${\chi }_{cJ}$ production associated with a $c\bar{c}$ pair at hadron colliders

Abstract

${\chi }_{cJ}$ (J=0,1,2) production associated with a charm quark pair in hadron collisions is calculated in the framework of nonrelativistic QCD at the Tevatron and LHC. It is found that the color-singlet contribution is small and the color-octet contribution may be dominant in the large $p_T$ region. The differential cross section of $p\bar{p}\to {\chi }_c+c\bar{c}$ is at least one order of magnitude smaller than the next-to-leading order result of ${\chi }_{cJ}$ inclusive production $p\bar{p}\to {\chi }_c+X$, therefore ${\chi }_{cJ}$ production in $p\bar{p}\to {\chi }_c+c\bar{c}$ may have negligible influence on the ratio $R_{{\chi }_c}=\frac{{\sigma }_{{\chi }_{c2}}}{{\sigma }_{{\chi }_{c1}}}$ measured by CDF at the Tevatron. The feeddown contribution from ${\chi }_{cJ}+c+\bar{c}$ to $J/\psi +c+\bar{c}$ is found to be large compared with $J/\psi$ direct production and may have important influence on the measurement of $J/\psi +c+\bar{c}$. The validity of fragmentation approximation for the process is also discussed.

Published in PRD, 18 pages, 8 figures

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