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Journal Article

Natural orbitals for many-body expansion methods

MPS-Authors

Tichai ,  A.
Division Prof. Dr. Klaus Blaum, MPI for Nuclear Physics, Max Planck Society;

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Schwenk,  A.
Division Prof. Dr. Klaus Blaum, MPI for Nuclear Physics, Max Planck Society;

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2009.04701.pdf
(Preprint), 647KB

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Citation

Hoppe, J., Tichai, A., Heinz, M., Hebeler, K., & Schwenk, A. (2021). Natural orbitals for many-body expansion methods. Physical Review C, 103(1): 014321. doi:10.1103/PhysRevC.103.014321.


Cite as: https://hdl.handle.net/21.11116/0000-0007-DC9E-0
Abstract
The nuclear many-body problem for medium-mass systems is commonly addressed
using wave-function expansion methods that build upon a second-quantized
representation of many-body operators with respect to a chosen computational
basis. While various options for the computational basis are available,
perturbatively constructed natural orbitals recently have been shown to lead to
significant improvement in many-body applications yielding faster model-space
convergence and lower sensitivity to basis set parameters in large-scale
no-core shell model diagonalizations. This work provides a detailed comparison
of single-particle basis sets and a systematic benchmark of natural orbitals in
non-perturbative many-body calculations using the in-medium similarity
renormalization group approach. As a key outcome we find that the construction
of natural orbitals in a large single-particle basis enables for performing the
many-body calculation in a reduced space of much lower dimension, thus offering
significant computational savings in practice that help extend the reach of ab
initio methods towards heavier masses and higher accuracy.