28 July 2024 to 3 August 2024
Europe/London timezone

Left-hand cut and the HAL QCD method

1 Aug 2024, 11:30
20m
Talk Hadronic and Nuclear Spectrum and Interactions Hadronic and nuclear spectrum and interactions

Speaker

Sinya Aoki (Yukawa Institute for Theoretical Physics, Kyoto University)

Description

In this talk, we discuss an issue related to the left-hand cut in the scattering amplitude, which has been recently pointed out to be relevant for an analysis on the nature of the tetra quark state $T_{cc}$.
We first discuss a relation between the left-hand cut from the Yukawa potential in non-relativistic quantum field theory and $t$-channel cut in the S-matrix for a relativistic quantum filed theory.
We then demonstrate how the issue appears in the infinite volume limit from finite volume simulations.
We finally discuss how we treat the left-hand cut in the HAL QCD potential method.

Primary authors

Sinya Aoki (Yukawa Institute for Theoretical Physics, Kyoto University) Takumi Doi (RIKEN) Yan Lyu (RIKEN)

Presentation materials