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HK: Fachverband Physik der Hadronen und Kerne
HK 42: Structure and Dynamics of Nuclei IX
HK 42.5: Talk
Wednesday, March 13, 2024, 16:45–17:00, HBR 19: C 5b
Application of eigenvector continuation to nuclear many-body problems — •Margarida Companys Franzke1,2,3, Kai Hebeler1,2,3, Takayuki Miyagi1,2,3, Alexander Tichai1,2,3, 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
The design of emulation techniques for the evaluation of many-body observables is attracting increasing attention over the past years. In particular the framework of eigenvector continuation (EC) has been identified as a powerful tool once the system's Hamiltonian admits for a parametric dependence. Since Hamiltonians generated by effective field theory have a parametric dependence on low-energy constants (LECs), EC is applicable. In this application the emulator is trained on a small set of data generated by the Hatree-Fock method for varying LECs. Once the ground state is emulated, it can be used to obtain other observables, such as radii, and explore the sensitivity to the LECs in nuclear forces.
* Funded by the ERC Grant Agreement No. 101020842
Keywords: Eigenvector continuation; Hartree-Fock method; Chiral EFT