Pion scattering in the isospin 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:
- 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); 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; 034509
- Grant/Contract Number:
- FG02-95ER40907; AC05-06OR23177; SC001658MM; PHY-1151648; PHY-1452055
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D 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. https://doi.org/10.1103/PhysRevD.100.034509
Culver, C., Mai, M., Alexandru, A., Döring, M., and Lee, F. X.. Thu .
"Pion scattering in the isospin I=2 channel from elongated lattices". United States. https://doi.org/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}
}
https://doi.org/10.1103/PhysRevD.100.034509
Web of Science
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