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Vorticity in isobar collisions of \(^{96}_{44}\)Ru + \(^{96}_{44}\)Ru and \(^{96}_{40}\)Zr + \(^{96}_{40}\)Zr at \(\sqrt{{\textrm{s}}_{\textrm{NN}}}\) = 200 GeV

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Abstract

The kinematic vorticity and thermal vorticity are calculated in isobar collisions of 200 GeV \(^{96}_{44}\)Ru + \(^{96}_{44}\)Ru and \(^{96}_{40}\)Zr + \(^{96}_{40}\)Zr with different deformation parameters within the framework of Ultra-relativistic Quantum Molecular Dynamics model (UrQMD), and a little difference of vorticity between \(^{96}_{44}\)Ru + \(^{96}_{44}\)Ru and \(^{96}_{40}\)Zr + \(^{96}_{40}\)Zr collisions is observed. From the ratios of (Zr-Ru)/Ru of vorticity in different deformation cases, it is found that ratios in deformation cases decrease with the increasing of centrality (i.e. more peripheral) but increase in the case without deformation. And an opposite signal is observed for ratios between nuclear collisions with deformation and without deformation. In addition, the effect of deformation parameter \(\beta _{2}\) is discussed and it is found that the larger \(\beta _{2}\) the deformation of the nuclei has, the higher vorticity the collision system presents in the \(^{96}_{40}\)Zr + \(^{96}_{40}\)Zr collisions. However, it is insensitive in the \(^{96}_{44}\)Ru + \(^{96}_{44}\)Ru collisions.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: There is no additional data to be attached in the draft. The source data for the manuscript can request from corresponding authors.]

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China under contract Nos. 11890714, 12147101, and 12205049, the National Key R &D Program of China under Grant Nos. 2018YFE0104600, Guangdong Major Project of Basic and Applied Basic Research No. 2020B0301030008, and China Postdoctoral Innovative Talent Program of China No. BX20200098.

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Authors and Affiliations

  1. Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai, 201800, China

    Bao-Shan Xi

  2. University of Chinese Academy of Sciences, Beijing, 100049, China

    Bao-Shan Xi

  3. ShanghaiTech University, Shanghai, 201800, China

    Bao-Shan Xi

  4. Key Laboratory of Nuclear Physics and Ion-beam Application (MOE), Institute of Modern Physics, Fudan University, Shanghai, 200433, China

    Xian-Gai Deng, Song Zhang & Yu-Gang Ma

  5. Shanghai Research Center for Theoretical Nuclear Physics, NSFC and Fudan University, Shanghai, 200438, China

    Xian-Gai Deng, Song Zhang & Yu-Gang Ma

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Correspondence to Yu-Gang Ma.

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Xi, BS., Deng, XG., Zhang, S. et al. Vorticity in isobar collisions of \(^{96}_{44}\)Ru + \(^{96}_{44}\)Ru and \(^{96}_{40}\)Zr + \(^{96}_{40}\)Zr at \(\sqrt{{\textrm{s}}_{\textrm{NN}}}\) = 200 GeV. Eur. Phys. J. A 59, 33 (2023). https://doi.org/10.1140/epja/s10050-023-00932-w

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