Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-03-14
Phys.Rev. D53 (1996) 3687-3699
Physics
High Energy Physics
High Energy Physics - Phenomenology
23 pages (Latex) including 7 figures (Postscript file).
Scientific paper
We propose a phenomenological two component model describing the decay amplitude of the process $D_s^{+} \ra 3 \pi$, whose rate has been found surprisingly large. The first component is a constant background $F_{NR}$, and the second one is a Breit-Wigner type amplitude associated to a quasi two body $f_0(980)$ $\pi^{+}$ state. We show that it is possible to reproduce the observed rate for $D_s^{+} \ra \pi^{+}\pi^{+}\pi^{-}$ as well as the two other measured branching ratios for the non resonant part and the resonant $f_0\pi^{+}$ one, with a common parameter $F_{NR}$. Predictions are given for the $D_s^{+} \ra \pi^{0}\pi^{0}\pi^{+}$ rates, as well as for the various $\pi^{+}$ and $\pi^{-}$, or $\pi^{0}$ and $\pi^{+}$ energy distributions for the two possible final states.
Gourdin M.
Keum Yong-Yeon
Pham Xuan-Yem
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