$D_{s0}^{\ast }(2317{)}^{+}$ in the decay of $B_c$ into $J/\psi DK$

Abstract

In this paper we study the relationship between the $D_{s0}^{\ast }(2317{)}^{+}$ resonance and the decay of the $B_c$ meson into $J/\psi DK$. In this process, the $B_c$ meson decays first into $J/\psi$ and the quark pair $c\bar{s}$, and then the quark pair hadronizes into $DK$ or $D_s\eta$ components, which undergo final state interaction. This final state interaction, generating the $D_{s0}^{\ast }(2317{)}^{+}$ resonance, is described by the chiral unitary approach. With the parameters which allow us to match the pole position of the $D_{s0}^{\ast }(2317{)}^{+}$, we obtain the $DK$ invariant mass distribution of the decay $B_c\to J/\psi DK$, and also the rate for $B_c\to J/\psi D_{s0}^{\ast }(2317)$. The ratio of these two magnitude is then predicted.

10 figures

References in corpus (19)

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• Vector meson-vector meson interaction in a hidden gauge unitary approach
• Strong and radiative decays of the Ds0*(2317) meson in the DK-molecule picture
• The ρρinteraction in the hidden gauge formalism and the f_0(1370) and f_2(1270) resonances
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Cited by in corpus (9)

• A review of the open charm and open bottom systems
• Production of $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ in $B$ decays as $D^{(\ast )}K$ and $D_s^{(\ast )}\eta$ molecules
• Observation of $B_c^{+}\to J/\psi D^{(\ast )}{K}^{(\ast )}$ decays
• Combined theoretical study of the $D^{+}\to {\pi }^{+}\eta \eta$ and $D^{+}\to {\pi }^{+}{\pi }^0\eta$ reactions
• Looking for the exotic $X_0(2866)$ and its $J^P=1^{+}$ partner in the ${\bar{B}}^0\to D^{(\ast )+}{K}^{-}{K}^{(\ast )0}$ reactions
• Determination of the compositeness of resonances from decays: the case of the $B_s^0\to J/\psi f_1(1285)$
• The role of meson interactions in the $D_s^{+}\to {\pi }^{+}{\pi }^{+}{\pi }^{-}\eta$ decay
• The $B^{+(0)}\to {\bar{D}}^{0(-)}{D}_{s0}^{\ast }(2317{)}^{+}$ decays and the molecular structure of $D_{s0}^{\ast }(2317)$
• Search for the low-lying excited baryon ${\Sigma }^{\ast }(1/2^{-})$ through process ${\Lambda }_c^{+}\to \Lambda K^0{\pi }^{+}$