Advertisement

Quantitative analysis of the fusion cross sections using different microscopic nucleus-nucleus interactions

  • A. AdelEmail author
  • T. Alharbi
Regular Article - Theoretical Physics

Abstract.

The fusion cross sections for reactions involving medium and heavy nucleus-nucleus systems are investigated near and above the Coulomb barrier using the one-dimensional barrier penetration model. The microscopic nuclear interaction potential is computed by four methods, namely: the double-folding model based on a realistic density-dependent M3Y NN interaction with a finite-range exchange part, the Skyrme energy density functional in the semiclassical extended Thomas-Fermi approximation, the generalized Proximity potential, and the Akyüz-Winther interaction. The comparison between the calculated and the measured values of the fusion excitation functions indicates that the calculations of the DFM give quite satisfactory agreement with the experimental data, being much better than the other methods. New parameterized forms for the fusion barrier heights and positions are presented. Furthermore, the effects of deformation and orientation degrees of freedom on the distribution of the Coulomb barrier characteristics as well as the fusion cross sections are studied for the reactions 16 O + 70 Ge and 28 Si + 100 Mo. The calculated values of the total fusion cross sections are compared with coupled channel calculations using the code CCFULL and compared with the experimental data. Our results reveal that the inclusion of deformations and orientation degrees of freedom improves the comparison with the experimental data.

References

  1. 1.
    P.-G. Reinhard, A.S. Umar, P.D. Stevenson, J. Piekarewicz, V.E. Oberacker, J.A. Maruhn, Phys. Rev. C 93, 044618 (2016)ADSCrossRefGoogle Scholar
  2. 2.
    Tapan Rajbongshi, K. Kalita, S. Nath, J. Gehlot, Tathagata Banerjee, Ish Mukul, R. Dubey, N. Madhavan, C.J. Lin, A. Shamlath, P.V. Laveen, M. Shareef, Neeraj Kumar, P. Jisha, P. Sharma, Phys. Rev. C 93, 054622 (2016)ADSCrossRefGoogle Scholar
  3. 3.
    N. Rowley, K. Hagino, Phys. Rev. C 91, 044617 (2015)ADSCrossRefGoogle Scholar
  4. 4.
    A. Adel, V.A. Rachkov, A.V. Karpov, A.S. Denikin, M. Ismail, W.M. Seif, A.Y. Ellithi, Nucl. Phys. A 876, 119 (2012)ADSCrossRefGoogle Scholar
  5. 5.
    V.A. Rachkov, A. Adel, A.V. Karpov, A.S. Denikin, V.I. Zagrebaev, AIP Conf. Proc. 1491, 381 (2012)ADSCrossRefGoogle Scholar
  6. 6.
    M. Ismail, A. Adel, Phys. Rev. C 84, 034610 (2011)ADSCrossRefGoogle Scholar
  7. 7.
    M. Ismail, A. Adel, Nucl. Phys. A 859, 1 (2011)ADSCrossRefGoogle Scholar
  8. 8.
    Ishwar Dutt, Rajeev K. Puri, Phys. Rev. C 81, 044615 (2010)ADSCrossRefGoogle Scholar
  9. 9.
    A.M. Stefanini, F. Scarlassara, S. Beghini, G. Montagnoli, R. Silvestri, M. Trotta, B.R. Behera, L. Corradi, E. Fioretto, A. Gadea, Y.W. Wu, S. Szilner, H.Q. Zhang, Z.H. Liu, M. Ruan, F. Yang, N. Rowley, Phys. Rev. C 73, 034606 (2006)ADSCrossRefGoogle Scholar
  10. 10.
    H. Timmers, D. Ackermann, S. Beghini, L. Corradi, J.H. He, G. Montagnoli, F. Scarlassara, A.M. Stefanini, N. Rowley, Nucl. Phys. A 633, 421 (1998)ADSCrossRefGoogle Scholar
  11. 11.
    V.Yu. Denisov, S. Hofmann, Phys. Rev. C 61, 034606 (2000)ADSCrossRefGoogle Scholar
  12. 12.
    K.P. Santhosh, V. Bobby Jose, Antony Joseph, K.M. Varier, Nucl. Phys. A 817, 35 (2009)ADSCrossRefGoogle Scholar
  13. 13.
    K.P. Santhosh, V. Bobby Jose, Nucl. Phys. A 922, 191 (2014)ADSCrossRefGoogle Scholar
  14. 14.
    G.R. Satchler, W.G. Love, Phys. Rep. 55, 183 (1979)ADSCrossRefGoogle Scholar
  15. 15.
    I.I. Gontchar, D.J. Hinde, M. Dasgupta, J.O. Newton, Phys. Rev. C 69, 024610 (2004)ADSCrossRefGoogle Scholar
  16. 16.
    X. Chen, Y.W. Lui, H.L. Clark, Y. Tokimoto, D.H. Youngblood, Phys. Rev. C 76, 054606 (2007)ADSCrossRefGoogle Scholar
  17. 17.
    D. Gupta, D.N. Basu, Nucl. Phys. A 748, 402 (2005)ADSCrossRefGoogle Scholar
  18. 18.
    D.N. Basu, P. Roy Chowdhury, C. Samanta, Phys. Rev. C 72, 051601(R) (2005)ADSCrossRefGoogle Scholar
  19. 19.
    P. Roy Chowdhury, C. Samanta, D.N. Basu, Phys. Rev. C 73, 014612 (2006)ADSCrossRefGoogle Scholar
  20. 20.
    M. Ismail, A.Y. Ellithi, M.M. Botros, A. Adel, Phys. Rev. C 81, 024602 (2010)ADSCrossRefGoogle Scholar
  21. 21.
    J. Blocki, J. Randrup, W.J. Swiatecki, C.F. Tsang, Ann. Phys. (N.Y.) 105, 427 (1977)ADSCrossRefGoogle Scholar
  22. 22.
    G.L. Zhang, W.W. Qu, M.F. Guo, H.Q. Zhang, R. Wolski, J.Q. Qian, Eur. Phys. J. A 52, 39 (2016)ADSCrossRefGoogle Scholar
  23. 23.
    O.N. Ghodsi, F. Torabi, Phys. Rev. C 92, 064612 (2015)ADSCrossRefGoogle Scholar
  24. 24.
    O. Akyüz, A. Winther, in Proceedings of the Enrico Fermi International School of Physics 1979, edited by R.A. Broglia, C.H. Dasso, R. Ricci (North-Holland, Amsterdam, 1981)Google Scholar
  25. 25.
    A. Winther, Nucl. Phys. A 594, 203 (1995)ADSCrossRefGoogle Scholar
  26. 26.
    C.Y. Wong, Phys. Rev. Lett. 31, 766 (1973)ADSCrossRefGoogle Scholar
  27. 27.
    K. Hagino, N. Rowley, A.T. Kruppa, Comput. Phys. Commun. 123, 143 (1999)ADSCrossRefGoogle Scholar
  28. 28.
    V.I. Zagrebaev, V.V. Samarin, Phys. At. Nucl. 67, 1462 (2004)CrossRefGoogle Scholar
  29. 29.
    D.L. Hill, J.A. Wheeler, Phys. Rev. 89, 1102 (1953)ADSCrossRefGoogle Scholar
  30. 30.
    A.B. Balantekin, N. Takigaw, Rev. Mod. Phys. 70, 77 (1998)ADSCrossRefGoogle Scholar
  31. 31.
    S. Landowne, S.C. Pieper, Phys. Rev. C 29, 1352 (1984)ADSCrossRefGoogle Scholar
  32. 32.
    K. Hagino, N. Takigawa, A.B. Balantekin, J.R. Bennett, Phys. Rev. C 52, 286 (1995)ADSCrossRefGoogle Scholar
  33. 33.
    Dao T. Khoa, G.R. Satchler, Nucl. Phys. A 668, 3 (2000)ADSCrossRefGoogle Scholar
  34. 34.
    Dao T. Khoa, Phys. Rev. C 63, 034007 (2001)ADSCrossRefGoogle Scholar
  35. 35.
    S. Misicu, W. Greiner, Phys. Rev. C 66, 044606 (2002)ADSCrossRefGoogle Scholar
  36. 36.
    Raj K Gupta, Dalip Singh, Raj Kumar, Walter Greiner, J. Phys. G 36, 075104 (2009)ADSCrossRefGoogle Scholar
  37. 37.
  38. 38.
    B. Sinha, Phys. Rep. 20, 1 (1975)ADSCrossRefGoogle Scholar
  39. 39.
    Dao T. Khoa, G.R. Satchler, W. von Oertzen, Phys. Rev. C 56, 954 (1997)ADSCrossRefGoogle Scholar
  40. 40.
    Mark J. Rhoades-Brown, Volker E. Oberacker, Martin Seiwert, Walter Greiner, Z. Phys. A 310, 287 (1983)ADSCrossRefGoogle Scholar
  41. 41.
    B. Grammoticos, A. Voros, Ann. Phys. 123, 359 (1979)ADSMathSciNetCrossRefGoogle Scholar
  42. 42.
    M. Beiner, H. Flocard, Nguyen Van Giai, P. Quentin, Nucl. Phys. A 238, 29 (1975)ADSCrossRefGoogle Scholar
  43. 43.
    E. Chabanat, P. Bonche, P. Haensel et al., Nucl. Phys. A 635, 231 (1998)ADSCrossRefGoogle Scholar
  44. 44.
    K.P. Santhosh, B. Priyanka, Phys. Rev. C 87, 064611 (2013)ADSCrossRefGoogle Scholar
  45. 45.
    J. Blocki, W.J. Swiatecki, Ann. Phys. (N.Y.) 132, 53 (1981)ADSCrossRefGoogle Scholar
  46. 46.
    I.I. Gontchar, M. Dasgupta, D.J. Hinde, R.D. Butt, A. Mukherjee, Phys. Rev. C 65, 034610 (2002)ADSCrossRefGoogle Scholar
  47. 47.
    N. Keeley, J.S. Lilley, J.X. Wei et al., Nucl. Phys. A 628, 1 (1998)ADSCrossRefGoogle Scholar
  48. 48.
    J.O. Newton, C.R. Morton, M. Dasgupta et al., Phys. Rev. C 64, 064608 (2001)ADSCrossRefGoogle Scholar
  49. 49.
    C.R. Morton, M. Dasgupta, D.J. Hinde et al., Phys. Rev. Lett. 72, 4074 (1994)ADSCrossRefGoogle Scholar
  50. 50.
    C.R. Morton, A.C. Berriman, M. Dasgupta et al., Phys. Rev. C 60, 044608 (1999)ADSCrossRefGoogle Scholar
  51. 51.
    J. Khuyagbaatar, K. Nishio, S. Hofmann et al., Phys. Rev. C 86, 064602 (2012)ADSCrossRefGoogle Scholar
  52. 52.
    A.M. Stefanini, G. Montagnoli, R. Silvestri et al., Phys. Lett. B 679, 95 (2009)ADSCrossRefGoogle Scholar
  53. 53.
    R.K. Gupta, M. Balasubramaniam, R. Kumar, N. Singh, M. Manhas, W. Greiner, J. Phys. G: Nucl. Part. Phys. 31, 631 (2005)ADSCrossRefGoogle Scholar
  54. 54.
    S. Raman, C.W. Nestor Jr., P. Tikkanen, At. Data Nucl. Data Tables 78, 1 (2001)ADSCrossRefGoogle Scholar
  55. 55.
    Ö. Akyüz, . Winther, R.A. Broglia, R.A. Ricci (Editors), Nuclear Structure and Heavy-Ion Physics, in Proceedings of the International School of Physics ``Enrico Fermi'', Course LXXVII, Varenna, (North-Holland, Amsterdam, 1981)Google Scholar
  56. 56.
    E.F. Aguilera, J.J. Kolata, R.J. Tighe, Phys. Rev. C 52, 3103 (1995)ADSCrossRefGoogle Scholar
  57. 57.
    V.Yu. Denisov, N.A. Pilipenko, Phys. Rev. C 76, 014602 (2007)ADSCrossRefGoogle Scholar
  58. 58.
    D. Ackermann, F. Scarlassara, P. Bednarczyk et al., Nucl. Phys. A 583, 129 (1995)ADSCrossRefGoogle Scholar
  59. 59.
    S. Gary, C. Volant, Phys. Rev. C 25, 1877 (1982)ADSCrossRefGoogle Scholar
  60. 60.
    C.L. Jiang, A.M. Stefanini, H. Esbensen et al., Phys. Rev. Lett. 113, 022701 (2014)ADSCrossRefGoogle Scholar
  61. 61.
    C.L. Jiang, K.E. Rehm, H. Esbensen et al., Phys. Rev. C 81, 024611 (2010)ADSCrossRefGoogle Scholar
  62. 62.
    E.F. Aguilera, J.J. Vega, J.J. Kolata et al., Phys. Rev. C 41, 910 (1990)ADSCrossRefGoogle Scholar
  63. 63.
    Y.X. Watanabe, A. Yoshida, T. Fukuda et al., Eur. Phys. J. A 10, 373 (2001)ADSCrossRefGoogle Scholar
  64. 64.
    Y. Nagashima, J. Schimizu, T. Nakagava et al., Phys. Rev. C 33, 176 (1986)ADSCrossRefGoogle Scholar
  65. 65.
    M. Dasgupta, A. Navin, Y.K. Agarwal et al., Nucl. Phys. A 539, 351 (1992)ADSCrossRefGoogle Scholar
  66. 66.
    R.D. Butt, D.J. Hinde, M. Dasgupta et al., Phys. Rev. C 66, 044601 (2002)ADSCrossRefGoogle Scholar
  67. 67.
    A. Morsad, J.J. Kolata, R.J. Tighe et al., Phys. Rev. C 41, 988 (1990)ADSCrossRefGoogle Scholar
  68. 68.
    E. Bozek, D.M. De Castro-Rizzo, S. Cavallaro et al., Nucl. Phys. A 451, 171 (1986)ADSCrossRefGoogle Scholar
  69. 69.
    G.M. Berkowitz, P. Braun-Munzinger, J.S. Karp et al., Phys. Rev. C 28, 667 (1983)ADSCrossRefGoogle Scholar
  70. 70.
    Vandana Tripathi, Lagy T. Baby, J.J. Das et al., Phys. Rev. C 65, 014614 (2001)CrossRefGoogle Scholar
  71. 71.
    B.G. Glagola, B.B. Back, R.R. Betts, Phys. Rev. C 29, 486 (1984)ADSCrossRefGoogle Scholar
  72. 72.
    W. Reisdorf, F.P. Hessberger, K.D. Hildenbrand et al., Nucl. Phys. A 438, 212 (1985)ADSCrossRefGoogle Scholar
  73. 73.
    R.G. Stokstad, W. Reisdorf, K.D. Hildenbrand et al., Z. Phys. 295, 269 (1980)ADSCrossRefGoogle Scholar
  74. 74.
    J.D. Bierman, P. Chan, J.F. Liang et al., Phys. Rev. C 54, 3068 (1996)ADSCrossRefGoogle Scholar
  75. 75.
    A.M. Stefanini, M. Trotta, L. Corradi et al., Phys. Rev. C 65, 034609 (2002)ADSCrossRefGoogle Scholar

Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Physics Department, Faculty of ScienceCairo UniversityGizaEgypt
  2. 2.Physics Department, College of ScienceMajmaah UniversityAl-ZulfiSaudi Arabia

Personalised recommendations