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Title: Pion scattering in the isospin I = 2 channel from elongated lattices

Abstract

Pion-pion elastic scattering in the isospin I=2 channel is reported on in two-flavor dynamical lattice QCD. Six ensembles are used with lattices elongated in one of the spatial dimensions at two quark masses corresponding to a pion mass of 315 MeV and 226 MeV. The energy of the low-lying states below the inelastic threshold are extracted in each case using the standard variational method.The extracted finite-volume spectrum is fitted by the inverse amplitude method simultaneously for both quark masses and extrapolated thereafter to the physical point. The resulting phase-shifts and scattering length are compared with those from experiment, leading-order chiral perturbation theory and other lattice studies. Our measurements match the experimental results.

Authors:
 [1];  [1];  [2];  [3];  [1]
  1. George Washington Univ., Washington, DC (United States)
  2. George Washington Univ., Washington, DC (United States); Univ. of Maryland, College Park, MD (United States)
  3. George Washington Univ., Washington, DC (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); National Science Foundation (NSF)
OSTI Identifier:
1556834
Alternate Identifier(s):
OSTI ID: 1557623
Report Number(s):
JLAB-THY-19-2972; DOE/OR/-23177-4729; arXiv:1905.10202
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:  
PHY-1151648; PHY-1452055; FG02-95ER40907; AC05-06OR23177; SC001658MM
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 100; Journal Issue: 3; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Culver, C., Mai, M., Alexandru, A., Döring, M., and Lee, F. X. Pion scattering in the isospin I=2 channel from elongated lattices. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.100.034509.
Culver, C., Mai, M., Alexandru, A., Döring, M., & Lee, F. X. Pion scattering in the isospin I=2 channel from elongated lattices. United States. doi:10.1103/PhysRevD.100.034509.
Culver, C., Mai, M., Alexandru, A., Döring, M., and Lee, F. X. Mon . "Pion scattering in the isospin I=2 channel from elongated lattices". United States. doi:10.1103/PhysRevD.100.034509.
@article{osti_1556834,
title = {Pion scattering in the isospin I=2 channel from elongated lattices},
author = {Culver, C. and Mai, M. and Alexandru, A. and Döring, M. and Lee, F. X.},
abstractNote = {Pion-pion elastic scattering in the isospin I=2 channel is reported on in two-flavor dynamical lattice QCD. Six ensembles are used with lattices elongated in one of the spatial dimensions at two quark masses corresponding to a pion mass of 315 MeV and 226 MeV. The energy of the low-lying states below the inelastic threshold are extracted in each case using the standard variational method.The extracted finite-volume spectrum is fitted by the inverse amplitude method simultaneously for both quark masses and extrapolated thereafter to the physical point. The resulting phase-shifts and scattering length are compared with those from experiment, leading-order chiral perturbation theory and other lattice studies. Our measurements match the experimental results.},
doi = {10.1103/PhysRevD.100.034509},
journal = {Physical Review D},
number = 3,
volume = 100,
place = {United States},
year = {2019},
month = {8}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.100.034509

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Works referenced in this record:

Three-particle quantization condition in a finite volume: 2. General formalism and the analysis of data
journal, October 2017

  • Hammer, Hans-Werner; Pang, Jin-Yi; Rusetsky, Akaki
  • Journal of High Energy Physics, Vol. 2017, Issue 10, 31 p.
  • DOI: 10.1007/JHEP10(2017)115