@article{oai:tsukuba.repo.nii.ac.jp:00052325, author = {江角, 晋一 and ESUMI, ShinIchi and 新井田, 貴文 and NIIDA, Takafumi and 小沢, 恭一郎 and OZAWA, Kyoichiro and PHENI Collaboration}, issue = {1}, journal = {Physical review D}, month = {Jul}, note = {We report the transverse single-spin asymmetries of J/ψ production at forward and backward rapidity, 1.2<|y|<2.2, as a function of J/ψ transverse momentum (pT) and Feynman-x (xF). The data analyzed were recorded by the PHENIX experiment at the Relativistic Heavy Ion Collider in 2015 from p+p, p+Al, and p+Au collisions with transversely polarized proton beams at √sNN=200??GeV. At this collision energy, single-spin asymmetries for heavy-flavor particle production of p+p 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 a positive asymmetry at the two-standard-deviation level in the p+p data for 2??GeV/c