The $D_{s0}^{*}(2317)D$ and $D_{s1}^{*}(2460)D^{*}$ heavy meson systems can exchange a kaon that is emitted in the S-wave due to the opposite intrinsic parity of the $D_{s0}^{*}(D_{s1}^{*})$ and $D(D^{*})$ mesons. As a consequence of the mass difference of the $D_{s0}^{*}(D_{s1}^{*})$ and $D(D^{*})$ mesons, the range of the kaon exchange potential will be significantly longer than expected, corresponding to an effective mass of about 200 MeV. The potential will be very strong: the strength of the interaction is proportional to $(m_{D_{s0}}-m_D{)}^2/f_{\pi }^2$ and $(m_{D_{s1}}-m_{D^{*}}{)}^2/f_{\pi }^2$. This combination of range and strength almost guarantees the existence of $D_{s0}^{*}(2317)D$ and $D_{s1}^{*}(2460)D^{*}$ bound states with $J^P=0^{-}$ and $J^P=0^{-}$, $2^{-}$, respectively. Concrete calculations indicate a binding energy of 5–15 MeV independently of $J^P$. The $D_{s0}^{*}(2317)D$ and $D_{s1}^{*}(2460)D^{*}$ molecules have manifestly exotic flavor quantum numbers: $C=2$, $S=1$, and $I=1/2$. We expect the existence of bottom counterparts composed of the $B{B}_{s0}$ and $B^{*}{B}_{s1}^{*}$ mesons, which will be more bound and have a richer spectrum that might include a shallow P-wave state and an excited S-wave state.

• Received 16 August 2017
• Revised 20 June 2018

DOI:https://doi.org/10.1103/PhysRevD.98.054001

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Published by the American Physical Society