B decays into radially excited charmed mesons

Abstract

It has been recently argued that some longstanding problems in semileptonic B decays can be solved provided the branching ratio for the $B\to D^{\prime (\ast )}$ semileptonic decays are large enough. We have studied these decays in a constituent quark model which has been successful in describing semileptonic and non-leptonic B decays into orbitally excited charmed mesons. Our results do not confirm the hypothesis of large branching ratios for the $B\to D^{\prime (\ast )}$ semileptonic decays. In addition, we calculate the non-leptonic $B\to D^{\prime }\pi$ decays which can provide an independent test of the form factors involved in the $B\to D^{\prime (\ast )}$ reactions.

6 pages, 3 figures. An estimation of the theoretical uncertainties and minor changes have been done

References in corpus (5)

• Constituent quark model study of the meson spectra
• Observation of new resonances decaying to $D\pi$ and $D^{\ast }\pi$ in inclusive $e^{+}{e}^{-}$ collisions near $\sqrt{s}=$10.58 GeV
• $B\to D^{(\ast )}$ Form Factors from QCD Light-Cone Sum Rules
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• Combined study of $2S$ and $1D$ open-charm mesons with natural spin-parity
• $B$ decays to radially excited $D$ mesons in Heavy Quark Effective Theory