Skip to main content
Log in

Effects of deformation, pairing and tensor correlation on the evolution of bubble structure within the Skyrme-Hartree-Fock method

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

Abstract.

We study the effects of deformation, tensor and pairing correlation on the evolution of bubble structure in 46Ar, 22O and Cl isotopes using a deformed Skyrme-Hartree-Fock model with BCS and Lipkin-Nogami number projection approximation. The parameter SLy5 of the Skyrme energy functionals is adopted together with various kinds of density-dependent pairing interaction and various kinds of tensor interaction. In the spherical case, considering pairing correlation (IS + IV) or switch off pairing, there is a clear bubble structure in 46Ar with interaction SLy5 + Tw, respectively. For 46Ar, we find that deformation weakens the bubble structure strongly, and pairing correlation also weakens the bubble in 46Ar and 22O , respectively. On the other hand, the SLy5 + Tw + IS + IV interaction evolves the bubble structure of neutron-rich Cl isotopes 43-47Cl in deformed cases because the occupation probability of states \( 2s_{1/2}\) decreases from 1 to 0.5.

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.

Similar content being viewed by others

References

  1. T. Otsuka, N. Fukunishi, H. Sagawa, Phys. Rev. Lett. 70, 1385 (1993)

    Article  ADS  Google Scholar 

  2. G. Co’, V. De Donno, P. Finelli, M. Grasso, M. Anguiano, A.M. Lallena, C. Giusti, A. Meucci, F.D. Pacati, Phys. Rev. C 85, 024322 (2012)

    Article  ADS  Google Scholar 

  3. D.D. Ni, Z.Z. Ren, T.K. Dong, Y.B. Qian, Phys. Rev. C 87, 024310 (2013)

    Article  ADS  Google Scholar 

  4. R. Crespo, R.C. Johnson, Phys. Rev. C 60, 034007 (1999)

    Article  ADS  Google Scholar 

  5. K. Hagino, H. Sagawa, J. Carbonell, P. Schuck, Phys. Rev. Lett. 99, 022506 (2007)

    Article  ADS  Google Scholar 

  6. Y. Urata, K. Hagino, H. Sagawa, Phys. Rev. C 86, 044613 (2012)

    Article  ADS  Google Scholar 

  7. Y.N. Zhang, J.C. Pei, F.R. Xu, Phys. Rev. C 88, 054305 (2013)

    Article  ADS  Google Scholar 

  8. M. Grasso, L. Gaudefroy, E. Khan, T. Nikšić, J. Piekarewicz, O. Sorlin, N. Van Giai, D. Vretenar, Phys. Rev. C 79, 034318 (2009)

    Article  ADS  Google Scholar 

  9. A. Shukla, S. Aberg, S.K. Patra, J. Phys. G: Nucl. Part. Phys. 38, 095103 (2011)

    Article  ADS  Google Scholar 

  10. J.M. Yao, S. Baroni, M. Bender, P.-H. Heenen, Phys. Rev. C 86, 014310 (2012)

    Article  ADS  Google Scholar 

  11. Y.Y. Chu, Z.Z. Ren, Z.J. Wang, T.K. Dong, Phys. Rev. C 82, 024320 (2010)

    Article  ADS  Google Scholar 

  12. E. Khan, M. Grasso, J. Margueron, N. Van Giai, Nucl. Phys. A 800, 37 (2008)

    Article  ADS  Google Scholar 

  13. B.G. Todd-Rutel, J. Piekarewicz, P.D. Cottle, Phys. Rev. C 69, 021301 (2004)

    Article  ADS  Google Scholar 

  14. Y.Z. Wang, Z.Y. Hou, Q.L. Zhang, R.L. Tian, J.Z. Gu, Phys. Rev. C 91, 017302 (2015)

    Article  ADS  Google Scholar 

  15. M. Bender, K. Bennaceur, T. Duguet, P.-H. Heenen, T. Lesinski, J. Meyer, Phys. Rev. C 80, 064302 (2009)

    Article  ADS  Google Scholar 

  16. Y.Z. Wang, J.Z. Gu, Z.Y. Li, G.L. Yu, Z.Y. Hou, Eur. Phys. J. A 49, 1 (2013)

    Article  Google Scholar 

  17. H. Nakada, K. Sugiura, J. Margueron, Phys. Rev. C 87, 067305 (2013)

    Article  ADS  Google Scholar 

  18. Y.Z. Wang, J.Z. Gu, X.Z. Zhang, J.M. Dong, Phys. Rev. C 84, 044333 (2011)

    Article  ADS  Google Scholar 

  19. A. Mutschler, A. Lemasson, O. Sorlin, D. Bazin, C. Borcea, R. Borcea, Z. Dombrvdi, J.-P. Ebran, A. Gade, H. Iwasaki, E. Khan, A. Lepailleur, F. Recchia, T. Roger, F. Rotaru, D. Sohler, M. Stanoiu, S.R. Stroberg, J.A. Tostevin, M. Vandebrouck, D. Weisshaar, K. Wimmeret, Nat. Phys. 13, 152 (2016)

    Article  Google Scholar 

  20. Jia Jie Li, Wen Hui Long, Jun Ling Song, Qiang Zhao, Phys. Rev. C 93, 054312 (2016)

    Article  ADS  Google Scholar 

  21. T. Myo, K. Katō, H. Toki, K. Ikeda, J. Phys.: Conf. Ser. 20, 187 (2005)

    ADS  Google Scholar 

  22. C.L. Bai, H.Q. Zhang, H. Sagawa, X.Z. Zhang, G. Colò, F.R. Xu, Phys. Rev. Lett. 105, 072501 (2010)

    Article  ADS  Google Scholar 

  23. T. Otsuka, T. Suzuki, R. Fujimoto, H. Grawe, Y. Akaishi, Phys. Rev. Lett. 95, 232502 (2005)

    Article  ADS  Google Scholar 

  24. T. Otsuka, T. Matsuo, D. Abe, Phys. Rev. Lett. 97, 162501 (2006)

    Article  ADS  Google Scholar 

  25. T. Otsuka, T. Suzuki, M. Honma, Y. Utsuno, N. Tsunoda, K. Tsukiyama, M. Hjorth-Jensen, Phys. Rev. Lett. 104, 012501 (2010)

    Article  ADS  Google Scholar 

  26. Long Jun Wang, Jian Min Dong, Wen Hui Long, Phys. Rev. C 87, 047301 (2013)

    Article  ADS  Google Scholar 

  27. Li Juan Jiang, Shen Yang, Bao Yuan Sun, Wen Hui Long, Huai Qiang Gu, Phys. Rev. C 91, 034326 (2015)

    Article  ADS  Google Scholar 

  28. D. Vautherin, Phys. Rev. C 7, 296 (1973)

    Article  ADS  Google Scholar 

  29. T.H.R. Skyrme, Nucl. Phys. 9, 615 (1958)

    Article  Google Scholar 

  30. T.H.R. Skyrme, Nucl. Phys. 9, 635 (1958)

    Article  Google Scholar 

  31. G. Colò, H. Sagawa, S. Fracasso, P.F. Bortignon, Phys. Lett. B 646, 227 (2007)

    Article  ADS  Google Scholar 

  32. X.R. Zhou, H. Sagawa, J. Phys.: Conf. Ser. 420, 012009 (2013)

    Google Scholar 

  33. H. Sagawa, G. Colò, Prog. Part. Nucl. Phys. 76, 76 (2014)

    Article  ADS  Google Scholar 

  34. B.A. Brown, T. Duguet, T. Otsuka, D. Abe, T. Suzuki, Phys. Rev. C 74, 061303(R) (2006)

    Article  ADS  Google Scholar 

  35. D.M. Brink, Fl. Stancu, Phys. Rev. C 75, 064311 (2007)

    Article  ADS  Google Scholar 

  36. T. Lesinski, M. Bender, K. Bennaceur, T. Duguet, J. Meyer, Phys. Rev. C 76, 014312 (2007)

    Article  ADS  Google Scholar 

  37. E. Chabanat, P. Bonche, P. Haensel, J. Meyer, R. Schaeffer, Nucl. Phys. A 635, 231 (1998)

    Article  ADS  Google Scholar 

  38. A. Li, E. Hiyama, X.R. Zhou, H. Sagawa, Phys. Rev. C 87, 014333 (2013)

    Article  ADS  Google Scholar 

  39. M. Grasso, D. Beaumel, E. Khan, D. Lacroix, J. Margueron, A. Vitturi, EPJ Web of Conferences 38, 04001 (2012)

    Article  Google Scholar 

  40. S.A. Changizi, C. Qi, Phys. Rev. C 91, 024305 (2015)

    Article  ADS  Google Scholar 

  41. J. Margueron, E. Khan, G. Colò, K. Hagino, H. Sagawa, Eur. Phys. J. A 50, 18 (2014)

    Article  ADS  Google Scholar 

  42. M. Bender, K. Rutz, P.-G. Reinhard, J.A. Maruhn, Eur. Phys. J. A 8, 59 (2000)

    Article  ADS  Google Scholar 

  43. S. Yoshida, H. Sagawa, Phys. Rev. C 77, 054308 (2008)

    Article  ADS  Google Scholar 

  44. G.F. Bertsch, C.A. Bertulani, W. Nazarewicz, N. Schunck, M.V. Stoitsov, Phys. Rev. C 79, 034306 (2009)

    Article  ADS  Google Scholar 

  45. C.A. Bertulani, H.F. Lü, H. Sagawa, Phys. Rev. C 80, 027303 (2009)

    Article  ADS  Google Scholar 

  46. J. Margueron, H. Sagawa, K. Hagino, Phys. Rev. C 77, 054309 (2008)

    Article  ADS  Google Scholar 

  47. C.A. Bertulani, H.L. Liu, H. Sagawa, Phys. Rev. C 85, 014321 (2012)

    Article  ADS  Google Scholar 

  48. J. Margueron, H. Sagawa, K. Hagino, Phys. Rev. C 76, 064316 (2007)

    Article  ADS  Google Scholar 

  49. E. Khan, J. Margueron, G. Colò, K. Hagino, H. Sagawa, Phys. Rev. C 82, 024322 (2010)

    Article  ADS  Google Scholar 

  50. X.R. Zhou, H. Sagawa, J. Phys. G: Nucl. Part. Phys. 39, 085104 (2012)

    Article  ADS  Google Scholar 

  51. J. Margueron, S. Goriely, M. Grasso, G. Colò, H. Sagawa, J. Phys. G: Nucl. Part. Phys. 36, 125103 (2009)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xian-Rong Zhou.

Additional information

Communicated by M. Bender

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Luo, ZJ., Yu, K., Zhou, XR. et al. Effects of deformation, pairing and tensor correlation on the evolution of bubble structure within the Skyrme-Hartree-Fock method. Eur. Phys. J. A 54, 193 (2018). https://doi.org/10.1140/epja/i2018-12620-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epja/i2018-12620-5

Navigation