Angular analysis of the $e^{+}{e}^{-}\to D^{(\ast )\pm }{D}^{\ast \mp }$ process near the open charm threshold using initial-state radiation

Abstract

We report a new measurement of the exclusive $e^{+}{e}^{-}\to D^{(\ast )\pm }{D}^{\ast \mp }$ cross sections as a function of the center-of-mass energy from the $D^{(\ast )\pm }{D}^{\ast \mp }$ threshold through $\sqrt{s}=6.0$ GeV with initial-state radiation. The analysis is based on a data sample collected with the Belle detector with an integrated luminosity of $951$ fb${}^{-1}$. The accuracy of the cross section measurement is increased by a factor of two over the first Belle study. We perform the first angular analysis of the $e^{+}{e}^{-}\to D^{\ast \pm }{D}^{\ast \mp }$ process and decompose this exclusive cross section into three components corresponding to the $D^{\ast }$ helicities.

23 pages, 21 figures, 3 tables. Submitted to PRD

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• Resonance parameters of the vector charmoniumlike state $G(3900)$
• Observation of the radiative decays of ${\rm Y}(1S)$ to ${\chi }_{c1}$
• Production of $\psi (4040)$, $\psi (4160)$, and $\psi (4415)$ mesons in strong interactions