Impact of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>η</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:math>Hadroproduction Data on Charmonium Production and Polarization within the Nonrelativistic QCD Framework

Abstract

With the recent LHCb data on η_{c} production and based on heavy quark spin symmetry, we obtain the long-distance matrix elements for both η_{c} and J/ψ productions, among which, the color-singlet one for η_{c} is obtained directly by the fit of experiment for the first time. Using our long-distance matrix elements, we can provide good description of the η_{c} and J/ψ hadroproduction measurements. Our predictions on J/ψ polarization are in good agreement with the LHCb data, explain most of the CMS data, and pass through the two sets of CDF measurements in the medium p_{t} region. Considering all the possible uncertainties carefully, we obtained quite narrow bands of the J/ψ polarization curves.