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Screening masses of positive- and negative-parity hadron ground states, including those with strangeness

Chen Chen1,2,*, Fei Gao3,†, and Si-xue Qin4,‡

  • *Contact author: chenchen1031@ustc.edu.cn
  • †Contact author: fei.gao@bit.edu.cn
  • ‡Contact author: sqin@cqu.edu.cn

Phys. Rev. D 112, 014022 – Published 9 July, 2025

DOI: https://doi.org/10.1103/527r-mtxb

Abstract

Using a symmetry-preserving treatment of a vector × vector contact interaction at nonzero temperature, we compute the screening masses of flavor-SU(3) ground-state JP=0±, 1± mesons, and JP=1/2±, 3/2± baryons. We find that all correlation channels allowed at T=0 persist when the temperature increases, even above the QCD phase transition temperature. The results for mesons qualitatively agree with those obtained from the contemporary lattice-regularized quantum chromodynamics simulations. One of the most remarkable features is that each parity-partner-pair degenerates when T>Tc, with Tc being the critical temperature. For each pair, the screening mass of the negative parity meson increases monotonously with temperature. In contrast, the screening mass of the meson with positive parity is almost invariant on the domain T≲Tc/2; when T gets close to Tc, it decreases but soon increases again and finally degenerates with its parity partner, which signals the restoration of chiral symmetry. We also find that the T-dependent behaviors of baryon screening masses are quite similar to those of the mesons. For baryons, the dynamical, nonpointlike diquark correlations play a crucial role in the screening mass evolution. We further calculate the evolution of the fraction of each kind of diquark within baryons respective to temperature. We observe that, at high temperatures, only J=0 scalar and pseudoscalar diquark correlations can survive within JP=1/2± baryons.

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References (107)

  1. C. E. Detar and J. B. Kogut, Phys. Rev. Lett. 59, 399 (1987).
  2. C. E. Detar and J. B. Kogut, Phys. Rev. D 36, 2828 (1987).
  3. V. L. Eletsky and B. L. Ioffe, Sov. J. Nucl. Phys. 48, 384 (1988).
  4. K. l. Wang, Y. x. Liu, L. Chang, C. D. Roberts, and S. M. Schmidt, Phys. Rev. D 87, 074038 (2013).
  5. W. Florkowski and B. L. Friman, Z. Phys. A 347, 271 (1994).
  6. W. Florkowski and B. L. Friman, Acta Phys. Pol. B 25, 49 (1994).
  7. M. Ishii, H. Kouno, and M. Yahiro, Phys. Rev. D 95, 114022 (2017).
  8. L. Giusti, M. Laine, D. Laudicina, M. Pepe, and P. Rescigno, J. High Energy Phys. 06 (2024) 205.
  9. S. Gupta and N. Karthik, Phys. Rev. D 87, 094001 (2013).
  10. S. Datta, S. Gupta, M. Padmanath, J. Maiti, and N. Mathur, J. High Energy Phys. 02 (2013) 145.
  11. M. Cheng, S. Datta, A. Francis, J. van der Heide, C. Jung, O. Kaczmarek, F. Karsch, E. Laermann, R. D. Mawhinney, C. Miao et al., Eur. Phys. J. C 71, 1564 (2011).
  12. A. Bazavov, S. Dentinger, H. T. Ding, P. Hegde, O. Kaczmarek, F. Karsch, E. Laermann, A. Lahiri, S. Mukherjee, H. Ohno et al., Phys. Rev. D 100, 094510 (2019).
  13. M. Dalla Brida, L. Giusti, T. Harris, D. Laudicina, and M. Pepe, J. High Energy Phys. 04 (2022) 034.
  14. L. Giusti, T. Harris, D. Laudicina, M. Pepe, and P. Rescigno, Phys. Lett. B 855, 138799 (2024).
  15. G. Aarts, C. Allton, S. Hands, B. Jäger, C. Praki, and J. I. Skullerud, Phys. Rev. D 92, 014503 (2015).
  16. G. Aarts, C. Allton, D. De Boni, S. Hands, B. Jäger, C. Praki, and J. I. Skullerud, J. High Energy Phys. 06 (2017) 034.
  17. G. Aarts, C. Allton, D. De Boni, and B. Jäger, Phys. Rev. D 99, 074503 (2019).
  18. G. Aarts, C. Allton, M. N. Anwar, R. Bignell, T. J. Burns, B. Jäger, and J. I. Skullerud, Eur. Phys. J. A 60, 59 (2024).
  19. M. Ding, C. D. Roberts, and S. M. Schmidt, Particles 6, 57 (2023).
  20. C. D. Roberts and A. G. Williams, Prog. Part. Nucl. Phys. 33, 477 (1994).
  21. G. Eichmann, H. Sanchis-Alepuz, R. Williams, R. Alkofer, and C. S. Fischer, Prog. Part. Nucl. Phys. 91, 1 (2016).
  22. N. Dupuis, L. Canet, A. Eichhorn, W. Metzner, J. M. Pawlowski, M. Tissier, and N. Wschebor, Phys. Rep. 910, 1 (2021).
  23. Z. Q. Yao, Y. Z. Xu, D. Binosi, Z. F. Cui, M. Ding, K. Raya, C. D. Roberts, J. Rodríguez-Quintero, and S. M. Schmidt, Eur. Phys. J. A 61, 92 (2025).
  24. L. Tang, Y. X. Yang, Z. F. Cui, and C. D. Roberts, Phys. Lett. B 856, 138904 (2024).
  25. C. Chen, C. S. Fischer, and C. D. Roberts, Phys. Rev. Lett. 133, 131901 (2024).
  26. Y. Z. Xu, M. Ding, K. Raya, C. D. Roberts, J. Rodríguez-Quintero, and S. M. Schmidt, Eur. Phys. J. C 84, 191 (2024).
  27. P. L. Yin, C. Chen, C. S. Fischer, and C. D. Roberts, Eur. Phys. J. A 59, 163 (2023).
  28. C. Chen, C. S. Fischer, C. D. Roberts, and J. Segovia, Phys. Rev. D 105, 094022 (2022).
  29. Z. F. Cui, C. Chen, D. Binosi, F. de Soto, C. D. Roberts, J. Rodríguez-Quintero, S. M. Schmidt, and J. Segovia, Phys. Rev. D 102, 014043 (2020).
  30. G. Eichmann, C. S. Fischer, T. Haeuser, and O. Regenfelder, Eur. Phys. J. C 85, 445 (2025).
  31. J. Hoffer, G. Eichmann, and C. S. Fischer, Phys. Rev. D 111, 054028 (2025).
  32. J. Hoffer, G. Eichmann, and C. S. Fischer, Phys. Rev. D 109, 074025 (2024).
  33. J. Braun, L. Fister, J. M. Pawlowski, and F. Rennecke, Phys. Rev. D 94, 034016 (2016).
  34. R. Alkofer, A. Maas, W. A. Mian, M. Mitter, J. París-López, J. M. Pawlowski, and N. Wink, Phys. Rev. D 99, 054029 (2019).
  35. E. V. Souza, M. Narciso Ferreira, A. C. Aguilar, J. Papavassiliou, C. D. Roberts, and S. S. Xu, Eur. Phys. J. A 56, 25 (2020).
  36. K. Fukushima, J. M. Pawlowski, and N. Strodthoff, Ann. Phys. (Amsterdam) 446, 169106 (2022).
  37. F. Gao, A. S. Miramontes, J. Papavassiliou, and J. M. Pawlowski, Phys. Lett. B 863, 139384 (2025).
  38. F. E. Serna, R. C. da Silveira, and B. El-Bennich, Phys. Rev. D 106, L091504 (2022).
  39. R. C. da Silveira, F. E. Serna, and B. El-Bennich, Phys. Rev. D 107, 034021 (2023).
  40. F. E. Serna, B. El-Bennich, and G. Krein, Phys. Rev. D 110, 114033 (2024).
  41. C. Shi, J. Li, M. Li, X. Chen, and W. Jia, Phys. Rev. D 106, 014026 (2022).
  42. C. Shi, J. Li, P. L. Yin, and W. Jia, Phys. Rev. D 107, 074009 (2023).
  43. C. Shi, P. Liu, Y. L. Du, and W. Jia, Phys. Rev. D 110, 094010 (2024).
  44. T. F. Motta, J. Bernhardt, M. Buballa, and C. S. Fischer, Phys. Rev. D 110, 074014 (2024).
  45. J. Bernhardt and C. S. Fischer, Phys. Rev. D 108, 114018 (2023).
  46. T. F. Motta, J. Bernhardt, M. Buballa, and C. S. Fischer, Phys. Rev. D 108, 114019 (2023).
  47. P. J. Gunkel and C. S. Fischer, Phys. Rev. D 104, 054022 (2021).
  48. Y. Lu, F. Gao, Y. X. Liu, and J. M. Pawlowski, Phys. Rev. D 110, 014036 (2024).
  49. Y. Lu, F. Gao, B. Fu, H. Song, and Y. X. Liu, Phys. Rev. D 109, 114031 (2024).
  50. F. Gao and J. M. Pawlowski, Phys. Lett. B 820, 136584 (2021).
  51. F. Gao and J. M. Pawlowski, Phys. Rev. D 102, 034027 (2020).
  52. J. Braun, W. j. Fu, J. M. Pawlowski, F. Rennecke, D. Rosenblüh, and S. Yin, Phys. Rev. D 102, 056010 (2020).
  53. C. D. Roberts and S. M. Schmidt, Prog. Part. Nucl. Phys. 45, S1 (2000).
  54. C. S. Fischer, Prog. Part. Nucl. Phys. 105, 1 (2019).
  55. F. Gao and Y. x. Liu, Phys. Rev. D 97, 056011 (2018).
  56. P. Maris, C. D. Roberts, S. M. Schmidt, and P. C. Tandy, Phys. Rev. C 63, 025202 (2001).
  57. D. Blaschke, G. Burau, Y. L. Kalinovsky, P. Maris, and P. C. Tandy, Int. J. Mod. Phys. A 16, 2267 (2001).
  58. S. M. Schmidt, D. Blaschke, and Y. L. Kalinovsky, Phys. Rev. C 50, 435 (1994).
  59. C. Chen, L. Chang, C. D. Roberts, S. Wan, and D. J. Wilson, Few Body Syst. 53, 293 (2012).
  60. S. S. Xu, C. Chen, I. C. Cloet, C. D. Roberts, J. Segovia, and H. S. Zong, Phys. Rev. D 92, 114034 (2015).
  61. Y. Lu, C. Chen, C. D. Roberts, J. Segovia, S. S. Xu, and H. S. Zong, Phys. Rev. C 96, 015208 (2017).
  62. P. L. Yin, C. Chen, G. Krein, C. D. Roberts, J. Segovia, and S. S. Xu, Phys. Rev. D 100, 034008 (2019).
  63. P. L. Yin, Z. F. Cui, C. D. Roberts, and J. Segovia, Eur. Phys. J. C 81, 327 (2021).
  64. G. Paredes-Torres, L. X. Gutiérrez-Guerrero, A. Bashir, and Á. S. Miramontes, Phys. Rev. D 109, 114006 (2024).
  65. L. X. Gutiérrez-Guerrero, A. Raya, L. Albino, and R. J. Hernández-Pinto, Phys. Rev. D 110, 074015 (2024).
  66. L. X. Gutiérrez-Guerrero, G. Paredes-Torres, and A. Bashir, Phys. Rev. D 104, 094013 (2021).
  67. L. X. Gutiérrez-Guerrero, A. Bashir, M. A. Bedolla, and E. Santopinto, Phys. Rev. D 100, 114032 (2019).
  68. C. Chen, L. Chang, C. D. Roberts, S. M. Schmidt, S. Wan, and D. J. Wilson, Phys. Rev. C 87, 045207 (2013).
  69. J. Segovia, C. Chen, C. D. Roberts, and S. Wan, Phys. Rev. C 88, 032201 (2013).
  70. J. Segovia, C. Chen, I. C. Cloët, C. D. Roberts, S. M. Schmidt, and S. Wan, Few Body Syst. 55, 1 (2014).
  71. P. Cheng, F. E. Serna, Z. Q. Yao, C. Chen, Z. F. Cui, and C. D. Roberts, Phys. Rev. D 106, 054031 (2022).
  72. M. A. Sultan, Z. Xing, K. Raya, A. Bashir, and L. Chang, Phys. Rev. D 110, 054034 (2024).
  73. R. J. Hernández-Pinto, L. X. Gutiérrez-Guerrero, A. Bashir, M. A. Bedolla, and I. M. Higuera-Angulo, Phys. Rev. D 107, 054002 (2023).
  74. Y. Xu, M. A. Sultan, K. Raya, and L. Chang, Phys. Rev. D 110, 094036 (2024).
  75. X. Wang, Z. Xing, J. Kang, K. Raya, and L. Chang, Phys. Rev. D 106, 054016 (2022).
  76. K. Raya, L. X. Gutiérrez-Guerrero, A. Bashir, L. Chang, Z. F. Cui, Y. Lu, C. D. Roberts, and J. Segovia, Eur. Phys. J. A 57, 266 (2021).
  77. C. Chen, B. El-Bennich, C. D. Roberts, S. M. Schmidt, J. Segovia, and S. Wan, Phys. Rev. D 97, 034016 (2018).
  78. L. Liu, C. Chen, Y. Lu, C. D. Roberts, and J. Segovia, Phys. Rev. D 105, 114047 (2022).
  79. L. Liu, C. Chen, and C. D. Roberts, Phys. Rev. D 107, 014002 (2023).
  80. G. Eichmann, C. S. Fischer, and H. Sanchis-Alepuz, Phys. Rev. D 94, 094033 (2016).
  81. C. Chen, G. I. Krein, C. D. Roberts, S. M. Schmidt, and J. Segovia, Phys. Rev. D 100, 054009 (2019).
  82. A. Bender, C. D. Roberts, and L. Von Smekal, Phys. Lett. B 380, 7 (1996).
  83. H. J. Munczek, Phys. Rev. D 52, 4736 (1995).
  84. S. x. Qin, L. Chang, Y. x. Liu, C. D. Roberts, and D. J. Wilson, Phys. Rev. C 85, 035202 (2012).
  85. A. C. Aguilar, D. Binosi, and J. Papavassiliou, J. High Energy Phys. 07 (2010) 002.
  86. P. Boucaud, M. E. Gomez, J. P. Leroy, A. Le Yaouanc, J. Micheli, O. Pene, and J. Rodriguez-Quintero, Phys. Rev. D 82, 054007 (2010).
  87. D. Ebert, T. Feldmann, and H. Reinhardt, Phys. Lett. B 388, 154 (1996).
  88. G. Krein, C. D. Roberts, and A. G. Williams, Int. J. Mod. Phys. A 07, 5607 (1992).
  89. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic Press, New York, 1943), ISBN [Amazon][WorldCat], [Amazon][WorldCat].
  90. A. Bazavov, T. Bhattacharya, M. Cheng, C. DeTar, H. T. Ding, S. Gottlieb, R. Gupta, P. Hegde, U. M. Heller, F. Karsch et al., Phys. Rev. D 85, 054503 (2012).
  91. A. Bazavov et al. (HotQCD Collaboration), Phys. Lett. B 795, 15 (2019).
  92. H. L. L. Roberts, A. Bashir, L. X. Gutierrez-Guerrero, C. D. Roberts, and D. J. Wilson, Phys. Rev. C 83, 065206 (2011).
  93. S. x. Qin and D. H. Rischke, Phys. Rev. D 88, 056007 (2013).
  94. C. S. Fischer, L. Fister, J. Luecker, and J. M. Pawlowski, Phys. Lett. B 732, 273 (2014).
  95. Y. Mo, S. x. Qin, and Y. x. Liu, Phys. Rev. C 82, 025206 (2010).
  96. F. Gao and M. Ding, Eur. Phys. J. C 80, 1171 (2020).
  97. W. Heupel, G. Eichmann, and C. S. Fischer, Phys. Lett. B 718, 545 (2012).
  98. G. Eichmann, C. S. Fischer, and W. Heupel, Phys. Lett. B 753, 282 (2016).
  99. S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024).
  100. E. Braaten and A. Nieto, Phys. Rev. D 53, 3421 (1996).
  101. M. Laine and M. Vepsalainen, J. High Energy Phys. 02 (2004) 004.
  102. R. T. Cahill, C. D. Roberts, and J. Praschifka, Aust. J. Phys. 42, 129 (1989).
  103. R. T. Cahill, C. D. Roberts, and J. Praschifka, Phys. Rev. D 36, 2804 (1987).
  104. C. L. Korpa and A. E. L. Dieperink, Phys. Rev. C 70, 015207 (2004).
  105. J. C. Ward, Phys. Rev. 78, 182 (1950).
  106. H. S. Green, Proc. Phys. Soc. London Sect. A 66, 873 (1953).
  107. Y. Takahashi, Nuovo Cimento 6, 371 (1957).

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