Lattice improvement of nuclear shape calculations using unitary transformations

30 Jul 2021, 06:15
15m

Speaker

Lukas Bovermann (Ruhr-Universität Bochum)

Description

We present a method to improve the lattice effective field theory description of the shape of atomic nuclei by applying unitary transformations to the Hamiltonian. The employed unitary operator is constructed as a reflection transformation from the original and the desired wave function. Similarly to a derivative expansion, it can be improved systematically so that one can tune the $\langle r^n \rangle$ expectation values order by order for the two-particle system. Moreover, the effects of the three-particle operators induced by the unitary transformation have been investigated. The method might be helpful to reduce lattice artifacts in radii and electromagnetic moments.

Primary authors

Lukas Bovermann (Ruhr-Universität Bochum) Evgeny Epelbaum (Ruhr-Universität Bochum) Hermann Krebs (Ruhr-Universität Bochum) Dean Lee (Michigan State University)

Presentation materials