Hadronic D Decays Involving Scalar Mesons

Abstract

The nonleptonic weak decays of charmed mesons into a scalar meson and a pseudoscalar meson are studied. The scalar mesons under consideration are $\sigma$ [or $f_0(600)$], $\kappa$, $f_0(980)$, $a_0(980)$ and $K_0^{\ast }(1430)$. A consistent picture provided by the data implies that the light scalars below or near 1 GeV form an SU(3) flavor nonet and are predominately the $q^2{\bar{q}}^2$ states, while the scalar mesons above 1 GeV can be described as a $q\bar{q}$ nonet. Hence, we designate $q^2{\bar{q}}^2$ to $\sigma ,\kappa ,a_0(980),f_0(980)$ and $q\bar{q}$ to $K_0^{\ast }$. Sizable weak annihilation contributions induced from final-state interactions are essential for understanding the data. Except for the Cabibbo doubly suppressed channel $D^{+}\to f_0{K}^{+}$, the data of $D\to \sigma \pi ,f_0\pi ,f_{0}K,K_0^{\ast }\pi$ can be accommodated in the generalized factorization approach. However, the predicted rates for $D\to a_0\pi ,a_{0}K$ are too small by one to two orders of magnitude when compared with the preliminary measurements. Whether or not one can differentiate between the two-quark and four-quark pictures for the $f_0(980)$ produced in the hadronic charm decays depends on the isoscalar $f_0-\sigma$ mixing angle in the $q\bar{q}$ model.

27 pages, 3 figures, version to appear in Phys. Rev

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• A low-lying scalar meson nonet in a unitarized meson model
• Dalitz Analysis of D^0 --> K_S^0 pi+ pi-
• Two-Body Cabibbo-Suppressed Charmed Meson Decays
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