\begin{document}$ \Sigma_u^- $\end{document} hybrid potential at zero temperature and chemical potential was first proposed by Andreev and is perfectly described. In this study, we extended the aforementioned model to finite chemical potential and compared the separate distance and pseudopotentials of \begin{document}$ \Sigma_g^+ $\end{document} and \begin{document}$ \Sigma_u^- $\end{document}. Unlike the \begin{document}$ \Sigma_g^+ $\end{document} ground state, the \begin{document}$ \Sigma_u^- $\end{document} hybrid pseudopotentials no longer exhibit Coulomb-like behavior at short distances. In addition, temperature and chemical potential have a significant impact on the \begin{document}$ \Sigma_u^- $\end{document} hybrid pseudopotentials. The screen distances and hybrid pseudopotentials of \begin{document}$ \Sigma_u^- $\end{document} significantly decrease when increasing temperature and chemical potential. We represented the melting diagram of \begin{document}$ \Sigma_g^+ $\end{document} and \begin{document}$ \Sigma_u^- $\end{document} in the \begin{document}$ T- \mu $\end{document} plane and confirmed that the quark-antiquark pair in \begin{document}$ \Sigma_u^- $\end{document} excited state is easier to melt than that in \begin{document}$ \Sigma_g^+ $\end{document} ground state."> Exotic hybrid pseudopotentials at finite temperature and chemical potential -
  • [1]

    W. Fischler, Nucl. Phys. B129, 157 (1977)

  • [2]

    L. S. Brown and W. I. Weisberger, Phys. Rev. D20, 3239 (1979)

  • [3]

    G. S. Bali, K. Schilling, and A. Wachter, Phys. Rev. D56, 2566 (1997), arXiv: hep-lat/9703019

  • [4]

    M. Baker, J. S. Ball, and F. Zachariasen, Phys. Rev. D56, 4400 (1997), arXiv: hep-ph/9705207

  • [5]

    G. S. Bali, Phys. Rept.343, 1 (2001), arXiv: hep-ph/0001312

  • [6]

    T. T. Takahashi, H. Suganuma, Y. Nemotoet al., Phys. Rev. D65, 114509 (2002), arXiv: hep-lat/0204011

  • [7]

    C. Ratti, M. A. Thaler, and W. Weise, Phys. Rev. D73, 014019 (2006), arXiv: hep-ph/0506234

  • [8]

    P. Bicudo, M. Cardoso, and O. Oliveira, Phys. Rev. D77, 091504 (2008), arXiv: 0704.2156

  • [9]

    M. Lüscher, JHEP08, 071 (2010), arXiv: 1006.4518

  • [10]

    K. J. Juge, J. Kuti, and C. Morningstar, Phys. Rev. Lett.90, 161601 (2003), arXiv: hep-lat/0207004

  • [11]

    Y. Koma and M. Koma, Phys. Rev. D95, 094513 (2017), arXiv: 1703.06247

  • [12]

    L. Müller, O. Philipsen, C. Reisingeret al., Phys. Rev. D100, 054503 (2019), arXiv: 1907.01482

  • [13]

    N. Brambilla,et al., Phys. Rev. D105, 054514 (2022), arXiv: 2106.01794

  • [14]

    C. Schlosser and M. Wagner, arXiv: 2112.01911

  • [15]

    C. Schlosser and M. Wagner, Phys. Rev. D105, 054503 (2022), arXiv: 2111.00741

  • [16]

    C. Schlosser, S. Köhler, and M. Wagner, arXiv: 2211.00489

  • [17]

    O. Philipsen and M. Wagner, Phys. Rev. D89, 014509 (2014), arXiv: 1305.5957

  • [18]

    D. Bala and S. Datta, Phys. Rev. D103, 014512 (2021), arXiv: 2009.00773

  • [19]

    J. M. Maldacena, Adv. Theor. Math. Phys.2, 231 (1998), arXiv: hep-th/9711200

  • [20]

    S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B428, 105 (1998), arXiv: hep-th/9802109

  • [21]

    E. Witten, Adv. Theor. Math. Phys.2, 253 (1998), arXiv: hep-th/9802150

  • [22]

    J. M. Maldacena, Phys. Rev. Lett.80, 4859 (1998), arXiv: hep-th/9803002

  • [23]

    O. Aharony, S. S. Gubser, J. M. Maldacenaet al., Phys. Rept.323, 183 (2000), arXiv: hep-th/9905111

  • [24]

    S.-J. Rey, S. Theisen, and J.-T. Yee, Nucl. Phys. B527, 171 (1998), arXiv: hep-th/9803135

  • [25]

    A. Brandhuber, N. Itzhaki, J. Sonnenscheinet al., Phys. Lett. B434, 36 (1998), arXiv: hep-th/9803137

  • [26]

    O. Andreev and V. I. Zakharov, Phys. Lett. B645, 437 (2007), arXiv: hep-ph/0607026

  • [27]

    K. B. Fadafan and E. Azimfard, Nucl. Phys. B863, 347 (2012), arXiv: 1203.3942

  • [28]

    B.-H. Lee, C. Park, and S. Nam, JHEP05, 011 (2015), arXiv: 1412.3097

  • [29]

    X. Chen, S.-Q. Feng, Y.-F. Shiet al., Phys. Rev. D97, 066015 (2018), arXiv: 1710.00465

  • [30]

    J.-J. Jiang, Y.-Z. Xiao, J. Qinet al., Chin. Phys. C47, 013106 (2023), arXiv: 2212.03541

  • [31]

    S. Chakraborty and N. Haque, Nucl. Phys. B874, 821 (2013), arXiv: 1212.2769

  • [32]

    S. I. Finazzo and J. Noronha, JHEP01, 051 (2015), arXiv: 1406.2683

  • [33]

    U. Gürsoy, M. Järvinen, G. Nijset al., JHEP03, 180 (2021), arXiv: 2011.09474

  • [34]

    J. Zhou, X. Chen, Y.-Q. Zhaoet al., Phys. Rev. D102, 086020 (2020), arXiv: 2006.09062

  • [35]

    J. Zhou, X. Chen, Y.-Q. Zhaoet al., Phys. Rev. D102, 126029 (2021)

  • [36]

    J. Zhou, S. Zhang, J. Chenet al., Phys. Lett. B844, 138116 (2023), arXiv: 2310.15609

  • [37]

    O. Andreev, Phys. Rev. D78, 065007 (2008), arXiv: 0804.4756

  • [38]

    O. Andreev, Phys. Rev. D93, 105014 (2016), arXiv: 1511.03484

  • [39]

    O. Andreev, Phys. Lett. B756, 6 (2016), arXiv: 1505.01067

  • [40]

    O. Andreev, Phys. Lett. B804, 135406 (2020), arXiv: 1909.12771

  • [41]

    O. Andreev, JHEP05, 173 (2021), arXiv: 2007.15466

  • [42]

    O. Andreev, Phys. Rev. D104, 026005 (2021), arXiv: 2101.03858

  • [43]

    O. Andreev, Phys. Rev. D105, 086025 (2022), arXiv: 2111.14418

  • [44]

    O. Andreev, Phys. Rev. D106, 066002 (2022), arXiv: 2205.12119

  • [45]

    X. Chen, B. Yu, P.-C. Chuet al., Chin. Phys. C46, 073102 (2022), arXiv: 2112.06234

  • [46]

    B. Yu, X. Guo, X. Chenet al., Phys. Rev. D108, 066007 (2023), arXiv: 2305.19091

  • [47]

    J.-J. Jiang, X. Chen, J. Qinet al., arXiv: 2310.04983

  • [48]

    X. Liu, J.-J. Jiang, X. Chenet al., arXiv: 2310.08146

  • [49]

    N. Isgur and J. E. Paton, Phys. Rev. D31, 2910 (1985)

  • [50]

    C. McNeile, Nucl. Phys. A711, 303 (2002), arXiv: hep-lat/0207001

  • [51]

    K. J. Juge, J. Kuti, and C. J. Morningstar, Nucl. Phys. B Proc. Suppl.63, 326 (1998), arXiv: hep-lat/9709131

  • [52]

    C. Michael, Nucl. Phys. A655, 12 (1999), arXiv: hep-ph/9810415

  • [53]

    C. Michael, arXiv: hep-ph/0308293

  • [54]

    P. Bicudo, M. Cardoso, and O. Oliveira, arXiv: 0811.0535

  • [55]

    P. Wolf and M. Wagner, J. Phys. Conf. Ser.599, 012005 (2015), arXiv: 1410.7578

  • [56]

    C. A. Meyer and E. S. Swanson, Prog. Part. Nucl. Phys.82, 21 (2015), arXiv: 1502.07276

  • [57]

    C. Reisinger, S. Capitani, O. Philipsenet al., EPJ Web Conf.175, 05012 (2018), arXiv: 1708.05562

  • [58]

    S. Capitani, O. Philipsen, C. Reisingeret al., Phys. Rev. D99, 034502 (2019), arXiv: 1811.11046

  • [59]

    C. Borgs, Nucl. Phys. B261, 455 (1985)

  • [60]

    E. Manousakis and J. Polonyi, Phys. Rev. Lett.58, 847 (1987)

  • [61]

    O. Andreev, Phys. Rev. D87, 065006 (2013), arXiv: 1211.0930

  • [62]

    O. Andreev and V. I. Zakharov, Phys. Rev. D74, 025023 (2006), arXiv: hep-ph/0604204

  • [63]

    O. Andreev, Phys. Rev. D109, 106001 (2024), arXiv: 2402.09026

  • [64]

    O. Andreev, Phys. Rev. D86, 065013 (2012), arXiv: 1207.1892

  • [65]

    R. T. Coet al., JHEP09, 116 (2022), arXiv: 2108.09299

  • [66]

    E. Witten, JHEP07, 006 (1998), arXiv: hep-th/9805112

  • [67]

    O. Andreev, Phys. Rev. D76, 087702 (2007), arXiv: 0706.3120

  • [68]

    O. Andreev, Phys. Lett. B659, 416 (2008), arXiv: 0709.4395

Baidu
map