Work

Pole-expansion of two-hadron imaginary-time correlation function: A new analysis method for unstable states in lattice QCD

Year: 2025

Type: article

Abstract: We analyze the pole expansion of the two-hadron imaginary-time correlation function. We first explain the general idea that the imaginary-time correlation function is expressed as a sum of the pole terms, the Mittag-Leffler expansion, in terms of the uniformization variable, which makes the S-matrix single-valued. We then derive explicit expressions of the pole expansion for the single-channel ( ρ meson) and two-channel [ Λ ( 1405 ) ] examples and demonstrate that the pole expansion actually holds employing phenomenological models, the vector-dominance model for the ρ meson and the chiral unitary model for Λ ( 1405 ) . From this observation we propose the pole expansion as a method to extract information of unstable states such as masses and widths from the two-hadron imaginary-time correlation functions obtained by lattice quantum chromodynamics (QCD) simulations.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/yjz9-9d8y

Authors: Wren Yamada, Osamu Morimatsu, Toru Sato, Koichi Yazaki

Institutions: RIKEN, RIKEN Center for Interdisciplinary Theoretical and Mathematical Sciences, High Energy Accelerator Research Organization, The University of Osaka

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4413827498

FWCI: 0.954

Cites: 42

Cited by: 2

Related to: 10