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Prog. Theor. Phys. Vol. 115 No. 3 (2006) pp. 567-599

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Effects of Time-Odd Components in Mean Field on Large Amplitude Collective Dynamics

Nobuo Hinohara,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 Sciences, University of Tsukuba, Tsukuba 305-8571, Japan
3Department of Physics, Faculty of Science, Niigata University, Niigata 950-2181, Japan

(Received November 30, 2005)

Abstract:

We apply the adiabatic self-consistent collective coordinate (ASCC) method to the multi-O(4) model and study the collective mass (inertia function) of many-body tunneling motion. Comparing the results with those obtained from the exact diagonalization, we show that the ASCC method is capable of describing the gradual change of the excitation spectra from an anharmonic vibration about a spherical shape to a doublet pattern associated with a deformed double-well potential possessing oblate-prolate symmetry. It is found that the collective mass is significantly increased by the quadrupole-pairing contribution to time-odd components of the moving mean field. In contrast, the cranking (Inglis-Belyaev) mass based on the constrained mean field, which ignores the time-odd components, is smaller than the ASCC mass and fails to reproduce the exact spectra.


URL : http://ptp.ipap.jp/link?PTP/115/567/
DOI : 10.1143/PTP.115.567

[ Full Text PDF : FREE ACCESS (950K) ] 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. Ed. A. Abe and T. Suzuki, Prog. Theor. Phys. Suppl. Nos. 74 & 75 (1983).
  4. D. J. Rowe and R. Bassermann, Can. J. Phys. 54 (1976), 1941.
  5. D. M. Brink, M. J. Giannoni and M. Veneroni, Nucl. Phys. A 258 (1976), 237[CrossRef].
  6. F. Villars, Nucl. Phys. A 285 (1977), 269[CrossRef].
  7. T. Marumori, Prog. Theor. Phys. 57 (1977), 112[PTP].
  8. M. Baranger and M. Veneroni, Ann. of Phys. 114 (1978), 123[CrossRef].
  9. K. Goeke and P.-G. Reinhard, Ann. of Phys. 112 (1978), 328[CrossRef].
  10. T. Marumori, T. Maskawa, F. Sakata and A. Kuriyama, Prog. Theor. Phys. 64 (1980), 1294[PTP].
  11. M. J. Giannoni and P. Quentin, Phys. Rev. C 21 (1980), 2060[APS]; Phys. Rev. C 21 (1980), 2076[APS].
  12. J. Dobaczewski and J. Skalski, Nucl. Phys. A 369 (1981), 123[CrossRef].
  13. K. Goeke, P.-G. Reinhard and D. J. Rowe, Nucl. Phys. A 359 (1981), 408[CrossRef].
  14. A. K. Mukherjee and M. K. Pal, Phys. Lett. B 100 (1981), 457[CrossRef]; Nucl. Phys. A 373 (1982), 289[CrossRef].
  15. D. J. Rowe, Nucl. Phys. A 391 (1982), 307[CrossRef].
  16. C. Fiolhais and R. M. Dreizler, Nucl. Phys. A 393 (1983), 205[CrossRef].
  17. P.-G. Reinhard, F. Grümmer and K. Goeke, Z. Phys. A 317 (1984), 339.
  18. A. Kuriyama and M. Yamamura, Prog. Theor. Phys. 70 (1983), 1675[PTP]; Prog. Theor. Phys. 71 (1984), 122[PTP].
  19. M. Yamamura, A. Kuriyama and S. Iida, Prog. Theor. Phys. 71 (1984), 109[PTP].
  20. M. Matsuo and K. Matsuyanagi, Prog. Theor. Phys. 74 (1985), 288[PTP].
  21. M. Matsuo, Prog. Theor. Phys. 76 (1986), 372[PTP].
  22. Y. R. Shimizu and K. Takada, Prog. Theor. Phys. 77 (1987), 1192[PTP].
  23. M. Yamamura and A. Kuriyama, Prog. Theor. Phys. Suppl. No. 93 (1987), 1[PTP].
  24. A. Bulgac, A. Klein, N. R. Walet and G. Do Dang, Phys. Rev. C 40 (1989), 945[APS].
  25. N. R. Walet, G. Do Dang and A. Klein, Phys. Rev. C 43 (1991), 2254[APS].
  26. A. Klein, N. R. Walet and G. Do Dang, Ann. of Phys. 208 (1991), 90[CrossRef].
  27. K. Kaneko, Phys. Rev. C 49 (1994), 3014[APS].
  28. T. Nakatsukasa and N. R. Walet, Phys. Rev. C 57 (1998), 1192[APS].
  29. T. Nakatsukasa and N. R. Walet, Phys. Rev. C 58 (1998), 3397[APS].
  30. T. Nakatsukasa, N. R. Walet and G. Do Dang, Phys. Rev. C 61 (2000), 014302[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. L. Próchniak, P. Quentin, D. Samsoen and J. Libert, Nucl. Phys. A 730 (2004), 59[CrossRef].
  34. D. Almehed and N. R. Walet, Phys. Rev. C 69 (2004), 024302[APS].
  35. D. Almehed and N. R. Walet, Phys. Lett. B 604 (2004), 163[CrossRef].
  36. A. Klein and E. R. Marshalek, Rev. Mod. Phys. 63 (1991), 375[APS].
  37. G. Do Dang, A. Klein, and N. R. Walet, Phys. Rep. 335 (2000), 93[CrossRef].
  38. Ed. A. Kuriyama, K. Matsuyanagi, F. Sakata, K. Takada and M. Yamamura, Prog. Theor. Phys. Suppl. No. 141 (2001).
  39. J. Dudek, W. Dudek, E. Ruchowska and J. Skalski, Z. Phys. A 294 (1980), 341.
  40. D. J. Thouless and J. G. Valatin, Nucl. Phys. 31 (1962), 211[CrossRef].
  41. J. Dobaczewski and J. Dudek, Phys. Rev. C 52 (1995), 1827[APS].
  42. F. Barranco, G. F. Bertsch, R. A. Broglia and E. Vigezzi, Nucl. Phys. A 512 (1990), 253.
  43. G. F. Bertsch, Nucl. Phys. A 574 (1994), 169[CrossRef].
  44. M. Matsuo, Prog. Theor. Phys. 72 (1984), 666[PTP].
  45. 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].
  46. 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.
  47. K. Takada, K. Yamada and H. Tsukuma, Nucl. Phys. A 496 (1989), 224[CrossRef].
  48. K. Yamada, K. Takada and H. Tsukuma, Nucl. Phys. A 496 (1989), 239[CrossRef].
  49. K. Yamada and K. Takada, Nucl. Phys. A 503 (1989), 53[CrossRef].
  50. H. Aiba, Prog. Theor. Phys. 84 (1990), 908[PTP].
  51. K. Yamada, Prog. Theor. Phys. 85 (1991), 805[PTP]; Prog. Theor. Phys. 89 (1993), 995[PTP].
  52. J. Terasaki, T. Marumori and F. Sakata, Prog. Theor. Phys. 85 (1991), 1235[PTP].
  53. J. Terasaki, Prog. Theor. Phys. 88 (1992), 529[PTP]; Prog. Theor. Phys. 92 (1994), 535[PTP].
  54. M. Matsuo, in New Trends in Nuclear Collective Dynamics, ed. Y. Abe, H. Horiuchi and K. Matsuyanagi (Springer-Verlag, 1992), p. 219.
  55. Y. R. Shimizu and K. Matsuyanagi, Prog. Theor. Phys. Suppl. No. 141 (2001), 285[PTP].
  56. J. L. Wood, K. Heyde, W. Nazarewicz, M. Huyse and P. van Duppen, Phys. Rep. 215 (1992), 101[CrossRef].
  57. S. M. Fischer et al., Phys. Rev. Lett. 84 (2000), 4064[APS]; Phys. Rev. C 67 (2003), 064318[APS].
  58. E. Bouchez et al., Phys. Rev. Lett. 90 (2003), 082502[APS].
  59. M. Matsuo, T. Nakatsukasa and K. Matsuyanagi, Prog. Theor. Phys. 103 (2000), 959[PTP].
  60. M. Kobayasi, T. Nakatsukasa, M. Matsuo and K. Matsuyanagi, Prog. Theor. Phys. 110 (2003), 65[PTP].
  61. 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].
  62. M. Baranger and K. Kumar, Nucl. Phys. A 110 (1968), 490[CrossRef].
  63. D. R. Bes and R. A. Sorensen, Advances in Nuclear Physics, vol. 2 (Prenum Press, 1969), p. 129.
  64. 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.
  65. Y. Mizobuchi, Prog. Theor. Phys. 65 (1981), 1450[PTP].
  66. T. Suzuki and Y. Mizobuchi, Prog. Theor. Phys. 79 (1988), 480[PTP].
  67. T. Fukui, M. Matsuo and K. Matsuyanagi, Prog. Theor. Phys. 85 (1991), 281[PTP].
  68. M. Kobayasi, T. Nakatsukasa, M. Matsuo and K. Matsuyanagi, Prog. Theor. Phys. 112 (2004), 363[PTP]; Prog. Theor. Phys. 113 (2005), 129[PTP].
  69. S. T. Belyaev, Nucl. Phys. 64 (1965), 17[CrossRef].
  70. N. Hinohara, Proceedings of the YITP workshop on New Developments in Nuclear Self-Consistent Mean-Field Theories, Yukawa Institute, Kyoto, May 30-June 1, 2005; Master Thesis, Kyoto University, 2005.
  71. J. M. Eisenberg and W. Greiner, Nuclear Theory (North-Holland, 1970) [3rd revised version (1988)], vol. 1.
  72. N. Hinohara, T. Nakatsukasa, M. Matsuo and K. Matsuyanagi, in preparation.

Citing Article(s) :

  1. 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
  2. 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