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Keywords = in-medium similarity renormalization group

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12 pages, 349 KB  
Article
Surrogate Model for In-Medium Similarity Renormalization Group Method Using Dynamic Mode Decomposition
by Sota Yoshida
Particles 2025, 8(1), 13; https://doi.org/10.3390/particles8010013 - 9 Feb 2025
Viewed by 1591
Abstract
I propose a data-driven surrogate model for the In-Medium Similarity Renormalization Group (IMSRG) method using Dynamic Mode Decomposition (DMD). First, the Magnus formulation of the IMSRG is leveraged to represent the unitary transformation of many-body operators of interest. Then, snapshots of these operators [...] Read more.
I propose a data-driven surrogate model for the In-Medium Similarity Renormalization Group (IMSRG) method using Dynamic Mode Decomposition (DMD). First, the Magnus formulation of the IMSRG is leveraged to represent the unitary transformation of many-body operators of interest. Then, snapshots of these operators at different flow parameters are decomposed by DMD to approximate the IMSRG flow in a latent space. The resulting emulator accurately reproduces the asymptotic flow behavior while lowering computational costs. I demonstrate that the DMD-based emulator results in a three to five times speedup compared to the full IMSRG calculation in a few test cases based on the ground state properties of 56Ni, 16O, and 40Ca in realistic nuclear interactions. While this is still not an acceleration that is significant enough to enable us to fully quantify, e.g., statistical uncertainties using Bayesian methods, this work offers a starting point for constructing efficient surrogate models for the IMSRG. Full article
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15 pages, 456 KB  
Article
Beta Decay in Medium-Mass Nuclei with the In-Medium Similarity Renormalization Group
by Steven Ragnar Stroberg
Particles 2021, 4(4), 521-535; https://doi.org/10.3390/particles4040038 - 18 Nov 2021
Cited by 10 | Viewed by 4330
Abstract
We review the status of ab initio calculations of allowed beta decays (both Fermi and Gamow–Teller), within the framework of the valence-space in-medium similarity renormalization group approach. Full article
(This article belongs to the Special Issue Beta-Decay Processes in Nuclear Systems)
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