Testing the molecular nature of ${\mathbf{D}}_{\mathbf{s}0}^{\ast }(2317)$ and ${\mathbf{D}}_0^{\ast }(2400)$ in semileptonic ${\mathbf{B}}_{\mathbf{s}}$ and $\mathbf{B}$ decays

Abstract

We study the semileptonic $B_s$ and $B$ decays into the $D_{s0}^{\ast }(2317)$ and $D_0^{\ast }(2400)$ resonances, respectively. With the help of a chiral unitarity model in coupled channels we compute the ratio of the decay widths of both processes. Using current values of the width for the ${\bar{B}}^0\to D_0^{\ast }(2400{)}^{+}{\bar{\nu }}_l{l}^{-}$ decay we make predictions for the rate of the ${\bar{B}}_s^0\to D_{s0}^{\ast }(2317{)}^{+}{\bar{\nu }}_l{l}^{-}$ decay.

16 pages, 7 figures, new references

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• Semileptonic $B$ and $B_s$ decays involving scalar and axial-vector mesons
• Production of $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ in $B$ decays as $D^{(\ast )}K$ and $D_s^{(\ast )}\eta$ molecules
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• Semileptonic decays of $B^{(\ast )}$, $D^{(\ast )}$ into $\nu l$ and pseudoscalar or vector mesons
• ${\tau }^{-}\to {\nu }_{\tau }{M}_1{M}_2$, with $M_1,M_2$ pseudoscalar or vector mesons
• Semileptonic ${\Lambda }_c$ decay to $\nu l^{+}$ and $\Lambda (1405)$
• Resonant state $D_0^{\ast }(2400)$ in the quasi-two-body $B$ meson decays
• The $D_s^{+}\to a_0(980)e^{+}{\nu }_e$ reaction and the $a_0(980)-f_0(980)$ mixing
• Signatures of the two $K_1(1270)$ poles in $D^{+}\to \nu e^{+}VP$ decay
• Chiral loops in the isospin violating decays of D_{s1}(2460) and D*_{s0}(2317)
• Semileptonic ${\Lambda }_b\to {\bar{\nu }}_{l}l{\Lambda }_c(2595)$ and ${\Lambda }_b\to {\bar{\nu }}_{l}l{\Lambda }_c(2625)$ decays in the molecular picture of ${\Lambda }_c(2595)$ and ${\Lambda }_c(2625)$
• Exploring the mass spectrum and the electromagnetic properties of the possible ${\Xi }_{cc}{K}^{(\ast )}$ and ${\Xi }_{cc}{\bar{K}}^{(\ast )}$ molecules
• Compositeness of hadrons, nuclei, and atomic systems
• Predictions of α-decay half-lives for neutron-deficient nuclei with the aid of artificial neural network
• Helicity amplitudes in $B\to D^{\ast }\bar{\nu }l$ decay
• Semileptonic decay of $B_c^{-}$ into $X(3930)$, $X(3940)$, $X(4160)$
• $\bar{K}\bar{D}N$ molecular state as a "$uuds\bar{c}$ pentaquark" in a three-body calculation
• The $D_s^{+}\to K^{+}{\pi }^{+}{\pi }^{-}$ reaction and the scalar $f_0(500)$, $f_0(980)$ and $K_0^{\ast }(700)$ resonances
• The $B^{+(0)}\to {\bar{D}}^{0(-)}{D}_{s0}^{\ast }(2317{)}^{+}$ decays and the molecular structure of $D_{s0}^{\ast }(2317)$
• Meson exchange between initial and final state and the $R_D$ ratio in the $\bar{B}\to D\bar{\nu }\ell ({\bar{\nu }}_{\tau }\tau )$ reactions
• Compositeness of Hadrons and Near-Threshold Dynamics
• Systematic exploration of triply heavy tetraquarks: spectroscopic and decay characteristics
• Resonance contributions from ${\chi }_{c0}$ in the charmless three-body hadronic $B$ meson decays