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The $D_{s0}^*(2317) D$ and $D_{s1}^*(2460) D^*$ heavy meson systems canexchange a kaon that is emitted in S-wave owing to the opposite intrinsicparity of the $D_{s0}^*$($D_{s1}^*$) and $D$($D^*$) mesons. As a consequence ofthe mass difference of the $D_{s0}^*$($D_{s1}^*$) and $D$($D^*$) mesons, therange of the kaon exchange potential will be significantly longer thanexpected, corresponding to an effective mass of about $200\,{\rm MeV}$. Thepotential will be very strong: the strength of the interaction is proportionalto $(m_{D_{s0}} - m_D)^2 / f_{\pi}^2$ and $(m_{D_{s1}} - m_{D^*})^2 /f_{\pi}^2$. This combination of range and strength almost guarantees theexistence of $D_{s0}^*(2317) D$ and $D_{s1}^*(2460) D^*$ bound states with $J^P= 0^{-}$ and $J^P = 0^{-}, 2^{-}$ respectively. Concrete calculations indicatea binding energy of $5-15\,{\rm MeV}$ independently of $J^P$. The$D_{s0}^*(2317) D$ and $D_{s1}^*(2460) D^*$ molecules have manifestly exoticflavour quantum numbers: $C=2$, $S=1$ and $I=1/2$. We expect the existence ofbottom counterparts composed of the $B B_{s0}$ and $B^* B_{s1}^*$ mesons, whichwill be more bound and have a richer spectrum that might include a shallowP-wave state and an excited S-wave state.

Exotic Doubly Charmed Ds0*(2317)D and Ds1*(2460)D* Molecules

Exotic Doubly Charmed Ds0(2317)D and Ds1(2460)D* Molecules