skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Abstract

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.

Authors:
 [1];  [2]
  1. The George Washington Univ., Washington, D.C. (United States)
  2. The George Washington Univ., Washington, D.C. (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1494650
Alternate Identifier(s):
OSTI ID: 1494922
Report Number(s):
JLAB-THY-18-2767; DOE/OR/23177-4497; arXiv:1807.04746
Journal ID: ISSN 0031-9007; PRLTAO
Grant/Contract Number:  
PHY-1452055; AC05-06OR23177; SC0016582; MA 7156/1
Resource Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 122; Journal Issue: 6; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Mai, M., and Döring, M.. Finite-Volume Spectrum of π+π+ and π+π+π+ Systems. United States: N. p., 2019. Web. doi:10.1103/PhysRevLett.122.062503.
Mai, M., & Döring, M.. Finite-Volume Spectrum of π+π+ and π+π+π+ Systems. United States. doi:10.1103/PhysRevLett.122.062503.
Mai, M., and Döring, M.. Wed . "Finite-Volume Spectrum of π+π+ and π+π+π+ Systems". United States. doi:10.1103/PhysRevLett.122.062503.
@article{osti_1494650,
title = {Finite-Volume Spectrum of π+π+ and π+π+π+ Systems},
author = {Mai, M. and Döring, M.},
abstractNote = {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.},
doi = {10.1103/PhysRevLett.122.062503},
journal = {Physical Review Letters},
number = 6,
volume = 122,
place = {United States},
year = {2019},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevLett.122.062503

Save / Share: