, a charmonium bound state made of a charm and an anti-charm quark, was discovered in the 1970s and confirmed the quark model. Because the mass of charm quarks is significantly above the quantum chromodynamics (QCD) scale
, charmonia are considered excellent probes to test perturbative quantum chromodynamics (pQCD) calculations. In recent decades, they have been studied extensively at different high-energy colliders. However, their production mechanisms, which involve multiple scales, are still not very well understood. Recently, in high-multiplicity
collisions at RHIC and at the LHC, a significant enhancement of
production yield has been observed, which suggests a strong contribution of multi-parton interaction (MPI). This is different from the traditional pQCD picture, where charm quark pairs are produced from a single hard scattering between partons in
collisions. In this work, we will report the
normalized production yield as a function of normalized charged particle multiplicity over a board range of rapidity and event multiplicity in the
channel with PHENIX Run 15
data at
GeV. The results are compared with PYTHIA 8 simulations with the MPI option turned on and off. Finally, the outlooks of
in
and
collisions, along with color glass condensate (CGC) predictions and the multiplicity-dependent
ratio in
data, will be briefly discussed.
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