On the $D^+_s \to \pi^+ \pi^+ \pi^-$ - nonresonant decay in the effective quark model with chiral symmetry

Abstract

The partial widths of the decays $D^+_s \to \phi \pi^+$ and $D^+_s \to \pi^+ \pi^+ \pi^-$ - nonresonant are computed within the effective quark model with chiral symmetry involving Heavy quark effective theory (HQET) and Chiral perturbation theory at the quark level (CHPT)$_q$ with linear realization of chiral U(3) x U(3) symmetry. It is shown that for the explanation of the experimental probability of the $D^+_s \to \pi^+ \pi^+ \pi^-$ - nonresonant decay one does not need to use unnaturally heavy light current quarks as has been suggested in Ref.[1]. The life time of the $D^+_s$ - meson $\tau_{D^+_s} = (0.59\pm 0.19) x 10^(-12) s$ is computed in good agreement with the experimental one.