Production of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msubsup><mml:mi>D</mml:mi><mml:mrow><mml:mi>s</mml:mi><mml:mn>0</mml:mn></mml:mrow><mml:mo>*</mml:mo></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mn>2317</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi>s</mml:mi><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>2460</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi></mml:math> decays as <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>D</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mo>*</mml:mo><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msup><mml:mi>K</mml:mi></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msubsup><mml:mi>D</mml:mi><mml:mi>s</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mo>*</mml:mo><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msubsup><mml:mi>η</mml:mi></mml:math> molecules
Ming-Zhu Liu, Xi-Zhe Ling, Li‐Sheng Geng, En Wang, Ju-Jun Xie
Abstract
The molecular nature of ${D}_{s0}^{*}(2317)$ and ${D}_{s1}(2460)$ have been extensively studied from the perspective of their masses, decay properties, and production rates. In this work, we study the weak decays of $B\ensuremath{\rightarrow}{\overline{D}}^{(*)}{D}_{s0}^{*}(2317)$ and $B\ensuremath{\rightarrow}{\overline{D}}^{(*)}{D}_{s1}(2460)$ by invoking triangle diagrams where the $B$ meson first decays weakly into ${\overline{D}}^{(*)}{D}_{s}^{(*)}$ and $J/\ensuremath{\psi}K({\ensuremath{\eta}}_{c}K$), and then the ${D}_{s0}^{*}(2317)$ and ${D}_{s1}(2460)$ are dynamically generated by the final-state interactions of ${D}_{s}^{(*)}\ensuremath{\eta}$ and ${D}^{(*)}K$ via exchanges of $\ensuremath{\eta}$ and ${D}^{(*)}$ mesons. The obtained absolute branching fractions of $\mathrm{Br}[B\ensuremath{\rightarrow}{\overline{D}}^{(*)}{D}_{s0}^{*}(2317)]$ are in reasonable agreement with the experimental data, while the branching fractions of $\mathrm{Br}[B\ensuremath{\rightarrow}{\overline{D}}^{(*)}{D}_{s1}(2460)]$ are smaller than the experimental central values by almost a factor of two to three. We tentatively attribute such a discrepancy to either reaction mechanisms missing in the present work or the likely existence of a relatively larger $c\overline{s}$ component in the ${D}_{s1}(2460)$ wave function.