Measurement of ${\sigma }_{{\chi }_{c2}}\mathcal{B}({\chi }_{c2}\to J/\psi \gamma )/{\sigma }_{{\chi }_{c1}}\mathcal{B}({\chi }_{c1}\to J/\psi \gamma )$ in $p\bar{p}$ Collisions at $\sqrt{s}=$ 1.96 TeV

Abstract

We measure the ratio of cross section times branching fraction, $R_p\equiv {\sigma }_{{\chi }_{c2}}\mathcal{B}({\chi }_{c2}\to J/\psi \gamma )/{\sigma }_{{\chi }_{c1}}\mathcal{B}({\chi }_{c1}\to J/\psi \gamma )$, in 1.1 fb${}^{-1}$ of $p\bar{p}$ collisions at $\sqrt{s}=$ 1.96 TeV. This measurement covers the kinematic range $p_T(J/\psi )>4.0$ GeV/$c$, $|\eta (J/\psi )|<1.0$, and $p_T(\gamma )>1.0$ GeV/$c$. For events due to prompt processes, we find $R_p=0.395\pm 0.016(stat.)\pm 0.015(sys.)$. This result represents a significant improvement in precision over previous measurements of prompt ${\chi }_{c1,2}$ hadroproduction.

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