$\pi \pi$ Invariant mass spectrum in $V^{\prime }\to V\pi \pi$ and the $f_0(600)$ pole

Abstract

We consider the phenomenological description of the two pion invariant mass spectrum in the $V^{\prime }\to V\pi \pi$ 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 ${\rm Y}(nS)$ 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.

arXiv comment19 pages, 3 figures

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