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Muhammad Ibrahim Abdulhamid, Bassam Aboona, Jaroslav Adam, Leszek Adamczyk, J.R. Adams, Ishu Aggarwal, Madan Mohan Aggarwal, Zubayer Ahammed, Elke Caroline Aschenauer, S. Aslam, J. Atchison, Vipul Bairathi, J.G. Ball Cap, Kenneth Barish, Rene Bellwied, P. Bhagat, Anju Bhasin, S. Bhatta, S.R. Bhosale, Jaroslav Bielčík, Jana Bielčíková, James D. Brandenburg, C. Broodo, X.Z. Cai, Helen Louise Caines, Manuel Calderón de la Barca Sánchez, Daniel A. Cebra, J. Ceska, Irakli Chakaberia, Petr Chaloupka, B.K. Chan, Z. Chang, A. Chatterjee, D. Chen, J. Chen, J.H. Chen, Z. Chen, J. Cheng, Y. Cheng, Subikash Choudhury, William Christie, X. Chu, Henry J. Crawford, Máté Csanád, G. Dale-Gau, A. Das, Ingo Martin Deppner, A. Dhamija, P. Dixit, X. Dong, James Lucus Drachenberg, E. Duckworth, James C. Dunlop, Jon M. Engelage, Geary Wareham Eppley, ShinIchi Esumi, Olga Y. Evdokimov, Kjeld Oleg Eyser, Renee H. Fatemi, Salvatore Fazio, C.J. Feng, Y. Feng, Evan Finch, Yuri V. Fisyak, F.A. Flor, C. Fu, Carl A. Gagliardi, Tetyana Galatyuk, T. Gao, Frank Geurts, N. Ghimire, Adam Gibson, Krishan Gopal, X. Gou, David P. Grosnick, Anik Gupta, Włodzimierz Guryn, Ahmed M. Hamed, Y. Han, S. Harabasz, M.D. Harasty, John W. Harris, H. Harrison-Smith, W. He, X.H. He, Y. He, Norbert Herrmann, Lukáš Holub, C. Hu, Q. Hu, Y. Hu, H. Huang, H.Z. Huang, Shengli Huang, T. Huang, X. Huang, Y. Huang, Y. Huang, Thomas J. Humanic, M. Isshiki, William W. Jacobs, A. Jalotra, Chitrasen Jena, Alexander Jentsch, Y. Ji, J. Jia, C. Jin, X. Ju, Eleanor G. Judd, Sonia Kabana, Dmitry Kalinkin, K. Kang, David Kapukchyan, Kolja Kauder, Declan Keane, A. Khanal, Yevheniia V. Khyzhniak, Daniel P. Kikoła, D. Kincses, Ivan Kisel, A. Kiselev, Anders Garritt Knospe, H.S. Ko, Leszek Krzysztof Kosarzewski, Lokesh Kumar, M.C. Labonte, Roy Alphanso Lacey, Jeffery M. Landgraf, Jerome Lauret, Alexei Lebedev, J.H. Lee, Y.H. Leung, N. Lewis, C. Li, D. Li, H-S. Li, H. Li, W. Li, X. Li, Y. Li, Y. Li, Z. Li, X. Liang, Y. Liang, Robert Licenik, T. Lin, Y. Lin, Michael A. Lisa, C. Liu, G. Liu, H. Liu, L. Liu, T. Liu, X. Liu, Y. Liu, Z. Liu, Tonko A. Ljubicic, O. Lomicky, Ronald S. Longacre, E.M. Loyd, T. Lu, J. Luo, X.F. Luo, L. Ma, R. Ma, Yu-Gang Ma, Niseem Magdy Abdelwahab Abdelrahman, Dukhishyam Mallick, R. Manikandhan, Spyridon Margetis, Christina Markert, Howard S. Matis, G. McNamara, O. Mezhanska, K. Mi, Saskia Mioduszewski, Bedangadas Mohanty, Mriganka Mouli Mondal, Isaac A. Mooney, M.I. Nagy, A.S. Nain, J.D. Nam, M. Nasim, D. Neff, John M. Nelson, Daniel B. Nemes, M. Nie, Grigory A. Nigmatkulov, Takafumi Niida, Toshihiro Nonaka, G. Odyniec, Akio Ogawa, Saehanseul Oh, K. Okubo, Brian S. Page, R. Pak, S. Pal, A. Pandav, T. Pani, A. Paul, Bogdan Pawlik, Diana Pawłowska, Chris Perkins, Jan Marian Pluta, B.R. Pokhrel, Matthew Posik, Tristan Protzman, V. Prozorova, Navneet Kumar Pruthi, Mariusz Przybycien, Jörn H. Putschke, Z. Qin, H. Qiu, Cameron Racz, Sooraj Krishnan Radhakrishnan, A. Rana, Robert L. Ray, Rosi Jan Reed, Hans Georg Ritter, C.W. Robertson, M. Robotkova, M.A. Rosales Aguilar, D. Roy, P. Roy Chowdhury, L. Ruan, A.K. Sahoo, Nihar Ranjan Sahoo, H. Sako, Sevil Salur, S. Sato, B.C. Schaefer, William B. Schmidke, Norbert Schmitz, F-J. Seck, Janet Elizabeth Seger, Richard Seto, Peter Seyboth, N. Shah, Prashanth V. Shanmuganathan, T. Shao, M. Sharma, Natasha Sharma, R. Sharma, S.R. Sharma, Ashik Ikbal Sheikh, D. Shen, D.Y. Shen, K. Shen, S.S. Shi, Y. Shi, Q.Y. Shou, F. Si, J. Singh, Subhash Singha, P. Sinha, M.J. Skoby, Nikolai Smirnov, Y. Söhngen, Y. Song, B. Srivastava, T. D. Shirvel Stanislaus, Maria Stefaniak, David J. Stewart, Blair Stringfellow, Y. Su, Alexandre Alarcon do Passo Suaide, Michal Šumbera, C. Sun, X. Sun, Y. Sun, Y. Sun, Bernd Surrow, Z.W. Sweger, A.C. Tamis, Aihong Tang, Z. Tang, Terence J. Tarnowsky, James H. Thomas, Anthony Robert Timmins, David Tlusty, Takahito Todoroki, Stephen Trentalange, Prithwish Tribedy, Srikanta Kumar Tripathy, T. Truhlar, Barbara Antonina Trzeciak, Oleg D. Tsai, C.Y. Tsang, Z. Tu, J. Tyler, Thomas Ullrich, David G. Underwood, Isaac Upsal, Gene Van Buren, Jan Vanek, Iouri Vassiliev, Veronica Verkest, Flemming Videbæk, Sergei Voloshin, F. Wang, G. Wang, J.S. Wang, J. Wang, K. Wang, X. Wang, Y. Wang, Y. Wang, Y. Wang, Z. Wang, Jason C. Webb, P.C. Weidenkaff, Gary D. Westfall, D. Wielanek, Howard Wieman, G. Wilks, Scott W. Wissink, Richard Witt, J. Wu, J. Wu, X. Wu, X. Wu, B. Xi, Z.G. Xiao, G. Xie, W. Xie, H. Xu, N. Xu, Q.H. Xu, Y. Xu, Y. Xu, Z. Xu, Z. Xu, G. Yan, Z. Yan, C. Yang, Q. Yang, S. Yang, Y. Yang, Z. Ye, Z. Ye, L. Yi, K. Yip, Y. Yu, Hanna Paulina Zbroszczyk, W. Zha, C. Zhang, D. Zhang, J. Zhang, S. Zhang, W. Zhang, X. Zhang, Y. Zhang, Y. Zhang, Y. Zhang, Y. Zhang, Z.J. Zhang, Z. Zhang, Z. Zhang, F. Zhao, J. Zhao, M. Zhao, J. Zhou, S. Zhou, Y. Zhou, X. Zhu, M. Zurek, Maksym Zyzak

• We report the first measurements of cumulants, up to 4𝑡ℎ order, of deuteron number distributions and protondeuteron correlations in Au+Au collisions recorded by the STAR experiment in phase-I of Beam Energy Scan (BES) program at the Relativistic Heavy Ion Collider. Deuteron cumulants, their ratios, and proton-deuteron mixed cumulants are presented for different collision centralities covering a range of center-of-mass energy per nucleon pair √𝑠NN = 7.7 to 200 GeV. It is found that the cumulant ratios at lower collision energies favor a canonical ensemble over a grand canonical ensemble in thermal models. An anti-correlation between proton and deuteron multiplicity is observed across all collision energies and centralities, consistent with the expectation from global baryon number conservation. The UrQMD model coupled with a phase-space coalescence mechanism qualitatively reproduces the collision-energy dependence of cumulant ratios and proton-deuteron correlations.