Non-leptonic decays of Charmed mesons into two Pseudoscalars

Abstract

We examine the role of resonant coupled channel final state interactions (FSI), as well as weak annihilation and exchange contributions in explaining all the two body hadronic $D\to PP$ decay modes data. In the un-unitarized amplitudes we include modified Wilson coefficients with non-factorizable corrections as parameters. For the hadronic form factors, the z-series expansion method is used to get the $q^2$ dependence. The FSI effects are incorporated via a phenomenological approach with widths of resonances to various channels taken from observations where available, and others as additional parameters to be determined from fits of all the theoretical rates to the measured ones. Our results for the rather hard to explain $D^0\to K^{+}{K}^{-},{\pi }^{+}{\pi }^{-}$ are in agreement with measured values. We demonstrate that both weak exchange as well as FSI effects are required to get the correct branching ratio for the $D^{\to }{K}^0\overline{K^0}$ mode. Using our unitarized amplitudes we evaluate the strong phase difference between the amplitudes for $D^0\to K^{-}{\pi }^{+}$ and $D^0\to K^{+}{\pi }^{-}$ and find it to be in complete agreement with the recent BES III result.

33 pages, 2 figures, Error in one of the experimental branching ratio corrected and fits redone. Main conclusions remain unaltered, additional concluding statements added, references and acknowledgements updated

References in corpus (15)

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• Branching ratios and direct CP asymmetries in $D\to PP$ decays
• Identification of a Scalar Glueball
• Charm Meson Decays
• $D\to K,l\nu$ Semileptonic Decay Scalar Form Factor and $|V_{cs}|$ from Lattice QCD
• Measurement of the difference of CP-violating asymmetries in D0 -> K+K- and D0 ->pi+pi- decays at CDF
• Shedding light on CP violation in the charm system via D to V gamma decays
• Measurement of the $D\to K^{-}{\pi }^{+}$ strong phase difference in $\psi (3770)\to D^0\overline{D}{}^0$
• $D_s\to \eta ,{\eta }^{\prime }$ semileptonic decay form factors with disconnected quark loop contributions
• Visualization of semileptonic form factors from lattice QCD
• Flavor symmetry and decays of charmed mesons to pairs of light pseudoscalars
• Determination of the $\eta$-${\eta }^{\prime }$ mixing angle
• Strong phases, asymmetries, and SU(3) symmetry breaking in D --> K pi decays
• SU(3) in D decays: From $30\%$ symmetry breaking to $10^{-4}$ precision
• Accurate measurement of the D0-D0bar mixing parameters

Cited by in corpus (8)

• On $SU(3{)}_F$ Breaking through Final State Interactions and CP Asymmetries in $D\to PP$ Decays
• Parametrizations of three-body hadronic $B$- and $D$-decay amplitudes in terms of analytic and unitary meson-meson form factors
• $D^0$-${\overline{D}}^0$ mixing parameter $y$ in the factorization-assisted topological-amplitude approach
• $CP$ asymmetries in charm decays into neutral kaons
• Enhanced charm CP asymmetries from final state interactions
• Measurements of the branching fractions for $D^{+}\to K_S^0{K}_S^0{K}^{+}$, $K_S^0{K}_S^0{\pi }^{+}$ and $D^0\to K_S^0{K}_S^0$, $K_S^0{K}_S^0{K}_S^0$
• CP asymmetries in $D\to P{P}^{\prime }$ decays
• Sensitivity of Two-Body Non-Leptonic Branching Fractions to Theoretical Mass Variations in Heavy-Light Mesons