Finite-Volume Spectrum of ${\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{+}$ and ${\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{+}$ Systems

Open Access

Finite-Volume Spectrum of $π^{+} π^{+}$ and $π^{+} π^{+} π^{+}$ Systems

M. Mai and M. Döring

Phys. Rev. Lett. 122, 062503 – Published 13 February 2019

Abstract

The ab initio understanding of hadronic three-body systems above threshold, such as exotic resonances or the baryon spectrum, requires the mapping of the finite-volume eigenvalue spectrum, produced in lattice QCD calculations, to the infinite volume. We present the first application of such a formalism to a physical system in form of three interacting positively charged pions. The results for the ground state energies agree with the available lattice QCD results by the NPLQCD collaboration at unphysical pion masses. Extrapolations to physical pion masses are performed using input from effective field theory. The excited energy spectrum is predicted. This demonstrates the feasibility to determine three-body amplitudes above threshold from lattice QCD, including resonance properties of axial mesons, exotics, and excited baryons.

Received 24 July 2018
Revised 14 January 2019

DOI:https://doi.org/10.1103/PhysRevLett.122.062503

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Chiral perturbation theory Few-body systems Lattice QCD Scattering theory

Baryons Exotic baryons Hybrid mesons Mesons

Nuclear Physics

Authors & Affiliations

M. Mai^1,* and M. Döring^1,2,†

¹Institute for Nuclear Studies and Department of Physics, The George Washington University, Washington, DC 20052, USA
²Thomas Jefferson National Accelerator Facility, Newport News, Virginia 23606, USA

^*maximmai@gwu.edu
^†doring@gwu.edu

Article Text

Click to Expand

Supplemental Material

Click to Expand

References

Click to Expand

Issue

Vol. 122, Iss. 6 — 15 February 2019

Reuse & Permissions

Author publication services for translation and copyediting assistance advertisement

Physical Review Letters

Finite-Volume Spectrum of π+π+ and π+π+π+ Systems

M. Mai and M. Döring

Phys. Rev. Lett. 122, 062503 – Published 13 February 2019

Abstract

Physics Subject Headings (PhySH)

Authors & Affiliations

Article Text

Supplemental Material

References

Issue

Authorization Required

Other Options

Download & Share

Images

Figure 1

Figure 2

Reuse & Permissions

Log In

Search

Article Lookup

Paste a citation or DOI

Enter a citation

Finite-Volume Spectrum of $π^{+} π^{+}$ and $π^{+} π^{+} π^{+}$ Systems