Single-spin asymmetry of $J/\psi$ production in $p$$+$$p$, $p$$+$Al, and $p$$+$Au collisions with transversely polarized proton beams at $\sqrt{s_{_{NN}}}=200$ GeV
C. Aidala, Y. Akiba, M. Alfred, V. Andrieux, N. Apadula, H. Asano, B., Azmoun, V. Babintsev, A. Bagoly, N.S. Bandara, K.N. Barish, S. Bathe, A., Bazilevsky, M. Beaumier, R. Belmont, A. Berdnikov, Y. Berdnikov, D.S. Blau,, M. Boer, J.S. Bok, M.L. Brooks, J. Bryslawskyj

TL;DR
This study measures the single-spin asymmetries of $J/\psi$ production in polarized proton collisions with protons, aluminum, and gold nuclei at 200 GeV, revealing potential nuclear effects on gluon distributions.
Contribution
First measurement of $J/\psi$ single-spin asymmetries in $p$+A collisions at RHIC energies, providing insights into nuclear effects on gluon correlation functions.
Findings
Negative asymmetries observed in $p$+Au collisions at low $p_T$
Asymmetries in $p$+p and $p$+Al are consistent with zero
Results suggest nuclear effects influence gluon correlations
Abstract
We report the transverse single-spin asymmetries of production at forward and backward rapidity, , as a function of transverse momentum () and Feynman- (). The data analyzed were recorded by the PHENIX experiment at the Relativistic Heavy Ion Collider in 2015 from , Al, and Au collisions with transversely polarized proton beams at GeV. At this collision energy, single-spin asymmetries for heavy-flavor particle production of collisions provide access to the spin-dependent gluon distribution and higher-twist correlation functions inside the nucleon, such as the gluon Qiu-Sterman and trigluon correlation functions. Proton+nucleus collisions offer an excellent opportunity to study nuclear effects on the correlation functions. The data indicate negative asymmetries at the two-standard-deviation…
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