Open Access

Energy Correlators within Jets in Transversely Polarized Proton-Proton Collisions at $\sqrt{s} = 200 GeV$

B. E. Aboona⁶⁰, J. Adam¹⁸, G. Agakishiev³³, I. Aggarwal⁴⁶, M. M. Aggarwal⁴⁶, Z. Ahammed⁶⁷, E. C. Aschenauer⁸, A. Aitbayev³³, I. Alekseev^4,42 et al. (STAR Collaboration^*)

I. Alekseev^4,42, E. Alpatov⁴², A. K. Alshammri³⁴, A. Aparin³³, S. Aslam²², J. Atchison³, G. S. Averichev³³, V. Bairathi⁵⁸, X. Bao⁵⁴, P. Barik²⁷, K. Barish¹³, S. Behera²⁸, P. Bhagat³², A. Bhasin³², S. Bhatta⁵⁷, I. G. Bordyuzhin⁴, J. D. Brandenburg⁴⁵, A. V. Brandin⁴², C. Broodo²⁵, X. Z. Cai⁵⁵, H. Caines⁷¹, M. Calderón de la Barca Sánchez¹¹, D. Cebra¹¹, J. Ceska¹⁸, I. Chakaberia³⁷, Y. S. Chang⁴⁸, Z. Chang³⁰, A. Chatterjee¹⁹, D. Chen¹³, J. H. Chen²², L. Chen¹⁴, Q. Chen²³, W. Chen²², Z. Chen⁵⁴, J. Cheng⁶³, Y. Cheng¹², W. Christie⁸, X. Chu⁸, S. Corey⁴⁵, H. J. Crawford¹⁰, G. Dale-Gau¹⁸, A. Das¹⁸, D. De Souza Lemos⁸, T. G. Dedovich³³, I. M. Deppner²⁴, A. A. Derevschikov⁴⁷, A. Deshpande⁵⁷, A. Dhamija⁴⁶, A. Dimri⁵⁷, P. Dixit²², X. Dong³⁷, J. L. Drachenberg³, E. Duckworth³⁴, J. C. Dunlop⁸, Y. S. El-Feky⁶, J. Engelage¹⁰, G. Eppley⁴⁹, S. Esumi⁶⁴, O. Evdokimov¹⁵, O. Eyser⁸, B. Fan¹⁴, Y. Fang⁶³, R. Fatemi³⁵, S. Fazio⁹, H. Feng¹⁴, Y. Feng¹⁴, E. Finch⁵⁶, Y. Fisyak⁸, F. A. Flor⁵, B. Fu¹⁴, C. Fu³¹, T. Fu⁵⁴, T. Gao⁵⁴, Gao²², G. Garcia⁸, F. Geurts⁴⁹, A. Gibson⁶⁶, A. Giri²⁵, K. Gopal²⁸, X. Gou⁵⁴, D. Grosnick⁶⁶, A. Gu²⁶, J. Gu²², A. Gupta³², A. Hamed⁶, R. J. Hamilton⁷¹, J. Han¹⁴, X. Han⁴⁵, M. D. Harasty¹¹, J. W. Harris⁷¹, H. Harrison-Smith³⁵, L. B. Havener⁷¹, X. H. He³¹, Y. He⁵⁴, C. Hu⁶⁵, Q. Hu³¹, Y. Hu³⁷, H. Huang^44,1, H. Z. Huang¹², S. L. Huang⁵⁷, T. Huang¹, Y. Huang²⁰, Y. Huang³¹, Y. Huang²², M. Isshiki⁶⁴, W. W. Jacobs³⁰, A. Jalotra³², C. Jena²⁸, Y. Ji⁶⁵, J. Jia^57,8, X. Jiang¹⁴, C. Jin⁴⁹, Y. Jin¹⁴, N. Jindal⁴⁵, X. Ju⁵¹, E. G. Judd¹⁰, S. Kabana⁵⁸, D. Kalinkin³⁵, J. Kang⁵³, K. Kang⁶³, A. R. Kanuganti⁸, D. Kapukchyan¹³, K. Kauder⁸, D. Keane³⁴, A. Kechechyan³³, M. Kesler³⁴, A. Khanal⁶⁹, A. Khanal⁵⁹, J. Kim⁸, A. Kiselev⁸, A. G. Knospe³⁸, L. Kochenda⁴², Y. Kong¹⁴, A. A. Korobitsin³³, B. Korodi⁴⁵, A. Yu. Kraeva⁴², P. Kravtsov⁴², L. Kumar⁴⁶, M. C. Labonte¹¹, R. Lacey⁵⁷, J. M. Landgraf⁸, C. Larson³⁵, R. Lednicky³³, J. H. Lee⁸, Y. H. Leung²⁴, C. Li¹⁴, D. Li⁵¹, H-S. Li⁴⁸, H. Li⁷⁰, H. Li²³, H. Li¹⁴, W. Li⁴⁹, X. Li⁵¹, X. Li⁵¹, Y. Li⁶³, Z. Li⁵², Z. Li⁵¹, X. Liang¹³, T. Lin⁵⁴, Y. Lin²³, C. Liu³¹, G. Liu⁵², H. Liu²⁶, L. Liu⁵⁴, L. Liu²², Z. Liu²², Z. Liu¹⁴, T. Ljubicic⁴⁹, LNU³⁴, O. Lomicky¹⁸, E. M. Loyd¹³, T. Lu³¹, J. Luo⁵¹, X. F. Luo¹⁴, V. B. Luong³³, L. Ma²², R. Ma⁸, Y. G. Ma²², N. Magdy⁶¹, R. Manikandhan²⁵, O. Matonoha¹⁸, Mccallips⁶⁶, K. Menduli²⁷, K. Mi⁶⁵, N. G. Minaev⁴⁷, B. Mohanty⁴³, B. Mondal⁴³, M. M. Mondal³⁹, I. Mooney⁷¹, D. A. Morozov⁴⁷, M. I. Nagy²⁰, C. J. Naim⁵⁷, A. S. Nain⁴⁶, J. D. Nam⁵⁹, M. Nasim²⁷, H. Nasrulloh⁵¹, K. Nayak², E. Nedorezov³³, J. M. Nelson¹⁰, M. Nie⁵⁴, G. Nigmatkulov¹⁵, T. Niida⁶⁴, L. V. Nogach⁴⁷, T. Nonaka⁶⁴, G. Odyniec³⁷, A. Ogawa⁸, S. Oh⁵³, V. A. Okorokov⁴², K. Okubo⁶⁴, B. S. Page⁸, M. Pal⁵⁹, S. Pal¹⁸, A. Pandav³⁷, A. Panday²⁷, A. K. Pandey⁶⁸, Y. Panebratsev³³, T. Pani⁵⁰, P. Parfenov⁴², A. Paul¹³, S. Paul⁵⁷, C. Perkins¹⁰, S. Ping²², I. D. Ponce Pinto⁷¹, M. Posik⁵⁹, E. Pottebaum⁷¹, A. Povarov⁴², Praharaj²⁷, S. Prodhan²⁸, T. L. Protzman³⁸, N. K. Pruthi⁴⁶, J. Putschke⁶⁹, Y. Qi¹⁴, Z. Qin⁶³, H. Qiu³¹, S. K. Radhakrishnan³⁴, A. Rana⁴⁶, R. L. Ray⁶², C. W. Robertson⁴⁸, O. V. Rogachevsky³³, M. A. Rosales Aguilar³⁵, D. Roy⁵⁰, L. Ruan⁸, A. K. Sahoo³¹, N. R. Sahoo²⁸, H. Sako⁶⁴, S. Salur⁵⁰, S. S. Sambyal³², E. Samigullin⁴, D. T. Samuel³⁴, J. K. Sandhu³⁸, S. Sato⁶⁴, B. C. Schaefer³⁸, J. Seger¹⁷, R. Seto¹³, P. Seyboth⁴⁰, N. Shah²⁹, E. Shahaliev³³, P. V. Shanmuganathan⁸, T. Shao²², M. Sharma³², R. Sharma²⁸, S. R. Sharma²⁸, A. I. Sheikh³⁴, D. Shen⁵⁴, D. Y. Shen³¹, K. Shen⁵¹, S. Shi¹⁴, Y. Shi⁵⁴, E. Shulga⁸, F. Si⁵¹, J. Singh⁵⁸, S. Singha³¹, P. Sinha²⁸, M. J. Skoby^7,48, Y. Söhngen²⁴, Y. Song⁷¹, T. D. S. Stanislaus⁶⁶, M. Strikhanov⁴², Y. Su⁵¹, X. Sun³¹, Y. Sun⁵¹, B. Surrow⁵⁹, D. N. Svirida⁴, Z. W. Sweger¹¹, A. C. Tamis⁷¹, A. H. Tang⁸, Z. Tang⁵¹, Tanner⁶⁶, A. Taranenko⁴², T. Tarnowsky⁴¹, J. H. Thomas³⁷, A. Timofeev³³, D. Tlusty¹⁷, M. V. Tokarev³³, D. Torres-Valladares⁴⁹, S. Trentalange¹², O. D. Tsai^12,8, C. Y. Tsang^5,8, Z. Tu⁸, J. E. Tyler⁶⁰, T. Ullrich⁸, D. G. Underwood^5,66, G. Van Buren⁸, A. N. Vasiliev^47,42, F. Videbæk⁸, S. Vokal³³, S. A. Voloshin⁶⁹, F. Wang⁴⁸, G. Wang¹², G. Wang¹⁴, J. S. Wang²⁶, J. Wang⁵⁴, K. Wang⁵¹, X. Wang⁵⁴, Y. Wang⁵¹, Y. Wang¹⁴, Y. Wang⁶³, Z. Wang²², Z. Wang¹⁴, J. C. Webb⁸, P. C. Weidenkaff²⁴, G. D. Westfall⁴¹, H. Wieman³⁷, G. Wilks¹⁵, S. W. Wissink³⁰, C. P. Wong⁸, J. Wu⁶⁵, Wu²², X. Wu¹², X. Wu⁵¹, X. Wu¹⁴, B. Xi²², Y. Xiao²², Z. G. Xiao⁶³, G. Xie⁶⁵, W. Xie⁴⁸, H. Xu²⁶, N. Xu¹⁴, Q. H. Xu⁵⁴, X. Xu⁶³, Y. Xu⁵⁴, Y. Xu²², Y. Xu¹⁴, Y. Xu³¹, Z. Xu³⁴, Z. Xu⁵, G. Yan⁵⁴, Z. Yan⁵⁷, C. Yang⁵⁴, Q. Yang⁵⁴, S. Yang⁵², Y. Yang^1,44, Z. Ye⁵², Z. Ye³⁷, L. Yi⁵⁴, Y. Yu⁵⁴, W. Yuan⁶³, W. Zha⁵¹, C. Zhang²², D. Zhang⁵², J. Zhang⁵⁴, K. Zhang¹⁴, L. Zhang¹⁴, S. Zhang¹⁶, W. Zhang⁵², X. Zhang³¹, Y. Zhang³¹, Y. Zhang⁵¹, Y. Zhang⁵⁴, Y. Zhang²³, Z. Zhang⁸, Z. Zhang¹⁵, F. Zhao³⁶, J. Zhao²², Zhao²², S. Zhou¹⁴, Y. Zhou¹⁴, C. Zhu¹⁴, X. Zhu⁶³, and M. Zyzak²¹ (STAR Collaboration^*)

¹Academia Sinica, Nankang, 115
²Panchayat College (PC), Bargarh, Affiliated with Sambalpur University (SU), Odisha 768028, India
³Abilene Christian University, Abilene, Texas 79699
⁴Alikhanov Institute for Theoretical and Experimental Physics NRC “Kurchatov Institute,” Moscow 117218
⁵Argonne National Laboratory, Argonne, Illinois 60439
⁶American University in Cairo, New Cairo 11835, Egypt
⁷Ball State University, Muncie, Indiana 47306
⁸Brookhaven National Laboratory, Upton, New York 11973
⁹University of Calabria and INFN-Cosenza, Rende 87036, Italy
¹⁰University of California, Berkeley, California 94720
¹¹University of California, Davis, California 95616
¹²University of California, Los Angeles, California 90095
¹³University of California, Riverside, California 92521
¹⁴Central China Normal University, Wuhan, Hubei 430079
¹⁵University of Illinois at Chicago, Chicago, Illinois 60607
¹⁶Chongqing University, Chongqing, 401331
¹⁷Creighton University, Omaha, Nebraska 68178
¹⁸Czech Technical University in Prague, FNSPE, Prague 115 19, Czech Republic
¹⁹National Institute of Technology Durgapur, Durgapur—713209, India
²⁰ELTE Eötvös Loránd University, Budapest, Hungary H-1117
²¹Frankfurt Institute for Advanced Studies FIAS, Frankfurt 60438, Germany
²²Fudan University, Shanghai, 200433
²³Guangxi Normal University, Guilin, 541004
²⁴University of Heidelberg, Heidelberg 69120, Germany
²⁵University of Houston, Houston, Texas 77204
²⁶Huzhou University, Huzhou, Zhejiang 313000
²⁷Indian Institute of Science Education and Research (IISER), Berhampur 760010, India
²⁸Indian Institute of Science Education and Research (IISER) Tirupati, Tirupati 517507, India
²⁹Indian Institute Technology, Patna, Bihar 801106, India
³⁰Indiana University, Bloomington, Indiana 47408
³¹Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, Gansu 730000
³²University of Jammu, Jammu 180001, India
³³Joint Institute for Nuclear Research, Dubna 141 980
³⁴Kent State University, Kent, Ohio 44242
³⁵University of Kentucky, Lexington, Kentucky 40506-0055
³⁶Lanzhou University, Lanzhou, 730000
³⁷Lawrence Berkeley National Laboratory, Berkeley, California 94720
³⁸Lehigh University, Bethlehem, Pennsylvania 18015
³⁹Lovely Professional University, Jalandhar—Delhi G.T. Road, Pagwara, Punjab, 144411, India
⁴⁰Max-Planck-Institut für Physik, Munich 80805, Germany
⁴¹Michigan State University, East Lansing, Michigan 48824
⁴²National Research Nuclear University MEPhI, Moscow 115409
⁴³National Institute of Science Education and Research, HBNI, Jatni 752050, India
⁴⁴National Cheng Kung University, Tainan 70101
⁴⁵The Ohio State University, Columbus, Ohio 43210
⁴⁶Panjab University, Chandigarh 160014, India
⁴⁷NRC “Kurchatov Institute,” Institute of High Energy Physics, Protvino 142281
⁴⁸Purdue University, West Lafayette, Indiana 47907
⁴⁹Rice University, Houston, Texas 77251
⁵⁰Rutgers University, Piscataway, New Jersey 08854
⁵¹University of Science and Technology of China, Hefei, Anhui 230026
⁵²South China Normal University, Guangzhou, Guangdong 510631
⁵³Sejong University, Seoul, 05006, Republic of Korea
⁵⁴Shandong University, Qingdao, Shandong 266237
⁵⁵Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800
⁵⁶Southern Connecticut State University, New Haven, Connecticut 06515
⁵⁷State University of New York, Stony Brook, New York 11794
⁵⁸Instituto de Alta Investigación, Universidad de Tarapacá, Arica 1000000, Chile
⁵⁹Temple University, Philadelphia, Pennsylvania 19122
⁶⁰Texas A&M University, College Station, Texas 77843
⁶¹Texas Southern University, Houston, Texas 77004
⁶²University of Texas, Austin, Texas 78712
⁶³Tsinghua University, Beijing 100084
⁶⁴University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan
⁶⁵University of Chinese Academy of Sciences, Beijing, 101408
⁶⁶Valparaiso University, Valparaiso, Indiana 46383
⁶⁷Variable Energy Cyclotron Centre, Kolkata 700064, India
⁶⁸Warsaw University of Technology, Warsaw 00-661, Poland
⁶⁹Wayne State University, Detroit, Michigan 48201
⁷⁰Wuhan University of Science and Technology, Wuhan, Hubei 430065
⁷¹Yale University, New Haven, Connecticut 06520

^*Contact author: star-publication@bnl.gov

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Phys. Rev. Lett. 137, 111902 – Published 8 September, 2026

DOI: https://doi.org/10.1103/fgsf-gx2q

Abstract

We report the first measurement of one- and two-point energy correlators within jets in transversely polarized proton-proton collisions at $\sqrt{s} = 200 GeV$ , using the STAR detector at the Relativistic Heavy Ion Collider. These observables quantify the energy-weighted angular distribution of single hadrons and hadron pairs within jets, respectively. Sizable spin-dependent asymmetries are observed for $π^{+}$ , $π^{-}$ , and $π^{+} π^{-}$ pairs, revealing the onset of nonperturbative dynamics at specific angular scales. By projecting the fragmentation dynamics onto Mellin moments, these measurements provide sensitivity to the nucleon’s transversity while minimizing uncertainties from nonperturbative fragmentation functions. These results establish energy correlators as a novel and precise probe of nucleon structure and open a promising avenue for three-dimensional nucleon tomography at the future Electron-Ion Collider.

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References (36)

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Phys. Rev. Lett. 137, 111902– Published 8 September, 2026

Vol. 137, Iss. 11 — 11 September 2026

Received 20 April 2026
Revised 28 July 2026
Accepted 30 July 2026

DOI: https://doi.org/10.1103/fgsf-gx2q

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

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Energy Correlators within Jets in Transversely Polarized Proton-Proton Collisions at $\sqrt{s} = 200 GeV$

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Energy Correlators within Jets in Transversely Polarized Proton-Proton Collisions at s=200 GeV

Abstract

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (36)

Energy Correlators within Jets in Transversely Polarized Proton-Proton Collisions at $\sqrt{s} = 200 GeV$