Scalar mesons in a finite volume

V. Bernard (Orsay IPN); M. Lage (Bonn U. HISKP); U.-G. Mei{\ss}ner; (Bonn U. HISKP & Juelich Forschungszentrum); A. Rusetsky (Bonn U. HISKP)

arXiv:1010.6018·hep-lat·January 27, 2011

Scalar mesons in a finite volume

V. Bernard (Orsay IPN), M. Lage (Bonn U. HISKP), U.-G. Mei{\ss}ner, (Bonn U. HISKP & Juelich Forschungszentrum), A. Rusetsky (Bonn U. HISKP)

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TL;DR

This paper explores how to determine the properties of scalar mesons f0(980) and a0(980) using finite-volume lattice QCD techniques, including twisted boundary conditions and quark mass dependence analysis.

Contribution

It introduces a method to study the nature of scalar mesons through finite-volume spectrum analysis with twisted boundary conditions and quark mass variation.

Findings

01

Finite-volume spectrum analysis can extract meson mass and width.

02

Twisted boundary conditions help study meson nature.

03

Quark mass dependence reveals internal structure.

Abstract

Using effective field theory methods, we discuss the extraction of the mass and width of the scalar mesons f0(980) and a0(980) from the finite-volume spectrum in lattice QCD. In particular, it is argued that the nature of these states can be studied by invoking twisted boundary conditions, as well as investigating the quark mass dependence of the spectrum.

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