Bonn 2020 – scientific programme
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HK: Fachverband Physik der Hadronen und Kerne
HK 46: Structure and Dynamics of Nuclei IX
HK 46.7: Talk
Thursday, April 2, 2020, 15:45–16:00, J-HS H
Exploring alternative SRG generators in one dimension — •Matthias Heinz1, Kai Hebeler1,2, and Achim Schwenk1,2,3 — 1Institut für Kernphysik, Technische Universität Darmstadt — 2ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH — 3Max-Planck-Institut für Kernphysik, Heidelberg
The Similarity Renormalization Group (SRG) is used in nuclear theory to decouple high- and low-momentum components of nuclear interactions to improve convergence and thus reduce the computational requirements of many-body calculations. The SRG evolution is characterized by the generator, which determines toward what form the Hamiltonian is transformed. Currently, the standard choice for the generator is the kinetic energy, which evolves the Hamiltonian towards a diagonal form. However, it has been shown that significant contributions from four- and higher-body forces can be induced during the evolution, which limits the application of evolved potentials to many-body problems. Alternative generators may generate weaker many-body forces while offering the same improvements of the many-body convergence. In this talk, I will present some different generators tested in 1-D systems, analyzing their effect on many-body convergence and induced many-body forces.
This work is supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) -- Projektnummer 279384907 -- SFB 1245.