yield ground-state energies and charge radii for nuclei up to A=58, with weak p-wave terms reducing average energy error to ~3% while revealing Hamiltonian sensitivity and A^3 scaling.

  2. Qcombo: A Python Package for Automated Commutator Calculations of Quantum Many-Body Operators

    nucl-th 2026-03 conditional novelty 6.0 of 10

    A new Python package automatically derives symbolic commutators of normal-ordered many-body operators and generates multi-reference IMSRG(3) flow equations.

  3. Improved structure of calcium isotopes from ab initio calculations

    nucl-th 2024-11 conditional novelty 6.0 of 10

    IMSRG(3)-N7 calculations for calcium-44, -48, and -52 show that three-body flow corrections substantially lower the 48Ca 2+ energy, improving the description of the N=28 shell closure, while leaving the 52Ca charge-ra...

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