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 $D_s^{+}\to \varphi {\pi }^{+}$ 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 ${\tau }_{D_s^{+}}=(0.59\pm 0.19)x10^{(}-12)s$ is computed in good agreement with the experimental one.

Comments: 11 pages, Latex, no figures