Two-body hadronic charmed meson decays

Journal Article · Thu Apr 01 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.074021· OSTI ID:21409483

Cheng, H -Y ^[1]; Chiang, C -W ^[1]

---

1. Institute of Physics, Academia Sinica, Taipei, Taiwan 115 (China)

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 {chi}{sup 2} 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 A{sub P} and A{sub V} amplitudes cannot be completely determined based on currently available data. We conjecture that the quoted experimental results for both D{sub s}{sup +{yields}}K{sup 0}K*{sup +} and D{sub s}{sup +{yields}{rho}+{eta}'} are overestimated. We compare the sizes of color-allowed and color-suppressed tree amplitudes extracted from the diagrammatical approach with the effective parameters a{sub 1} and a{sub 2} defined in the factorization approach. The ratio |a{sub 2}/a{sub 1}| is more or less universal among the D{yields}K{pi}, K*{pi}, and K{rho} modes. This feature allows us to discriminate between different solutions of topological amplitudes. For the long-standing puzzle about the ratio {Gamma}(D{sup 0{yields}}K{sup +}K{sup -})/{Gamma}(D{sup 0{yields}{pi}+{pi}-}), we argue that, in addition to the SU(3) breaking effect in the spectator amplitudes, the long-distance resonant contribution through the nearby resonance f{sub 0}(1710) can naturally explain why D{sup 0} decays more copiously to K{sup +}K{sup -} than {pi}{sup +{pi}-} through the W-exchange topology. This has to do with the dominance of the scalar glueball content of f{sub 0}(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 D{sup 0{yields}}K{sup 0}K{sup 0} and its vanishing amplitude when SU(3) flavor symmetry is exact. Owing to the G-parity selection rule, D{sub s}{sup +{yields}{pi}+{omega}} does not receive contributions from the short-distance W-annihilation and resonant final-state interactions, but it can proceed through the weak decays D{sub s}{sup +{yields}{rho}+{eta}(')} followed by the final-state rescattering of {rho}{sup +{eta}(')} into {pi}{sup +{omega}} through quark exchange.

• OSTI ID: 21409483
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 7; Other Information: DOI: 10.1103/PhysRevD.81.074021; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANNIHILATION
BRANCHING RATIO
CHIRALITY
D NEUTRAL MESONS
FINAL-STATE INTERACTIONS
G PARITY
GLUEBALLS
KAONS MINUS
KAONS PLUS
PARTICLE DECAY
PIONS MINUS
PIONS PLUS
QUARKS
RESCATTERING
RESONANCE
SELECTION RULES
SU-3 GROUPS
SYMMETRY
SYMMETRY BREAKING
BOSONS
CHARM PARTICLES
CHARMED MESONS
D MESONS
DECAY
DIMENSIONLESS NUMBERS
ELEMENTARY PARTICLES
FERMIONS
HADRONS
INTERACTIONS
KAONS
LIE GROUPS
MESONS
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PIONS
PSEUDOSCALAR MESONS
SCATTERING
STRANGE MESONS
STRANGE PARTICLES
SU GROUPS
SYMMETRY GROUPS