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How to renormalize coupled cluster theory

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abstract

Coupled cluster theory is an attractive tool to solve the quantum many-body problem because its singles and doubles (CCSD) approximation is computationally affordable and yields about 90% of the correlation energy. Capturing the remaining 10%, e.g. via including triples, is numerically expensive. Here we assume that short-range three-body correlations dominate and - following Lepage [How to renormalize the Schr\"odinger equation, arXiv:nucl-th/9706029] - that their effects can be included within CCSD by renormalizing the three-body contact interaction. We renormalize this contact in $^{16}$O and obtain accurate CCSD results for $^{24}$O, $^{20-34}$Ne, $^{40,48}$Ca, $^{78}$Ni, $^{90}$Zr, and $^{100}$Sn.

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nucl-th 1

years

2025 1

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CONDITIONAL 1

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  • A nuclear mass model rooted in chiral effective field theory nucl-th · 2025-04-29 · conditional · none · ref 46 · internal anchor

    A Hartree-Fock model with 11 chiral low-energy constants fitted to 18 nuclei reaches 3.5 MeV RMS on 107 even-even nuclei, worse than a liquid-drop fit to the same data.