Configuration mixing within the energy density functional formalism: Removing spurious contributions from nondiagonal energy kernels

Physical Review C - Nuclear Physics

Volumn 79, Issue 4, 2009, Pages

  Lacroix, D ^a,b   Duguet, T ^a,c,d   Bender, M ^e,f  

^a NATIONAL SCIENCE FOUNDATION   (United States)

^b DIF   (France)

^c MICHIGAN STATE UNIVERSITY   (United States)

^d CEA SACLAY   (France)

^e UNIVERSITÉ DE BORDEAUX   (France)

^f CENTRE D ETUDES NUCLÉAIRES DE BORDEAUX GRADIGNAN   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 65749097250     PISSN: 05562813     EISSN: 1089490X     Source Type: Journal    
DOI: 10.1103/PhysRevC.79.044318     Document Type: Article

References (98)

1. M. Bender, P.-H. Heenen, and P.-G. Reinhard, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.75.121 75, 121 (2003). (Pubitemid 36539840)
2. P. Hohenberg and W. Kohn, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.136.B864 136, B864 (1964).
3. W. Kohn and L. J. Sham, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.140. A1133 140, A1133 (1965).
4. W. Kohn, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.71.1253 71, 1253 (1998).
5. A. Nagy, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(97)00083-5 298, 1 (1998).
6. R. M. Dreizler and E. K. U. Gross, Density Functional Theory: An Approach to the Quantum Many-Body Problem (Springer-Verlag, Berlin, 1990).
7. R. G. Parr and W. Yang, Density-Functional Theory of Atoms and Molecules (Clarendon, Oxford, UK, 1989).
8. C. Fiolhais, F. Nogueira, and M. Marques, eds., Lecture Notes in Physics: A Primer in Density Functional Theory (Springer, Berlin/Heidelberg, 2003), Vol. 620.
9. W. Koch and M. C. Holthausen, A Chemist's Guide to Density Functional Theory (Wiley-VCH, Weinheim, 2001).
10. M. Beiner and R. J. Lombard, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/0003-4916(74)90142-0 86, 262 (1974).
11. I. Z. Petkov and M. V. Stoitsov, Nuclear Density Functional Theory (Clarendon, Oxford, UK, 1989).
12. S. A. Fayans, S. V. Tolokonnikov, E. L. Trykov, and D. Zawischa, Nucl. Phys. NUPABL 0375-9474 10.1016/S0375-9474(00)00192-5 A676, 49 (2000).
13. G. A. Lalazissis, P. Ring, and D. Vretenar, eds., Lecture Notes in Physics: Extended Density Functionals in Nuclear Physics (Springer, Berlin/Heidelberg, 2004), Vol. 641.
14. Y. Yu and A. Bulgac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.222501 90, 222501 (2003).
15. R. J. Furnstahl, J. Phys. G 0954-3899 10.1088/0954-3899/31/8/014 31, S1357 (2005). (Pubitemid 41019047)
16. J. Engel, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.75.014306 75, 014306 (2007).
17. E. K. U. Gross, L. N. Oliveira, and W. Kohn, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.37.2809 37, 2809 (1988).
18. A. Görling, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.47.2783 47, 2783 (1993).
19. T. Leininger, H. Stoll, H.-J. Werner, and A. Savin, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/S0009-2614(97)00758-6 275, 151 (1997).
20. A. Harju, E. Räsänen, H. Saarikoski, M. J. Puska, R. M. Nieminen, and K. Niemelä, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.153101 69, 153101 (2004).
21. E. Orestes, K. Capelle, A. B. F. da Silva, and C. A. Ullrich, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2768368 127, 124101 (2007). (Pubitemid 47502644)
22. R. Balian and E. Brézin, Nuovo Cimento 0369-3554 10.1007/BF02710281 64, 37 (1969).
23. F. Dönau, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.58.872 58, 872 (1998). (Pubitemid 128115595)
24. D. Almehed, S. Frauendorf, and F. Dönau, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.63.044311 63, 044311 (2001). (Pubitemid 33255606)
25. M. Anguiano, J. L. Egido, and L. M. Robledo, Nucl. Phys. NUPABL 0375-9474 10.1016/S0375-9474(01)01219-2 A696, 467 (2001). (Pubitemid 33376480)
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. H. Flocard and N. Onishi, Ann. Phys. (NY) APNYA6 0003-4916 10.1006/aphy.1996.5572 254, 275 (1997). (Pubitemid 127341142)
28. M. Bender, T. Duguet, and D. Lacroix Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.79.044319 79, 044319 (2009).
29. 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).
30. H. Zduńczuk, J. Dobaczewski, and W. Satuła, Int. J. Mod. Phys. E IMPEER 0218-3013 10.1142/S0218301307005806 16, 377 (2007).
31. N. Tajima, H. Flocard, P. Bonche, J. Dobaczewski, and P.-H. Heenen, Nucl. Phys. NUPABL 0375-9474 10.1016/0375-9474(92)90101-O A542, 355 (1992).
32. E. M. Henley and L. Wilets, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.133.B1118 133, B1118 (1964).
33. V. Klemt, S. A. Moszkowski, and J. Speth, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.14.302 14, 302 (1976).
34. H. J. Mang, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(75)90012-5 18, 327 (1975).
35. C. W. Wong, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(75)90036-8 15, 283 (1975).
36. P. Ring and P. Schuck, The Nuclear Many-Body Problem (Springer-Verlag, New York, 1980).
37. J. A. Sheikh and P. Ring, Nucl. Phys. NUPABL 0375-9474 10.1016/S0375-9474(99)00424-8 A665, 71 (2000).
38. T. Duguet (2006), unpublished.
39. L. M. Robledo, Int. J. Mod. Phys. E IMPEER 0218-3013 10.1142/ S0218301307005776 16, 337 (2007).
40. J. G. Valatin, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.122.1012 122, 1012 (1961).
41. G. C. Wick, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.80.268 80, 268 (1950).
42. H. A. Bethe, Annu. Rev. Nucl. Sci. ARNUA8 0066-4243 10.1146/annurev.ns. 21.120171.000521 21, 93 (1971).
43. S. K. Bogner, A. Schwenk, R. J. Furnstahl, and A. Nogga, Nucl. Phys. NUPABL 0375-9474 10.1016/j.nuclphysa.2005.08.024 A763, 59 (2005). (Pubitemid 41700487)
44. P. Grangé, A. Lejeune, M. Martzolff, and J.-F. Mathiot, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.40.1040 40, 1040 (1989).
45. S. C. Pieper and R. B. Wiringa, Annu. Rev. Nucl. Part. Sci. 0066-4243 10.1146/annurev.nucl.51.101701.132506 51, 53 (2001). (Pubitemid 33571570)
46. W. Zuo, A. Lejeune, U. Lombardo, and J. Mathiot, Eur. Phys. J. A EPJAFV 1434-6001 10.1140/epja/i2002-10031-y 14, 469 (2002). (Pubitemid 36208688)
47. J. Kuros-Zolnierczuk, H. Witala, J. Golak, H. Kamada, A. Nogga, R. Skibinski, and W. Glockle, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.66. 024003 66, 024003 (2002).
48. E. Caurier, G. Martinez-Pinedo, F. Nowacki, A. Poves, and A. P. Zuker, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.77.427 77, 427 (2005).
49. W. Kohn and L. J. Sham, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.140. A1133 140, A1133 (1965).
50. J. Dechargé and D. Gogny, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.21.1568 21, 1568 (1980).
51. D. Vautherin and D. M. Brink, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.5.626 5, 626 (1972).
52. D. Vretenar, A. V. Afanasjev, G. A. Lalazissis, and P. Ring, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2004.10.001 409, 101 (2005). (Pubitemid 40344521)
53. P. Lykos and G. W. Pratt, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.35.496 35, 496 (1963).
54. D. L. Hill and J. A. Wheeler, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.89.1102 89, 1102 (1953).
55. J. J. Griffin and J. A. Wheeler, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.108.311 108, 311 (1957).
56. R. R. Rodriguez-Guzmán and K. W. Schmid, Eur. Phys. J. A EPJAFV 1434-6001 10.1140/epja/i2003-10108-1 19, 45 (2004). (Pubitemid 38142980)
57. R. R. Rodriguez-Guzmán and K. W. Schmid, Eur. Phys. J. A 1434-6001 10.1140/epja/i2003-10109-0 19, 61 (2004). (Pubitemid 38142981)
58. K. Burzynski and J. Dobaczewski, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.51.1825 51, 1825 (1995).
59. K. Enami, K. Tanabe, and N. Yoshinaga, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.59.135 59, 135 (1999).
60. K. Enami, K. Tanabe, and N. Yoshinaga, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.63.044322 63, 044322 (2001). (Pubitemid 33255617)
61. K. Enami, K. Tanabe, and N. Yoshinaga, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.65.064308 65, 064308 (2002).
62. K. W. Schmid and F. Grümmer, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/50/6/003 50, 731 (1987).
63. K. W. Schmid, Prog. Part. Nucl. Phys. PPNPDB 0146-6410 10.1016/j.ppnp.2004.02.001 52, 565 (2004).
64. F. Dönau, K. W. Schmid, and F. Grümmer, Nucl. Phys. NUPABL 0375-9474 10.1016/0375-9474(92)90284-Q A539, 403 (1992).
65. P.-G. Reinhard and C. Toepffer, Int. J. Mod. Phys. E 0218-3013 10.1142/S0218301394000139 3, 435 (1994).
66. R. Rodriguez-Guzman, J. L. Egido, and L. M. Robledo, Nucl. Phys. NUPABL 0375-9474 10.1016/S0375-9474(02)01019-9 A709, 201 (2002).
67. P. Bonche, J. Dobaczewski, H. Flocard, P. H. Heenen, and J. Meyer, Nucl. Phys. NUPABL 0375-9474 10.1016/0375-9474(90)90062-Q A510, 466 (1990).
68. P.-H. Heenen, P. Bonche, J. Dobaczewski, and H. Flocard, Nucl. Phys. NUPABL 0375-9474 10.1016/0375-9474(93)90017-R A561, 367 (1993).
69. M. Bender and P.-H. Heenen, Nucl. Phys. NUPABL 0375-9474 10.1016/S0375-9474(02)01308-8 A713, 390 (2003).
70. T. Duguet, M. Bender, P. Bonche, and P.-H. Heenen, Phys. Lett. PYLBAJ 0370-2693 10.1016/S0370-2693(03)00330-7 B559, 201 (2004).
71. M. Bender, P. Bonche, T. Duguet, and P.-H. Heenen, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.69.064303 69, 064303 (2004). (Pubitemid 39109156)
72. J. L. Egido and L. M. Robledo, in Extended Density Functionals in Nuclear Physics, edited by, G. A. Lalazissis, P. Ring, and, D. Vretenar, Lecture Notes in Physics 641 (Springer, Berlin, 2004), p. 269.
73. D. Baye and P.-H. Heenen, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.29.1056 29, 1056 (1984).
74. J. L. Egido and L. R. Robledo, Nucl. Phys. NUPABL 0375-9474 10.1016/0375-9474(91)90016-Y A524, 65 (1991).
75. P.-H. Heenen, J. Skalski, P. Bonche, and H. Flocard, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.50.802 50, 802 (1994).
76. S. Grimme, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/0009-2614(96)00722- 1 259, 128 (1996).
77. S. Grimme and M. Waletzke, J. Phys. Chem. 0021-9606 10.1063/1.479866 111, 5645 (1999).
78. K. Neergård and E. Wüst, Nucl. Phys. NUPABL 0375-9474 10.1016/0375-9474(83)90501-8 A402, 311 (1983).
79. J. Dobaczewski, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.62.017301 62, 017301 (2000).
80. P. Ring, R. Beck, and H. J. Mang, Z. Phys. 1434-6001 10.1007/BF01394546 231, 10 (1970).
81. B. Banerjee, H. J. Mang, and P. Ring, Z. Phys. A215, 366 (1973).
82. C. Bloch and A. Messiah, Nucl. Phys. NUPABL 0375-9474 10.1016/0029-5582(62)90377-2 39, 95 (1962).
83. B. Zumino, J. Math. Phys. 0022-2488 10.1063/1.1724294 3, 1055 (1962).
84. D. J. Thouless, Nucl. Phys. NUPABL 0375-9474 10.1016/0029-5582(60)90048-1 21, 225 (1961).
85. N. Onishi and S. Yoshida, Nucl. Phys. NUPABL 0375-9474 10.1016/0029-5582(66)90096-4 80, 367 (1966).
86. K. Hara, A. Hayashi, and P. Ring, Nucl. Phys. NUPABL 0375-9474 10.1016/0375-9474(82)90486-9 A385, 14 (1982).
87. A. Valor, P.-H. Heenen, and P. Bonche, Nucl. Phys. NUPABL 0375-9474 10.1016/S0375-9474(99)00830-1 A671, 145 (2000).
88. M. Oi and N. Tajima, Phys. Lett. PYLBAJ 0370-2693 10.1016/j.physletb. 2004.10.063 B606, 43 (2005).
89. J. P. Perdew and A. Zunger, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.23.5048 23, 5048 (1981).
90. C. A. Ullrich, P.-G. Reinhard, and E. Suraud, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.053202 62, 053202 (2000).
91. C. Legrand, E. Suraud, and P.-G. Reinhard, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/35/4/333 35, 1115 (2002). (Pubitemid 34222083)
92. A. Ruzsinsky, J. P. Perdew, G. I. Csonka, O. A. Vydrov, and G. E. Scuseria, J. Phys. Chem. 0021-9606 10.1063/1.2566637 126, 104102 (2007). (Pubitemid 46440077)
93. J. Tao, J. P. Perdew, V. N. Staroverov, and G. E. Scuseria, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.146401 91, 146401 (2003).
94. E. Engel, Lecture Notes in Physics: A Primer in Density Functional Theory (Springer, Berlin, 2003), Vol. 620.
95. S. Kümmel and L. Kronik, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.3 80, 3 (2008).
96. O. A. Vydrov, G. E. Scuseria, and J. P. Perdew, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2723119 126, 154109 (2007). (Pubitemid 46644911)
97. S. Stringari and D. M. Brink, Nucl. Phys. NUPABL 0375-9474 10.1016/0375-9474(78)90240-3 A304, 307 (1978).
98. K. Rutz, M. Bender, P.-G. Reinhard, and J. A. Maruhn, Phys. Lett. PYLBAJ 0370-2693 10.1016/S0370-2693(99)01190-9 B468, 1 (1999).