Formulating the interacting boson model by mean-field methods

Physical Review C - Nuclear Physics

Volumn 81, Issue 4, 2010, Pages

  Nomura, Kosuke ^a   Shimizu, Noritaka ^a   Otsuka, Takaharu ^a,b  

^a UNIVERSITY OF TOKYO   (Japan)

^b MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77951131814     PISSN: 05562813     EISSN: 1089490X     Source Type: Journal    
DOI: 10.1103/PhysRevC.81.044307     Document Type: Article

References (88)

1. A. Bohr and B. R. Mottelson, Nuclear Structure (Benjamin, New York, 1969 and 1975), Vols. I and II.
2. P. Ring and P. Schuck, The Nuclear Many-Body Problem (Springer, Berlin, 1980).
3. A. Arima and F. Iachello, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.35.1069 35, 1069 (1975).
4. F. Iachello and A. Arima, The Interacting Boson Model (Cambridge University Press, Cambridge, 1987).
5. T. Otsuka, A. Arima, F. Iachello, and I. Talmi, Phys. Lett. B PYLBAJ 0370-2693 10.1016/0370-2693(78)90260-5 76, 139 (1978).
6. T. Otsuka, A. Arima, and F. Iachello, Nucl. Phys. A NUPABL 0375-9474 10.1016/0375-9474(78)90532-8 309, 1 (1978).
7. A. Arima and F. Iachello, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/0003-4916(76)90097-X 99, 253 (1976).
8. A. Arima and F. Iachello, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/0003-4916(78)90228-2 111, 201 (1978).
9. A. Arima and F. Iachello, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/0003-4916(79)90347-6 123, 468 (1979).
10. T. Otsuka, in Algebraic Approaches to Nuclear Structure, edited by, R. F. Casten, (Harwood, Chur, 1993), p. 195.
11. T. Mizusaki and T. Otsuka, Prog. Theor. Phys. Suppl. PTPSAL 0375-9687 10.1143/PTPS.125.97 125, 97 (1997).
12. M. Deleze, S. Drissi, J. Kern, P. A. Tercier, J. P. Vorlet, J. Rikovska, T. Otsuka, S. Judge, and A. Williams, Nucl. Phys. A NUPABL 0375-9474 10.1016/0375-9474(93)90482-D 551, 269 (1993).
13. K. Allaart, G. Bonsignori, M. Savoia, and V. Paar, Nucl. Phys A NUPABL 0375-9474 10.1016/0375-9474(86)90043-6 458, 412 (1986).
14. Y. K. Gambhir, P. Ring, and P. Schuck, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.25.2858 25, 2858 (1982).
15. O. Scholten, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.28.1783 28, 1783 (1983).
16. T. Otsuka, Phys. Lett. B PYLBAJ 0370-2693 10.1016/0370-2693(84)91859-8 138, 1 (1984).
17. T. Otsuka and N. Yoshinaga, Phys. Lett. B PYLBAJ 0370-2693 10.1016/0370-2693(86)91448-6 168, 1 (1986).
18. G. Puddu, O. Scholten, and T. Otsuka, Nucl. Phys. A NUPABL 0375-9474 10.1016/0375-9474(80)90548-5 348, 109 (1980).
19. P. Van Isacker and G. Puddu, Nucl. Phys. A NUPABL 0375-9474 10.1016/0375-9474(80)90549-7 348, 125 (1980).
20. U. Kaup and A. Gelberg, Z. Phys. A ZPAADB 0340-2193 10.1007/BF01435273 293, 311 (1979).
21. P. D. Duval and B. R. Barrett, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.23.492 23, 492 (1981).
22. R. Bijker, A. E. L. Dieperink, O. Scholten, and R. Spanhoff, Nucl. Phys. A NUPABL 0375-9474 10.1016/0375-9474(80)90673-9 344, 207 (1980).
23. T. H. R. Skyrme, Nucl. Phys. NUPHA7 0029-5582 10.1016/0029-5582(58)90345- 6 9, 615 (1959).
24. D. Vautherin and D. M. Brink, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.5.626 5, 626 (1972).
25. M. Bender, P.-H. Heenen, and P.-G. Reinhard, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.75.121 75, 121 (2003).
26. J. Dobaczewski, M. V. Stoitsov, W. Nazarewicz, and P.-G. Reinhard, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.76.054315 76, 054315 (2007).
27. M. Bender, P. Bonche, T. Duguet, and P.-H. Heenen, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.69.064303 69, 064303 (2004).
28. M. Bender and P.-H. Heenen, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.78.024309 78, 024309 (2008).
29. M. Bender, G. F. Bertsch, and P.-H. Heenen, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.73.034322 73, 034322 (2006).
30. D. Lacroix, T. Duguet, and M. Bender, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.79.044318 79, 044318 (2009);
31. M. Bender, T. Duguet, and D. Lacroix, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.79.044319 79, 044319 (2009);
32. T. Duguet, M. Bender, K. Bennaceur, D. Lacroix, and T. Lesinski, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.79.044320 79, 044320 (2009).
33. P. Bonche, J. Dobaczewski, H. Flocard, P.-H. Heenen, and J. Meyer, Nucl. Phys. A NUPABL 0375-9474 10.1016/0375-9474(90)90062-Q 510, 466 (1990).
34. K. Nomura, N. Shimizu, and T. Otsuka, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.142501 101, 142501 (2008).
35. P. Bonche, H. Flocard, and P.-H. Heenen, Comput. Phys. Commun. CPHCBZ 0010-4655 10.1016/j.cpc.2005.05.001 171, 49 (2005).
36. P. Bonche, H. Flocard, P.-H. Heenen, S. J. Krieger, and M. S. Weiss, Nucl. Phys. A NUPABL 0375-9474 10.1016/0375-9474(85)90320-3 443, 39 (1985).
37. E. Chabanat, P. Bonche, P. Haensel, J. Meyer, and R. Schaeffer, Nucl. Phys. A NUPABL 0375-9474 10.1016/S0375-9474(98)00180-8 635, 231 (1998).
38. J. Bartel, Ph. Quentin, M. Brack, C. Guet, and H.-B. Håkansson, Nucl. Phys. A NUPABL 0375-9474 10.1016/0375-9474(82)90403-1 386, 79 (1982).
39. H. J. Lipkin, Ann. Phys. APNYA6 0003-4916 10.1016/0003-4916(60)90032-4 9, 272 (1960).
40. Y. Nogami, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.134.B313 134, B313 (1964).
41. H. C. Pradhan, Y. Nogami, and J. Law, Nucl. Phys. A NUPABL 0375-9474 10.1016/0375-9474(73)90071-7 201, 357 (1973).
42. A. E. L. Dieperink and O. Scholten, Nucl. Phys. A NUPABL 0375-9474 10.1016/0375-9474(80)90492-3 346, 125 (1980).
43. J. N. Ginocchio and M. Kirson, Nucl. Phys. A NUPABL 0375-9474 10.1016/0375-9474(80)90387-5 350, 31 (1980).
44. A. Bohr and B. R. Mottelson, Phys. Scr. PHSTBO 0031-8949 10.1088/0031-8949/22/5/008 22, 468 (1980).
45. P. Van Isacker and J.-Q. Chen, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.24.684 24, 684 (1981).
46. T. Otsuka and N. Yoshida, JAERI-M Report 85, 1985.
47. O. Scholten, F. Iachello, and A. Arima, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/0003-4916(78)90159-8 115, 325 (1978).
48. T. Otsuka, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.46.710 46, 710 (1981);
49. T. Otsuka and J. N. Ginocchio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.55.276 55, 276 (1985).
50. Brookhaven National Nuclear Data Center (NNDC) http://www.nndc.bnl.gov/ nudat2/index.jsp.
51. F. Iachello, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87. 052502 87, 052502 (2001).
52. R. F. Casten and N. V. Zamfir, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.052503 87, 052503 (2001).
53. T. Nikšić, D. Vretenar, G. A. Lalazissis, and P. Ring, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.092502 99, 092502 (2007).
54. For instance, R. R. Rodriguez-Guzman, J. L. Egido, and L. M. Robledo, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.69.054319 69, 054319 (2004).
55. G. Kaiser, A Friendly Guide to Wavelets (Boston Birkhäuser, 1994).
56. C. Torrence and G. P. Compo, Bull. Am. Meteorol. Soc. BAMIAT 0003-0007 10.1175/1520-0477(1998)079<0061:APGTWA>2.0.CO;2 79, 61 (1998).
57. A. Shevchenko, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.77.024302 77, 024302 (2008).
58. M. R. Bhat, Nucl. Data Sheets NDTSBA 0090-3752 10.1006/ndsh.2000.0006 89, 797 (2000);
59. H. G. Börner, P. Mutti, M. Jentschel, N. V. Zamfir, R. F. Casten, E. A. McCutchan, and R. Krüken, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.73.034314 73, 034314 (2006);
60. W. D. Kulp, J. L. Wood, J. M. Allmond, J. Eimer, D. Furse, K. S. Krane, J. Loats, P. Schmelzenbach, C. J. Stapels, R.-M. Larimer, E. B. Norman, and A. Piechaczek, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.76.034319 76, 034319 (2007);
61. C. W. Reich, Nucl. Data Sheets NDTSBA 0090-3752 10.1016/j.nds.2009.09.001 110, 2257 (2009).
62. WWW Table of Atomic Masses; http://ie.lbl.gov/toi2003/MassSearch.asp.
63. F. Iachello, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85. 3580 85, 3580 (2000).
64. T. Otsuka and M. Sugita, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.59.1541 59, 1541 (1987).
65. S. Mukhopadhyay, M. Scheck, B. Crider, S. N. Choudry, E. Elhami, E. Peters, M. T. McEllistrem, J. N. Orce, and S. W. Yates, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.78.034317 78, 034317 (2008);
66. A. A. Sonzogni, Nucl. Data Sheets NDTSBA 0090-3752 10.1016/j.nds.2004.11. 001 103, 1 (2004);
67. T. Ahn, L. Coquard, N. Pietralla, G. Rainovski, A. Costin, R. V. F. Janssens, C. J. Lister, M. Carpenter, S. Zhu, and K. Heyde, Phys. Lett. B PYLBAJ 0370-2693 10.1016/j.physletb.2009.06.066 679, 19 (2009);
68. Yu. Khazov, A. A. Rodionov, S. Sakharov, and B. Singh, Nucl. Data Sheets NDTSBA 0090-3752 10.1016/j.nds.2005.03.001 104, 497 (2005);
69. A. Gade, I. Wiedenhöver, H. Meise, A. Gelberg, and P. von Brentano, Nucl. Phys. A NUPABL 0375-9474 10.1016/S0375-9474(01)01247-7 697, 75 (2002);
70. L. Coquard, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.80.061304 80, 061304 (R) (2009);
71. M. Kanbe and K. Kitao, Nucl. Data Sheets NDTSBA 0090-3752 10.1006/ndsh.2001.0019 94, 227 (2001);
72. S. Pascu, Gh. Cata-Danil, D. Bucurescu, N. Marginean, N. V. Zamfir, G. Graw, A. Gollwitzer, D. Hofer, and B. D. Valnion, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.79.064323 79, 064323 (2009);
73. J. Katakura and Z. D. Wu, Nucl. Data Sheets NDTSBA 0090-3752 10.1016/j.nds.2008.06.001 109, 1655 (2008);
74. T. Tamura, Nucl. Data Sheets NDTSBA 0090-3752 10.1016/j.nds.2007.02.001 108, 455 (2007);
75. K. Kitao, Y. Tendow, and A. Hashizume, Nucl. Data Sheets NDTSBA 0090-3752 10.1006/ndsh.2002.0012 96, 241 (2002);
76. K. Kitao, Nucl. Data Sheets NDTSBA 0090-3752 10.1006/ndsh.1995.1022 75, 99 (1995).
77. R. F. Casten and N. V. Zamfir, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.3584 85, 3584 (2000).
78. K. Heyde, P. Van Isacker, M. Waroquier, and J. Moreau, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.29.1420 29, 1420 (1984).
79. I. Stefanescu, Nucl. Phys. A NUPABL 0375-9474 10.1016/j.nuclphysa.2007. 03.007 789, 125 (2007).
80. B. Sorgunlu and P. Van Isacker, Nucl. Phys. A NUPABL 0375-9474 10.1016/j.nuclphysa.2008.05.007 808, 27 (2008).
81. E. Williams, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.74.024302 74, 024302 (2006);
82. B. Singh, Nucl. Data Sheets NDTSBA 0090-3752 10.1016/j.nds.2008.01.001 109, 297 (2008);
83. D. De Frenne, Nucl. Data Sheets NDTSBA 0090-3752 10.1016/j.nds.2009.06. 002 110, 1745 (2009);
84. J. Blanchot, Nucl. Data Sheets NDTSBA 0090-3752 10.1016/j.nds.2007.09.001 108, 2035 (2007);
85. J. Srebrby, Nucl. Phys. A NUPABL 0375-9474 10.1016/j.nuclphysa.2005.11. 013 766, 25 (2006);
86. D. De Frenne and A. Negret, Nucl. Data Sheets NDTSBA 0090-3752 10.1016/j.nds.2008.03.002 109, 943 (2008);
87. J. Blachot, Nucl. Data Sheets NDTSBA 0090-3752 10.1006/ndsh.2000.0017 91, 135 (2000);
88. D. De Frenne and E. Jacobs, Nucl. Data Sheets NDTSBA 0090-3752 10.1006/ndsh.2000.0004 89, 481 (2000).