\begin{document}$ a_0 $\end{document} and \begin{document}$ a_2 $\end{document} are studied at finite temperature and in finite spatial volume under the framework of the Nambu–Jona-Lasinio model. The behavior beyond the pseudo transition temperature is investigated using proper time regularization. The scattering length \begin{document}$ a_0 $\end{document} exhibits singularity near the Mott temperature, and \begin{document}$ a_2 $\end{document} is a continuous but non-monotonic function of temperature. We present the effect of finite volume on the scattering length and find that \begin{document}$ a_0 $\end{document} can be negative and its singularity disappears at small volumes, which may hint at the existence of a chiral phase transition with decreasing volume."> Temperature and volume dependence of pion-pion scattering lengths -
  • [1]

    J. Adamset al(STAR), Nucl. Phys. A757, 102 (2005)

  • [2]

    X. Luo and N. Xu, Nucl. Sci. Tech.28, 112 (2017)

  • [3]

    K. Fukushima and T. Hatsuda, Rept. Prog. Phys.74, 014001 (2011)

  • [4]

    E. Annala, T. Gorda, A. Kurkelaet al., Nature Phys.16, 907 (2020)

  • [5]

    T. Horn and C. D. Roberts, J. Phys. G43, 073001 (2016)

  • [6]

    V. Pascalutsa and M. Vanderhaeghen, Phys. Rev. D73, 034003 (2006)

  • [7]

    H. J. Schulze, J. Phys. G21, 185 (1995)

  • [8]

    E. Quack, P. Zhuang, Y. Kalinovskyet al., Phys. Lett. B348, 1 (1995)

  • [9]

    M. Huang, P. Zhuang, and W. Chao, Phys. Lett. B465, 55 (1999)

  • [10]

    W.-J. Fu and Y.-X. Liu, Phys. Rev. D79, 074011 (2009)

  • [11]

    G. Colangelo, J. Gasser, and H. Leutwyler, Phys. Lett. B488, 261 (2000)

  • [12]

    Z. T. Draper and S. R. Sharpe, Phys. Rev. D105, 034508 (2022)

  • [13]

    J. Eser and J.-P. Blaizot, Phys. Rev. D105, 074031 (2022)

  • [14]

    G. S. Bali, F. Bruckmann, G. Endrodiet al., Rev. D86, 071502 (2012)

  • [15]

    B.-k. Sheng, X. Wang, and L. Yu, Phys. Rev. D105, 034003 (2022)

  • [16]

    Q. W. Wang, Z. F. Cui, and H. S. Zong, Phys. Rev. D94, 096003 (2016)

  • [17]

    Z. Fodor and S. D. Katz, JHEP04, 050 (2004)

  • [18]

    L. F. Palhares, E. S. Fraga, and T. Kodama, J. Phys. G38, 085101 (2011)

  • [19]

    J. Luecker, C. S. Fischer, and R. Williams, Phys. Rev. D81, 094005 (2010)

  • [20]

    J. Gasser and H. Leutwyler, Phys. Lett. B184, 83 (1987)

  • [21]

    J. Braun, B. Klein, and H. J. Pirner, Phys. Rev. D72, 034017 (2005)

  • [22]

    Y. Xia, Q. Wang, H. Fenget al., Chin. Phys. C43, 034101 (2019)

  • [23]

    L. M. Abreu, M. Gomes, and A. J. da Silva, Phys. Lett. B642, 551 (2006)

  • [24]

    K. Saha, S. Ghosh, S. Upadhayaet al., Phys. Rev. D97, 116020 (2018)

  • [25]

    P. Deb, S. Ghosh, J. Prakashet al., Chin. Phys. C46, 044102 (2022)

  • [26]

    B. Klein, Physics Reports707-708, 1 (2017)

  • [27]

    Q. Wang, Y. Xia, and H. Zong, Mod. Phys. Lett. A33, 1850232 (2018)

  • [28]

    J. S. Schwinger, Phys. Rev.82, 664 (1951)

  • [29]

    M. Buballa, Phys. Rept.407, 205 (2005)

  • [30]

    S. P. Klevansky, Rev. Mod. Phys.64, 649 (1992)

  • [31]

    J. Braun, B. Klein, and H. Pirner, Phys. Rev. D71, 044102 (2005)

  • [32]

    J. Braun, B. Klein, H. J. Pirneret al., Phys. Rev. D73, 074010 (2006)

  • [33]

    Z.-F. Cui, J.-L. Zhang, and H.-S. Zong, Sci. Rep.7, 45937 (2017)

  • [34]

    S.-B. Liao, Phys. Rev. D53, 2020 (1996)

  • [35]

    Z.-F. Cui, C. Shi, W.-M. Sunet al., Eur. Phys. J. C74, 2782 (2014)

  • [36]

    Y. Ninomiya, W. Bentz, and I. C. Cloet, Phys. Rev. C91, 025202 (2015)

  • [37]

    M. Gell-Mann, R. J. Oakes, and B. Renner, Phys. Rev.175, 2195 (1968)

  • [38]

    S. Weinberg, Phys. Rev. Lett.17, 616 (1966)

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