Skip to main content
SpringerLink
Log in

Theoretical study of fusion reactions 32S + 94,96Zr and 40Ca + 94,96Zr and quadrupole deformation of 94Zr

  • Article
  • Published:
Science China Physics, Mechanics & Astronomy Aims and scope Submit manuscript

Abstract

The dynamic coupling effects on fusion cross sections for reactions 32S + 94,96Zr and 40Ca + 94,96Zr are studied with the universal fusion function formalism and an empirical coupled channel (ECC) model. An examination of the reduced fusion functions shows that the total effect of couplings to inelastic excitations and neutron transfer channels on fusion in 32S + 94Zr (40Ca + 94Zr) is almost the same as that in 32S + 96Zr (40Ca + 96Zr). The enhancements of the fusion cross section at sub-barrier energies due to inelastic channel coupling and neutron transfer channel coupling are evaluated separately by using the ECC model. The results show that effect of couplings to inelastic excitations channels in the reactions with 94Zr as target should be similar as that in the reactions with 96Zr as target. This implies that the quadrupole deformation parameters β 2 of 94Zr and 96Zr should be similar to each other. However, β 2’s predicted from the finite-range droplet model, which are used in the ECC model, are quite different. Experiments on 48Ca + 94Zr or 36S + 94Zr are suggested to solve the puzzling issue concerning β 2 for 94Zr.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. B. Balantekin, and N. Takigawa, Rev. Mod. Phys. 70, 77 (1998).

    Article  ADS  Google Scholar 

  2. M. Dasgupta, D. J. Hinde, N. Rowley, and A. M. Stefanini, Annu. Rev. Nucl. Part. Sci. 48, 401 (1998).

    Article  ADS  Google Scholar 

  3. M. S. Hussein, L. F. Canto, P. R. S. Gomes, and R. Donangelo, Phys. Rep. 424, 1 (2006).

    Article  ADS  MathSciNet  Google Scholar 

  4. B. B. Back, H. Esbensen, C. L. Jiang, and K. E. Rehm, Rev. Mod. Phys. 86, 317 (2014).

    Article  ADS  Google Scholar 

  5. U. G. Meißner, Sci. Bull. 60, 43 (2014).

    Article  Google Scholar 

  6. L. F. Canto, P. R. S. Gomes, R. Donangelo, J. Lubian, and M. S. Hussein, Phys. Rep. 596: 1 (2015).

    Article  ADS  MathSciNet  Google Scholar 

  7. C. B. Fu, J. Bao, L. M. Chen, J. J. He, L. Hou, L. Li, Y. F. Li, Y. T. Li, G. Q. Liao, Y. Rhee, Y. Sun, S. W. Xu, D. W. Yuan, X. P. Zhang, G. Zhao, J. R. Zhao, B. J. Zhu, J. Q. Zhu, and J. Zhang, Sci. Bull. 60, 1211 (2015).

    Article  Google Scholar 

  8. G. G. Adamian, N. V. Antonenko, and W. Scheid, Nucl. Phys. A 618, 176 (1997).

    Article  ADS  Google Scholar 

  9. G. G. Adamian, N. V. Antonenko, W. Scheid, and V. V. Volkov, Nucl. Phys. A 633, 409 (1998).

    Article  ADS  Google Scholar 

  10. G. G. Adamian, N. V. Antonenko, and Y. M. Tchuvil’sky, Phys. Lett. B 451, 289 (1999).

    Article  ADS  Google Scholar 

  11. G. N. Knyazheva, E. M. Kozulin, R. N. Sagaidak, A. Y. Chizhov, M. G. Itkis, N. A. Kondratiev, V. M. Voskressensky, A. M. Stefanini, B. R. Behera, L. Corradi, E. Fioretto, A. Gadea, A. Latina, S. Szilner, M. Trotta, S. Beghini, G. Montagnoli, F. Scarlassara, F. Haas, N. Rowley, P. R. S. Gomes, and A. S. de Toledo, Phys. Rev. C 75, 064602 (2007).

    Article  ADS  Google Scholar 

  12. N. Wang, E. G. Zhao, W. Scheid, and S. G. Zhou, Phys. Rev. C 85, 041601(R) (2012).

    Article  ADS  Google Scholar 

  13. N. Wang, E. Zhao, and S. G. Zhou, J. Phys.-Conf. Ser. 515, 012022 (2014).

    Article  ADS  Google Scholar 

  14. J. Zhang, C. Wang, and Z. Ren, Nucl. Phys. A 909, 36 (2013).

    Article  ADS  Google Scholar 

  15. J. J. Shen, and C. W. Shen, Sci. China-Phys. Mech. Astron. 57, 453 (2014).

    Article  ADS  Google Scholar 

  16. X. H. Fan, J. M. Dong, and W. Zuo, Sci. China-Phys. Mech. Astron. 58, 062002 (2015).

    Google Scholar 

  17. Q. H. Mo, M. Liu, L. C. Cheng, and N. Wang, Sci. China-Phys. Mech. Astron. 58, 082001 (2015).

    Article  ADS  Google Scholar 

  18. C. L. Jiang, H. Esbensen, K. E. Rehm, B. B. Back, R. V. Janssens, J. A. Caggiano, P. Collon, J. Greene, A. M. Heinz, D. J. Henderson, I. Nishinaka, T. O. Pennington, and D. Seweryniak, Phys. Rev. Lett. 89, 052701 (2002).

    Article  ADS  Google Scholar 

  19. S. Misicu, H. Esbensen. Phys. Rev. Lett. 96, 112701 (2006).

    Article  ADS  Google Scholar 

  20. M. Dasgupta, D. J. Hinde, A. Diaz-Torres, B. Bouriquet, C. I. Low, G. J. Milburn, and J. O. Newton, Phys. Rev. Lett. 99, 192701 (2007).

    Article  ADS  Google Scholar 

  21. A. Diaz-Torres, D. Hinde, M. Dasgupta, G. J. Milburn, and J. A. Tostevin, Phys. Rev. C 78, 064604 (2008).

    Article  ADS  Google Scholar 

  22. T. Ichikawa, K. Hagino, and A. Iwamoto, Phys. Rev. Lett. 103, 202701 (2009).

    Article  ADS  Google Scholar 

  23. V. Y. Denisov, Phys. Rev. C 89, 044604 (2014).

    Article  ADS  Google Scholar 

  24. P. R. S. Gomes, R. Linares, J. Lubian, C. C. Lopes, E. N. Cardozo, B. H. F. Pereira, and I. Padron, Phys. Rev. C 84, 014615 (2011).

    Article  ADS  Google Scholar 

  25. V. V. Sargsyan, G. G. Adamian, N. V. Antonenko, W. Scheid, and H. Q. Zhang, Phys. Rev. C 86, 054610 (2012).

    Article  ADS  Google Scholar 

  26. L. R. Gasques, D. J. Hinde, M. Dasgupta, A. Mukherjee, and R. G. Thomas, Phys. Rev. C 79, 034605 (2009).

    Article  ADS  Google Scholar 

  27. M. Dasgupta, L. R. Gasques, D. H. Luong, R. du Rietz, R. Rafiei, D. J. Hinde, C. J. Lin, M. Evers, and A. Diaz-Torres, Nucl. Phys. A 834, 147c (2010).

    Article  ADS  Google Scholar 

  28. M. Beckerman, M. Salomaa, A. Sperduto, H. Enge, J. Ball, A. DiRienzo, S. Gazes, Y. Chen, J. D. Molitoris, and N. Mao, Phys. Rev. Lett. 45, 1472 (1980).

    Article  ADS  Google Scholar 

  29. R. A. Broglia, C. H. Dasso, S. Landowne, and A. Winther, Phys. Rev. C 27, 2433 (1983).

    Article  ADS  Google Scholar 

  30. R. A. Broglia, C. H. Dasso, S. Landowne, and G. Pollarolo, Phys. Lett. B 133, 34 (1983).

    Article  ADS  Google Scholar 

  31. P. H. Stelson, H. J. Kim, M. Beckerman, D. Shapira, and R. L. Robinson, Phys. Rev. C 41, 1584 (1990).

    Article  ADS  Google Scholar 

  32. C. H. Dasso, S. Landowne, and A. Winther, Nucl. Phys. A 405, 381 (1983).

    Article  ADS  Google Scholar 

  33. C. H. Dasso, S. Landowne, and A. Winther, Nucl. Phys. A 407, 221 (1983).

    Article  ADS  Google Scholar 

  34. G. L. Zhang, X. X. Liu, and C. J. Lin, Phys. Rev. C 89, 054602 (2014).

    Article  ADS  Google Scholar 

  35. B. Wang, W. J. Zhao, P. R. S. Gomes, E. G. Zhao, and S. G. Zhou, Phys. Rev. C 90, 034612 (2014).

    Article  ADS  Google Scholar 

  36. R. Pengo, D. Evers, K. E. G. Löbner, U. Quade, K. Rudolph, S. J. Skorka, and I. Weidl, Nucl. Phys. A 411, 255 (1983).

    Article  ADS  Google Scholar 

  37. H. A. Aljuwair, R. J. Ledoux, M. Beckerman, S. B. Gazes, J. Wiggins, E. R. Cosman, R. R. Betts, S. Saini, and O. Hansen, Phys. Rev. C 30, 1223 (1984).

    Article  ADS  Google Scholar 

  38. H. Timmers, D. Ackermann, S. Beghini, L. Corradi, J. H. He, and G. Montagnoli, Nucl. Phys. A 633, 421 (1998).

    Article  ADS  Google Scholar 

  39. M. Trotta, S. Szilner, F. Scarlassara, N. Rowley, G. Montagnoli, A. Gadea, E. Fioretto, L. Corradi, S. Beghini, B. R. Behera, and A. M. Stefanini, Phys. Rev. C 76, 014610 (2007).

    Article  ADS  Google Scholar 

  40. H. Q. Zhang, C. J. Lin, F. Yang, H. M. Jia, X. Xu, and Z. D. Wu, Phys. Rev. C 82, 054609 (2010).

    Article  ADS  Google Scholar 

  41. H. M. Jia, C. J. Lin, F. Yang, X. X. Xu, H. Q. Zhang, Z. H. Liu, Z. D. Wu, L. Yang, N. R. Ma, P. F. Bao, and L. J. Sun, Phys. Rev. C 89, 064605 (2014).

    Article  ADS  Google Scholar 

  42. P. Jacobs, Z. Fraenkel, G. Mamane, and I. Tserruya, Phys. Lett. B 175, 271 (1986).

    Article  ADS  Google Scholar 

  43. H. M. Jia, C. J. Lin, F. Yang, X. X. Xu, H. Q. Zhang, Z. H. Liu, L. Yang, S. T. Zhang, P. F. Bao, and L. J. Sun, Phys. Rev. C 86, 044621 (2012).

    Article  ADS  Google Scholar 

  44. V. I. Zagrebaev, Phys. Rev. C 67, 061601(R) (2003).

    Article  ADS  Google Scholar 

  45. V. V. Sargsyan, G. G. Adamian, N. V. Antonenko, W. Scheid, and H. Q. Zhang, Phys. Rev. C 86, 014602 (2012).

    Article  ADS  Google Scholar 

  46. V. V. Sargsyan, G. Scamps, G. G. Adamian, N. V. Antonenko, and D. Lacroix, Phys. Rev. C 88, 064601 (2013).

    Article  ADS  Google Scholar 

  47. V. V. Sargsyan, G. G. Adamian, N. V. Antonenko, W. Scheid, and A. H. Q. Zhang, Phys. Rev. C 91, 014613 (2015).

    Article  ADS  Google Scholar 

  48. K. Hagino, N. Rowley, and A. T. Kruppa, Comput. Phys. Commun. 123, 143 (1999).

    Article  ADS  Google Scholar 

  49. N. Wang, Z. Li, and X. Wu, Phys. Rev. C 65, 064608 (2002).

    Article  ADS  Google Scholar 

  50. N. Wang, K. Zhao, and Z. Li, Phys. Rev. C 90, 054610 (2014).

    Article  ADS  Google Scholar 

  51. N. Wang, Z. Li, X. Wu, J. Tian, Y. Zhang, and M. Liu, Phys. Rev. C 69, 034608 (2004).

    Article  ADS  Google Scholar 

  52. K. Wen, F. Sakata, Z. X. Li, X. Z. Wu, Y. X. Zhang, and S. G. Zhou, Phys. Rev. Lett. 111, 012501 (2013).

    Article  ADS  Google Scholar 

  53. K. Wen, F. Sakata, Z. X. Li, X. Z. Wu, Y. X. Zhang, and S. G. Zhou, Phys. Rev. C 90, 054613 (2014).

    Article  ADS  Google Scholar 

  54. N. Wang, K. Zhao, and Z. X. Li, Sci. China-Phys. Mech. Astron. 58, 112001 (2015).

    Article  Google Scholar 

  55. A. S. Umar, and V. E. Oberacker, Phys. Rev. C 74, 021601(R) (2006).

    Article  ADS  Google Scholar 

  56. A. S. Umar, V. E. Oberacker, J. A. Maruhn, and P.-G. Reinhard, Phys. Rev. C 85, 017602 (2012).

    Article  ADS  Google Scholar 

  57. R. Keser, A. S. Umar, and V. E. Oberacker, Phys. Rev. C 85, 044606 (2012).

    Article  ADS  Google Scholar 

  58. L. Guo, J. A. Maruhn, and P. G. Reinhard, Phys. Rev. C, 76, 014601 (2007).

    Article  ADS  Google Scholar 

  59. L. Guo, J. A. Maruhn, P. G. Reinhard, and Y. Hashimoto, Phys. Rev. C 77, 041301(R) (2008).

    Article  ADS  Google Scholar 

  60. G. F. Dai, L. Guo, E. G. Zhao, and S. G. Zhou, Sci. China-Phys. Mech. Astron. 57, 1618 (2014).

    Article  ADS  Google Scholar 

  61. G. F. Dai, L. Guo, E. G. Zhao, and S. G. Zhou, Phys. Rev. C 90, 044609 (2014).

    Article  ADS  Google Scholar 

  62. B. Wang, K. Wen, W. J. Zhao, E. G. Zhao, and S. G. Zhou, arXiv:1504.00756.

  63. B. Wang, W. J. Zhao, A. Diaz-Torres, E. G. Zhao, and S. G. Zhou, Phys. Rev. C 93, 014615 (2016).

    Article  ADS  Google Scholar 

  64. D. L. Hill, and J. A. Wheeler, Phys. Rev. 89, 1102 (1953).

    Article  ADS  Google Scholar 

  65. L. L. Li, S. G. Zhou, E. G. Zhao, and W. Scheid, Int. J. Mod. Phys. E 19, 359 (2010).

    Article  ADS  Google Scholar 

  66. P. Möller, J. R. Nix, W. D. Myers, and W. J. Swiatecki, At. Data Nucl. Data Tables 59, 185 (1995).

    Article  ADS  Google Scholar 

  67. L. F. Cantol, P. R. S. Gomes, J. Lubian, L. C. Chamon, and E. Crema, J. Phys. G-Nucl. Part. Phys. 36, 015109 (2009).

    Article  ADS  Google Scholar 

  68. L. F. Canto, P. R. S. Gomes, J. Lubian, L. C. Chamon, and E. Crema, Nucl. Phys. A 821, 51 (2009).

    Article  ADS  Google Scholar 

  69. 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, and N. Rowley, Phys. Rev. C 73, 034606 (2006).

    Article  ADS  Google Scholar 

  70. M. A. C. Ribeiro, L. C. Chamon, D. Pereira, M. S. Hussein, and D. Galetti, Phys. Rev. Lett. 78, 3270 (1997).

    Article  ADS  Google Scholar 

  71. L. C. Chamon, D. Pereira, M. S. Hussein, M. A. C. Ribeiro, and D. Galetti, Phys. Rev. Lett. 79, 5218 (1997).

    Article  ADS  Google Scholar 

  72. L. C. Chamon, B. V. Carlson, L. R. Gasques, D. Pereira, C. De Conti, and M. S. G. Alvares, Phys. Rev. C 66, 014610 (2002).

    Article  ADS  Google Scholar 

  73. C. Y. Wong, Phys. Rev. Lett. 31, 766 (1973).

    Article  ADS  Google Scholar 

  74. S. Raman, C. W. Nestor, and P. Tikkanen, At. Data Nucl. Data Tables 78, 1 (2001).

    Article  ADS  Google Scholar 

  75. M. Bhuyan, Phys. Rev. C 92, 034323 (2015).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Zhengzhou University, Zhengzhou, 450001, China

    Bing Wang & WeiJuan Zhao

  2. State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, China

    EnGuang Zhao & ShanGui Zhou

  3. Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou, 730000, China

    EnGuang Zhao & ShanGui Zhou

Authors
  1. Bing Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. WeiJuan Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. EnGuang Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. ShanGui Zhou
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to ShanGui Zhou.

Additional information

Contributed by ShanGui Zhou (Associate Editor)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, B., Zhao, W., Zhao, E. et al. Theoretical study of fusion reactions 32S + 94,96Zr and 40Ca + 94,96Zr and quadrupole deformation of 94Zr. Sci. China Phys. Mech. Astron. 59, 642002 (2016). https://doi.org/10.1007/s11433-016-5781-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11433-016-5781-0

Keywords

Search

Navigation