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...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Elsevier
2018-07-01
|
Series: | Physics Letters B |
Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269318304064 |
_version_ | 1811276747450089472 |
---|---|
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 |
first_indexed | 2024-04-13T00:03:19Z |
format | Article |
id | doaj.art-3167ce7af468444897ce93037114016f |
institution | Directory Open Access Journal |
issn | 0370-2693 |
language | English |
last_indexed | 2024-04-13T00:03:19Z |
publishDate | 2018-07-01 |
publisher | Elsevier |
record_format | Article |
series | Physics Letters B |
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 |
work_keys_str_mv | AT michaeldoring chiralextrapolationofthesigmaresonance AT binhu chiralextrapolationofthesigmaresonance AT maximmai chiralextrapolationofthesigmaresonance |