Microscopic analysis of shape-phase transitions in even-even N∼90 rotating nuclei

Physical Review C - Nuclear Physics

Volumn 73, Issue 1, 2006, Pages

  Kvasil, J ^a   Nazmitdinov, R G ^b,c  

^a CHARLES UNIVERSITY   (Czech Republic)

^b UNIVERSITAT DE LES ILLES BALEARS   (Spain)

^c JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 32644483692     PISSN: 05562813     EISSN: 1089490X     Source Type: Journal    
DOI: 10.1103/PhysRevC.73.014312     Document Type: Article

References (66)

1. A. Johnson, H. Ryde, and J. Sztarkier, Phys. Lett. PYLBAJ 0370-2693 10.1016/0370-2693(71)90150-X B34, 605 (1971).
2. P. Ring and P. Schuck, The Nuclear Many-Body Problem (Springer-Verlag, New York 1980).
3. S. G. Nilsson and I. Ragnarsson, Shapes and Shells in Nuclear Structure (Cambridge University, Cambridge, England, 1995).
4. P. H. Regan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90. 152502 90, 152502 (2003).
5. J. Kvasil and R. G. Nazmitdinov, Phys. Rev. C 0556-2813 10.1103/PhysRevC.69.031304 69, 031304(R) (2004);
6. J. Kvasil, R. G. Nazmitdinov, and A. S. Sitdikov, Phys. At. Nucl. PANUEO 1063-7788 10.1134/1.1802352 67, 1650 (2004).
7. B. R. Mottelson and J. G. Valatin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.5.511 5, 511 (1960).
8. L. D. Landau and E. M. Lifshitz, Statistical Physics, Course of Theoretical Physics (Butterworth-Heinsmann, Oxford, 2001), Part 1, Vol. V.
9. D. J. Thouless, Nucl. Phys. NUPABL 0375-9474 10.1016/0029-5582(61)90364-9 22, 78 (1961).
10. Y. Alhassid, S. Levit, and J. Zingman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.57.273 57, 539 (1986);
11. Y. Alhassid, J. M. Manoyan, and S. Levit, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.63.31, 63, 31 (1989).
12. S. Sachdev, Quantum Phase Transitions (Cambridge University, Cambridge, England, 1999).
13. F. Iachello and N. V. Zamfir, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.212501 92, 212501 (2004).
14. J. Jolie, P. Cejnar, R. F. Casten, S. Heinze, A. Linnemann, and V. Werner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.182502 89, 182502 (2002).
15. P. Cejnar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90. 112501 90, 112501 (2003);
16. P. Cejnar and J. Jolie, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.69.011301 69, 011301(R) (2004).
17. D. Warner, Nature (London) NATUAS 0028-0836 10.1038/420614a 420, 614 (2002).
18. E. Caurier, J. L. Egido, G. Martinez-Pinedo, A. Poves, J. Retamosa, L. M. Robledo, and A. P. Zuker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.2466 75, 2466 (1995);
19. G. Martinez-Pinedo, A. Poves, L. M. Robledo, E. Caurier, F. Nowacki, J. Retamosa, and A. Zuker, Phys. Rev. C 0556-2813 10.1103/PhysRevC.54.R2150 54, R2150 (1996).
20. K. Enami, K. Tanabe, and N. Yoshinaga, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.59.135 59, 135 (1999).
21. E. Garrote, J. L. Egido, and L. M. Robledo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.4398 80, 4398 (1998).
22. P. Bonche, P. H. Heenen, and H. C. Flocard, Nucl. Phys. NUPABL 0375-9474 10.1016/0375-9474(87)90331-9 A467, 115 (1987).
23. S. Frauendorf, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.73.463 73, 463 (2001).
24. W. Satula and R. A. Wyss, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/68/1/R03 68, 131 (2005).
25. L. Serra, R. G. Nazmitdinov, and A. Puente, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.035341 68, 035341 (2003).
26. A. Puente, L. Serra, and R. G. Nazmitdinov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.125315 69, 125315 (2004).
27. A. V. Afanasjev, T. L. Khoo, S. Frauendorf, G. A. Lalazissis, and I. Ahmad, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.67.024309 67, 024309 (2003).
28. M. Bender, J. Dobaczewski, J. Engel, and W. Nazarewicz, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.65.054322 65, 054322 (2002);
29. J. Terasaki, J. Engel, M. Bender, J. Dobaczewski, W. Nazarewicz, and M. Stoitsov, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.71.034310 71, 034310 (2005).
30. J. Kvasil and R. G. Nazmitdinov, Fiz. Elem. Chastits At. Yadra 17, 613 (1986)
31. J. Kvasil and R. G. Nazmitdinov, [Sov. J. Part. Nucl. 17, 265 (1986)].
32. T. Nakatsukasa, K. Matsuyanagi, S. Mizutori, and Y. R. Shimizu, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.53.2213 53, 2213 (1996).
33. W. D. Heiss and R. G. Nazmitdinov, Pis'ma Z. Eksp. Teor. Fiz., 72, 157 (2000)
34. W. D. Heiss and R. G. Nazmitdinov, [JETP Lett. 0021-3640 10.1134/1.1316809 72, 106 (2000)];
35. W. D. Heiss and R. G. Nazmitdinov, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.65.054304 65, 054304 (2002).
36. R. G. Nazmitdinov, D. Almehed, and F. Dönau, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.65.041307 65, 041307(R) (2002).
37. V. G. Soloviev, Theory of Complex Nuclei (Pergamon, London, 1976).
38. A. Bohr and B. R. Mottelson, Nuclear Structure (Benjamin, New York, 1969), Vol. I.
39. J. Kvasil, N. Lo Iudice, V. O. Nesterenko, and M. Kopál, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.58.209 58, 209 (1998).
40. T. Kishimoto, J. M. Moss, D. H. Youngblood, J. D. Bronson, C. M. Rozsa, D. R. Brown, and A. D. Bacher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.35.552 35, 552 (1975);
41. S. Åberg, Phys. Lett. PYLBAJ 0370-2693 10.1016/0370-2693(85)91201-8 B157, 9 (1985);
42. H. Sakamoto and T. Kishimoto, Nucl. Phys. NUPABL 0375-9474 10.1016/0375-9474(89)90290-X A501, 205 (1989).
43. R. Wyss, W. Satula, W. Nazarewicz, and A. Johnson, Nucl. Phys. NUPABL 0375-9474 10.1016/0375-9474(90)90163-G A511, 324 (1990).
44. D. Almehed, F. Dönau, and R. G. Nazmitdinov, J. Phys. G: Nucl. Part. Phys. JPGPED 0954-3899 10.1088/0954-3899/29/9/314 29, 2193 (2003).
45. http://www.nndc.bnl.gov/nudat2/
46. S. Frauendorf and F. R. May, Phys. Lett. PYLBAJ 0370-2693 10.1016/0370-2693(83)91277-7 B125, 245 (1983).
47. A. K. Yain, R. K. Sheline, P. C. Sood, and K. Yain, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.62.393 62, 393 (1990).
48. J. Kvasil, N. Lo Iudice, R. G. Nazmitdinov, A. Porrino, and F. Knapp, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.69.064308 69, 064308 (2004).
49. M. Matsuzaki, Y. R. Shimizu, and K. Matsuyanagi, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.65.041303 65, 041303(R) (2002).
50. M. Matsuzaki, Y. R. Shimizu, and K. Matsuyanagi, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.69.034325 69, 034325 (2004).
51. Y. R. Shimizu and M. Matsuzaki, Nucl. Phys. NUPABL 0375-9474 10.1016/0375-9474(94)00823-6 A558, 559 (1995).
52. R. Bengtsson, S. Frauendorf, and F. R. May, At. Data Nucl. Data Tables ADNDAT 0092-640X 10.1016/0092-640X(86)90028-8 35, 15 (1986).
53. According to the previous version of database, the energy level with ω=0.675 MeV was assigned to the state K=2. In this case Ωcr=ωK=2/2=0.340 MeV, which is closer to the critical rotational frequency â"Ωcr=0.301 MeV. In the updated version, this energy level is considered as K=0 state. The resolution of this point could be useful in establishing the relation between the critical rotational and vibrational frequencies.
54. E. R. Marshalek and R. G. Nazmitdinov, Phys. Lett. PYLBAJ 0370-2693 10.1016/0370-2693(93)90353-J B300, 199 (1993).
55. E. R. Marshalek, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.54.159 54, 159 (1996).
56. J. A. Krumhansl and R. J. Gooding, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.39.3047 39, 3047 (1989).
57. S. Frauendorf, Phys. Scr. 24, 349 (1981).
58. S. T. Belyaev, in Selected Topics in Nuclear Theory, edited by, F. Janouch, (IAEA, Vienna, 1963), p. 291;
59. S. T. Belyaev, Nucl. Phys. NUPABL 0375-9474 10.1016/0029-5582(61)90384-4 24, 322 (1961).
60. A. B. Migdal, Nucl. Phys. NUPABL 0375-9474 10.1016/0029-5582(59)90264-0 13, 655 (1959).
61. J. Kvasil, S. Cwiok, and B. Choriev, Z. Phys. A ZAANEE 0930-1151 10.1007/BF01421529 303, 313 (1981).
62. E. R. Marshalek, Nucl. Phys. NUPABL 0375-9474 10.1016/0375-9474(76)90361- 4 A266, 317 (1976);
63. E. R. Marshalek, Nucl. Phys. 0375-9474 10.1016/0375-9474(77)90461-4 A275, 416 (1977).
64. B. Castel and I. Hamamoto, Phys. Lett. PYLBAJ 0370-2693 10.1016/0370-2693(76)90526-8 B65, 27 (1976).
65. R. G. Nazmitdinov, Yad. Fiz. IDFZA7 0044-0027 46, 732 (1987)
66. R. G. Nazmitdinov, [Sov. J. Nucl. Phys. 46, 412 (1987)].