$D^{(*)}Δ$ interactions and the molecular interpretation of $Σ_c(3200)^0$

Abstract: Inspired by the recent observation of the $Σ_c(3200)<sup>0$ baryon in the $Λ_c<sup>+π<sup>-$ invariant mass spectrum by the LHCb Collaboration, we perform a comprehensive investigation of the $D<sup>{(*)}Δ$ interactions within the one-boson-exchange framework. Our results show that the $D<sup>*Δ$ molecule with $I(J<sup>P)=1(1/2<sup>-)$ can be regarded as the most natural candidate for the $Σ_c(3200)$, and predict the existence of several $D<sup>*Δ$ molecular partners with $I(J^{P)=1(3/2^-,} 5/2<sup>-)$ and $$2(1/2^{\pm}, 3/2^{\pm}, 5/2<sup>-)$$. After including the coupled channel effects between $DΔ$ and $D<sup>*Δ$, several shallowly bound $DΔ$-dominated molecular candidates also emerge, especially for the $I(J<sup>P)=1,2(3/2<sup>-)$ and the $2(1/2^+,3/2^+)$ systems. These results provide a unified molecular interpretation of the newly observed $Σ_c(3200)<sup>0$ and useful guidance for future experimental searches for exotic charmed-baryon states. We expect the high-statistics data from the LHCb Upgrade and Belle~II runs will directly test these predictions.