Skip to main content
Log in

Azimuthal anisotropy and multiplicities of hard photons and free nucleons in intermediate-energy heavy-ion collisions

  • Regular Article – Theoretical Physics
  • Published:
The European Physical Journal A Aims and scope Submit manuscript

Abstract

Anisotropic flow can offer significant information of evolution dynamics in heavy-ion collisions. A systematic study of the directed flow \(v_1\) and elliptic flow \(v_2\) of hard photons and free nucleons is performed for \(^{40}\)Ca + \(^{40}\)Ca collisions in a framework of isospin-dependent quantum molecular dynamics (IQMD) model. The study firstly reveals that thermal photons emitted in intermediate-energy heavy-ion collisions have the behaviors of directed and elliptic flows. The interesting phenomena of incident energy dependence of \(v_1\) and \(v_2\) for thermal photons in central collisions also confirmed that it can be regarded as a good probe of evolution dynamics. Moreover, the multiplicities of hard photons and free nucleons and their correlation are also investigated. We find that direct photon emission is positively related to free nucleons emission, however, there exists an anti-correlation for thermal photons with free nucleons.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This is a theoretical study and no experimental data has been listed.]

References

  1. B. Borderie, J.D. Frankland, Prog. Part. Nucl. Phys. 105, 82 (2019)

    ADS  Google Scholar 

  2. C.W. Ma, Y.G. Ma, Prog. Part. Nucl. Phys. 99, 120 (2018)

    ADS  Google Scholar 

  3. Y.G. Ma, W.Q. Shen, Phys. Rev. C 51, 710 (1995)

    ADS  Google Scholar 

  4. J. Pochodzalla et al., Phys. Rev. Lett. 75, 1040 (1995)

    ADS  Google Scholar 

  5. Y.G. Ma, Phys. Rev. Lett. 83, 3617 (1999)

    ADS  Google Scholar 

  6. J.B. Natowitz, K. Hagel, Y.G. Ma, M. Murray, L. Qin, R. Wada, J. Wang, Phys. Rev. Lett. 89, 212701 (2002)

    ADS  Google Scholar 

  7. Y.G. Ma, R. Wada, K. Hagel, J. Wang, T. Keutgen, Z. Majka, M. Murray, L. Qin, P. Smith, J.B. Natowitz, R. Alfaro, J. Cibor, M. Cinausero, Y. El Masri, D. Fabris, E. Fioretto, A. Keksis, M. Lunardon, A. Makeev, N. Marie, E. Martin, A. Martinez-Davalos, A. Menchaca-Rocha, G. Nebbia, G. Prete, V. Rizzi, A. Ruangma, D.V. Shetty, G. Souliotis, P. Staszel, M. Veselsky, G. Viesti, E.M. Winchester, S.J. Yennello, Phys. Rev. C 69, 031604(R) (2004)

    ADS  Google Scholar 

  8. Y.G. Ma, J.B. Natowitz, R. Wada, K. Hagel, J. Wang, T. Keutgen, Z. Majka, M. Murray, L. Qin, P. Smith, R. Alfaro, J. Cibor, M. Cinausero, Y. El Masri, D. Fabris, E. Fioretto, A. Keksis, M. Lunardon, A. Makeev, N. Marie, E. Martin, A. Martinez-Davalos, A. Menchaca-Rocha, G. Nebbia, G. Prete, V. Rizzi, A. Ruangma, D.V. Shetty, G. Souliotis, P. Staszel, M. Veselsky, G. Viesti, E.M. Winchester, S.J. Yennello, Phys. Rev. C 71, 054606 (2005)

    ADS  Google Scholar 

  9. Y.G. Ma, W.Q. Shen, Nucl. Sci. Tech. 15, 4 (2004)

    Google Scholar 

  10. H.L. Liu, Y.G. Ma, D.Q. Fang, Phys. Rev. C 99, 054614 (2019)

    ADS  Google Scholar 

  11. A. Bonasera, R. Coniglione, P. Sapienza, Eur. Phys. J. A 30, 47 (2006)

    ADS  Google Scholar 

  12. W. Cassing, V. Metag, U. Mosel, K. Niita, Phys. Rep. 188, 363 (1990)

    ADS  Google Scholar 

  13. Y. Schutza (TAPS Collaboration), Nucl. Phys. A 630, 126c (1998)

  14. G.H. Liu, Y.G. Ma, X.Z. Cai, D.Q. Fang, W.Q. Shen, W.D. Tian, K. Wang, Phys. Lett. B 663, 312 (2008)

    ADS  Google Scholar 

  15. Y.G. Ma, G.H. Liu, X.Z. Cai, D.Q. Fang, W. Guo, W.Q. Shen, W.D. Tian, H.W. Wang, Phys. Rev. C 85, 024618 (2012)

    ADS  Google Scholar 

  16. X.G. Deng, Y.G. Ma, Eur. Phys. J. A 54, 204 (2018)

    ADS  Google Scholar 

  17. G.C. Yong, B.A. Li, Phys. Rev. C 96, 064614 (2017)

    ADS  Google Scholar 

  18. H. Nifenecker, J.A. Pinston, Annu. Rev. Part. Nucl. Sci. 40, 113 (1990)

    ADS  Google Scholar 

  19. K.B. Beard, W. Benenson, C. Bloch, E. Kashy, J. Stevenson, D.J. Morrissey, J. van der Plicht, B. Sherrill, J.S. Winfield, Phys. Rev. C 32, 1111 (1985)

    ADS  Google Scholar 

  20. C.L. Tam, J. Stevenson, W. Benenson, J. Clayton, Y. Chen, E. Kashy, A.R. Lampis, D.J. Morrissey, M. Samuel, T.K. Murakami, J.S. Winfield, Phys. Rev. C 38, 2526 (1988)

    ADS  Google Scholar 

  21. M. Kwato Njock, M. Maurel, E. Monnand, H. Nifenecker, J.A. Pinston, F. Schussler, D. Barneoud, Y. Schutz, Nucl. Phys. A 482, 489c (1988)

  22. J. Stevenson, K.B. Beard, W. Benenson, J. Clayton, E. Kashy, A. Lampis, D.J. Morrissey, M. Samuel, R.J. Smith, C.L. Tam, J.S. Winfield, Phys. Rev. Lett 57, 555 (1986)

    ADS  Google Scholar 

  23. E. Grosse, P. Grimm, H. Heckwolf, W.F.J. Müller, H. Noll, A. Oskarsson, H. Stelzer, Europhys. Lett. 2, 9 (1986)

    ADS  Google Scholar 

  24. R. Bertholet, M. Kwato Njock, M. Maurel, E. Monnand, H. Nifenecker, P. Perrin, J.A. Pinston, F. Schussler, D. Barneoud, C. Guet, Y. Schutz, Nucl. Phys. A 474, 541 (1987)

    ADS  Google Scholar 

  25. E. Migneco, C. Agodi, R. Alba, G. Bellia, R. Coniglione, A. Del Zoppo, P. Finocchiaro, C. Maiolino, P. Piattelli, G. Russo, P. Sapienza, A. Badali, R. Barbera, A. Palmeri, G.S. Pappalardo, F. Riggi, A.C. Russo, A. Peghaire, A. Bonasera, Phys. Lett. B 298, 46 (1993)

    ADS  Google Scholar 

  26. B.A. Remington, M. Blann, G.F. Bertsch, Phys. Rev. Lett. 57, 2909 (1986)

    ADS  Google Scholar 

  27. B.A. Remington, M. Blann, Phys. Rev. C 36, 1387 (1987)

    ADS  Google Scholar 

  28. C.M. Ko, C.Y. Wong, Phys. Rev. C 33, 153 (1986)

    ADS  Google Scholar 

  29. K. Nakayama, G. Bertsch, Phys. Rev. C 34, 2190 (1986)

    ADS  Google Scholar 

  30. T.S. Biro, K. Niita, A.L. De Paoli, W. Bauer, W. Cassing, U. Mosel, Nucl. Phys. A 475, 579 (1987)

    ADS  Google Scholar 

  31. C.M. Ko, G. Bertsch, J. Aichelin, Phys. Rev. C 31, 2324 (1985)

    ADS  Google Scholar 

  32. K. Niita, A.L. De Paoli, W. Bauer, T.S. Biro, W. Cassing, U. Mosel, Nucl. Phys. A 482, 525c (1988)

    ADS  Google Scholar 

  33. W. Bauer, G.F. Bertsch, W. Cassing, U. Mosel, Phys. Rev. C 34, 2127 (1986)

    ADS  Google Scholar 

  34. W. Cassing, T. Biro, U. Mosel, M. Tohyama, W. Bauer, Phys. Lett. B 181, 217 (1986)

    ADS  Google Scholar 

  35. D.T. Khoa, N. Ohtsuka, S.W. Huang, M. Ismail, A. Faessler, M. El Shabshiry, J. Aichelin, Nucl. Phys. A 529, 363 (1991)

    ADS  Google Scholar 

  36. G. Martínez, F.M. Marqués, Y. Schutz, Gy Wolf, J. Díaz, M. Franke, S. Hlaváč, R. Holzmann, P. Lautridou, F. Lefèvre, H. Löhner, A. Marín, T. Matulewicz, W. Mittig, R.W. Ostendorf, J.H.G. van Pol, J. Québert, P. Roussel-Chomaz, A. Schubert, R.H. Siemssen, R.S. Simon, Z. Sujkowski, V. Wagner, H.W. Wilschut, Phys. Lett. B 349, 23 (1995)

    ADS  Google Scholar 

  37. F.M. Marqués, G. Martínez, Y. Schutz, J. Díaz, M. Franke, S. Hlaváč, R. Holzmann, P. Lautridou, F. Lefèvre, H. Löhner, A. Marín, T. Matulewicz, W. Mittig, R.W. Ostendorf, J.H.G. van Pol, J. Québert, P. Roussel-Chomaz, A. Schubert, R.H. Siemssen, R.S. Simon, Z. Sujkowski, V. Wagner, H.W. Wilschut, Gy Wolf, Phys. Lett. B 349, 30 (1995)

    ADS  Google Scholar 

  38. F. Zhang, C. Li, P.W. Wen, J.W. Liu, J. Sun, F.S. Zhang, Phys. Rev. C 100, 024603 (2019)

    ADS  Google Scholar 

  39. A. Bonasera, G. Russo, Il Nuovo Cimeto 105, 301 (1992)

    ADS  Google Scholar 

  40. A. Bonasera, M. Bruno, C.O. Dorso, P.F. Mastinu, Rivista Del Nuovo Cimento 23, 1 (2000)

    Google Scholar 

  41. Y. Schutz, G. Martínez, F.M. Marqués et al., Nucl. Phys. A 622, 404 (1997)

    ADS  Google Scholar 

  42. Z.J. He, J.L. Long, Y.G. Ma, X.M. Xu, B. Liu, Phys. Lett. B 628, 25 (2005)

    ADS  Google Scholar 

  43. J.L. Long, Z.J. He, Y.G. Ma, B. Liu, Phys. Rev. C 72, 064907 (2005)

    ADS  Google Scholar 

  44. S. Turbide, C. Gale, R.J. Fries, Phys. Rev. Lett. 96, 032303 (2006)

    ADS  Google Scholar 

  45. R. Chatterjee, E.S. Frodermann, U. Heinz, D.K. Srivastava, Phys. Rev. Lett. 96, 202302 (2006)

    ADS  Google Scholar 

  46. L. Bhattacharya, P. Roy, Phys. Rev. C 78, 064904 (2008)

    ADS  Google Scholar 

  47. A. Adare et al. (PHENIX Collaboration), Phys. Rev. Lett. 104, 132301 (2010)

  48. R. Rapp, H. van Hees, M. He, Nucl. Phys. A 931, 696 (2014)

    ADS  Google Scholar 

  49. P. Dasgupta, R. Chatterjee, S.K. Singh, Jan-e Alam, Phys. Rev. C 97, 034902 (2018)

  50. V.V. Goloviznin, A.V. Nikolskii, A.M. Snigirev, G.M. Zinovjev, Eur. Phys. J. A 55, 142 (2019)

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  52. C. Hartnack, R.K. Puri, J. Aichelin, J. Konopka, S.A. Bass, H. Stoecker, W. Greiner, Eur. Phys. J. A 1, 151 (1998)

    ADS  Google Scholar 

  53. L.W. Chen, F.S. Zhang, G.M. Jin, Phys. Rev. C 58, 2283 (1998)

    Google Scholar 

  54. T.Z. Yan, S. Li, Nucl. Sci. Tech. 30, 43 (2019)

    Google Scholar 

  55. T.-T. Wang, Y.-G. Ma, Z.-Q. Zhang, Phys. Rev. C 99, 054626 (2019)

    ADS  Google Scholar 

  56. T.Z. Yan, S. Li, Y.N. Wang, F. Xie, Nucl. Sci. Tech. 30, 15 (2019)

    Google Scholar 

  57. P.C. Li, Y.J. Wang, Q.F. Li, H.F. Zhang, Nucl. Sci. Tech. 29, 177 (2018)

    Google Scholar 

  58. A. Ono, J. Xu, M. Colonna et al., Phys. Rev. C 100, 044617 (2019)

    ADS  Google Scholar 

  59. Z.F. Zhang, D.Q. Fang, Y.G. Ma, Nucl. Sci. Tech. 29, 78 (2018)

    ADS  Google Scholar 

  60. Z.Q. Feng, Nucl. Sci. Tech. 29, 40 (2018)

    Google Scholar 

  61. S. Sood, R. Kumar, A. Sharma, R.K. Puri, Phys. Rev. C 99, 054612 (2019)

    ADS  Google Scholar 

  62. O. Lopez, D. Durand, G. Lehaut, B. Borderie, J.D. Frankland, M.F. Rivet, R. Bougault, A. Chbihi, E. Galichet, D. Guinet, M. La Commara, N. Le Neindre, I. Lombardo, L. Manduci, P. Marini, P. Napolitani, M. Parlog, E. Rosato, G. Spadaccini, E. Vient, M. Vigilante, Phys. Rev. C 90, 064602 (2014)

    ADS  Google Scholar 

  63. K. Chen, Z. Fraenkel, G. Friedlander, J.R. Grover, J.M. Miller, Y. Shimamoto, Phys. Rev. 166, 949 (1968)

    ADS  Google Scholar 

  64. P. Danielewicz, Acta. Phys. Pol. B 33, 45 (2002)

    ADS  Google Scholar 

  65. D.D.S. Coupland, W.G. Lynch, M.B. Tsang, P. Danielewicz, Y.X. Zhang, Phys. Rev. C 84, 054603 (2011)

    ADS  Google Scholar 

  66. S.S. Wang, Y.G. Ma, X.G. Cao, D.Q. Fang, C.W. Ma, Phys. Rev. C 102, 024620 (2020)

    ADS  Google Scholar 

  67. J.D. Jackson, Classical Electrodynamics (Wiley, New York, 1962), p. 733

    Google Scholar 

  68. Y.X. Zhang, Y.J. Wang, M. Colonna, P. Danielewicz, A. Ono, M.B. Tsang, H. Wolter, J. Xu, L.W. Chen, D. Cozma, Z.Q. Feng, S. Das Gupta, N. Ikeno, C.M. Ko, B.A. Li, Q.F. Li, Z.X. Li, S. Mallik, Y. Nara, T. Ogawa, A. Ohnishi, D. Oliinychenko, M. Papa, H. Petersen, J. Su, T. Song, J. Weil, N. Wang, F.S. Zhang, Z. Zhang, Phys. Rev. C 97, 034625 (2018)

    ADS  Google Scholar 

  69. Y.G. Ma, W.Q. Shen, J. Feng, Y.Q. Ma, Phys. Rev. C 48, R1492 (1993)

    ADS  Google Scholar 

  70. S. Voloshin, Y. Zhang, Z. Phys. C 70, 665 (1996)

    Google Scholar 

  71. S.A. Voloshin, Nucl. Phys. A 715, 379c (2003)

    ADS  Google Scholar 

  72. T.Z. Yan, Y.G. Ma, X.Z. Cai, J.G. Chen, D.Q. Fang, W. Guo, C.W. Ma, E.J. Ma, W.Q. Shen, W.D. Tian, K. Wang, Phys. Lett. B 638, 50 (2006)

    ADS  Google Scholar 

  73. A. Bonasera, L.P. Csernai, Phys. Rev. Lett. 59, 630 (1987)

    ADS  Google Scholar 

Download references

Acknowledgements

This work was supported in part by the National Natural Science Foundation of China under Contracts Nos. 11890714, 11421505, 11925502, 11975091, 11305239, 11220101005 11961141003 and 11935001, the Strategic Priority Research Program of the Chinese Academy of Sciences under Grant No. XDB34030200 and XDB16, the Youth Innovation Promotion Association CAS under Grant No. 2017309.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Y. G. Ma.

Additional information

Communicated by Ralf Rapp

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, S.S., Ma, Y.G., Cao, X.G. et al. Azimuthal anisotropy and multiplicities of hard photons and free nucleons in intermediate-energy heavy-ion collisions. Eur. Phys. J. A 56, 254 (2020). https://doi.org/10.1140/epja/s10050-020-00264-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epja/s10050-020-00264-z

Navigation