Chiral extrapolation of the sigma resonance

We analyze results on isoscalar ππ scattering from a Nf=2+1 lattice QCD calculation by the HadronSpectrum collaboration by re-summing the two-flavor chiral scattering amplitude of the next-to-leading order in the so-called inverse amplitude method. The lattice data can be well extrapolated to the ph...

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Main Authors: Michael Döring, Bin Hu, Maxim Mai
Format: Article
Language:English
Published: Elsevier 2018-07-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269318304064
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author Michael Döring
Bin Hu
Maxim Mai
author_facet Michael Döring
Bin Hu
Maxim Mai
author_sort Michael Döring
collection DOAJ
description We analyze results on isoscalar ππ scattering from a Nf=2+1 lattice QCD calculation by the HadronSpectrum collaboration by re-summing the two-flavor chiral scattering amplitude of the next-to-leading order in the so-called inverse amplitude method. The lattice data can be well extrapolated to the physical pion mass. We also find that both I=0 and I=1 lattice data can be described simultaneously for pion masses up to Mπ=236 MeV. Our analysis of the lattice data suggests that the f0(500) or σ resonance becomes a bound state at Mπ≈320 MeV. A future lattice simulation at this pion mass can, therefore, be of large value for insight into properties of the isoscalar resonance. Keywords: Pion–pion scattering, S-matrix, resonances, Chiral extrapolations, Lattice QCD
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spelling doaj.art-3167ce7af468444897ce93037114016f2022-12-22T03:11:18ZengElsevierPhysics Letters B0370-26932018-07-01782785793Chiral extrapolation of the sigma resonanceMichael Döring0Bin Hu1Maxim Mai2Department of Physics, The George Washington University, 725 21st St. NW, Washington, DC 20052, USA; Thomas Jefferson National Accelerator Facility, 12000 Jefferson Avenue, Newport News, VA 23606, USADepartment of Physics, The George Washington University, 725 21st St. NW, Washington, DC 20052, USADepartment of Physics, The George Washington University, 725 21st St. NW, Washington, DC 20052, USA; Corresponding author.We analyze results on isoscalar ππ scattering from a Nf=2+1 lattice QCD calculation by the HadronSpectrum collaboration by re-summing the two-flavor chiral scattering amplitude of the next-to-leading order in the so-called inverse amplitude method. The lattice data can be well extrapolated to the physical pion mass. We also find that both I=0 and I=1 lattice data can be described simultaneously for pion masses up to Mπ=236 MeV. Our analysis of the lattice data suggests that the f0(500) or σ resonance becomes a bound state at Mπ≈320 MeV. A future lattice simulation at this pion mass can, therefore, be of large value for insight into properties of the isoscalar resonance. Keywords: Pion–pion scattering, S-matrix, resonances, Chiral extrapolations, Lattice QCDhttp://www.sciencedirect.com/science/article/pii/S0370269318304064
spellingShingle Michael Döring
Bin Hu
Maxim Mai
Chiral extrapolation of the sigma resonance
Physics Letters B
title Chiral extrapolation of the sigma resonance
title_full Chiral extrapolation of the sigma resonance
title_fullStr Chiral extrapolation of the sigma resonance
title_full_unstemmed Chiral extrapolation of the sigma resonance
title_short Chiral extrapolation of the sigma resonance
title_sort chiral extrapolation of the sigma resonance
url http://www.sciencedirect.com/science/article/pii/S0370269318304064
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AT binhu chiralextrapolationofthesigmaresonance
AT maximmai chiralextrapolationofthesigmaresonance