Finite-volume spectrum of $π^+π^+$ and $π^+π^+π^+$ systems

Maxim Mai; Michael Doring

doi:10.1103/PhysRevLett.122.062503

paper

Finite-volume spectrum of $π^{+} π^{+}$ and $π^{+} π^{+} π^{+}$ systems

arXiv:1807.04746 · doi:10.1103/PhysRevLett.122.062503

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.

version accepted for publ. in Phys. Rev. Lett

Finite-volume spectrum of $π^{+} π^{+}$ and $π^{+} π^{+} π^{+}$ systems

Abstract

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Finite-volume spectrum of π+π+ and π+π+π+ systems

Abstract

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Finite-volume spectrum of $π^{+} π^{+}$ and $π^{+} π^{+} π^{+}$ systems