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Adamczyk L, Adkins JK, Agakishiev G, et al. Beam energy dependence of moments of the net-charge multiplicity distributions in Au+Au collisions at RHIC. Phys Rev Lett. 2014;113(9):092301doi: 10.1103/PhysRevLett.113.092301.
Adamczyk, L., Adkins, J. K., Agakishiev, G., Aggarwal, M. M., Ahammed, Z., Alekseev, I., Alford, J., Anson, C. D., Aparin, A., Arkhipkin, D., Aschenauer, E. C., Averichev, G. S., Balewski, J., Banerjee, A., Barnovska, Z., Beavis, D. R., Bellwied, R., Bhasin, A., Bhati, A. K., Bhattarai, P., Bichsel, H., Bielcik, J., Bielcikova, J., Bland, L. C., Bordyuzhin, I. G., Borowski, W., Bouchet, J., Brandin, A. V., Brovko, S. G., Bültmann, S., Bunzarov, I., Burton, T. P., Butterworth, J., Caines, H., Calderón de la Barca Sánchez, M., Cebra, D., Cendejas, R., Cervantes, M. C., Chaloupka, P., Chang, Z., Chattopadhyay, S., Chen, H. F., Chen, J. H., Chen, L., Cheng, J., Cherney, M., Chikanian, A., Christie, W., Chwastowski, J., Codrington, M. J., Corliss, R., Cramer, J. G., Crawford, H. J., Cui, X., Das, S., Davila Leyva, A., De Silva, L. C., Debbe, R. R., Dedovich, T. G., Deng, J., Derevschikov, A. A., Derradi de Souza, R., Dhamija, S., di Ruzza, B., Didenko, L., Dilks, C., Ding, F., Djawotho, P., Dong, X., Drachenberg, J. L., Draper, J. E., Du, C. M., Dunkelberger, L. E., Dunlop, J. C., Efimov, L. G., Engelage, J., Engle, K. S., Eppley, G., Eun, L., Evdokimov, O., Fatemi, R., Fazio, S., Fedorisin, J., Filip, P., Finch, E., Fisyak, Y., Flores, C. E., Gagliardi, C. A., Gangadharan, D. R., Garand, D., Geurts, F., Gibson, A., Girard, M., Gliske, S., Grosnick, D., Guo, Y., Gupta, A., Gupta, S., Guryn, W., Haag, B., Hajkova, O., Hamed, A., Han, L. X., Haque, R., Harris, J. W., Hays-Wehle, J. P., Heppelmann, S., Hirsch, A., Hoffmann, G. W., Hofman, D. J., Horvat, S., Huang, B., Huang, H. Z., Huck, P., Humanic, T. J., Igo, G., Jacobs, W. W., Jang, H., Judd, E. G., Kabana, S., Kalinkin, D., Kang, K., Kauder, K., Ke, H. W., Keane, D., Kechechyan, A., Kesich, A., Khan, Z. H., Kikola, D. P., Kisel, I., Kisiel, A., Koetke, D. D., Kollegger, T., Konzer, J., Koralt, I., Korsch, W., Kotchenda, L., Kravtsov, P., Krueger, K., Kulakov, I., Kumar, L., Kycia, R. A., Lamont, M. A., Landgraf, J. M., Landry, K. D., Lauret, J., Lebedev, A., Lednicky, R., Lee, J. H., Leight, W., LeVine, M. J., Li, C., Li, W., Li, X., Li, X., Li, Y., Li, Z. M., Lima, L. M., Lisa, M. A., Liu, F., Ljubicic, T., Llope, W. J., Longacre, R. S., Luo, X., Ma, G. L., Ma, Y. G., Madagodagettige Don, D. M., Mahapatra, D. P., Majka, R., Margetis, S., Markert, C., Masui, H., Matis, H. S., McDonald, D., McShane, T. S., Minaev, N. G., Mioduszewski, S., Mohanty, B., Mondal, M. M., Morozov, D. A., Munhoz, M. G., Mustafa, M. K., Nandi, B. K., Nasim, M., Nayak, T. K., Nelson, J. M., Nogach, L. V., Noh, S. Y., Novak, J., Nurushev, S. B., Odyniec, G., Ogawa, A., Oh, K., Ohlson, A., Okorokov, V., Oldag, E. W., Oliveira, R. A., Pachr, M., Page, B. S., Pal, S. K., Pan, Y. X., Pandit, Y., Panebratsev, Y., Pawlak, T., Pawlik, B., Pei, H., Perkins, C., Peryt, W., Peterson, A., Pile, P., Planinic, M., Pluta, J., Plyku, D., Poljak, N., Porter, J., Poskanzer, A. M., Pruthi, N. K., Przybycien, M., Pujahari, P. R., Qiu, H., Quintero, A., Ramachandran, S., Raniwala, R., Raniwala, S., Ray, R. L., Riley, C. K., Ritter, H. G., Roberts, J. B., Rogachevskiy, O. V., Romero, J. L., Ross, J. F., Roy, A., Ruan, L., Rusnak, J., Sahoo, N. R., Sahu, P. K., Sakrejda, I., Salur, S., Sandacz, A., Sandweiss, J., Sangaline, E., Sarkar, A., Schambach, J., Scharenberg, R. P., Schmah, A. M., Schmidke, W. B., Schmitz, N., Seger, J., Seyboth, P., Shah, N., Shahaliev, E., Shanmuganathan, P. V., Shao, M., Sharma, B., Shen, W. Q., Shi, S. S., Shou, Q. Y., Sichtermann, E. P., Singaraju, R. N., Skoby, M. J., Smirnov, D., Smirnov, N., Solanki, D., Sorensen, P., deSouza, U. G., Spinka, H. M., Srivastava, B., Stanislaus, T. D., Stevens, J. R., Stock, R., Strikhanov, M., Stringfellow, B., Suaide, A. A., Sumbera, M., Sun, X., Sun, X. M., Sun, Y., Sun, Z., Surrow, B., Svirida, D. N., Symons, T. J., Szanto de Toledo, A., Takahashi, J., Tang, A. H., Tang, Z., Tarnowsky, T., Thomas, J. H., Timmins, A. R., Tlusty, D., Tokarev, M., Trentalange, S., Tribble, R. E., Tribedy, P., Trzeciak, B. A., Tsai, O. D., Turnau, J., Ullrich, T., Underwood, D. G., Van Buren, G., van Nieuwenhuizen, G., Vanfossen, J. A., Varma, R., Vasconcelos, G. M., Vasiliev, A. N., Vertesi, R., Videbæk, F., Viyogi, Y. P., Vokal, S., Vossen, A., Wada, M., Walker, M., Wang, F., Wang, G., Wang, H., Wang, J. S., Wang, X. L., Wang, Y., Wang, Y., Webb, G., Webb, J. C., Westfall, G. D., Wieman, H., Wissink, S. W., Witt, R., Wu, Y. F., Xiao, Z., Xie, W., Xin, K., Xu, H., Xu, N., Xu, Q. H., Xu, Y., Xu, Z., Yan, W., Yang, C., Yang, Y., Yang, Y., Ye, Z., Yepes, P., Yi, L., Yip, K., Yoo, I. K., Zawisza, Y., Zbroszczyk, H., Zha, W., Zhang, J. B., Zhang, S., Zhang, X. P., Zhang, Y., Zhang, Z. P., Zhao, F., Zhao, J., Zhong, C., Zhu, X., Zhu, Y. H., Zoulkarneeva, Y., Zyzak, M. (2014). Beam energy dependence of moments of the net-charge multiplicity distributions in Au+Au collisions at RHIC. Physical review letters, 113(9), 092301. https://doi.org/10.1103/PhysRevLett.113.092301
Adamczyk, L, et al. "Beam energy dependence of moments of the net-charge multiplicity distributions in Au+Au collisions at RHIC." Physical review letters vol. 113,9 (2014): 092301. doi: https://doi.org/10.1103/PhysRevLett.113.092301
Adamczyk L, Adkins JK, Agakishiev G, Aggarwal MM, Ahammed Z, Alekseev I, Alford J, Anson CD, Aparin A, Arkhipkin D, Aschenauer EC, Averichev GS, Balewski J, Banerjee A, Barnovska Z, Beavis DR, Bellwied R, Bhasin A, Bhati AK, Bhattarai P, Bichsel H, Bielcik J, Bielcikova J, Bland LC, Bordyuzhin IG, Borowski W, Bouchet J, Brandin AV, Brovko SG, Bültmann S, Bunzarov I, Burton TP, Butterworth J, Caines H, Calderón de la Barca Sánchez M, Cebra D, Cendejas R, Cervantes MC, Chaloupka P, Chang Z, Chattopadhyay S, Chen HF, Chen JH, Chen L, Cheng J, Cherney M, Chikanian A, Christie W, Chwastowski J, Codrington MJ, Corliss R, Cramer JG, Crawford HJ, Cui X, Das S, Davila Leyva A, De Silva LC, Debbe RR, Dedovich TG, Deng J, Derevschikov AA, Derradi de Souza R, Dhamija S, di Ruzza B, Didenko L, Dilks C, Ding F, Djawotho P, Dong X, Drachenberg JL, Draper JE, Du CM, Dunkelberger LE, Dunlop JC, Efimov LG, Engelage J, Engle KS, Eppley G, Eun L, Evdokimov O, Fatemi R, Fazio S, Fedorisin J, Filip P, Finch E, Fisyak Y, Flores CE, Gagliardi CA, Gangadharan DR, Garand D, Geurts F, Gibson A, Girard M, Gliske S, Grosnick D, Guo Y, Gupta A, Gupta S, Guryn W, Haag B, Hajkova O, Hamed A, Han LX, Haque R, Harris JW, Hays-Wehle JP, Heppelmann S, Hirsch A, Hoffmann GW, Hofman DJ, Horvat S, Huang B, Huang HZ, Huck P, Humanic TJ, Igo G, Jacobs WW, Jang H, Judd EG, Kabana S, Kalinkin D, Kang K, Kauder K, Ke HW, Keane D, Kechechyan A, Kesich A, Khan ZH, Kikola DP, Kisel I, Kisiel A, Koetke DD, Kollegger T, Konzer J, Koralt I, Korsch W, Kotchenda L, Kravtsov P, Krueger K, Kulakov I, Kumar L, Kycia RA, Lamont MA, Landgraf JM, Landry KD, Lauret J, Lebedev A, Lednicky R, Lee JH, Leight W, LeVine MJ, Li C, Li W, Li X, Li X, Li Y, Li ZM, Lima LM, Lisa MA, Liu F, Ljubicic T, Llope WJ, Longacre RS, Luo X, Ma GL, Ma YG, Madagodagettige Don DM, Mahapatra DP, Majka R, Margetis S, Markert C, Masui H, Matis HS, McDonald D, McShane TS, Minaev NG, Mioduszewski S, Mohanty B, Mondal MM, Morozov DA, Munhoz MG, Mustafa MK, Nandi BK, Nasim M, Nayak TK, Nelson JM, Nogach LV, Noh SY, Novak J, Nurushev SB, Odyniec G, Ogawa A, Oh K, Ohlson A, Okorokov V, Oldag EW, Oliveira RA, Pachr M, Page BS, Pal SK, Pan YX, Pandit Y, Panebratsev Y, Pawlak T, Pawlik B, Pei H, Perkins C, Peryt W, Peterson A, Pile P, Planinic M, Pluta J, Plyku D, Poljak N, Porter J, Poskanzer AM, Pruthi NK, Przybycien M, Pujahari PR, Qiu H, Quintero A, Ramachandran S, Raniwala R, Raniwala S, Ray RL, Riley CK, Ritter HG, Roberts JB, Rogachevskiy OV, Romero JL, Ross JF, Roy A, Ruan L, Rusnak J, Sahoo NR, Sahu PK, Sakrejda I, Salur S, Sandacz A, Sandweiss J, Sangaline E, Sarkar A, Schambach J, Scharenberg RP, Schmah AM, Schmidke WB, Schmitz N, Seger J, Seyboth P, Shah N, Shahaliev E, Shanmuganathan PV, Shao M, Sharma B, Shen WQ, Shi SS, Shou QY, Sichtermann EP, Singaraju RN, Skoby MJ, Smirnov D, Smirnov N, Solanki D, Sorensen P, deSouza UG, Spinka HM, Srivastava B, Stanislaus TD, Stevens JR, Stock R, Strikhanov M, Stringfellow B, Suaide AA, Sumbera M, Sun X, Sun XM, Sun Y, Sun Z, Surrow B, Svirida DN, Symons TJ, Szanto de Toledo A, Takahashi J, Tang AH, Tang Z, Tarnowsky T, Thomas JH, Timmins AR, Tlusty D, Tokarev M, Trentalange S, Tribble RE, Tribedy P, Trzeciak BA, Tsai OD, Turnau J, Ullrich T, Underwood DG, Van Buren G, van Nieuwenhuizen G, Vanfossen JA, Varma R, Vasconcelos GM, Vasiliev AN, Vertesi R, Videbæk F, Viyogi YP, Vokal S, Vossen A, Wada M, Walker M, Wang F, Wang G, Wang H, Wang JS, Wang XL, Wang Y, Wang Y, Webb G, Webb JC, Westfall GD, Wieman H, Wissink SW, Witt R, Wu YF, Xiao Z, Xie W, Xin K, Xu H, Xu N, Xu QH, Xu Y, Xu Z, Yan W, Yang C, Yang Y, Yang Y, Ye Z, Yepes P, Yi L, Yip K, Yoo IK, Zawisza Y, Zbroszczyk H, Zha W, Zhang JB, Zhang S, Zhang XP, Zhang Y, Zhang ZP, Zhao F, Zhao J, Zhong C, Zhu X, Zhu YH, Zoulkarneeva Y, Zyzak M. Beam energy dependence of moments of the net-charge multiplicity distributions in Au+Au collisions at RHIC. Phys Rev Lett. 2014 Aug 29;113(9):092301. doi: 10.1103/PhysRevLett.113.092301. Epub 2014 Aug 26. PMID: 25215979.
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Phys Rev Lett. 2014 Aug 29;113(9):092301. doi: 10.1103/PhysRevLett.113.092301. Epub 2014 Aug 26.

Beam energy dependence of moments of the net-charge multiplicity distributions in Au+Au collisions at RHIC.

Physical review letters

L Adamczyk, J K Adkins, G Agakishiev, M M Aggarwal, Z Ahammed, I Alekseev, J Alford, C D Anson, A Aparin, D Arkhipkin, E C Aschenauer, G S Averichev, J Balewski, A Banerjee, Z Barnovska, D R Beavis, R Bellwied, A Bhasin, A K Bhati, P Bhattarai, H Bichsel, J Bielcik, J Bielcikova, L C Bland, I G Bordyuzhin, W Borowski, J Bouchet, A V Brandin, S G Brovko, S Bültmann, I Bunzarov, T P Burton, J Butterworth, H Caines, M Calderón de la Barca Sánchez, D Cebra, R Cendejas, M C Cervantes, P Chaloupka, Z Chang, S Chattopadhyay, H F Chen, J H Chen, L Chen, J Cheng, M Cherney, A Chikanian, W Christie, J Chwastowski, M J M Codrington, R Corliss, J G Cramer, H J Crawford, X Cui, S Das, A Davila Leyva, L C De Silva, R R Debbe, T G Dedovich, J Deng, A A Derevschikov, R Derradi de Souza, S Dhamija, B di Ruzza, L Didenko, C Dilks, F Ding, P Djawotho, X Dong, J L Drachenberg, J E Draper, C M Du, L E Dunkelberger, J C Dunlop, L G Efimov, J Engelage, K S Engle, G Eppley, L Eun, O Evdokimov, R Fatemi, S Fazio, J Fedorisin, P Filip, E Finch, Y Fisyak, C E Flores, C A Gagliardi, D R Gangadharan, D Garand, F Geurts, A Gibson, M Girard, S Gliske, D Grosnick, Y Guo, A Gupta, S Gupta, W Guryn, B Haag, O Hajkova, A Hamed, L-X Han, R Haque, J W Harris, J P Hays-Wehle, S Heppelmann, A Hirsch, G W Hoffmann, D J Hofman, S Horvat, B Huang, H Z Huang, P Huck, T J Humanic, G Igo, W W Jacobs, H Jang, E G Judd, S Kabana, D Kalinkin, K Kang, K Kauder, H W Ke, D Keane, A Kechechyan, A Kesich, Z H Khan, D P Kikola, I Kisel, A Kisiel, D D Koetke, T Kollegger, J Konzer, I Koralt, W Korsch, L Kotchenda, P Kravtsov, K Krueger, I Kulakov, L Kumar, R A Kycia, M A C Lamont, J M Landgraf, K D Landry, J Lauret, A Lebedev, R Lednicky, J H Lee, W Leight, M J LeVine, C Li, W Li, X Li, X Li, Y Li, Z M Li, L M Lima, M A Lisa, F Liu, T Ljubicic, W J Llope, R S Longacre, X Luo, G L Ma, Y G Ma, D M M D Madagodagettige Don, D P Mahapatra, R Majka, S Margetis, C Markert, H Masui, H S Matis, D McDonald, T S McShane, N G Minaev, S Mioduszewski, B Mohanty, M M Mondal, D A Morozov, M G Munhoz, M K Mustafa, B K Nandi, Md Nasim, T K Nayak, J M Nelson, L V Nogach, S Y Noh, J Novak, S B Nurushev, G Odyniec, A Ogawa, K Oh, A Ohlson, V Okorokov, E W Oldag, R A N Oliveira, M Pachr, B S Page, S K Pal, Y X Pan, Y Pandit, Y Panebratsev, T Pawlak, B Pawlik, H Pei, C Perkins, W Peryt, A Peterson, P Pile, M Planinic, J Pluta, D Plyku, N Poljak, J Porter, A M Poskanzer, N K Pruthi, M Przybycien, P R Pujahari, H Qiu, A Quintero, S Ramachandran, R Raniwala, S Raniwala, R L Ray, C K Riley, H G Ritter, J B Roberts, O V Rogachevskiy, J L Romero, J F Ross, A Roy, L Ruan, J Rusnak, N R Sahoo, P K Sahu, I Sakrejda, S Salur, A Sandacz, J Sandweiss, E Sangaline, A Sarkar, J Schambach, R P Scharenberg, A M Schmah, W B Schmidke, N Schmitz, J Seger, P Seyboth, N Shah, E Shahaliev, P V Shanmuganathan, M Shao, B Sharma, W Q Shen, S S Shi, Q Y Shou, E P Sichtermann, R N Singaraju, M J Skoby, D Smirnov, N Smirnov, D Solanki, P Sorensen, U G deSouza, H M Spinka, B Srivastava, T D S Stanislaus, J R Stevens, R Stock, M Strikhanov, B Stringfellow, A A P Suaide, M Sumbera, X Sun, X M Sun, Y Sun, Z Sun, B Surrow, D N Svirida, T J M Symons, A Szanto de Toledo, J Takahashi, A H Tang, Z Tang, T Tarnowsky, J H Thomas, A R Timmins, D Tlusty, M Tokarev, S Trentalange, R E Tribble, P Tribedy, B A Trzeciak, O D Tsai, J Turnau, T Ullrich, D G Underwood, G Van Buren, G van Nieuwenhuizen, J A Vanfossen, R Varma, G M S Vasconcelos, A N Vasiliev, R Vertesi, F Videbæk, Y P Viyogi, S Vokal, A Vossen, M Wada, M Walker, F Wang, G Wang, H Wang, J S Wang, X L Wang, Y Wang, Y Wang, G Webb, J C Webb, G D Westfall, H Wieman, S W Wissink, R Witt, Y F Wu, Z Xiao, W Xie, K Xin, H Xu, N Xu, Q H Xu, Y Xu, Z Xu, W Yan, C Yang, Y Yang, Y Yang, Z Ye, P Yepes, L Yi, K Yip, I-K Yoo, Y Zawisza, H Zbroszczyk, W Zha, J B Zhang, S Zhang, X P Zhang, Y Zhang, Z P Zhang, F Zhao, J Zhao, C Zhong, X Zhu, Y H Zhu, Y Zoulkarneeva, M Zyzak,

Affiliations

  1. AGH University of Science and Technology, Cracow, Poland.
  2. University of Kentucky, Lexington, Kentucky 40506-0055, USA.
  3. Joint Institute for Nuclear Research, Dubna 141 980, Russia.
  4. Panjab University, Chandigarh 160014, India.
  5. Variable Energy Cyclotron Centre, Kolkata 700064, India.
  6. Alikhanov Institute for Theoretical and Experimental Physics, Moscow, Russia.
  7. Kent State University, Kent, Ohio 44242, USA.
  8. Ohio State University, Columbus, Ohio 43210, USA.
  9. Brookhaven National Laboratory, Upton, New York 11973, USA.
  10. Massachusetts Institute of Technology, Cambridge, Massachusetts 02139-4307, USA.
  11. Nuclear Physics Institute AS CR, 250 68 ?ež/Prague, Czech Republic.
  12. University of Houston, Houston, Texas 77204, USA.
  13. University of Jammu, Jammu 180001, India.
  14. University of Texas, Austin, Texas 78712, USA.
  15. University of Washington, Seattle, Washington 98195, USA.
  16. Czech Technical University in Prague, FNSPE, Prague 115 19, Czech Republic.
  17. SUBATECH, Nantes, France.
  18. Moscow Engineering Physics Institute, Moscow, Russia.
  19. University of California, Davis, California 95616, USA.
  20. Old Dominion University, Norfolk, Virginia 23529, USA.
  21. Rice University, Houston, Texas 77251, USA.
  22. Yale University, New Haven, Connecticut 06520, USA.
  23. Pennsylvania State University, University Park, Pennsylvania 16802, USA.
  24. Texas A&M University, College Station, Texas 77843, USA.
  25. University of Science & Technology of China, Hefei 230026, China.
  26. Shanghai Institute of Applied Physics, Shanghai 201800, China.
  27. Central China Normal University (HZNU), Wuhan 430079, China.
  28. Tsinghua University, Beijing 100084, China.
  29. Creighton University, Omaha, Nebraska 68178, USA.
  30. Cracow University of Technology, Cracow, Poland.
  31. University of California, Berkeley, California 94720, USA.
  32. Institute of Physics, Bhubaneswar 751005, India.
  33. Shandong University, Jinan, Shandong 250100, China.
  34. Institute of High Energy Physics, Protvino, Russia.
  35. Universidade Estadual de Campinas, Sao Paulo, Brazil.
  36. Indiana University, Bloomington, Indiana 47408, USA.
  37. Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA.
  38. Valparaiso University, Valparaiso, Indiana 46383, USA.
  39. Institute of Modern Physics, Lanzhou, China.
  40. University of California, Los Angeles, California 90095, USA.
  41. United States Naval Academy, Annapolis, Maryland 21402, USA.
  42. University of Illinois at Chicago, Chicago, Illinois 60607, USA.
  43. Purdue University, West Lafayette, Indiana 47907, USA.
  44. Warsaw University of Technology, Warsaw, Poland.
  45. Argonne National Laboratory, Argonne, Illinois 60439, USA.
  46. National Institute of Science Education and Research, Bhubaneswar 751005, India.
  47. Korea Institute of Science and Technology Information, Daejeon, Korea.
  48. Frankfurt Institute for Advanced Studies FIAS, Germany.
  49. Temple University, Philadelphia, Pennsylvania 19122, USA.
  50. Universidade de Sao Paulo, Sao Paulo, Brazil.
  51. Indian Institute of Technology, Mumbai, India.
  52. University of Birmingham, Birmingham, United Kingdom.
  53. Michigan State University, East Lansing, Michigan 48824, USA.
  54. Pusan National University, Pusan, Republic of Korea.
  55. Institute of Nuclear Physics PAN, Cracow, Poland.
  56. University of Zagreb, Zagreb HR-10002, Croatia.
  57. University of Rajasthan, Jaipur 302004, India.
  58. Max-Planck-Institut für Physik, Munich, Germany.

PMID: 25215979 DOI: 10.1103/PhysRevLett.113.092301

Abstract

We report the first measurements of the moments--mean (M), variance (σ(2)), skewness (S), and kurtosis (κ)--of the net-charge multiplicity distributions at midrapidity in Au+Au collisions at seven energies, ranging from sqrt[sNN]=7.7 to 200 GeV, as a part of the Beam Energy Scan program at RHIC. The moments are related to the thermodynamic susceptibilities of net charge, and are sensitive to the location of the QCD critical point. We compare the products of the moments, σ(2)/M, Sσ, and κσ(2), with the expectations from Poisson and negative binomial distributions (NBDs). The Sσ values deviate from the Poisson baseline and are close to the NBD baseline, while the κσ(2) values tend to lie between the two. Within the present uncertainties, our data do not show nonmonotonic behavior as a function of collision energy. These measurements provide a valuable tool to extract the freeze-out parameters in heavy-ion collisions by comparing with theoretical models.

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