Mapping a new cluster of charmoniumlike structures at $e^{+}{e}^{-}$ collisions

Abstract

In this work, we find a Critical Energy induced Enhancement (CEE) mechanism for the general three-body open-charm process at the $e^{+}{e}^{-}$ collisions, which utilizes the peculiar kinematic behavior of the $e^{+}{e}^{-}$ annihilation process involving three-body final states. We present a general analysis of a three-body process $e^{+}{e}^{-}\to BC\to B(C\to DE)$. When the center-of-mass (CM) energy of the $e^{+}{e}^{-}$ collision satisfies a critical relation $\sqrt{s}=m_B+m_C$, there clearly exists the reflection peak of an intermediate $C$ state near the threshold of the invariant mass distribution of $m_{BE}$ or $m_{BD}$, whose formation is very sensitive to the CM energy. The reflection enhancement phenomenon induced at the critical energy means that a new cluster of charmoniumlike structures can be experimentally mapped. Taking an example of $e^{+}{e}^{-}\to D_s^{\ast -}{D}_{s2}^{\ast }(2573{)}^{+}\to D_s^{\ast -}(D^0{K}^{+})$, we further illustrate this novel phenomenon when $\sqrt{s}=4.680$ GeV. What is more important is that a series of optimal CM energy points to search for new charmoniumlike structures in three-body open-charm processes from $e^{+}{e}^{-}$ annihilation are suggested, which can be accessible at BESIII and further BelleII as a new research topic.

Comments: 6 pages, 1 table and 5 figures. Accepted by Phys. Lett. B