HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 120 (2008) > Number 1
| Next Article >

Prog. Theor. Phys. Vol. 120 No. 1 (2008) pp. 129-142

[ Full Text PDF : NO CHARGE (810K) ]

Shape Evolution of C Isotopes in (β, γ) Deformation Plane

Ying Zhang,1,2 Hiroyuki Sagawa,2 Daishi Yoshino,2 Kouichi Hagino3 and Jie Meng1,4,5,6

1School of Physics and State Key Laboratory of Nuclear Physics and Technology,
Peking University, Beijing 100871, China
2Center for Mathematics and Physics, University of Aizu,
Aizu-Wakamatsu 965-8580, Japan
3Department of Physics, Tohoku University, Sendai 980-8578, Japan
4Institute of Theoretical Physics, Chinese Academy of Sciences,
Beijing 100080, China
5Center of Theoretical Nuclear Physics, National Laboratory of
Heavy Ion Accelerator, Lanzhou 730000, China
6Department of Physics, University of Stellenbosch, Stellenbosch, South Africa

(Received January 30, 2008)

Abstract:

We study the shape evolution of C isotopes in the full (β, γ) deformation plane using a constrained Skyrme Hartree-Fock + BCS method in coordinate space. It is shown that the deformation of the energy minimum varies markedly in the (β, γ) plane as a function of mass number, which can be viewed as a clear manifestation of the spontaneous symmetry breaking effect in finite many-body systems. We also study the difference in deformations between protons and neutrons in the total (β, γ) plane. It is found that the proton and neutron quadrupole moments are almost the same in light C isotopes, while the neutron quadrupole moment is about 3 times larger than the proton one in C isotopes heavier than 16C. The isospin symmetry of the mirror nuclei 10C and 10Be is also examined in connection with the deformation in the (β, γ) plane.


URL : http://ptp.ipap.jp/link?PTP/120/129/
DOI : 10.1143/PTP.120.129

[ Full Text PDF : NO CHARGE (810K) ]  Citation:

References:

  1. I. Tanihata, H. Hamagaki, O. Hashimoto, Y. Shida, N. Yoshikawa, K. Sugimoto, O. Yamakawa, T. Kobayashi and N. Takahashi, Phys. Rev. Lett. 55 (1985), 2676[APS].
    P. G. Hansen and B. Jonson, Europhys. Lett. 4 (1987), 409[CrossRef].
  2. A. Ozawa, T. Kobayashi, T. Suzuki, K. Yoshida and I. Tanihata, Phys. Rev. Lett. 84 (2000), 5493[APS].
  3. A. Leistenschneider et al., Phys. Rev. Lett. 86 (2001), 5442[APS].
  4. N. Imai et al., Phys. Rev. Lett. 92 (2004), 062501[APS].
  5. H. J. Ong, N. Imai, D. Suzuki, H. Iwasaki, H. Sakurai, T. K. Onishi, M. K. Suzuki, S. Ota, S. Takeuchi, T. Nakao, Y. Togano, Y. Kondo, N. Aoi, H. Baba, S. Bishop, Y. Ichikawa, M. Ishihara, T. Kubo, K. Kurita, T. Motobayashi, T. Nakamura, T. Okumura and Y. Yanagisawa, arXiv:0711.4062[e-print arXiv].
  6. P. Fallon et al., Phys. Rev. Lett. (2008), in press.
  7. Y. Kanada-En'yo, Phys. Rev. C 71 (2005), 014310[APS].
  8. J. Meng and P. Ring, Phys. Rev. Lett. 77 (1996), 3963[APS].
  9. J. Meng, H. Toki, S. G. Zhou, S. Q. Zhang, W. H. Long and L. S. Geng, Prog. Part. Nucl. Phys. 57 (2006), 470.
  10. J. Meng, S. G. Zhou and I. Tanihata, Phys. Lett. B 532 (2002), 209[CrossRef].
  11. H. Sagawa, X. R. Zhou, X. Z. Zhang and T. Suzuki, Phys. Rev. C 70 (2004), 054316[APS].
  12. P. Bonche, H. Flocard and P. H. Heenen, Comput. Phys. Commun. 171 (2005), 49[CrossRef].
  13. K. T. R. Davies, H. Flocard, S. J. Krieger and M. S. Weiss, Nucl. Phys. A 342 (1980), 111[CrossRef].
  14. P. Bonche, H. Flocard, P. H. Heenen, S. J. Krieger and M. S. Weiss, Nucl. Phys. A 443 (1985), 39[CrossRef].
  15. S. J. Krieger, P. Bonche, H. Flocard, P. Quentin and M. S. Weiss, Nucl. Phys. A 517 (1990), 275[CrossRef].
  16. D. Vautherin and D. M. Brink, Phys. Rev. C 5 (1972), 626[APS].
  17. T. Suzuki, H. Sagawa and K. Hagino, Proceedings of the International Symposium on Frontiers of Collective Motions (CM2002) (World Scientific, Singapore), p. 236.
    H. Sagawa, T. Suzuki and K. Hagino, Nucl. Phys. A 722 (2003), 183[Elsevier].
  18. J. Dobaczewski, H. Flocard and J. Treiner, Nucl. Phys. A 422 (1984), 103[CrossRef].
  19. J. Dobaczewski, W. Nazarewicz, T. R. Werner, J. F. Berger, C. R. Chinn and J. Decharge, Phys. Rev. C 53 (1996), 2809[APS].
  20. M. Grasso, N. Sandulescu, Nguyen Van Giai and R. J. Liotta, Phys. Rev. C 64 (2001), 064321[APS].
  21. K. Hagino and H. Sagawa, Phys. Rev. C 71 (2005), 044302[APS].
  22. S. Cwiok, J. Dobaczewski, P. H. Heenen, P. Magierski and W. Nazarewicz, Nucl. Phys. A 611 (1996), 211[CrossRef].
  23. A. Ozawa et al., Nucl. Phys. A 691 (2001), 599, [CrossRef]and references therein.
  24. N. Tajima and N. Suzuki, Phys. Rev. C 64 (2001), 037301[APS].
  25. H. A. Jahn and E. Teller, Proc. R. Soc. London A 161 (1937), 220.
    P. G. Reinhard and E. W. Otten, Nucl. Phys. A 420 (1984), 173[CrossRef].
    W. Nazarewicz, Int. J. Mod. Phys. E 2 (1993), 51.
  26. Z. Elekes et al., Phys. Lett. B 586 (2004), 34[CrossRef].
  27. S. Raman, C. W. Nestor, Jr., S. Kahana and K. H. Bhatt, At. Data Nucl. Data Tables 42 (1989), 1.
  28. J. L. Friar and J. W. Negele, Adv. Nucl. Phys. 8 (1975), 219.
  29. S. Eidelman, Phys. Lett. B 592 (2004), 1[CrossRef].
  30. H. DeVries, C. W. DeJager and C. DeVries, At. Data Nucl. Data Tables 36 (1987), 495.
  31. M. M. Sharma, S. Mythili and A. R. Farhan, Phys. Rev. C 59 (1999), 1379[APS].

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2010 All rights reserved.