\begin{document}$E = 400 -1500$\end{document} MeV/nucleon. This analysis utilizes a Gaussian process (GP) emulator applied to the isospin-dependent quantum molecular dynamics (IQMD) model for heavy-ion collisions, both with and without incorporating the momentum dependence of the single-nucleon potentials. Specifically, at the 68% confidence level, using rapidity and transverse velocity dependence of proton elliptic flow data with and without consideration of the momentum dependence, the inferred incompressibility values are \begin{document}$K=188.9^{+2.9}_{-4.5}$\end{document} MeV and \begin{document}$256.1^{+8.2}_{-8.7}$\end{document} MeV at \begin{document}$E = 400$\end{document} MeV/nucleon, respectively. When the transverse momentum dependence of proton-like directed flow data is included, the inferred incompressibility values become \begin{document}$K=222.3^{+9.0}_{-9.9}$\end{document} MeV and \begin{document}$K=285.5^{+6.7}_{-7.3}$\end{document} MeV, respectively. Furthermore, we found that the value of K derived from observables of proton elliptic flow increases with beam energy. This indicates that the equation of state (EoS) of nuclear matter hardens at higher densities and temperatures in reactions with higher beam energies."> Bayesian inference of nuclear incompressibility from collective flow in mid-central Au+Au collisions at 400–1500 MeV/nucleon -
  • [1]

    J. P. Blaizot, Phys. Rep.64, 171 (1980)

  • [2]

    P. Möller, W. D. Myers, H. Sagawaet al., Phys. Rev. Lett.108, 052501 (2012)

  • [3]

    P. Sengeret al. (CBM Collaboration), Phys. Scr.96, 054002 (2021)

  • [4]

    G. F. Burgio, H.-J. Schulze, I. Vidañaet al., Prog. Part. Nucl. Phys.120, 103879 (2021)

  • [5]

    J. B. Wei, J. J. Lu, G. F. Burgioet al., Eur. Phys. J. A56, 63 (2020)

  • [6]

    G. F. Burgio, I. Vidaña, Universe6, 199 (2020)

  • [7]

    S. Balberg, I. Lichtenstadt, G. B. Cook, Astrophys. J. Suppl.121, 515 (1999)

  • [8]

    M. Oertel, F. Gulminelli, C. Providênciaet al., Eur. Phys. J. A52, 50 (2016)

  • [9]

    D. Chatterjee, I. Vidaña, Eur. Phys. J. A52, 29 (2016)

  • [10]

    D. Gerstung, N. Kaiser, W. Weise, Eur. Phys. J. A56, 175 (2020)

  • [11]

    R. Wang, Y. G. Ma, R. Wadaet al., Phys. Rev. Res.2, 043202 (2020)

  • [12]

    Y. G. Ma, L. G. Pang, R. Wanget al., Chin. Phys. Lett.40, 122101 (2023)

  • [13]

    J. Y. Xu, Z. Z. Li, B. H. Sunet al., Phys. Lett. B833, 137333 (2022)

  • [14]

    H. Shen, F. Ji, J. N. Huet al., Astrophys. J.891, 148 (2020)

  • [15]

    J. M. Lattimer, Annu. Rev. Nucl. Part. Sci.71, 433 (2021)

  • [16]

    J. Xu and P. Papakonstantinou, Phys. Rev. C105, 044305 (2022)

  • [17]

    R. An, S. Sun, L. G. Caoet al., Nucl. Sci. Tech.35, 182 (2024)

  • [18]

    Z. H. Wu, D. H. Wen, Chin. Phys. C48, 024101 (2024)

  • [19]

    W. J. Xie, J. L. Chen, Z. W. Maet al., Chin. Phys. C47, 014103 (2023)

  • [20]

    A. M. Zhao, Y. M. Shi, J. F. Liet al., Chin. Phys. C41, 103101 (2017)

  • [21]

    D. H. Youngblood, H. L. Clark, Y.-W. Lui, Phys. Rev. Lett.82, 691 (1999)

  • [22]

    U. Garg, G. Colò, Prog. Part. Nucl. Phys.101, 55 (2018)

  • [23]

    X. Roca-Maza, N. Paar, Prog. Part. Nucl. Phys.101, 96 (2018)

  • [24]

    J. Piekarewicz, J. Phys. G37, 064038 (2010)

  • [25]

    J. R. Stone, N. J. Stone, S. A. Moszkowski, Phys. Rev. C89, 044316 (2014)

  • [26]

    G. Colò, U. Garg, H. Sagawa, Eur. Phys. J. A50, 26 (2014)

  • [27]

    S. Shlomo, V.M. Kolomietz, G. Colò, Eur. Phys. J. A30, 23 (2016)

  • [28]

    E. Khan, J. Margueron, I. Vidaña, Phys. Rev. Lett.109, 092501 (2012)

  • [29]

    J. Margueron, R. Hoffmann Casali, F. Gulminelli, Phys. Rev. C97, 025805 (2018)

  • [30]

    W. Reisdorf, H. G. Ritter, Annu. Rev. Part. Nucl. Phys.47, 663 (1997)

  • [31]

    U. Heinz, R. Snellings, Annu. Rev. Part. Nucl. Phys.63, 123 (2013)

  • [32]

    Y. G. Ma, Journal of Fudan University (Natural Science)62, 273 (2023)

  • [33]

    B. A. Li, L. W. Chen, C. M. Ko, Phys. Rep.464, 113 (2008)

  • [34]

    H. Wolteret al. (TMEP Collaboration), Prog. Part. Nucl. Phys.125, 103962 (2022)

  • [35]

    A. Sorensen, K. Agarwal, K. W. Brownet al., Prog. Part. Nucl. Phys.134, 104080 (2024)

  • [36]

    S. Huth, P. T. H. Pang, I. Tewset al., Nature606, 276 (2022)

  • [37]

    D. Oliinychenko, A. Sorensen, V. Kochet al., Phys. Rev. C108, 034908 (2023)

  • [38]

    C. Y. Tsang, M. B. Tsang, W. G. Lynchet al., Nat. Astron.8, 328 (2024)

  • [39]

    M. O. Kuttan, J. Steinheimer, K. Zhouet al., Phys. Rev. Lett.131, 202303 (2023)

  • [40]

    A. Sorensen, V. Koch, Phys. Rev. C104, 034904 (2021)

  • [41]

    A. Le Fèvre, Y. Leifels, W. Reisdorfet al., Nucl. Phys. A945, 112 (2016)

  • [42]

    C. Fuchs, Prog. Part. Nucl. Phys.53, 113 (2004)

  • [43]

    Y. J. Wang, C. C. Guo, Q. F. Liet al., Phys. Lett. B778, 207 (2018)

  • [44]

    W. J. Xie, B. A. Li, J. Phys. G: Nucl. Part. Phys.48, 025110 (2021)

  • [45]

    B. A. Li, W. J. Xie, Nucl. Phys. A1039, 122726 (2023)

  • [46]

    Z. Z. Li, Y. F. Niu, G. Colò, Phys. Rev. Lett.131, 082501 (2023)

  • [47]

    G. Colò, Nucl. Sci. Tech.34, 189 (2023)

  • [48]

    B. A. Li, W. J. Xie, Phys. Rev. C104, 034610 (2021)

  • [49]

    J. Xu, Z. Zhang, B. A. Li, Phys. Rev. C104, 054324 (2021)

  • [50]

    B. A. Li, M. Magno, Phys. Rev. C102, 045807 (2020)

  • [51]

    J. Richter, B. A. Li, Phys. Rev. C108, 055803 (2023)

  • [52]

    J. Aichelin, A. Rosenhauer, G. Peilertet al., Phys. Rev. Lett.58, 1926 (1987)

  • [53]

    J. Aichelin, Phys. Rep.202, 233 (1991)

  • [54]

    C. Hartnack, R. K. Puri, J. Aichelinet al., Eur. Phys. J. A1, 151 (1988)

  • [55]

    Y. X. Zhang, N. Wang, Q. F. Liet al., Front. Phys.15, 54301 (2020)

  • [56]

    Y. X. Zhang, Y. J. Wang, M. Colonnaet al., Phys. Rev. C97, 034625 (2018)

  • [57]

    S. N. Wei, Z. Q. Feng, Nucl. Sci. Tech.35, 15 (2024)

  • [58]

    F. Y. Wang, J. P. Yang, X. Chenet al., Nucl. Sci. Tech.34, 94 (2023)

  • [59]

    K. Xiao, P. C. Li, Y. J. Wanget al., Nucl. Sci. Tech.34, 62 (2023)

  • [60]

    L. P. Csernai, G. Fai, C. Galeet al., Phys. Rev. C46, 736 (1992)

  • [61]

    G. Giuliani, H. Zheng, A. Bonasera, Prog. Part. Nucl. Phys.76, 116 (2014)

  • [62]

    Y. K. Vermani, S. Goyal, R. K. Puri, Phys. Rev. C79, 064613 (2009)

  • [63]

    F. Daffin, K. Haglin, W. Bauer, Phys. Rev. C54, 1375 (1996)

  • [64]

    A. B. Larionov, W. Cassing, S. Leupoldet al., Nucl. Phys. A696, 747 (2001)

  • [65]

    Z. Zhang, X. B. Feng, and L. W. Chen, Chin. Phys. C45, 064104 (2021)

  • [66]

    S. Pratt, E. Sangaline, P. Sorensenet al., Phys. Rev. Lett.114, 202301 (2015)

  • [67]

    J. Novak, K. Novak, S. Prattet al., Phys. Rev. C89, 034917 (2014)

  • [68]

    J. E. Bernhard, P. W. Marcy, C. E. Coleman-Smithet al., Phys. Rev. C91, 054910 (2015)

  • [69]

    J. E. Bernhard, J. S. Moreland, S. A. Bass, Nat. Phys.15, 1113 (2019)

  • [70]

    W. B. He, Q. F. Li, Y. G. Maet al., Sci. China Phys. Mech. Astron.66, 282001 (2023)

  • [71]

    W. B. He, Y. G. Ma, L. G. Panget al., Nucl. Sci. Tech.34, 88 (2023)

  • [72]

    K. Zhou, L. X. Wang, L. G. Panget al., Prog. Part. Nucl. Phys.135, 104084 (2024)

  • [73]

    L. G. Pang, X. N. Wang, Nucl. Sci. Tech.34, 194 (2023)

  • [74]

    P. Morfouace, C. Y. Tsang, Y. Zhanget al., Phys. Lett. B799, 135045 (2019)

  • [75]

    N. K. Patra, S. M. A. Imam, B. K. Agrawalet al., Phys. Rev. D106, 043024 (2022)

  • [76]

    N. Cox, X. Grundler, B. A. Li, Phys. Rev. C110, 044604 (2024)

  • [77]

    W. J. Xie, Z. W. Ma, J. H. Guo, Nucl. Sci. Tech.34, 6 (2023)

  • [78]

    J. Zhou, J. Xu, Sci. China Phys. Mech. Astron.67, 282011 (2024)

  • [79]

    E. Alhassan, D. Rochman, G. Schnabelet al., Nucl. Sci. Tech.35, 205 (2024)

  • [80]

    J. Z. Xie, K. P. Wang, C. Wanget al., Phys. Rev. C109, 064317 (2024)

  • [81]

    M. Alqahtani, R. S. Bhalerao, G. Giacaloneet al., Phys. Rev. C110, 064906 (2024)

  • [82]

    W. Reisdorfet al. (FOPI Collaboration), Nucl. Phys. A876, 1 (2012)

  • [83]

    A. Andronicet al. (FOPI Collaboration), Phys. Rev. C67, 034907 (2003)

  • [84]

    C. E. Rasmussen, C. K. I. Williams, MA: MIT press http://gaussianprocess.org/gpml/ (2006).

  • [85]

    N. Turkkan, T. Pham-Gia, J. Stat. Comput. Sim.44, 243 (1993)

  • [86]

    B. A. Li, B. J. Cai, L. W. Chenet al., Prog. Part. Nucl. Phys.99, 29 (2018)

  • [87]

    C. Gale, G. Bertsch, S. Das Gupta, Phys. Rev. C35, 1666 (1987)

  • [88]

    P. Danielewicz, Nucl. Phys. A673, 375 (2000)

  • [89]

    P. Danielewicz, Roy A. Lacey, P.-B. Gossiauxet al., Phys. Rev. Lett.81, 2438 (1998)

  • [90]

    L. A. Tarasovičová, J. Mohs, A. Andronicet al., Eur. Phys. J. A60, 232 (2024)

  • [91]

    B. A. Li, W. J. Xie, Phys. Rev. C111, 054602 (2025)

  • [92]

    A. Le Févre, Y. Leifels, C. Hartnacket al., Phys. Rev. C98, 034901 (2018)

  • [93]

    A. Andronicet al. (FOPI Collaboration), Phys. Lett. B612, 173 (2005)

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