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arXiv · 2411.16014

Improved structure of calcium isotopes from ab initio calculations

M. Heinz·T. Miyagi·S. R. Stroberg·A. Tichai·K. Hebeler·A. Schwenk
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Abstract

The in-medium similarity renormalization group (IMSRG) is a powerful and flexible many-body method to compute the structure of nuclei starting from nuclear forces. Recent developments have extended the IMSRG from its standard truncation at the normal-ordered two-body level, the IMSRG(2), to a precision approximation including normal-ordered three-body operators, the IMSRG(3)-$N^7$. This improvement provides a more precise solution to the many-body problem and makes it possible to quantify many-body uncertainties in IMSRG calculations. We explore the structure of $^{44,48,52}$Ca using the IMSRG(3)-$N^7$, focusing on understanding existing discrepancies of the IMSRG(2) to experimental results. We find a significantly better description of the first $2^+$ excitation energy of $^{48}$Ca, improving the description of the shell closure at $N=28$. At the same time, we find that the IMSRG(3)-$N^7$ corrections to charge radii do not resolve the systematic underprediction of the puzzling large charge radius difference between $^{52}$Ca and $^{48}$Ca. We present estimates of many-body uncertainties of IMSRG(2) calculations applicable also to other systems based on the size extensivity of the method.

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M. Heinz, T. Miyagi, S. R. Stroberg, A. Tichai, K. Hebeler, A. Schwenk. 2025-03-10. Improved structure of calcium isotopes from ab initio calculations. https://doi.org/10.1103/physrevc.111.034311

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