HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 110 (2003) > Number 1
| Next Article >

Prog. Theor. Phys. Vol. 110 No. 1 (2003) pp. 65-91

[ Full Text PDF : FREE ACCESS (1000K) ]

Application of the Adiabatic Self-Consistent Collective Coordinate Method to a Solvable Model of Prolate-Oblate Shape Coexistence

Masato Kobayasi,1 Takashi Nakatsukasa,2 Masayuki Matsuo3 and Kenichi Matsuyanagi1

1Department of Physics, Graduate School of Science, Kyoto University, Kyoto 606-8502, Japan
2Physics Department, Tohoku University, Sendai 980-8578, Japan
3Graduate School of Science and Technology, Niigata University, Niigata 950-2181, Japan

(Received April 16, 2003)

Abstract:

The adiabatic self-consistent collective coordinate method is applied to an exactly solvable multi-O(4) model that is designed to describe nuclear shape coexistence phenomena. The collective mass and dynamics of large amplitude collective motion in this model system are analyzed, and it is shown that the method yields a faithful description of tunneling motion through a barrier between the prolate and oblate local minima in the collective potential. The emergence of the doublet pattern is clearly described.


URL : http://ptp.ipap.jp/link?PTP/110/65/
DOI : 10.1143/PTP.110.65

[ Full Text PDF : FREE ACCESS (1000K) ] Citation:

References:

  1. P. Ring and P. Schuck, The Nuclear Many-Body Problem (Springer-Verlag, 1980).
  2. J.-P. Blaizot and G. Ripka, Quantum Theory of Finite Systems (The MIT press, 1986).
  3. D. J. Rowe and R. Bassermann, Can. J. Phys. 54 (1976), 1941.
  4. K. Goeke, Nucl. Phys. A 265 (1976), 301[CrossRef].
  5. F. Villars, Nucl. Phys. A 285 (1977), 269[CrossRef].
  6. T. Marumori, Prog. Theor. Phys. 57 (1977), 112[PTP].
  7. M. Baranger and M. Veneroni, Ann. of Phys. 114 (1978), 123[CrossRef].
  8. K. Goeke and P.-G. Reinhard, Ann. of Phys. 112 (1978), 328[CrossRef].
  9. T. Marumori, T. Maskawa, F. Sakata and A. Kuriyama, Prog. Theor. Phys. 64 (1980), 1294[PTP].
  10. M. J. Giannoni and P. Quentin, Phys. Rev. C 21 (1980), 2060[APS].
  11. J. Dobaczewski and J. Skalski, Nucl. Phys. A 369 (1981), 123[CrossRef].
  12. K. Goeke, P.-G. Reinhard and D. J. Rowe, Nucl. Phys. A 359 (1981), 408[CrossRef].
  13. A. K. Mukherjee and M. K. Pal, Phys. Lett. B 100 (1981), 457[CrossRef]; Nucl. Phys. A 373 (1982), 289[CrossRef].
  14. D. J. Rowe, Nucl. Phys. A 391 (1982), 307[CrossRef].
  15. C. Fiolhais and R. M. Dreizler, Nucl. Phys. A 393 (1983), 205[CrossRef].
  16. K. Goeke, F. Grümmer and P.-G. Reinhard, Ann. of Phys. 150 (1983), 504[CrossRef].
  17. A. Kuriyama and M. Yamamura, Prog. Theor. Phys. 70 (1983), 1675[PTP]; Prog. Theor. Phys. 71 (1984), 122[PTP].
  18. M. Yamamura, A. Kuriyama and S. Iida, Prog. Theor. Phys. 71 (1984), 109[PTP].
  19. M. Matsuo and K. Matsuyanagi, Prog. Theor. Phys. 74 (1985), 288[PTP].
  20. M. Matsuo, Prog. Theor. Phys. 76 (1986), 372[PTP].
  21. Y. R. Shimizu and K. Takada, Prog. Theor. Phys. 77 (1987), 1192[PTP].
  22. M. Yamamura and A. Kuriyama, Prog. Theor. Phys. Suppl. No. 93 (1987), 1[PTP].
  23. N. R. Walet, G. Do Dang and A. Klein, Phys. Rev. C 43 (1991), 2254[APS].
  24. A. Klein, N. R. Walet and G. Do Dang, Ann. of Phys. 208 (1991), 90[CrossRef].
  25. K. Kaneko, Phys. Rev. C 49 (1994), 3014[APS].
  26. T. Nakatsukasa and N. R. Walet, Phys. Rev. C 57 (1998), 1192[APS].
  27. T. Nakatsukasa and N. R. Walet, Phys. Rev. C 58 (1998), 3397[APS].
  28. J. Libert, M. Girod and J.-P. Delaroche, Phys. Rev. C 60 (1999), 054301[APS].
  29. E. Kh. Yuldashbaeva, J. Libert, P. Quentin and M. Girod, Phys. Lett. B 461 (1999), 1[CrossRef].
  30. T. Nakatsukasa, N. R. Walet and G. Do Dang, Phys. Rev. C 61 (2000), 014302[APS].
  31. G. Do Dang, A. Klein and N. R. Walet, Phys. Rep. 335 (2000), 93[CrossRef].
  32. J. L. Wood, K. Heyde, W. Nazarewicz, M. Huyse and P. van Duppen, Phys. Rep. 215 (1992), 101[CrossRef].
  33. W. Nazarewicz, Phys. Lett. B 305 (1993), 195[CrossRef].
  34. W. Nazarewicz, Nucl. Phys. A 557 (1993), 489[CrossRef].
  35. N. Tajima, H. Flocard, P. Bonche, J. Dobaczewski and P.-H. Heenen, Nucl. Phys. A 551 (1993), 409[CrossRef].
  36. P. Bonche, E. Chabanat, B. Q. Chen, J. Dobaczewski, H. Flocard, B. Gall, P. H. Heenen, J. Meyer, N. Tajima and M. S. Weiss, Nucl. Phys. A 574 (1994), 185[CrossRef].
  37. P.-G. Reinhard, D. J. Dean, W. Nazarewicz, J. Dobaczewski, J. A. Maruhn and M. R. Strayer, Phys. Rev. C 60 (1999), 014316[APS].
  38. A. N. Andreyev et al., Nature 405 (2000), 430[CrossRef]; Nucl. Phys. A 682 (2001), 482c[CrossRef].
  39. S. M. Fischer et al., Phys. Rev. Lett. 84 (2000), 4064[APS].
  40. R. R. Rodríguez-Guzmán, J. L. Egido and L. M. Robledo, Phys. Rev. C 62 (2000), 054319[APS]; Phys. Rev. C 65 (2002), 024304[APS].
  41. R. R. Chasman, J. L. Egido and L. M. Robledo, Phys. Lett. B 513 (2001), 325[CrossRef].
  42. T. Nikšić, D. Vretenar, P. Ring and G. A. Lalazissis, Phys. Rev. C 65 (2002), 054320[APS].
  43. A. Petrovici, K. W. Schmid and A. Faessler, Nucl. Phys. A 710 (2002), 246[CrossRef].
  44. T. Duguet, M. Bender, P. Bonche and P.-H. Heenen, nucl-th/0212016[e-print arXiv].
  45. R. Fossion, K. Heyde, G. Thiamova and P. Van Isacker, nucl-th/0301029[e-print arXiv].
  46. M. Matsuo, Prog. Theor. Phys. 72 (1984), 666[PTP].
  47. M. Matsuo and K. Matsuyanagi, Prog. Theor. Phys. 74 (1985), 1227[PTP]; Prog. Theor. Phys. 76 (1986), 93[PTP]; Prog. Theor. Phys. 78 (1987), 591[PTP].
  48. M. Matsuo, Y. R. Shimizu and K. Matsuyanagi, Proceedings of the Niels Bohr Centennial Conf. on Nuclear Structure, ed. R. Broglia, G. Hagemann and B. Herskind (North-Holland, 1985), p. 161.
  49. K. Takada, K. Yamada and H. Tsukuma, Nucl. Phys. A 496 (1989), 224[CrossRef].
  50. K. Yamada, K. Takada and H. Tsukuma, Nucl. Phys. A 496 (1989), 239[CrossRef].
  51. K. Yamada and K. Takada, Nucl. Phys. A 503 (1989), 53[CrossRef].
  52. H. Aiba, Prog. Theor. Phys. 84 (1990), 908[PTP].
  53. K. Yamada, Prog. Theor. Phys. 85 (1991), 805[PTP]; Prog. Theor. Phys. 89 (1993), 995[PTP].
  54. J. Terasaki, T. Marumori and F. Sakata, Prog. Theor. Phys. 85 (1991), 1235[PTP].
  55. J. Terasaki, Prog. Theor. Phys. 88 (1992), 529[PTP]; Prog. Theor. Phys. 92 (1994), 535[PTP].
  56. M. Matsuo, in New Trends in Nuclear Collective Dynamics, ed. Y. Abe, H. Horiuchi and K. Matsuyanagi (Springer-Verlag, 1992), p. 219.
  57. Y. R. Shimizu and K. Matsuyanagi, Prog. Theor. Phys. Suppl. No. 141 (2001), 285[PTP].
  58. M. Matsuo, T. Nakatsukasa and K. Matsuyanagi, Prog. Theor. Phys. 103 (2000), 959[PTP].
  59. M. Baranger and K. Kumar, Nucl. Phys. 62 (1965), 113[CrossRef]; Nucl. Phys. A 100 (1967), 490; Nucl. Phys. A 110 (1968), 529[CrossRef]; Nucl. Phys. A 122 (1968), 241[CrossRef]; Nucl. Phys. A 122 (1968), 273[CrossRef].
  60. D. R. Bes and R. A. Sorensen, Advances in Nuclear Physics (Prenum Press, 1969), vol. 2, p. 129.
  61. K. Matsuyanagi, Prog. Theor. Phys. 67 (1982), 1141[PTP]; Proceedings of the Nuclear Physics Workshop, Trieste, 5-30 Oct. 1981, ed. C. H. Dasso, R. A. Broglia and A. Winther (North-Holland, 1982), p. 29.
  62. Y. Mizobuchi, Prog. Theor. Phys. 65 (1981), 1450[PTP].
  63. T. Suzuki and Y. Mizobuchi, Prog. Theor. Phys. 79 (1988), 480[PTP].
  64. T. Fukui, M. Matsuo and K. Matsuyanagi, Prog. Theor. Phys. 85 (1991), 281[PTP].
  65. P. O. Arve and G. F. Bertsch, Phys. Lett. B 215 (1988), 1[CrossRef].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 112 No. 2 (2004) pp. 363-368 :
    Collective Path Connecting the Oblate and Prolate Local Minima in 68Se
    Masato Kobayasi, Takashi Nakatsukasa, Masayuki Matsuo and Kenichi Matsuyanagi
  2. Progress of Theoretical Physics Vol. 112 No. 4 (2004) pp. 583-601 :
    Fermionic Squeezed State for the O(4) Model as a Schematic Model in a Many-Fermion System
    Hideaki Akaike, Yasuhiko Tsue and Seiya Nishiyama
  3. Progress of Theoretical Physics Vol. 113 No. 1 (2005) pp. 129-152 :
    Collective Paths Connecting the Oblate and Prolate Shapes in 68Se and 72Kr Suggested by the Adiabatic Self-Consistent Collective Coordinate Method
    Masato Kobayasi, Takashi Nakatsukasa, Masayuki Matsuo and Kenichi Matsuyanagi
  4. Progress of Theoretical Physics Vol. 113 No. 3 (2005) pp. 563-580 :
    A Possible Boson Realization of the so(4)- and the so(3,1)-Algebra
    Seiya Nishiyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  5. Progress of Theoretical Physics Vol. 115 No. 3 (2006) pp. 567-599 :
    Effects of Time-Odd Components in Mean Field on Large Amplitude Collective Dynamics
    Nobuo Hinohara, Takashi Nakatsukasa, Masayuki Matsuo and Kenichi Matsuyanagi
  6. Progress of Theoretical Physics Vol. 117 No. 3 (2007) pp. 451-478 :
    Gauge-Invariant Formulation of the Adiabatic Self-Consistent Collective Coordinate Method
    Nobuo Hinohara, Takashi Nakatsukasa, Masayuki Matsuo and Kenichi Matsuyanagi
  7. Progress of Theoretical Physics Vol. 119 No. 1 (2008) pp. 59-101 :
    Microscopic Derivation of Collective Hamiltonian by Means of the Adiabatic Self-Consistent Collective Coordinate Method
    Nobuo Hinohara, Takashi Nakatsukasa, Masayuki Matsuo and Kenichi Matsuyanagi

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

Copyright © Progress of Theoretical Physics 2013 All rights reserved.