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Title: Chiral extrapolation of the sigma resonance

Abstract

We analyze recent results on isoscalar $$\pi\pi$$ scattering from a $$N_f=2+1$$ lattice simulation 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. Here, we also find that both $I=0$ and $I=1$ lattice data can be described simultaneously for pion masses up to $$M_{\pi}=236$$ MeV. Our analysis of the lattice data suggests that the $$f_0$$ (500) or σ resonance becomes a bound state at $$M_{\pi}$$ ≈ 320 MeV. A future lattice simulation at this pion mass can, therefore, be of large value for insight into properties of the isoscalar resonance.

Authors:
 [1];  [2];  [2]
  1. George Washington Univ., Washington, DC (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  2. George Washington Univ., Washington, DC (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)
OSTI Identifier:
1475133
Report Number(s):
JLAB-THY-16-2372; DOE/OR/-23177-3974; arXiv:1610.10070
Journal ID: ISSN 0370-2693; PII: S0370269318304064
Grant/Contract Number:  
PHY-1452055; 1415459; AC05-06OR23177; SC0016582
Resource Type:
Accepted Manuscript
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 782; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Pion–pion scattering; S-matrix, resonances; Chiral extrapolations; Lattice QCD

Citation Formats

Doring, Michael U., Hu, Bin, and Mai, Maxim. Chiral extrapolation of the sigma resonance. United States: N. p., 2018. Web. doi:10.1016/j.physletb.2018.05.042.
Doring, Michael U., Hu, Bin, & Mai, Maxim. Chiral extrapolation of the sigma resonance. United States. doi:10.1016/j.physletb.2018.05.042.
Doring, Michael U., Hu, Bin, and Mai, Maxim. Wed . "Chiral extrapolation of the sigma resonance". United States. doi:10.1016/j.physletb.2018.05.042. https://www.osti.gov/servlets/purl/1475133.
@article{osti_1475133,
title = {Chiral extrapolation of the sigma resonance},
author = {Doring, Michael U. and Hu, Bin and Mai, Maxim},
abstractNote = {We analyze recent results on isoscalar $\pi\pi$ scattering from a $N_f=2+1$ lattice simulation 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. Here, we also find that both $I=0$ and $I=1$ lattice data can be described simultaneously for pion masses up to $M_{\pi}=236$ MeV. Our analysis of the lattice data suggests that the $f_0$ (500) or σ resonance becomes a bound state at $M_{\pi}$ ≈ 320 MeV. A future lattice simulation at this pion mass can, therefore, be of large value for insight into properties of the isoscalar resonance.},
doi = {10.1016/j.physletb.2018.05.042},
journal = {Physics Letters. Section B},
number = C,
volume = 782,
place = {United States},
year = {2018},
month = {5}
}

Journal Article:
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