Hadronic Charmed Meson Decays Involving Tensor Mesons

Abstract

Charmed meson decays into a pseudoscalar meson P and a tensor meson T are studied. The charm to tensor meson transition form factors are evaluated in the Isgur-Scora-Grinstein-Wise (ISGW) quark model. It is shown that the Cabibbo-allowed decay $D_s^{+}\to f_2(1270){\pi }^{+}$ is dominated by the W-annihilation contribution and has the largest branching ratio in $D\to TP$ decays. We argue that the Cabibbo-suppressed mode $D^{+}\to f_2(1270){\pi }^{+}$ should be suppressed by one order of magnitude relative to $D_s^{+}\to f_2(1270){\pi }^{+}$. When the finite width effect of the tensor resonances is taken into account, the decay rate of $D\to TP$ is generally enhanced by a factor of $2\sim 3$. Except for $D_s^{+}\to f_2(1270){\pi }^{+}$, the predicted branching ratios of $D\to TP$ decays are in general too small by one to two orders of magnitude compared to experiment. However, it is very unlikely that the $D\to T$ transition form factors can be enhanced by a factor of $3\sim 5$ within the ISGW quark model to account for the discrepancy between theory and experiment. As many of the current data are still preliminary and lack sufficient statistic significance, more accurate measurements are needed to pin down the issue.

11 pages

References in corpus (8)

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• Dalitz Analysis of D^0 --> K_S^0 pi+ pi-
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Cited by in corpus (10)

• Two-body hadronic charmed meson decays
• Hadronic D decays involving even-parity light mesons
• Phenomenological studies on the $B_{d,s}^0\to J/\psi f_0(500)[f_0(980)]$ decays
• Two- and three-body hadronic decays of charmed mesons involving a tensor meson
• Measurements of the absolute branching fractions of $D^{0(+)}\to K\bar{K}\pi \pi$ decays
• Measurements of the absolute branching fractions of hadronic $D$-meson decays involving kaons and pions
• Pure annihilation decays of $B_s^0\to a_0^{+}{a}_0^{-}$ and $B_d^0\to K_0^{\ast +}{K}_0^{\ast -}$ in the PQCD approach
• Studies on the $B\to \kappa \bar{\kappa }$ decays in the perturbative QCD approach
• Tensor mesons produced in tau lepton decays
• Semileptonic and nonleptonic decays of $D$ into tensor mesons with light-cone sum rule