Rigorous pion-pion scattering lengths from threshold pi N --> pi pi N data

Details Rigorous pion-pion scattering lengths from threshold pi N --> pi pi N data Rigorous pion-pion scattering lengths from threshold pi N --> pi pi N data

1997-03-05

arxiv.org/abs/hep-ph/9703247v2

Phys.Lett. B410 (1997) 311-314

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, Latex 2.09, uses epsf.sty. Amended version, including revised postscript figures (3) and added reference. To be publ

Scientific paper

10.1016/S0370-2693(97)00955-6

A new evaluation of the universal $\pi\pi$ scattering length relation is used to extract the $\pi\pi$ $s$-wave scattering lengths from threshold pion production data. Previous work has shown that the chiral perturbation series relating threshold pion production to $\pi\pi$ scattering lengths appears to converge well only for the isospin-2 case, giving $a_2 = -0.031\pm 0.007 m_\pi^{-1}$. A model-independent and data-insensitive universal curve then implies $a_0 = 0.235\pm 0.03 m_\pi^{-1}$ for the isospin-0 scattering length.

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