Chiral extrapolation of the sigma resonance
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.
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- Grant/Contract Number:
- AC05-06OR23177; SC0016582; PHY-1452055; 1415459
- OSTI ID:
- 1580441
- Alternate ID(s):
- OSTI ID: 1475133
- Report Number(s):
- JLAB-THY-16-2372; DOE/OR/-23177-3974; arXiv:1610.10070; S0370269318304064; PII: S0370269318304064
- Journal Information:
- Physics Letters B, Journal Name: Physics Letters B Vol. 782 Journal Issue: C; ISSN 0370-2693
- Publisher:
- ElsevierCopyright Statement
- Country of Publication:
- Netherlands
- Language:
- English
Web of Science
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