$ππ$ Invariant mass spectrum in $V'\to V~ππ$ and the $f_0(600)$ pole

Details $ππ$ Invariant mass spectrum in $V'\to V~ππ$ and the $f_0(600)$ pole $ππ$ Invariant mass spectrum in $V'\to V~ππ$ and the $f_0(600)$ pole

2003-11-10

arxiv.org/abs/hep-ph/0311133v1

Phys.Rev.D69:074033,2004

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, 3 figures

Scientific paper

10.1103/PhysRevD.69.074033

We consider the phenomenological description of the two pion invariant mass spectrum in the $V' \to V \pi\pi$ decays. We study the parametrization of the amplitude involving both $S$ and $D$ wave contributions. From a fit to the two pion decays of the $ \Upsilon(nS)$ and $\Psi(nS)$ we determine the $f_0 (600)$ mass and width to be $m_{f_0}=528 \pm 32$ MeV and $\Gamma_{f_0}=413\pm 45$ MeV. The mass and width values we report correspond to the real and imaginary part of the S matrix pole respectively.

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