Hadronic B Decays Involving Even Parity Charmed Mesons

Abstract

Hadronic B decays containing an parity-even charmed meson in the final state are studied. Specifically we focus on the Cabibbo-allowed decays $\bar{B}\to D^{\ast \ast }\pi (\rho ),D^{\ast \ast }{\bar{D}}_s^{(\ast )},{\bar{D}}_s^{\ast \ast }{D}^{(\ast )}$ and ${\bar{B}}_s\to D_s^{\ast \ast }\pi (\rho )$, where $D^{\ast \ast }$ denotes generically a p-wave charmed meson. The $B\to D^{\ast \ast }$ transition form factors are studied in the improved version of the Isgur-Scora-Grinstein-Wise quark model. We apply heavy quark effective theory and chiral symmetry to study the strong decays of p-wave charmed mesons and determine the magnitude of the $D_1^{1/2}-D_1^{3/2}$ mixing angle. Except the decay to $D_1(2427{)}^0{\pi }^{-}$ the predictions for $B^{-}\to D^{\ast \ast 0}{\pi }^{-}$ agree with experiment. The sign of $D_1^{1/2}-D_1^{3/2}$ mixing angle is found to be positive in order to avoid a severe suppression on the production of $D_1(2427{)}^0{\pi }^{-}$. The interference between color-allowed and color-suppressed tree amplitudes is expected to be destructive in the decay $B^{-}\to D_1(2427{)}^0{\pi }^{-}$. Hence, an observation of the ratio $D_1(2427{)}^0{\pi }^{-}/D_1(2427{)}^{+}{\pi }^{-}$ can be used to test the relative signs of various form factors as implied by heavy quark symmetry. Although the predicted $B^{-}\to D_1(2420{)}^0{\rho }^{-}$ at the level of $3\times 10^{-3}$ exceeds the present upper limit, it leads to the ratio $D_1(2420){\rho }^{-}/D_1(2420){\pi }^{-}\approx 2.6$ as expected from the factorization approach and from the ratio $f_{\rho }/f_{\pi }\approx 1.6$ . Therefore, it is crucial to have a measurement of this mode to test the factorization hypothesis. For $\bar{B}\to {\bar{D}}_s^{\ast \ast }D$ decays, it is expected that $\bar D_{s0}^*D\gsim \bar D_{s1}D$ as the decay constants of the multiplet $(D_{s0}^{\ast },D_{s1})$ become the same in the heavy quark limit.

27 pages, Belle's new data on DD_s^{**} productions in B decays and on the radiative decay D_{s1}-> D_sγare updated and discussed. Add two references

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Cited by in corpus (26)

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• Ds0*(2317) and Ds1(2460) mesons in two-body B-meson decays
• Strong decays of $D_{sJ}(2317)$ and $D_{sJ}(2460)$
• Semileptonic $B$ and $B_s$ decays involving scalar and axial-vector mesons
• Nonleptonic two-body B-decays including axial-vector mesons in the final state
• The decays $\bar{B}\to D^{\ast \ast }\pi$ and the Isgur-Wise functions ${\tau }_{1/2}(w)$, ${\tau }_{3/2}(w)$
• Production of P-wave Charmed Mesons in Hadronic B Decays
• Decays of bottom mesons emitting pseudoscalar and tensor mesons in ISGW II model
• Quasi-two-body decays $B_{(s)}\to P{D}_0^{\ast }(2400)\to PD\pi$ in the perturbative QCD approach
• Nonleptonic Weak Decays of B to D_s and D mesons
• Light-Front Approach for Pentaquark Strong Decays
• Resonant state $D_0^{\ast }(2400)$ in the quasi-two-body $B$ meson decays
• The Strong Decays of $P-$wave Mixing Heavy-Light $1^{+}$ States
• Decays of bottom mesons emitting tensor meson in final state using ISGW II model
• Branching ratios of Bc Meson Decaying to Pseudoscalar and Axial-Vector Mesons
• The rare semi-leptonic $B_c$ decays involving orbitally excited final mesons
• Branching ratios of $B_c$ Meson Decaying to Vector and Axial-Vector Mesons
• Study of $B\to D^{\ast \ast }\pi$ decays
• Charmless Final State Interaction in B-> pi pi decays
• First Estimates of Nonleptonic $B_c\to AT$ Weak Decays
• Tensor mesons produced in tau lepton decays
• Investigation of the $D_{s1}$ structure via $B_c$ to $D_{s1}{l}^{+}{l}^{-}/\nu \bar{\nu }$ transitions in QCD
• The $B^{+(0)}\to {\bar{D}}^{0(-)}{D}_{s0}^{\ast }(2317{)}^{+}$ decays and the molecular structure of $D_{s0}^{\ast }(2317)$
• Resonance contributions from ${\chi }_{c0}$ in the charmless three-body hadronic $B$ meson decays