Two-body hadronic charmed meson decays
Journal
Physics Review
Journal Volume
D81
Pages
074021
Date Issued
2010-01
Author(s)
Cheng, Hai-Yang
Abstract
In this work we study the two-body hadronic charmed meson decays, including both the PP and VP modes. The latest experimental data are first analyzed in the diagrammatic approach. The magnitudes and strong phases of the flavor amplitudes are extracted from the Cabibbo-favored decay modes using χ2 minimization. The best-fitted values are then used to predict the branching fractions of the singly Cabibbo-suppressed and doubly Cabibbo-suppressed decay modes in the flavor SU(3) symmetry limit. We observe significant SU(3) breaking effects in some of the singly Cabibbo-suppressed channels. In the case of VP modes, we point out that the AP and AV amplitudes cannot be completely determined based on currently available data. We conjecture that the quoted experimental results for both Ds+→K̄0K *+ and Ds+→ρ+η ′ are overestimated. We compare the sizes of color-allowed and color-suppressed tree amplitudes extracted from the diagrammatical approach with the effective parameters a1 and a2 defined in the factorization approach. The ratio |a2/a1| is more or less universal among the D→K̄π, K ̄*π, and K̄ρ modes. This feature allows us to discriminate between different solutions of topological amplitudes. For the long-standing puzzle about the ratio Γ(D0→K +K-)/Γ(D0→π+π-), we argue that, in addition to the SU(3) breaking effect in the spectator amplitudes, the long-distance resonant contribution through the nearby resonance f0(1710) can naturally explain why D0 decays more copiously to K +K- than π+π- through the W-exchange topology. This has to do with the dominance of the scalar glueball content of f0(1710) and the chiral-suppression effect in the decay of a scalar glueball into two pseudoscalar mesons. The same final-state interaction also explains the occurrence of D0→K0K̄0 and its vanishing amplitude when SU(3) flavor symmetry is exact. Owing to the G-parity selection rule, Ds+→π+ω does not receive contributions from the short-distance W-annihilation and resonant final-state interactions, but it can proceed through the weak decays Ds+→ρ+η( 1′) followed by the final-state rescattering of ρ+η(′) into π+ω through quark exchange. © 2010 The American Physical Society.
Type
journal article