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

Mai, M.; Döring, M.

doi:10.1103/PhysRevLett.122.062503

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

Journal Article · Wed Feb 13 00:00:00 EST 2019 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.122.062503· OSTI ID:1494650

Mai, M.; Döring, M.

Here, 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.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-06OR23177; SC0016582; PHY-1452055; MA 7156/1

OSTI ID:: 1494650

Alternate ID(s):: OSTI ID: 1494922

Report Number(s):: JLAB-THY-18-2767; DOE/OR/23177-4497; arXiv:1807.04746; PRLTAO; 062503

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Vol. 122 Journal Issue: 6; ISSN 0031-9007

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 72 works

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