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Dedovich, Ingo Martin Deppner, Anatoly A. Derevschikov, A. Dhamija, L. Di Carlo, Lidia Didenko, Prabhupada Dixit, X. Dong, James Lucus Drachenberg, Emilie Duckworth, James C. Dunlop, Nicholas Elsey, Jon M. Engelage, Geary Wareham Eppley, ShinIchi Esumi, Olga Y. Evdokimov, A. Ewigleben, Kjeld Oleg Eyser, Renee H. Fatemi, F. M. Fawzi, Salvatore Fazio, Pavol Federič, Jan Fedorišin, C. J. Feng, Yicheng Feng, Peter Filip, Evan Finch, Yuri V. Fisyak, Audrey Francisco, C. Fu, Łukasz Fulek, Carl A. Gagliardi, Tetyana Galatyuk, Frank Geurts, Navagyan Ghimire, Adam Gibson, Krishan Gopal, X. Gou, David P. Grosnick, Anik Gupta, Włodzimierz Guryn, A. I. Hamad, Ahmed M. Hamed, Y. Han, Szymon Harabasz, Matthew D. Harasty, John W. Harris, Hannah Harrison, S. He, W. He, Xionghong He, Y. He, S. Heppelmann, S. Heppelmann, Norbert Herrmann, E. Hoffman, Lukáš Holub, Y. Hu, H. Huang, Huan Zhong Huang, Shengli Huang, T. Huang, X. Huang, Y. Huang, Thomas J. Humanic, George J. Igo, D. Isenhower, William W. Jacobs, Chitrasen Jena, Alexander Jentsch, Yuanjing Ji, Jiangyong Jia, K. Jiang, Xin-Yue Ju, Eleanor G. Judd, Sonia Kabana, M. L. Kabir, Skipper Kagamaster, Dmitry Kalinkin, K. Kang, David Kapukchyan, Kolja Kauder, Hongwei Ke, Declan Keane, Armen Kechechyan, Matthew Kelsey, Yevheniia V. Khyzhniak, Daniel P. Kikoła, C. Kim, B. Kimelman, D. Kincses, Ivan Kisel, A. Kiselev, Anders Garritt Knospe, H. S. Ko, L. M. Kočenda, Leszek Krzysztof Kosarzewski, L. Kramarik, Peter Kravtsov, Lokesh Kumar, Shyam Kumar, Raghav Kunnawalkam Elayavalli, Joseph H. Kwasizur, Roy Alphanso Lacey, Shaowei Lan, Jeffery M. Landgraf, Jerome Lauret, Alexei Lebedev, Richard Lednicky, J. H. Lee, Yue Hang Leung, N. Lewis, C. Li, C. Li, W. Li, X. Li, Y. Li, X. Liang, Y. Liang, Robert Licenik, T. Lin, Y. Lin, Michael A. Lisa, F. Liu, H. Liu, H. Liu, P. Liu, Tong Liu, X. Liu, Y. Liu, Z. Liu, Tonko A. Ljubicic, William Joseph Llope, Ronald S. Longacre, E. Loyd, N. S. Lukow, X. F. Luo, L. Ma, R. 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- Understanding gluon density distributions and how they are modified in nuclei are among the most important goals in nuclear physics. In recent years, diffractive vector meson production measured in ultra-peripheral collisions (UPCs) at heavy-ion colliders has provided a new tool for probing the gluon density. In this Letter, we report the first measurement of J/ψ photoproduction off the deuteron in UPCs at the center-of-mass energy sNN−−−√=200 GeV in d+Au collisions. The differential cross section as a function of momentum transfer −t is measured. In addition, data with a neutron tagged in the deuteron-going Zero-Degree Calorimeter is investigated for the first time, which is found to be consistent with the expectation of incoherent diffractive scattering at low momentum transfer. Theoretical predictions based on the Color Glass Condensate saturation model and the gluon shadowing model are compared with the data quantitatively. A better agreement with the saturation model has been observed. With the current measurement, the results are found to be directly sensitive to the gluon density distribution of the deuteron and the deuteron breakup, which provides insights into the nuclear gluonic structure.