X(3860) production in association with $$J/\psi $$ via $$e^{+}e^{-}$$ annihilation at Belle

In this paper, we study the $X(3860)$ production associated with $J/\psi$ via $e^{+}e^{-}$ annihilation at next-to-leading-order (NLO) QCD accuracy, within nonrelativistic (NRQCD) framework. Under hypothesis of $J^{PC}_{X(3860)}=0^{++}$, predicted total cross sections agree well Belle's measurements $\sqrt{s}=\Upsilon(4S,5S)$, while theoretical results given by $2^{++}$ significantly undershoot data. This is consistent conclusion that $0^{++}$ favored over for $X(3860)$. Despite agreement sections, NRQCD predictions seem to be incompatible Belle-measured angular distributions. We also perform NLO calculations $\sigma_{e^{+}e^{-} \to J/\psi+X(3940)}$ on assumption $J^{PC}_{X(3940)}=0^{-+}$, discovering coincide light-cone are in good experiment.