Köln 2025 – wissenschaftliches Programm
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HK: Fachverband Physik der Hadronen und Kerne
HK 14: Structure and Dynamics of Nuclei V
HK 14.3: Vortrag
Dienstag, 11. März 2025, 14:45–15:00, HS 2 Physik
Uncertainty quantification for nuclear structure calculations using similarity-renormalization-group-evolved potentials — •Tom Plies1,2, Matthias Heinz1,2,3, and Achim Schwenk1,2,3 — 1Technische Universität Darmstadt, Department of Physics — 2ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH — 3Max-Planck Institut für Kernphysik, Heidelberg
Uncertainty quantification is a key aspect in modern nuclear theory. Nuclear Hamiltonians are uncertain, with the uncertainty residing in the low-energy constants (LECs) parametrizing the interactions. As these parameter-dependent interactions are used as input for nuclear structure calculations, distributions of many-body observables can be inferred from distributions of LECs. To apply these approaches to potentials transformed to low resolution through the similarity renormalization group, we deploy the singular value decomposition to recover a linear operator basis for our interactions. We use Bayesian methods to infer distributions for the LECs from the theoretical uncertainties in nucleon-nucleon phase shifts and triton observables. We then sample from the LEC posteriors to obtain distributions for the ground-state observables of calcium isotopes. Through this, we investigate the discrepancy between theoretical and experimental trends in calcium charge radii.
* Funded by the ERC Grant Agreement No. 101020842 and by the DFG -- Project-ID 279384907 -- SFB 1245.
Keywords: Uncertainty quantification; Nuclear structure; Bayesian methods