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

Abstract

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

6 Pages, 1 Figure

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Cited by in corpus (24)

• Pentaquark and Tetraquark states
• A survey of heavy-heavy hadronic molecules
• Can we understand the decay width of the $T_{cc}^{+}$ state?
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• $DDK$ system in finite volume
• Heavy Baryon-Antibaryon Molecules in Effective Field Theory
• Heavy-hadron molecules from light-meson-exchange saturation
• Bound state formation in the $DDK$ system
• Excited $K$ meson, $K_c(4180)$, with hidden charm as a $D\bar{D}K$ bound state
• Masses and widths of the exotic molecular $B_{(s)}^{(\ast )}{B}_{(s)}^{(\ast )}$ states
• Production of $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ in $B$ decays as $D^{(\ast )}K$ and $D_s^{(\ast )}\eta$ molecules
• Heavy flavor molecular states with strangeness
• Strong decays of the explicitly exotic doubly charmed $DDK$ bound state
• ${\bar{D}}_s^{(\ast )}{D}^{(\ast )}$ molecular state with $J^P=1^{+}$
• Faddeev fixed-center approximation to the $D\bar{D}K$ system and the hidden charm $K_{c\bar{c}}(4180)$ state
• Prediction of possible exotic states in the $\eta \bar{K}{K}^{\ast }$ system
• Quadruply charmed baryons as heavy quark symmetry partners of the $D_{s0}^{\ast }(2317)$
• One way to verify the molecular picture of exotic hadrons --from $DK$ to $DDK/D{\bar{D}}^{(\ast )}K$
• Search for a doubly-charged $DDK$ bound state in ${\rm Y}(1S,2S)$ inclusive decays and via direct production in $e^{+}{e}^{-}$ collisions at $\sqrt{s}$ = 10.520, 10.580, and 10.867 GeV
• Analysis of the possible $D{\bar{D}}_{s0}^{\ast }(2317)$ and $D^{\ast }{\bar{D}}_{s1}^{\ast }(2460)$ molecules with QCD sum rules
• Faddeev fixed-center approximation to the $\eta K^{\ast }{\bar{K}}^{\ast }$, $\pi K^{\ast }{\bar{K}}^{\ast }$ and $K{K}^{\ast }{\bar{K}}^{\ast }$ systems
• Production of the (predicted) $K^{\ast }(4307)$ in $B$ decays
• Dynamically generated states from the $\eta K^{\ast }{\bar{K}}^{\ast }$, $\pi K^{\ast }{\bar{K}}^{\ast }$, and $K{K}^{\ast }{\bar{K}}^{\ast }$ systems within the fixed-center approximation