Document Type

Article

Publication Date

2017

DOI

10.1103/PhysRevLett.118.022002

Publication Title

Physical Review Letters

Volume

118

Pages

022002 (1-6)

Abstract

We present for the first time a determination of the energy dependence of the isoscalar ππ elastic scattering phase shift within a first-principles numerical lattice approach to QCD. Hadronic correlation functions are computed including all required quark propagation diagrams, and from these the discrete spectrum of states in the finite volume defined by the lattice boundary is extracted. From the volume dependence of the spectrum, we obtain the S-wave phase shift up to the KK¯ threshold. Calculations are performed at two values of the u, d quark mass corresponding to mπ=236,391  MeV, and the resulting amplitudes are described in terms of a σ meson which evolves from a bound state below the 𝜋𝜋 threshold at the heavier quark mass to a broad resonance at the lighter quark mass.

Comments

© 2017 American Physical Society

"Yes, the author or the author's employer may use all or part of the APS published article, including the APS-prepared version (e.g., the PDF from the online journal) without revision or modification, on the author's or employer's website as long as a fee is not charged. If a fee is charged, then APS permission must be sought. In all cases, the appropriate bibliographic citation and notice of the APS copyright must be included."

Original Publication Citation

Briceño, R.A., Dudek, J.J., Edwards, R.G., Wilson, D.J. (2017) Isoscalar 𝜋𝜋 scattering and the σ meson resonance from QCD. Physical Review Letters, 118(2) 1-6, Article 022002. https://doi.org/10.1103/PhysRevLett.118.022002

ORCID

0000-0003-1109-1473 (Briceño)

Download

Share

COinS