Measurement of $e^{+}{e}^{-}\to p{K}^{-}\bar{\hat{I}}›+c.c.$ cross sections between 4.009 GeV and 4.951 GeV

Abstract

Using $e^{+}{e}^{-}$ collision datasets corresponding to total integrated luminosity of 21.7 fb${}^{-1}$ collected with the BESIII detector at the BEPCII collider at center-of-mass energies ranging from 4.009 GeV to 4.951 GeV, the energy-dependent cross sections of $e^{+}{e}^{-}\to p{K}^{-}\bar{\hat{I}}›+c.c.$ are measured for the first time. By fitting these energy-dependent cross sections, we search for the excited $\ddot{I}ˆ$ states $\ddot{I}ˆ(4160)$ and $\ddot{I}ˆ(4415)$, and the vector charmonium-like states $\ddot{I}ˆ(4230)$, $\ddot{I}ˆ(4360)$, and $\ddot{I}ˆ(4660)$. No evidence for these is observed and the upper limits on the branching fractions of these states decaying into $p{K}^{-}\bar{\hat{I}}›+c.c.$ are set at the 90\% confidence level.

20 pages, 4 figures