Nonleptonic $B\to D^{(\ast )}{D}_{sJ}^{(\ast )}$ decays and the nature of the orbitally excited charmed-strange mesons

Abstract

The Belle Collaboration has recently reported a study of the decays $B\to D_{s1}(2536{)}^{+}{\bar{D}}^{(\ast )}$ and has given also estimates of relevant ratios between branching fractions of decays $B\to D^{(\ast )}{D}_{sJ}^{(\ast )}$ providing important information to check the structure of the $D_{s0}^{\ast }(2317)$, $D_{s1}(2460)$ and $D_{s1}(2536)$ mesons. The disagreement between experimental data and Heavy Quark Symmetry has been used as an indication that $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ mesons could have a more complex structure than the canonical $c\bar{s}$ one. We analyze these ratios within the framework of a constituent quark model, which allows us to incorporate the effects given by finite $c$-quark mass corrections. Our findings are that while the $D_{s1}(2460)$ meson could have a sizable non-$q\bar{q}$ component, the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2536)$ mesons seem to be well described by a pure $q\bar{q}$ structure.

13 pages, 1 figure