HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 113 (2005) > Number 1
| Next Article >

Prog. Theor. Phys. Vol. 113 No. 1 (2005) pp. 129-152

[ Full Text PDF : FREE ACCESS (309K) ]

Collective Paths Connecting the Oblate and Prolate Shapes in 68Se and 72Kr Suggested by the Adiabatic Self-Consistent Collective Coordinate Method

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

1Department of Physics, Graduate School of Science, Kyoto University, Kyoto 606-8502, Japan
2Institute of Physics and Center for Computational Science, University of Tsukuba,Tsukuba 305-8571, Japan
3Graduate School of Science and Technology, Niigata University, Niigata 950-2181, Japan

(Received November 15, 2004)

Abstract:

By means of the adiabatic self-consistent collective coordinate method and the pairing-plus-quadrupole interaction, we have for the first time obtained a self-consistent collective path connecting the oblate and prolate local minima in 68Se and 72Kr. This self-consistent collective path is found to run approximately along the valley connecting the oblate and prolate local minima in the collective potential energy landscape. The result of this calculation clearly indicates the importance of triaxial deformation dynamics in oblate-prolate shape coexistence phenomena.


URL : http://ptp.ipap.jp/link?PTP/113/129/
DOI : 10.1143/PTP.113.129

[ Full Text PDF : FREE ACCESS (309K) ] 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. A. Klein and E. R. Marshalek, Rev. Mod. Phys. 63 (1991), 375[APS].
  4. G. Do Dang, A. Klein and N. R. Walet, Phys. Rep. 335 (2000), 93[CrossRef].
  5. A. Kuriyama, K. Matsuyanagi, F. Sakata, K. Takada and M. Yamamura (ed.), Prog. Theor. Phys. Suppl. No. 141 (2001).
  6. D. J. Rowe and R. Bassermann, Can. J. Phys. 54 (1976), 1941.
  7. K. Goeke, Nucl. Phys. A 265 (1976), 301[CrossRef].
  8. F. Villars, Nucl. Phys. A 285 (1977), 269[CrossRef].
  9. T. Marumori, Prog. Theor. Phys. 57 (1977), 112[PTP].
  10. M. Baranger and M. Veneroni, Ann. of Phys. 114 (1978), 123[CrossRef].
  11. K. Goeke and P.-G. Reinhard, Ann. of Phys. 112 (1978), 328[CrossRef].
  12. T. Marumori, T. Maskawa, F. Sakata and A. Kuriyama, Prog. Theor. Phys. 64 (1980), 1294[PTP].
  13. M. J. Giannoni and P. Quentin, Phys. Rev. C 21 (1980), 2060[APS].
  14. J. Dobaczewski and J. Skalski, Nucl. Phys. A 369 (1981), 123[CrossRef].
  15. K. Goeke, P.-G. Reinhard and D. J. Rowe, Nucl. Phys. A 359 (1981), 408[CrossRef].
  16. A. K. Mukherjee and M. K. Pal, Phys. Lett. B 100 (1981), 457[CrossRef]; Nucl. Phys. A 373 (1982), 289[CrossRef].
  17. D. J. Rowe, Nucl. Phys. A 391 (1982), 307[CrossRef].
  18. C. Fiolhais and R. M. Dreizler, Nucl. Phys. A 393 (1983), 205[CrossRef].
  19. K. Goeke, F. Grümmer and P.-G. Reinhard, Ann. of Phys. 150 (1983), 504[CrossRef].
  20. A. Kuriyama and M. Yamamura, Prog. Theor. Phys. 70 (1983), 1675[PTP]; ibid. 71 (1984), 122[PTP].
  21. M. Yamamura, A. Kuriyama and S. Iida, Prog. Theor. Phys. 71 (1984), 109[PTP].
  22. M. Matsuo and K. Matsuyanagi, Prog. Theor. Phys. 74 (1985), 288[PTP].
  23. M. Matsuo, Prog. Theor. Phys. 76 (1986), 372[PTP].
  24. Y. R. Shimizu and K. Takada, Prog. Theor. Phys. 77 (1987), 1192[PTP].
  25. M. Yamamura and A. Kuriyama, Prog. Theor. Phys. Suppl. No. 93 (1987), 1[PTP].
  26. N. R. Walet, G. Do Dang and A. Klein, Phys. Rev. C 43 (1991), 2254[APS].
  27. A. Klein, N. R. Walet and G. Do Dang, Ann. of Phys. 208 (1991), 90[CrossRef].
  28. K. Kaneko, Phys. Rev. C 49 (1994), 3014[APS].
  29. T. Nakatsukasa and N. R. Walet, Phys. Rev. C 57 (1998), 1192[APS].
  30. T. Nakatsukasa and N. R. Walet, Phys. Rev. C 58 (1998), 3397[APS].
  31. J. Libert, M. Girod and J.-P. Delaroche, Phys. Rev. C 60 (1999), 054301[APS].
  32. E. Kh. Yuldashbaeva, J. Libert, P. Quentin and M. Girod, Phys. Lett. B 461 (1999), 1[CrossRef].
  33. T. Nakatsukasa, N. R. Walet and G. Do Dang, Phys. Rev. C 61 (2000), 014302[APS].
  34. J. L. Wood, K. Heyde, W. Nazarewicz, M. Huyse and P. van Duppen, Phys. Rep. 215 (1992), 101[CrossRef].
  35. W. Nazarewicz, Phys. Lett. B 305 (1993), 195[CrossRef].
  36. W. Nazarewicz, Nucl. Phys. A 557 (1993), 489[CrossRef].
  37. N. Tajima, H. Flocard, P. Bonche, J. Dobaczewski and P.-H. Heenen, Nucl. Phys. A 551 (1993), 409[CrossRef].
  38. 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].
  39. P.-G. Reinhard, D. J. Dean, W. Nazarewicz, J. Dobaczewski, J. A. Maruhn and M. R. Strayer, Phys. Rev. C 60 (1999), 014316[APS].
  40. A. N. Andreyev et al., Nature 405 (2000), 430[CrossRef]; Nucl. Phys. A 682 (2001), 482c[CrossRef].
  41. S. M. Fischer et al., Phys. Rev. Lett. 84 (2000), 4064[APS]; Phys. Rev. C 67 (2003), 064318[APS].
  42. E. Bouchez et al., Phys. Rev. Lett. 90 (2003), 082502[APS].
  43. R. R. Rodríguez-Guzmán, J. L. Egido and L. M. Robledo, Phys. Rev. C 62 (2000), 054319[APS]; ibid. 65 (2002), 024304[APS]; ibid. 69 (2004), 054319[APS].
  44. J. L. Egido, L. M. Robledo and R. R. Rodríguez-Guzmán, Phys. Rev. Lett. 93 (2004), 082502[APS].
  45. R. R. Chasman, J. L. Egido and L. M. Robledo, Phys. Lett. B 513 (2001), 325[CrossRef].
  46. T. Nikšić, D. Vretenar, P. Ring and G. A. Lalazissis, Phys. Rev. C 65 (2002), 054320[APS].
  47. T. Duguet, M. Bender, P. Bonche and P.-H. Heenen, Phys. Lett. B 559 (2003), 201[CrossRef].
  48. M. Bender, P. Bonche, T. Duguet and P.-H. Heenen, Phys. Rev. C 69 (2004), 064303[APS].
  49. A. Petrovici, K. W. Schmid, A. Faessler, J. H. Hamilton and A. V. Ramayya, Prog. Part. Nucl. Phys. 43 (1999), 485.
  50. A. Petrovici, K. W. Schmid and A. Faessler, Nucl. Phys. A 665 (2000), 333[CrossRef]; ibid. 710 (2002), 246[CrossRef].
  51. R. Fossion, K. Heyde, G. Thiamova and P. Van Isacker, Phys. Rev. C 67 (2003), 024306[APS].
  52. A. Frank, P. Van Isacker and C. E. Vargas, Phys. Rev. C 69 (2004), 034323[APS].
  53. C. D. Dracoulis et al. Phys. Rev. C 69 (2004), 054318[APS].
  54. K. Kaneko, M. Hasegawa and T. Mizusaki, Phys. Rev. C 66 (2002), 051306[APS](R); nucl-th/0410046[e-print arXiv].
  55. M. Hasegawa, K. Kaneko, T. Mizusaki and S. Tazaki, Phys. Rev. C 69 (2004), 034324[APS].
  56. M. Hasegawa, K. Kaneko and T. Mizusaki, nucl-th/0408062[e-print arXiv]; nucl-th/0408063[e-print arXiv].
  57. Y. Sun, Eur. Phys. J. A 20 (2004), 133[CrossRef].
  58. M. Matsuo, Prog. Theor. Phys. 72 (1984), 666[PTP].
  59. M. Matsuo and K. Matsuyanagi, Prog. Theor. Phys. 74 (1985), 1227[PTP]; ibid. 76 (1986), 93[PTP]; ibid. 78 (1987), 591[PTP].
  60. 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.
  61. K. Takada, K. Yamada and H. Tsukuma, Nucl. Phys. A 496 (1989), 224[CrossRef].
  62. K. Yamada, K. Takada and H. Tsukuma, Nucl. Phys. A 496 (1989), 239[CrossRef].
  63. K. Yamada and K. Takada, Nucl. Phys. A 503 (1989), 53[CrossRef].
  64. H. Aiba, Prog. Theor. Phys. 84 (1990), 908[PTP].
  65. K. Yamada, Prog. Theor. Phys. 85 (1991), 805[PTP]; ibid. 89 (1993), 995[PTP].
  66. J. Terasaki, T. Marumori and F. Sakata, Prog. Theor. Phys. 85 (1991), 1235[PTP].
  67. J. Terasaki, Prog. Theor. Phys. 88 (1992), 529[PTP]; ibid. 92 (1994), 535[PTP].
  68. M. Matsuo, in New Trends in Nuclear Collective Dynamics, ed. Y. Abe, H. Horiuchi and K. Matsuyanagi (Springer-Verlag, 1992), p. 219.
  69. Y. R. Shimizu and K. Matsuyanagi, Prog. Theor. Phys. Suppl. No. 141 (2001), 285[PTP].
  70. M. Matsuo, T. Nakatsukasa and K. Matsuyanagi, Prog. Theor. Phys. 103 (2000), 959[PTP].
  71. M. Kobayasi, T. Nakatsukasa, M. Matsuo and K. Matsuyanagi, Prog. Theor. Phys. 110 (2003), 65[PTP].
  72. K. Matsuyanagi, Prog. Theor. Phys. 67 (1982), 1441[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.
  73. Y. Mizobuchi, Prog. Theor. Phys. 65 (1981), 1450[PTP].
  74. T. Suzuki and Y. Mizobuchi, Prog. Theor. Phys. 79 (1988), 480[PTP].
  75. T. Fukui, M. Matsuo and K. Matsuyanagi, Prog. Theor. Phys. 85 (1991), 281[PTP].
  76. M. Baranger and K. Kumar, Nucl. Phys. 62 (1965), 113[CrossRef]; Nucl. Phys. A 110 (1968), 529[CrossRef]; Nucl. Phys. A 122 (1968), 241[CrossRef]; Nucl. Phys. A 122 (1968), 273[CrossRef].
  77. M. Baranger and K. Kumar, Nucl. Phys. A 110 (1968), 490[CrossRef].
  78. D. R. Bes and R. A. Sorensen, Advances in Nuclear Physics (Prenum Press, 1969), vol. 2, p. 129.
  79. D. Almehed and N. R. Walet, Phys. Rev. C 69 (2004), 024302[APS].
  80. D. Almehed and N. R. Walet, Phys. Lett. B 604 (2004), 163[CrossRef].
  81. M. Kobayasi, T. Nakatsukasa, M. Matsuo and K. Matsuyanagi, Prog. Theor. Phys. 112 (2004), 363[PTP].
  82. M. Yamagami, K. Matsuyanagi and M. Matsuo, Nucl. Phys. A 693 (2001), 579[CrossRef].
  83. T. Bengtsson and I. Ragnarsson, Nucl. Phys. A 436 (1985), 14[CrossRef].
  84. M. Kobayasi, T. Nakatsukasa, M. Matsuo and K. Matsuyanagi, in preparation.
  85. K. T. R. Davies, H. Flocard, S. Krieger and M. S. Weiss, Nucl. Phys. A 342 (1980), 111[CrossRef].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 115 No. 1 (2006) pp. 129-141 :
    On Parametric Resonance in Quantum Many-Body System
    Yasuhiko Tsue, João da Providência, Atsushi Kuriyama and Masatoshi Yamamura
  2. 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
  3. 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
  4. 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
  5. Progress of Theoretical Physics Vol. 123 No. 1 (2010) pp. 129-155 :
    A Model Analysis of Triaxial Deformation Dynamics in Oblate-Prolate Shape Coexistence Phenomena
    Koichi Sato, 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.