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Title: Extraction of isoscalar π π phase shifts from lattice QCD

Abstract

Here, we conduct a two-flavor ( N f = 2) lattice QCD calculation of the elastic phase shifts for pion-pion scattering in the scalar, isoscalar channel (the σ-meson). The calculation is performed for two quark masses corresponding to pion masses of 315 and 227 MeV. The σ-meson parameters are extracted using various parametrizations of the scattering amplitude. The results obtained from a chiral unitary parametrization are extrapolated to the physical point and read M σ = (440 +10 –16(50) – i240(20)(25)) MeV, where the uncertainties in the parentheses denote the stochastic and systematic ones. The behavior of the σ-meson parameters with increasing pion mass is discussed as well.

Authors:
 [1];  [2];  [3];  [1];  [4]
  1. The George Washington Univ., Washington, D.C. (United States)
  2. The George Washington Univ., Washington, D.C. (United States); Univ. of Maryland, College Park, MD (United States); Univ. of Bern, Bern (Switzerland)
  3. Institute of Physics of the Univ. of Sao Paulo, Sao Paulo (Brazil)
  4. 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, Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1460031
Alternate Identifier(s):
OSTI ID: 1460363
Report Number(s):
JLAB-THY-18-2662; DOE/OR/23177-4367; arXiv:1803.02897
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:  
PHY-1151648; PHY-1452055; FG02-95ER40907; AC05-06OR23177
Resource Type:
Journal Article: Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 98; Journal Issue: 1; 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

Citation Formats

Guo, D., Alexandru, A., Molina, R., Mai, M., and Doring, M.. Extraction of isoscalar ππ phase shifts from lattice QCD. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.98.014507.
Guo, D., Alexandru, A., Molina, R., Mai, M., & Doring, M.. Extraction of isoscalar ππ phase shifts from lattice QCD. United States. doi:10.1103/PhysRevD.98.014507.
Guo, D., Alexandru, A., Molina, R., Mai, M., and Doring, M.. Thu . "Extraction of isoscalar ππ phase shifts from lattice QCD". United States. doi:10.1103/PhysRevD.98.014507.
@article{osti_1460031,
title = {Extraction of isoscalar ππ phase shifts from lattice QCD},
author = {Guo, D. and Alexandru, A. and Molina, R. and Mai, M. and Doring, M.},
abstractNote = {Here, we conduct a two-flavor (Nf = 2) lattice QCD calculation of the elastic phase shifts for pion-pion scattering in the scalar, isoscalar channel (the σ-meson). The calculation is performed for two quark masses corresponding to pion masses of 315 and 227 MeV. The σ-meson parameters are extracted using various parametrizations of the scattering amplitude. The results obtained from a chiral unitary parametrization are extrapolated to the physical point and read Mσ = (440+10–16(50) – i240(20)(25)) MeV, where the uncertainties in the parentheses denote the stochastic and systematic ones. The behavior of the σ-meson parameters with increasing pion mass is discussed as well.},
doi = {10.1103/PhysRevD.98.014507},
journal = {Physical Review D},
number = 1,
volume = 98,
place = {United States},
year = {Thu Jul 12 00:00:00 EDT 2018},
month = {Thu Jul 12 00:00:00 EDT 2018}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevD.98.014507

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