Reconciling charmonium production and polarization data within the nonrelativistic QCD framework

Abstract

A thorough study reveals that the only key parameter for $\psi$ ($J/\psi$, ${\psi }^{\prime }$) polarization is the ratio $⟨O^{\psi }{(}^3{S}_1^{[8]})⟩/⟨O^{\psi }{(}^3{P}_0^{[8]})⟩$, if the velocity scaling rule holds. The fit of the yield data is incapable of the determination of this parameter. We provide a universal approach to fixing the long-distance matrix elements (LDMEs) for the $J/\psi$ and ${\psi }^{\prime }$ production. Further, with the existing data, we implement this approach, and obtain a favorable set of the LDMEs, and manage to reconcile the charmonia production and polarization experiment. A quantitative analysis indicates that theoretical corrections to the short-distance coefficients change only the values of the LDMEs but not the phenomenological results.

Cited by in corpus (10)

• New Observables in Inclusive Production of Quarkonia
• The remaining parts for the long-standing J/psi polarization puzzle
• Exclusive production of $J/\psi +{\eta }_c$ at the $B$ factories Belle and Babar using the principle of maximum conformality
• The prompt $J/\psi$ production in Association with a $c\bar{c}$ Pair within the Framework of Non-relativistic QCD via photon-photon collision at the International Linear Collider
• $\mathcal{O}({\alpha }_s{v}^2)$ corrections to hadronic decay of vector quarkonia
• Statistical analysis of the azimuthal asymmetry in the $J/\psi$ leptoproduction in unpolarized $ep$ collisions
• Double longitudinal-spin asymmetries in $J/\psi$ production at RHIC
• Kinematic distributions of the ${\eta }_c$ photoproduction in $ep$ collisions within the nonrelativistic QCD framework
• Prompt $J/\psi$ production in associated with top quark pair at the LHC
• Kinematic distributions of the ${\eta }_c$ leptoproduction in association with light hadrons