Further study of $D_s^{+}$ decays into ${\pi }^{-}{\pi }^{+}{\pi }^{+}$

Abstract

A Dalitz plot analysis of the OZI rule violating decay $D_s^{+}$ into ${\pi }^{-}{\pi }^{+}{\pi }^{+}$ is presented using different partial wave approaches. Scalar and vector waves are described by $K$-matrices; their production is parameterized in a $P$-vector approach. Alternatively, Breit-Wigner amplitudes and Flatté parametrization are used. Special emphasis is devoted to scalar mesons. The $f_0(980)$ resonance provides the most significant contribution. Adding $f_0(1500)$ to the scalar wave leads to an acceptable fit while introduction of $f_0(1370)$ and/or $f_0(1710)$ does not lead to significant improvements. A scan of the scalar wave optimizes for $M=1452\pm 22$ MeV/c${}^2$. When $f_0(1710)$ is added, the mass uncertainty increases, and the fit yields $M=1470\pm 60$ MeV/c${}^2$ which is fully compatible with the nominal $f_0(1500)$ mass. The scalar wave seems to exhibit a phase motion of 270${}^{\circ }$ units in the mass range from 1200 to 1650 MeV/c${}^2$.

10 pages, 10 tables, 9 figures

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Cited by in corpus (4)

• The Status of Glueballs
• Can the nature of $a_0(980)$ be tested in the $D_s^{+}\to {\pi }^{+}{\pi }^0\eta$ decay?
• Theoretical study of the $D^0\to K^{-}{\pi }^{+}\eta$ reaction
• Combined theoretical study of the $D^{+}\to {\pi }^{+}\eta \eta$ and $D^{+}\to {\pi }^{+}{\pi }^0\eta$ reactions