26–30 Aug 2024
Ruhr University Bochum, Germany
Europe/Berlin timezone

A Novel Method for Determining Resonance Positions in Finite Volume

27 Aug 2024, 17:20
20m
Saal 1 (Convention Centre)

Saal 1

Convention Centre

Working group talk WG1: Goldstone-Boson Dynamics WG1 parallel session

Speaker

Congwu Wang (Ruhr University Bochum/Fudan Univ.)

Description

We introduce a novel method that utilizes the overlaps between test states and Hamiltonian eigenstates to determine resonance positions, applicable both in lattice and in finite-volume continuum calculations. We demonstrate the efficiency of this method through explicit examples. Using simple spatially compact test states, we obtained Breit-Wigner peaks in the energy distribution for the overlaps (which we call the “spectral overlap function”) as anticipated. The extrapolated resonance positions in the infinite-volume and continuum limit compare well with the exact values. The Monte-Carlo version of this technique for nuclear lattice EFT is currently under development.

Primary authors

Congwu Wang (Ruhr University Bochum/Fudan Univ.) Dean Lee (Michigan State University) Evgeny Epelbaum (Ruhr University Bochum) Hermann Krebs (Ruhr University Bochum) Lukas Bovermann (Ruhr University Bochum)

Presentation materials