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Emission of High-Energy Protons and Photons in Heavy-Ion Collisions Treated on the Basis of a Hydrodynamic Approach with a Nonequilibrium Equation of State

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Abstract

A hydrodynamic approach involving a nonequilibrium equation of state is used in describing heavy-ion collisions at medium and intermediate energies. The double differential cross sections for proton and photon emission in collisions of various nuclei are calculated in developing this approach with allowance for nuclear-viscosity effects and amendments introduced by the microcanonical distribution. The results agree everywhere, including the cumulative region of the spectrum, with available experimental data on the emission of high-energy particles. The approach in question permits reproducing high-momentum distributions of protons from the reaction \({}^{12}\textrm{C}+\,^{9}\textrm{Be}\to p+X\) at the \({}^{12}\)C ion energies of 300, 600, 950, and 2000 MeV per nucleon and the energy spectra of hard photons from the reaction \({}^{12}\textrm{C}+\,^{9}\textrm{Be}\to\gamma+X\) at the \({}^{12}\)C ion energies of 2.0 and 3.2 GeV per nucleon.

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REFERENCES

  1. H. Stöcker and W. Greiner, Phys. Rep. 137, 277 (1986).

    Article  ADS  Google Scholar 

  2. A. V. Merdeev, L. M. Satarov, and I. N. Mishustin, Phys. Rev. C 84, 014907 (2011).

    Article  ADS  Google Scholar 

  3. I. N. Mishustin, V. N. Russkikh, and L. M. Satarov, Sov. J. Nucl. Phys. 54, 260 (1991).

    Google Scholar 

  4. Yu. B. Ivanov, V. N. Russkikh, and V. D. Toneev, Phys. Rev. C 73, 044904 (2006).

    Article  ADS  Google Scholar 

  5. A. S. Khvorostukhin and V. D. Toneev, Phys. Part. Nucl. Lett. 14, 9 (2017).

    Article  Google Scholar 

  6. A. S. Khvorostukhin and V. D. Toneev, Phys. At. Nucl. 80, 285 (2017).

    Article  Google Scholar 

  7. A. T. D’yachenko, Phys. At. Nucl. 57, 1930 (1994).

    Google Scholar 

  8. A. T. D’yachenko and K. A. Gridnev, Bull. Russ. Acad. Sci.: Phys. 77, 857 (2013).

    Article  Google Scholar 

  9. A. T. D’yachenko, K. A. Gridnev, and W. Greiner, J. Phys. G 40, 085101 (2013).

    Article  ADS  Google Scholar 

  10. A. T. D’yachenko and I. A. Mitropolsky, Bull. Russ. Acad. Sci.: Phys. 80, 916 (2016).

    Article  Google Scholar 

  11. A. T. D’yachenko and I. A. Mitropolsky, Bull. Russ. Acad. Sci.: Phys. 81, 1521 (2017).

    Article  Google Scholar 

  12. A. T. D’yachenko and I. A. Mitropolsky, in In Memory of K. A. Gridnev. On the Occasion of the 80th Birthday, Collection of Articles (Kurchatov. Inst., PIYaF, Gatchina, 2018), p. 63 [in Russian].

  13. P. Bonche, S. Koonin, and J. W. Negele, Phys. Rev. C 13, 1226 (1976).

    Article  ADS  Google Scholar 

  14. S. I. Gogolev, M. I. Gostkin, S. I. Merzlyakov, K. O. Oganesyan, E. A. Pasyuk, S. Yu. Porokhovay, R. Woski, M. P. Ivanov, I. P. Kuznetsov, Yu. Ts. Oganessian, Yu. E. Penionzhkevich, and Yu. G. Sobolev, in Proceedings of the International School–Seminar on Heavy Ion Physics, Dubna, 1993, Ed. by Yu. Ts. Oganessian et al., E7-93-274 (JINR, Dubna, 1993), Vol. 2, p. 66.

  15. A. T. D’yachenko and I. A. Mitropolsky, EPJ Web Conf. 204, 03018 (2019).

  16. B. M. Abramov, P. N. Alekseev, Yu. A. Borodin, S. A. Bulychjov, I. A. Dukhovskoy, A. P. Krutenkova, V. V. Kulikov, M. A. Martemianov, M. A. Matsyuk, S. G. Mashnik, E. N. Turdakina, and A. I. Khanov, Phys. At. Nucl. 78, 373 (2015).

    Article  Google Scholar 

  17. I. G. Alekseev, A. A. Golubev, V. S. Goryachev, G. B. Dzyubenko, A. G. Dolgolenko, N. M. Zhigareva, S. M. Kiselev, K. R. Mikhaylov, E. A. Morozova, P. A. Polozov, M. S. Prokudin, D. V. Romanov, D. N. Svirida, A. V. Stavinsky, V. L. Stolin, and G. B. Sharkov, Phys. At. Nucl. 78, 936 (2015).

    Article  Google Scholar 

  18. G. D. Westfall, J. Gosset, P. J. Johansen, A. M. Poskanzer, W. G. Meyer, H. H. Gutbrod, A. Sandoval, and R. Stock, Phys. Rev. Lett. 37, 1202 (1976).

    Article  ADS  Google Scholar 

  19. K. K. Gudima, and V. D. Toneev, Sov. J. Nucl. Phys. 42, 409 (1985).

    Google Scholar 

  20. G. Bertsch, Z. Phys. A 289, 103 (1978).

    Article  ADS  Google Scholar 

  21. V. M. Kolomiets, in Collective Nuclear Dynamics, Ed. R. V. Jolos (Nauka, Leningrad, 1990), p. 67 [in Russian].

    Google Scholar 

  22. K. Huang, Statistical Mechanics (Wiley, New York, 1987).

    MATH  Google Scholar 

  23. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 5: Statistical Physics (Pergamon, Oxford, 1980; Nauka, Moscow, 1976).

  24. A. I. Anselm, Fundamentals of Statistical Physics and Thermodynamics (Nauka, Moscow, 1973) [in Russian].

    Google Scholar 

  25. CHIC Collab. (V. V. Avdeichikov, A. I. Bogdanov, O. V. Lozhkin, Yu. A. Murin, M. Berg, I. Carlen, R. Eimer, B. Jakobsson, B. Noren, J. P. Bondorf, K. Sneppen, J. Nyberg, L. Westerberg, M. Guttormsen, E. Olberg, T. F. Thorsteinsen, and G. Lovhoiden), in Proceedings of the International School–Seminar on Heavy Ion, Physics, Dubna, 1993, Ed. by Yu. Ts. Oganessian et al., E7-93-274 (JINR, Dubna, 1993), Vol. 2, p. 238.

  26. A. V. Dementev and N. M. Sobolevsky, Nucl. Tracks Radiat. Meas. 30, 553 (1999).

    Article  Google Scholar 

  27. S. G. Mashnik, K. K. Gudima, R. E. Prael, A. J. Sierk, M. I. Baznat, and N. V. Mokhov, LA-UR-08-2931 (Los Alamos, 2008); arXiv: 0805.0751 [nucl-th].

  28. T. Koi, D. H. Wright, G. Folger, V. Ivanchenko, M. Kossov, N. Starkov, A. Heikkinen, P. Truscott, F. Lei, and H. P. Wellisch, AIP Conf. Proc. 896, 21 (2007).

    Article  ADS  Google Scholar 

  29. A. T. D’yachenko and V. N. Baryshnikov, in Proceedings of the Baldin ISHEPP XIX Conference, Dubna, 2008, Ed. by A. N. Sissakian et al. (JINR, Dubna, 2008), Vol. 2, p. 234.

  30. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 2: The Classical Theory of Fields (Nauka, Moscow, 1976; Pergamon, Oxford, 1975).

  31. V. I. Goldansky, Yu. P. Nikitin, and I. L. Rozental, Kinematic Methods in High-Energy Physics (Nauka, Moscow, 1987; Routledge, 1989).

  32. M. A. Braun and V. V. Vechernin, Sov. J. Nucl. Phys. 43, 1016 (1986).

    Google Scholar 

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ACKNOWLEDGMENTS

We are grateful to V.V. Vechernin, V.N. Kovalenko, V.Yu. Petrov, M.B. Zhalov, and A.V. Stavinsky for stimulating discussions. Special thanks are due to V.V. Kulikov for presenting at our disposal the experimental data reported in [16].

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Authors and Affiliations

  1. Petersburg State Transport University, St. Petersburg, Russia

    A. T. D’yachenko

  2. Petersburg Nuclear Physics Institute, National Research Center Kurchatov Institute, Gatchina, Russia

    A. T. D’yachenko & I. A. Mitropolsky

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  1. A. T. D’yachenko
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  2. I. A. Mitropolsky
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Correspondence to A. T. D’yachenko.

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D’yachenko, A.T., Mitropolsky, I.A. Emission of High-Energy Protons and Photons in Heavy-Ion Collisions Treated on the Basis of a Hydrodynamic Approach with a Nonequilibrium Equation of State. Phys. Atom. Nuclei 83, 558–566 (2020). https://doi.org/10.1134/S1063778820040080

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