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Observation of a vector charmoniumlike state in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup><mml:mo stretchy="false">→</mml:mo><mml:msubsup><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></…
Using a data sample of $921.9\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ collected with the Belle detector, we study the process of ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}{D}_{s}^{+}{D}_{s1}(2536{)}^{\ensuremath{-}}+\mathrm{c}.\mathrm{c}.$ via initial-state radiation. We report the first observation of a vector charmoniumlike state decaying to ${D}_{s}^{+}{D}_{s1}(2536{)}^{\ensuremath{-}}+\mathrm{c}.\mathrm{c}.$ with a significance of $5.9\ensuremath{\sigma}$, including systematic uncertainties. The measured mass and width are $({4625.9}_{\ensuremath{-}6.0}^{+6.2}(\text{stat})\ifmmode\pm\else\textpm\fi{}0.4(\text{syst}))\text{ …