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Title: Two- and Three-Pion Finite-Volume Spectra at Maximal Isospin from Lattice QCD

Abstract

We present the three-pion spectrum with maximal isospin in a finite volume determined from lattice QCD, including excited states in addition to the ground states across various irreducible representations at zero and nonzero total momentum. The required correlation functions, from which the spectrum is extracted, are computed using a newly implemented algorithm which speeds up the computation by more than an order of magnitude. On a subset of the data we extract a nonzero value of the three-pion threshold scattering amplitude using the 1 / $L$ expansion of the three-particle quantization condition, which consistently describes all states at zero total momentum. The finite-volume spectrum is publicly available to facilitate further explorations within the available three-particle finite-volume approaches.

Authors:
ORCiD logo;
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1569303
Alternate Identifier(s):
OSTI ID: 1574348
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Name: Physical Review Letters Journal Volume: 123 Journal Issue: 14; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Hörz, Ben, and Hanlon, Andrew. Two- and Three-Pion Finite-Volume Spectra at Maximal Isospin from Lattice QCD. United States: N. p., 2019. Web. doi:10.1103/PhysRevLett.123.142002.
Hörz, Ben, & Hanlon, Andrew. Two- and Three-Pion Finite-Volume Spectra at Maximal Isospin from Lattice QCD. United States. doi:10.1103/PhysRevLett.123.142002.
Hörz, Ben, and Hanlon, Andrew. Fri . "Two- and Three-Pion Finite-Volume Spectra at Maximal Isospin from Lattice QCD". United States. doi:10.1103/PhysRevLett.123.142002.
@article{osti_1569303,
title = {Two- and Three-Pion Finite-Volume Spectra at Maximal Isospin from Lattice QCD},
author = {Hörz, Ben and Hanlon, Andrew},
abstractNote = {We present the three-pion spectrum with maximal isospin in a finite volume determined from lattice QCD, including excited states in addition to the ground states across various irreducible representations at zero and nonzero total momentum. The required correlation functions, from which the spectrum is extracted, are computed using a newly implemented algorithm which speeds up the computation by more than an order of magnitude. On a subset of the data we extract a nonzero value of the three-pion threshold scattering amplitude using the 1 / $L$ expansion of the three-particle quantization condition, which consistently describes all states at zero total momentum. The finite-volume spectrum is publicly available to facilitate further explorations within the available three-particle finite-volume approaches.},
doi = {10.1103/PhysRevLett.123.142002},
journal = {Physical Review Letters},
number = 14,
volume = 123,
place = {United States},
year = {2019},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevLett.123.142002

Citation Metrics:
Cited by: 12 works
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    Works referencing / citing this record:

    Consistency checks for two-body finite-volume matrix elements: Conserved currents and bound states
    journal, December 2019


    Cross-channel study of pion scattering from lattice QCD
    journal, December 2019


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