arXiv:hep-ph/0311133·v1·High Energy Physics — Phenomenology

$π π$ Invariant mass spectrum in $V^{'} \to V π π$ and the $f_{0} (600)$ pole

A. Gallegos (1) · J. L. Lucio M. (1) · J. Pestieau (2) ((1) Instituto de Fisica de la Universidad de Guanajuato, Leon, Mexico, (2) Institut de Physique Theorique, Universite Catholique de Louvain, Louvain la Neuve, Belgium)

We consider the phenomenological description of the two pion invariant mass spectrum in the $V^{'} \to V π π$ 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 $Υ (n S)$ and $Ψ (n S)$ we determine the $f_{0} (600)$ mass and width to be $m_{f_{0}} = 528 \pm 32$ MeV and $Γ_{f_{0}} = 413 \pm 45$ MeV. The mass and width values we report correspond to the real and imaginary part of the S matrix pole respectively.

Comments: 19 pages, 3 figures

ππ Invariant mass spectrum in V′→V ππ and the f0​(600) pole

Abstract

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$π π$ Invariant mass spectrum in $V^{'} \to V π π$ and the $f_{0} (600)$ pole

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