Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

ϕ meson properties in dense resonance matter at finite temperature

Manpreet Kaur* and Arvind Kumar†

  • *Contact author: ranapreeti803@gmail.com
  • †Contact author: kumara@nitj.ac.in

Phys. Rev. D 112, 014030 – Published 16 July, 2025

DOI: https://doi.org/10.1103/h2ll-5js4

Abstract

The effective mass and decay width of the ϕ meson in the isospin asymmetric hot and dense resonance matter are studied using the effective Lagrangian framework considering the ϕKK¯ interactions at one-loop level. In addition to spin-1/2 octet baryons, we consider the effect of resonances Δ++,+,0,−,Σ*±,0,Ξ*0,−,Ω−, on the properties of ϕ meson. The in-medium effects on the ϕ meson properties are simulated through the effective masses of kaons and antikaons computed using the chiral SU(3) hadronic mean field model in the presence of resonance baryons. The loop integral appearing in the computation of ϕ meson self-energies is regularized using the dipole form factor with a cutoff parameter. The presence of resonance baryons within the medium at finite temperature is observed to significantly modify the effective mass and decay width of ϕ mesons. Examining the ϕ meson masses and decay width within a dense medium is anticipated to be essential for understanding experimental results from heavy-ion collision experiments.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (147)

  1. S. Leupold, V. Metag, and U. Mosel, Int. J. Mod. Phys. E 19, 147 (2010).
  2. R. S. Hayano and T. Hatsuda, Rev. Mod. Phys. 82, 2949 (2010).
  3. T. Maruyama, S. Chiba, H.-J. Schulze, and T. Tatsumi, Phys. Lett. B 659, 192 (2008).
  4. P. Wang et al., Phys. Rev. C 75, 045202 (2007).
  5. L. Tolos and L. Fabbietti, Prog. Part. Nucl. Phys. 112, 103770 (2020).
  6. I. Pushkina, P. d. Forcrand, M. Garcia Perez, S. Kim, H. Matsufuru, A. Nakamura, I.-O. Stamatescu, T. Takaishi, and T. Umeda, Phys. Lett. B 609, 265 (2005).
  7. J. Rafelski and J. Letessier, Phys. Rev. Lett. 85, 4695 (2000).
  8. A. G. Knospe, EPJ Web Conf. 171, 09001 (2018).
  9. M. Harrison, T. Ludlam, and S. Ozaki, Nucl. Instrum. Methods Phys. Res., Sect. A 499, 235 (2003).
  10. B. Friman, C. Höhne, J. Knoll, S. Leupold, J. Randrup, R. Rapp, and P. Senger, Lect. Notes Phys. 814, 1 (2011).
  11. L. Kumar et al., Nucl. Phys. A904, 256c (2013).
  12. G. Odyniec, J. Phys. G 37, 094028 (2010).
  13. L. Evans, New J. Phys. 9, 335 (2007).
  14. P. Di Nezza et al., Proc. Sci. SPIN2023 (2024) 036.
  15. K. Agarwal, Phys. Scr. 98, 034006 (2023).
  16. P. Senger, Central Eur. J. Phys. 10, 1289 (2012).
  17. T. Nilsson, Phys. Scr. T 166, 014070 (2015).
  18. A. Herlert, EPJ Web Conf. 71, 00064 (2014).
  19. R. Rapp, D. Blaschke, and P. Crochet, Prog. Part. Nucl. Phys. 65, 209 (2010).
  20. S. Sawada, Nucl. Phys. A782, 434 (2007).
  21. H. Hotchi et al., Phys. Rev. Accel. Beams 20, 060402 (2017).
  22. V. D. Kekelidze, V. A. Matveev, I. N. Meshkov, A. S. Sorin, and G. V. Trubnikov, Phys. Part. Nucl. 48, 727 (2017).
  23. V. D. Kekelidze et al., Nucl. Phys. A967, 884 (2017).
  24. A. Milov, Eur. Phys. J. C 61, 721 (2009).
  25. K. G. Wilson, Phys. Rev. D 10, 2445 (1974).
  26. A. Alexandru, G. Başar, P. F. Bedaque, and N. C. Warrington, Rev. Mod. Phys. 94, 015006 (2022).
  27. J. Bloch and T. Wettig, J. High Energy Phys. 03 (2009) 100.
  28. K. Fukushima and Y. Hidaka, Phys. Rev. D 75, 036002 (2007).
  29. S. Muroya, A. Nakamura, C. Nonaka, and T. Takaishi, Prog. Theor. Phys. 110, 615 (2003).
  30. T. Takaishi, Prog. Theor. Phys. Suppl. 153, 277 (2004).
  31. K. Tsushima et al., Phys. Rev. C 59, 2824 (1999).
  32. K. Saito and A. W. Thomas, Phys. Lett. B 327, 9 (1994).
  33. K. Tsushima, K. Saito, J. Haidenbauer, and A. W. Thomas, Nucl. Phys. A630, 691 (1998).
  34. G. Cao, Eur. Phys. J. A 57, 264 (2021).
  35. A. Bochkarev and J. I. Kapusta, Phys. Rev. D 54, 4066 (1996).
  36. P. Huovinen and P. Petreczky, Nucl. Phys. A837, 26 (2010).
  37. S. R. Wadia, Phys. Rev. D 24, 970 (1981).
  38. A. Pich, Rep. Prog. Phys. 58, 563 (1995).
  39. S. Scherer, Adv. Nucl. Phys. 27, 277 (2003).
  40. T. Waas, M. Rho, and W. Weise, Nucl. Phys. A617, 449 (1997).
  41. T. Hatsuda, and S. H. Lee, Phys. Rev. C 46, R34 (1992).
  42. A. Kumar and A. Mishra, Eur. Phys. J. A 47, 164 (2011).
  43. Z. Y. Zhang, Y. W. Yu, P. N. Shen, L. R. Dai, A. Faessler, and U. Straub, Nucl. Phys. A625, 59 (1997).
  44. P. Wang, D. B. Leinweber, A. W. Thomas, and A. G. Williams, Nucl. Phys. A744, 273 (2004).
  45. P. Papazoglou et al., Phys. Rev. C 59, 411 (1999).
  46. A. Mishra, A. Kumar, S. Sanyal, V. Dexheimer, and S. Schramm, Eur. Phys. J. A 45, 169 (2010).
  47. V. Dexheimer and S. Schramm, Astrophys. J. 683, 943 (2008).
  48. R. Kumar and A. Kumar, Phys. Rev. C 102, 045206 (2020).
  49. N. Chahal et al., Eur. Phys. J. C 84, 1028 (2024).
  50. D. Zschiesche et al., Phys. Rev. C 70, 045202 (2004).
  51. N. Cruz-Camacho, R. Kumar, M. Reinke Pelicer, J. Peterson, T. A. Manning, R. Haas, V. Dexheimer, and J. Noronha-Hostler, Phys. Rev. D 111, 094030 (2025).
  52. M. Kaur and A. Kumar, Phys. Rev. D 110, 114054 (2024).
  53. B.-J. Schaefer, J. M. Pawlowski, and J. Wambach, Phys. Rev. D 76, 074023 (2007).
  54. T. K. Herbst, J. M. Pawlowski, and B.-J. Schaefer, Phys. Lett. B 696, 58 (2011).
  55. R. Stiele, E. S. Fraga, and J. Schaffner-Bielich, Phys. Lett. B 729, 72 (2014).
  56. A. Ramos and E. Oset, Nucl. Phys. A671, 481 (2000).
  57. J. Schaffner-Bielich, V. Koch, and M. Effenberger, Nucl. Phys. A669, 153 (2000).
  58. M. Lutz, Phys. Lett. B 426, 12 (1998).
  59. L. Tolós, J. Schaffner-Bielich, and A. Mishra, Phys. Rev. C 70, 025203 (2004).
  60. L. Tolós, J. Schaffner-Bielich, and H. Stöcker, Phys. Lett. B 635, 85 (2006).
  61. L. Tolós, A. Ramos, and T. Mizutani, Phys. Rev. C 77, 015207 (2008).
  62. Y.-F. Wang, EPJ Web Conf. 291, 02004 (2024).
  63. W.-Y. Liu and H.-X. Chen, Eur. Phys. J. C 85, 636 (2025).
  64. D. J. Wilson, C. E. Thomas, J. J. Dudek, and R. G. Edwards, Phys. Rev. Lett. 132, 241901 (2024).
  65. J. Rozynek and G. Wilk, J. Phys. G 36, 125108 (2009).
  66. A. Adel and T. Alharbi, Eur. Phys. J. A 53, 1 (2017).
  67. G. S. Bali, F. Bruckmann, G. Endrődi, Z. Fodor, S. D. Katz, S. Krieg, A. Schäfer, and K. K. Szabó, J. High Energy Phys. 02 (2012) 044.
  68. G. S. Bali et al., Proc. Sci. ConfinementX2012 (2012) 197.
  69. J. Peterson, P. Costa, R. Kumar, V. Dexheimer, R. Negreiros, and C. Providência, Phys. Rev. D 108, 063011 (2023).
  70. A. Bhattacharyya, R. Ray, S. Samanta, and S. Sur, Phys. Rev. C 91, 041901 (2015).
  71. N. Magdy, M. Csanád, and R. A. Lacey, J. Phys. G 44, 025101 (2017).
  72. J. Braun, B. Klein, and B.-J. Schaefer, Phys. Lett. B 713, 216 (2012).
  73. M. Ruggieri and G. X. Peng, Phys. Rev. D 93, 094021 (2016).
  74. M. Ruggieri, Z. Y. Lu, and G. X. Peng, Phys. Rev. D 94, 116003 (2016).
  75. P. Senger, Nucl. Phys. A835, 102 (2010).
  76. G.-C. Yong, Phys. Rev. D 108, L091507 (2023).
  77. T. Song, J. Aichelin, and E. Bratkovskaya, Phys. Rev. C 106, 024903 (2022).
  78. S. Okubo, Phys. Lett. 5, 165 (1963).
  79. J. Iizuka, Prog. Theor. Phys. Suppl. 37, 21 (1966).
  80. H. J. Lipkin, Nucl. Phys. B244, 147 (1984).
  81. M. Asakawa and C. Ko, Nucl. Phys. A572, 732 (1994).
  82. T. Hatsuda, H. Shiomi, and H. Kuwabara, Prog. Theor. Phys. 95, 1009 (1996).
  83. J.-P. Blaizot and R. M. Galain, Phys. Lett. B 271, 32 (1991).
  84. H. Kuwabara and T. Hatsuda, Prog. Theor. Phys. 94, 1163 (1995).
  85. E. Oset, M. J. Vicente Vacas, H. Toki, and A. Ramos, Phys. Lett. B 508, 237 (2001).
  86. A. Bhattacharyya, S. K. Ghosh, S. C. Phatak, and S. Raha, Phys. Rev. C 55, 1463 (1997).
  87. F. Klingl, N. Kaiser, and W. Weise, Nucl. Phys. A624, 527 (1997).
  88. J. J. Cobos-Martínez, K. Tsushima, G. Krein, and A. W. Thomas, Phys. Lett. B 771, 113 (2017).
  89. J. J. Cobos-Martínez et al., Phys. Rev. C 96, 035201 (2017).
  90. R. Muto et al., Phys. Rev. Lett. 98, 042501 (2007).
  91. T. Mibe et al., Phys. Rev. C 76, 052202 (2007).
  92. X. Qian, W. Chen et al., Phys. Lett. B 680, 417 (2009).
  93. T. Ishikawa et al., Phys. Lett. B 608, 215 (2005).
  94. H. Sako et al., J. Subatomic Part. Cosmol. 1–2, 100012 (2024).
  95. K. Aoki et al., J. Subatomic Part. Cosmol. 3, 100019 (2025).
  96. W. T. Chiang, B. Saghai, F. Tabakin, and T.-S. H. Lee, Phys. Rev. C 69, 065208 (2004).
  97. M. Lutz, Phys. Lett. B 426, 12 (1998).
  98. F. Klingl, T. Waas, and W. Weise, Phys. Lett. B 431, 254 (1998).
  99. P. Gubler and K. Ohtani, Phys. Rev. D 90, 094002 (2014).
  100. W. S. Chung, G.-Q. Li, and C. M. Ko, Nucl. Phys. A625, 347 (1997).
  101. S. Pal, C. M. Ko, and Z.-w. Lin, Nucl. Phys. A707, 525 (2002).
  102. E. Y. Paryev, Nucl. Phys. A1032, 122624 (2023).
  103. A. Kumar and A. Mishra, Chin. Phys. C 49, 074106 (2025).
  104. A. Mondal and A. Mishra, Phys. Rev. D 111, 094037 (2025).
  105. Z.-H. Tu and S.-G. Zhou, Astrophys. J. 925, 16 (2022).
  106. C. Wu and W. Guo, Eur. Phys. J. Plus 140, 193 (2025).
  107. J. Song, J. Phys. Conf. Ser. 1602, 012008 (2020).
  108. J. Lömker, Proc. Sci. EPS-HEP2023 (2024) 216.
  109. A. Rosano, Proc. Sci. ICHEP2022 (2022) 1066.
  110. S. Kiselev, Phys. At. Nucl. 85, 965 (2022).
  111. P. F. Bedaque, Phys. Lett. B 387, 1 (1996).
  112. J. M. Torres-Rincon, B. Sintes, and J. Aichelin, Phys. Rev. C 91, 065206 (2015).
  113. Y.-J. Xu, Y.-L. Liu, and M.-Q. Huang, Commun. Theor. Phys. 63, 209 (2015).
  114. K. Azizi and G. Bozk𝚤r, Eur. Phys. J. C 76, 521 (2016).
  115. K. Azizi, N. Er, and H. Sundu, Phys. Rev. D 94, 114002 (2016).
  116. S. M. Ouellette and R. Seki, Phys. Lett. B 404, 108 (1997).
  117. A. Kumar, S. Dutt, and H. Dahiya, Eur. Phys. J. A 60, 4 (2024).
  118. C. Y. Ryu, C. H. Hyun, T.-S. Park, and S. W. Hong, Phys. Lett. B 674, 122 (2009).
  119. H. Singh, A. Kumar, and H. Dahiya, Eur. Phys. J. Plus 134, 128 (2019).
  120. H. Singh, A. Kumar, and H. Dahiya, Eur. Phys. J. Plus 135, 422 (2020).
  121. D. Zschiesche, P. Papazoglou, S. Schramm, J. Schaffner-Bielich, H. Stöcker, and W. Greiner, Phys. Rev. C 63, 025211 (2001).
  122. H. Lenske and M. Dhar, Lect. Notes Phys. 948, 161 (2018).
  123. N. K. Glendenning, Phys. Lett. 114B, 392 (1982).
  124. J. C. T. Oliveira, H. Rodrigues, and S. B. Duarte, J. Phys. Conf. Ser. 1291, 012038 (2019).
  125. A. R. Raduta, M. Oertel, and A. Sedrakian, Mon. Not. R. Astron. Soc. 499, 914 (2020).
  126. V. Dexheimer, K. D. Marquez, and D. P. Menezes, Eur. Phys. J. A 57, 216 (2021).
  127. P. Alba, V. M. Sarti, J. Noronha-Hostler, P. Parotto, I. Portillo-Vazquez, C. Ratti, and J. M. Stafford, Phys. Rev. C 101, 054905 (2020).
  128. S. Weinberg, Phys. Rev. 166, 1568 (1968).
  129. W. Bardeen and B. Lee, Phys. Rev. C 177, 2389 (1969).
  130. A. Mishra, A. Kumar, S. Sanyal, and S. Schramm, Eur. Phys. J. A 41, 205 (2009).
  131. A. Mishra, S. Schramm, and W. Greiner, Phys. Rev. C 78, 024901 (2008).
  132. T. Barnes and E. S. Swanson, Phys. Rev. C 49, 1166 (1994).
  133. C. M. Ko, P. Lévai, X. J. Qiu, and C. T. Li, Phys. Rev. C 45, 1400 (1992).
  134. F. Klingl, N. Kaiser, and W. Weise, Z. Phys. A 356, 193 (1996).
  135. G. Krein, A. W. Thomas, and K. Tsushima, Phys. Lett. B 697, 136 (2011).
  136. K. L. Haglin and C. Gale, Nucl. Phys. B421, 613 (1994).
  137. C. Gale and J. I. Kapusta, Nucl. Phys. B357, 65 (1991).
  138. C. Song, Phys. Lett. B 388, 141 (1996).
  139. F. E. Close and E. S. Swanson, Phys. Rev. D 72, 094004 (2005).
  140. S. Godfrey and N. Isgur, Phys. Rev. D 32, 189 (1985).
  141. G.-Q. Li and C. M. Ko, Nucl. Phys. A582, 731 (1995).
  142. P. Gubler and W. Weise, Nucl. Phys. A954, 125 (2016).
  143. D. Cabrera and M. J. Vicente Vacas, Phys. Rev. C 67, 045203 (2003).
  144. J. Weil et al., Proc. Sci. BORMIO2011 (2011) 053.
  145. H. W. Barz et al., Open Nucl. Part. Phys. J. 3, 1 (2010).
  146. K. Aoki et al., Few Body Syst. 64, 63 (2023).
  147. M. Destefanis, Nucl. Phys. B245, 199 (2013).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation