Abstract
In this paper, the color-octet long distance matrix elements are studied through the inclusive J/psi production in e^{+}e^{-} annihilation within the framework of non-relativistic QCD factorization. The calculations are up-to next-to-leading order with the radiative and relativistic corrections in the energy region of the B-factory and the near-threshold region of 4.6{-}5.6~mathrm{GeV}. A constraint of the long distance matrix elements (langle ^1S_0^{8}rangle , langle ^3P_0^{8}rangle ) is obtained. Through our estimation, the P-wave color-octet matrix element (langle 0|^3P^8_0|0rangle ) should be of the order of 0.008m_mathrm{c}^2~mathrm{GeV}^3 or less. The constrained region is not compatible with the values of the long distance matrix elements fitted at hadron colliders.
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