A prediction of $D^{\ast }$-multi-$\rho$ states

Abstract

We present a study of the many-body interaction between a $D^{\ast }$ and multi-$\rho$. We use an extrapolation to SU(4) of the hidden gauge formalism, which produced dynamically the resonances $f_2(1270)$ in the $\rho \rho$ interaction and $D_2^{\ast }(2460)$ in the $\rho D^{\ast }$ interaction. Then let a third particle, $\rho$, $D^{\ast }$, or a resonance collide with them, evaluating the scattering amplitudes in terms of the Fixed Center Approximation of the Faddeev equations. We find several clear resonant structures above $2800\mev$ in the multibody scattering amplitudes. They would correspond to new charmed resonances, $D_3^{\ast }$, $D_4^{\ast }$, $D_5^{\ast }$ and $D_6^{\ast }$, which are not yet listed in the PDG, which would be analogous to the ${\rho }_3(1690)$, $f_4(2050)$, ${\rho }_5(2350)$, $f_6(2510)$ and $K_3^{\ast }(1780)$, $K_4^{\ast }(2045)$, $K_5^{\ast }(2380)$ described before as multi-$\rho$ and $K^{\ast }$-multi-$\rho$ states respectively.

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Cited by in corpus (13)

• Pentaquark and Tetraquark states
• $DK$, $DDK$, and $DDDK$ molecules--understanding the nature of the $D_{s0}^{\ast }(2317)$
• A study of $\eta K\bar{K}$ and ${\eta }^{\prime }K\bar{K}$ with the fixed center approximation to Faddeev equations
• Three-body model for $K(1460)$ resonance
• Prediction of possible exotic states in the $\eta \bar{K}{K}^{\ast }$ system
• Molecular states of $D^{\ast }{D}^{\ast }{\bar{K}}^{\ast }$ nature
• States of $\rho B^{\ast }{\bar{B}}^{\ast }$ with $J=3$ within the Fixed Center Approximation to Faddeev equations
• Possible bound states with hidden bottom from ${\bar{K}}^{(\ast )}{B}^{(\ast )}{\bar{B}}^{(\ast )}$ systems
• Prediction of new states from $D^{(\ast )}{B}^{(\ast )}{\bar{B}}^{(\ast )}$ three-body interactions
• Description of $\rho (1700)$ as a $\rho K\bar{K}$ system with the fixed center approximation
• Disclosing $D^{\ast }{\bar{D}}^{\ast }$ molecular states in the $B_c^{-}\to {\pi }^{-}J/\psi \omega$ decay
• Investigations of the $D$-multi-$\rho$ interactions
• States generated in the $K$-multi-$\rho$ interactions