Spectral properties of a tractable collective Hamiltonian

Physical Review C - Nuclear Physics

Volumn 79, Issue 3, 2009, Pages

  De Baerdemacker, S ^a,b   Heyde, K ^a   Hellemans, V ^c,d  

^a GHENT UNIVERSITY   (Belgium)

^b UNIVERSITY OF TORONTO   (Canada)

^c UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^d UNIVERSITY OF NOTRE DAME   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 63149099829     PISSN: 05562813     EISSN: 1089490X     Source Type: Journal    
DOI: 10.1103/PhysRevC.79.034305     Document Type: Article

References (74)

1. D. J. Rowe, Nuclear Collective Motion (Methuen, London, 1970).
2. A. Bohr and B. Mottelson, Nuclear Structure, Vol. 2 (World Scientific, Singapore, 1998).
3. E. Caurier, Prog. Part. Nucl. Phys. PPNPDB 0146-6410 10.1016/j.ppnp.2006. 12.012 59, 226 (2007).
4. D. Vautherin and D. M. Brink, Phys. Lett. PYLBAJ 0370-2693 10.1016/0370-2693(70)90458-2 B32, 149 (1970).
5. D. Gogny, in Proceedings of the International Conference on Nuclear Physics, edited by, J. de Boer, and, H. J. Mang, (North Holland, Amsterdam, 1973), p. 48.
6. J. D. Walecka, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/0003-4916(74) 90208-5 83, 491 (1974).
7. M. Bender, P.-H. Heenen, and P.-G. Reinhard, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.75.121 75, 121 (2003).
8. P. Ring, Prog. Part. Nucl. Phys. PPNPDB 0146-6410 10.1016/0146-6410(96) 00054-3 37, 193 (1996).
9. F. Iachello and A. Arima, The Interacting Boson Model (Cambridge University Press, Cambridge, 1987).
10. J. N. Ginocchio and M. W. Kirson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.44.1744 44, 1744 (1980).
11. A. E. L. Dieperink, O. Scholten, and F. Iachello, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.44.1747 44, 1747 (1980).
12. A. Bohr and B. R. Mottelson, Phys. Scr. PHSTBO 0031-8949 10.1088/0031-8949/22/5/008 22, 468 (1980).
13. O. S. van Roosmalen, Algebraic Description of Nuclear and Molecular Rotation-Vibration Spectra, Ph.D. thesis, Universiteit Groningen, 1982.
14. J. Rainwater, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.79.432 79, 432 (1950).
15. A. Bohr, Mat. Fys. Medd. K. Dan. Vidensk. Selsk. 26, 1 (1952).
16. A. Bohr and B. R. Mottelson, Mat. Fys. Medd. K. Dan. Vidensk. Selsk. 27, 2 (1953).
17. F. Iachello, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85. 3580 85, 3580 (2000).
18. F. Iachello, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87. 052502 87, 052502 (2001).
19. F. Iachello, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91. 132502 91, 132502 (2003).
20. L. Fortunato, Eur. Phys. J. A EPJAFV 1434-6001 10.1140/epjad/i2005-07- 115-8 26, 1 (2005).
21. D. Bonatsos, D. Lenis, and D. Petrellis, Rom. Rep. Phys. 59, 273 (2007).
22. J. Jolie, R. F. Casten, P. von Brentano, and V. Werner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.162501 87, 162501 (2001).
23. 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).
24. A. Leviatan and J. N. Ginocchio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.212501 90, 212501 (2003).
25. F. Iachello and N. V. Zamfir, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.212501 92, 212501 (2004).
26. A. Leviatan, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.72.031305 72, 031305 (R) (2005).
27. A. Leviatan, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.74.051301 74, 051301 (R) (2006).
28. P. Cejnar and J. Jolie, Prog. Part. Nucl. Phys. 0146-6410 10.1016/j.ppnp.2008.08.001 62, 210 (2009).
29. P. Cejnar, S. Heinze, and J. Jolie, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.68.034326 68, 034326 (2003).
30. D. J. Rowe, Nucl. Phys. NUPABL 0375-9474 10.1016/j.nuclphysa.2004.09.007 A745, 47 (2004).
31. G. Rosensteel and D. J. Rowe, Nucl. Phys. NUPABL 0375-9474 10.1016/j.nuclphysa.2005.05.144 A759, 92 (2005).
32. J. E. García-Ramos, J. Dukelsky, and J. M. Arias, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.72.037301 72, 037301 (2005).
33. S. Heinze, P. Cejnar, J. Jolie, and M. Macek, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.73.014306 73, 014306 (2006).
34. G. Thiamova and P. Cejnar, Nucl. Phys. NUPABL 0375-9474 10.1016/j.nuclphysa.2005.11.006 A765, 97 (2006).
35. R. Fossion, C. E. Alonso, J. M. Arias, L. Fortunato, and A. Vitturi, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.76.014316 76, 014316 (2007).
36. R. F. Casten and E. A. McCutchan, J. Phys. G JPHGBM 0954-3899 10.1088/0954-3899/34/7/R01 34, R256 (2007).
37. D. J. Rowe and G. Thiamova, Nucl. Phys. NUPABL 0375-9474 10.1016/j.nuclphysa.2005.06.001 A760, 59 (2005).
38. A. Faessler and W. Greiner, Z. Phys. 1434-6001 10.1007/BF01387041 168, 425 (1962).
39. J. M. Eisenberg and W. Greiner, Nuclear Models, Vol. 2 (North Holland, Amsterdam, 1987).
40. M. A. Caprio, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.68.054303 68, 054303 (2003).
41. D. J. Rowe, J. Phys. A: Math. Theor. 0305-4470 10.1088/0305-4470/38/47/ 009 38, 10181 (2005).
42. S. De Baerdemacker, K. Heyde, and V. Hellemans, J. Phys. A: Math. Theor. 1751-8113 10.1088/1751-8113/40/11/009 40, 2733 (2007).
43. S. De Baerdemacker, K. Heyde, and V. Hellemans, J. Phys. A: Math. Theor. 1751-8113 10.1088/1751-8113/41/30/304039 41, 304039 (2008).
44. G. Gneuss and W. Greiner, Nucl. Phys. NUPABL 0375-9474 10.1016/0375-9474(71)90596-3 A171, 449 (1971).
45. P. O. Hess, M. Seiwert, J. Maruhn, and W. Greiner, Z. Phys. A ZAANEE 0930-1151 10.1007/BF01412656 296, 147 (1980).
46. P. O. Hess, Ph.D. thesis, Goethe-Universität, 1980.
47. D. Troltenier, J. A. Maruhn, and P. O. Hess, Numerical Application of the Geometric Collective Model (Springer, Berlin, 1991).
48. D. Bès, Nucl. Phys. NUPABL 0375-9474 10.1016/0029-5582(59)90226-3 10, 373 (1959).
49. T. M. Corrigan, F. J. Margetan, and S. A. Williams, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.14.2279 14, 2279 (1976).
50. E. Chacón, M. Moshinsky, and R. T. Sharp, J. Math. Phys. 0022-2488 10.1063/1.522961 17, 668 (1976).
51. E. Chacón and M. Moshinsky, J. Math. Phys. 0022-2488 10.1063/1.523352 18, 870 (1977).
52. A. Gheorghe, A. A. Raduta, and V. Ceausescu, Nucl. Phys. NUPABL 0375-9474 10.1016/0375-9474(78)90070-2 A296, 228 (1978).
53. S. Szpikowski and A. Gód, Nucl. Phys. NUPABL 0375-9474 10.1016/0375-9474(80)90323-1 A340, 76 (1980).
54. A. Gód and S. Spikowski, Nucl. Phys. NUPABL 0375-9474 10.1016/0375-9474(80)90293-6 A349, 359 (1980).
55. D. J. Rowe, J. Math. Phys. 0022-2488 10.1063/1.530459 35, 3163 (1994).
56. D. J. Rowe, J. Math. Phys. 0022-2488 10.1063/1.530460 35, 3178 (1994).
57. D. J. Rowe and K. T. Hecht, J. Math. Phys. 0022-2488 10.1063/1.530915 36, 4711 (1995).
58. P. Turner, D. J. Rowe, and J. Repka, J. Math. Phys. 0022-2488 10.1063/1.2162332 47, 023507 (2006).
59. D. J. Rowe, Nucl. Phys. NUPABL 0375-9474 10.1016/j.nuclphysa.2004.02.018 A735, 372 (2004).
60. D. J. Rowe and P. Turner, Nucl. Phys. NUPABL 0375-9474 10.1016/j.nuclphysa.2005.01.032 A753, 94 (2005).
61. P. Turner, The algebraic collective nuclear model and SO(5), Ph.D. thesis, University of Toronto, 2005.
62. E. Cartan, Sur la structure des Groupes de Transformation Finis et continus, Ph.D. thesis, Ecole normale supérieure de Paris, 1894.
63. B. G. Wybourne, Classical Groups for Physicists (John Wiley, New York, 1974).
64. F. Iachello, Lie Algebras and Applications, Lecture Notes in Physics (Springer-Verlag, Berlin, 2006).
65. H. Ui, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/0003-4916(68)90184-X 49, 69 (1968).
66. A. Arima and F. Iachello, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/0003-4916(76)90097-X 99, 253 (1976).
67. G. Racah, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.61.186 61, 186 (1942).
68. E. Anderson, LAPACK Users' Guide, 3rd ed. (Society for Industrial and Applied Mathematics, Philadelphia, 1999).
69. F. J. Margetan and S. A. Williams, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.25.1602 25, 1602 (1982).
70. P. Petkov, A. Dewald, and W. Andrejtscheff, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.51.2511 51, 2511 (1995).
71. L. Wilets and M. Jean, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.102. 788 102, 788 (1956).
72. R. Casten, Algebraic Approaches to Nuclear Structure (Harwood, Chur, 1993).
73. J. E. García-Ramos and J. M. Arias, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.77.054307 77, 054307 (2008).
74. P. Turner and D. J. Rowe, Nucl. Phys. NUPABL 0375-9474 10.1016/j.nuclphysa.2005.04.003 A756, 333 (2005).