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

TL;DR

This paper investigates the structure of orbitally excited charmed-strange mesons through B meson decay ratios, suggesting some mesons may have complex structures beyond simple quark-antiquark pairs.

Contribution

It applies a constituent quark model with finite charm-quark mass corrections to analyze decay ratios, providing insights into the mesons' internal structures.

Findings

$D_{s1}(2460)$ may have a non-$qar{q}$ component

$D_{s0}^{ ext{*}}(2317)$ and $D_{s1}(2536)$ are well described as pure $qar{q}$

Results help clarify the nature of 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.