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

Mai, Maxim; Doring, Michael

doi:10.1103/PhysRevLett.122.062503

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

Maxim Mai
(
- George Washington U. (main)
)
,
Michael Doring
(
- George Washington U. (main) and
- Jefferson Lab
)

Jul 12, 2018

6 pages

Published in:

Phys.Rev.Lett. 122 (2019) 6, 062503

Published: Feb 14, 2019

e-Print:

1807.04746 [hep-lat]

DOI:

10.1103/PhysRevLett.122.062503

Report number:

JLAB-THY-18-2767

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Abstract: (APS)

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.

Note:

version accepted for publ. in Phys. Rev. Lett

Nuclear Physics
energy spectrum
pi pi
three-body problem
quantization
quark: mass dependence
finite size: effect
quantum chromodynamics
lattice field theory
error: statistical

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