Self-consistent quasiparticle random phase approximation for the description of superfluid Fermi systems

Physical Review C - Nuclear Physics

Volumn 66, Issue 6, 2002, Pages 643151-6431521

  Rabhi, A ^a,b   Bennaceur, R ^a   Chanfray, G ^b   Schuck, P ^c  

^a FACULTÉ DES SCIENCES DE TUNIS   (Tunisia)

^b IPN Lyon ^*  (France)

^c CENTRE DE CALCUL DE L INSTITUT NATIONAL DE PHYSIQUE NUCLEAIRE ET DE PHYSIQUE DES PARTICULES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037001572     PISSN: 05562813     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevC.66.064315     Document Type: Article

References (53)

1. J.W. Clark, C.G. Källman, C.H. Yang, and D.A. Chakka Lakal, Phys. Lett. B 61, 331 (1976); K.E. Schmidt and V.R. Pandharipande, ibid. 87, 11 (1978); A.D. Jackson, E. Krotschek, D.E. Metner, and R.A. Smith, Nucl. Phys. A368, 125 (1982); S. Fantoni, Phys. Rev. B 29, 2544 (1984).
2. J.W. Clark, C.G. Källman, C.H. Yang, and D.A. Chakka Lakal, Phys. Lett. B 61, 331 (1976); K.E. Schmidt and V.R. Pandharipande, ibid. 87, 11 (1978); A.D. Jackson, E. Krotschek, D.E. Metner, and R.A. Smith, Nucl. Phys. A368, 125 (1982); S. Fantoni, Phys. Rev. B 29, 2544 (1984).
3. J.W. Clark, C.G. Källman, C.H. Yang, and D.A. Chakka Lakal, Phys. Lett. B 61, 331 (1976); K.E. Schmidt and V.R. Pandharipande, ibid. 87, 11 (1978); A.D. Jackson, E. Krotschek, D.E. Metner, and R.A. Smith, Nucl. Phys. A368, 125 (1982); S. Fantoni, Phys. Rev. B 29, 2544 (1984).
4. J.W. Clark, C.G. Källman, C.H. Yang, and D.A. Chakka Lakal, Phys. Lett. B 61, 331 (1976); K.E. Schmidt and V.R. Pandharipande, ibid. 87, 11 (1978); A.D. Jackson, E. Krotschek, D.E. Metner, and R.A. Smith, Nucl. Phys. A368, 125 (1982); S. Fantoni, Phys. Rev. B 29, 2544 (1984).
5. B.E. Vonderfecht, W.H. Dickhoff, A. Polls, and A. Ramos, Nucl. Phys. A555, 1 (1993); A. Polls, A. Ramos, J. Ventura, S. Amari, and W.H. Dickhoff, Phys. Rev. C 49, 3050 (1994).
6. B.E. Vonderfecht, W.H. Dickhoff, A. Polls, and A. Ramos, Nucl. Phys. A555, 1 (1993); A. Polls, A. Ramos, J. Ventura, S. Amari, and W.H. Dickhoff, Phys. Rev. C 49, 3050 (1994).
7. T.L. Ainsworth, J. Wambach, and D. Pines, Phys. Lett. B 222, 173 (1989); H.-J. Schulze, J. Cugnon, A. Lejeune, M. Baldo, and U. Lombardo, ibid. 375, 1 (1996); U. Lombardo, P. Schuck, and W. Zuo, Phys. Rev. C 64, 021301 (2001).
8. T.L. Ainsworth, J. Wambach, and D. Pines, Phys. Lett. B 222, 173 (1989); H.-J. Schulze, J. Cugnon, A. Lejeune, M. Baldo, and U. Lombardo, ibid. 375, 1 (1996); U. Lombardo, P. Schuck, and W. Zuo, Phys. Rev. C 64, 021301 (2001).
9. T.L. Ainsworth, J. Wambach, and D. Pines, Phys. Lett. B 222, 173 (1989); H.-J. Schulze, J. Cugnon, A. Lejeune, M. Baldo, and U. Lombardo, ibid. 375, 1 (1996); U. Lombardo, P. Schuck, and W. Zuo, Phys. Rev. C 64, 021301 (2001).
10. H. Kucharck, P. Ring, P. Schuck, R. Bengtsson, and M. Girod, Phys. Lett. B 216, 249 (1989); G. Röpke, A. Schnell, P. Schuck, and U. Lombardo, Phys. Rev. C 61, 024306 (2000).
11. H. Kucharck, P. Ring, P. Schuck, R. Bengtsson, and M. Girod, Phys. Lett. B 216, 249 (1989); G. Röpke, A. Schnell, P. Schuck, and U. Lombardo, Phys. Rev. C 61, 024306 (2000).
12. E. Garrido, P. Sarriguren, E. Moya de Guerra, U. Lombardo, P. Schuck, and H.-J. Schulze, Phys. Rev. C 63, 037304 (2001).
13. P. Schuck, Z. Phys. 241, 395 (1971); P. Schuck and S. Ethofer, Nucl. Phys. A212, 269 (1973).
14. P. Schuck, Z. Phys. 241, 395 (1971); P. Schuck and S. Ethofer, Nucl. Phys. A212, 269 (1973).
15. J. Dukelsky and P. Schuck, Phys. Lett. B 464, 164 (1999).
16. J.G. Hirsch, A. Mariano, J. Dukelsky, and P. Schuck, Ann. Phys. 296, 187 (2002).
17. K. Hara, Prog. Theor. Phys. 32, 88 (1964).
18. D.J. Rowe, Phys. Rev. 175, 1283 (1968); Rev. Mod. Phys. 40, 153 (1968).
19. D.J. Rowe, Phys. Rev. 175, 1283 (1968); Rev. Mod. Phys. 40, 153 (1968).
20. G. Röpke, T. Seifert, H. Stolz, and R. Zimmermann, Phys. Status Solidi B 100, 215 (1980); G. Röpke; Ann. Phys. (Leipzig) 3, 145 (1994); Z. Phys. B: Condens. Matter 99, 83 (1995).
21. G. Röpke, T. Seifert, H. Stolz, and R. Zimmermann, Phys. Status Solidi B 100, 215 (1980); G. Röpke; Ann. Phys. (Leipzig) 3, 145 (1994); Z. Phys. B: Condens. Matter 99, 83 (1995).
22. G. Röpke, T. Seifert, H. Stolz, and R. Zimmermann, Phys. Status Solidi B 100, 215 (1980); G. Röpke; Ann. Phys. (Leipzig) 3, 145 (1994); Z. Phys. B: Condens. Matter 99, 83 (1995).
23. P. Krüger and P. Schuck, Europhys. Lett. 72, 395 (1994).
24. J. Dukelsky and P. Schuck, Nucl. Phys. A512, 466 (1990).
25. J. Dukelsky and P. Schuck, Phys. Lett. B 387, 233 (1996).
26. J. Dukelsky, G. Röpke, and P. Schuck, Nucl. Phys. A628, 17 (1998).
27. F. Catara, N. Dinh Dang, and M. Sambataro, Nucl. Phys. A579, 1 (1994); J. Toivanen and J. Suhonen, Phys. Rev. Lett. 75, 410 (1995); J.G. Hirsch, P.O. Hess, and O. Civitarese, Phys. Lett. B 390, 36 (1997); F. Krmpotić, T.T.S. Kuo, A. Mariano, E.J.V. de Passos, and A.F.R. de Toledo Piza, Nucl. Phys. A612, 223 (1997).
28. F. Catara, N. Dinh Dang, and M. Sambataro, Nucl. Phys. A579, 1 (1994); J. Toivanen and J. Suhonen, Phys. Rev. Lett. 75, 410 (1995); J.G. Hirsch, P.O. Hess, and O. Civitarese, Phys. Lett. B 390, 36 (1997); F. Krmpotić, T.T.S. Kuo, A. Mariano, E.J.V. de Passos, and A.F.R. de Toledo Piza, Nucl. Phys. A612, 223 (1997).
29. F. Catara, N. Dinh Dang, and M. Sambataro, Nucl. Phys. A579, 1 (1994); J. Toivanen and J. Suhonen, Phys. Rev. Lett. 75, 410 (1995); J.G. Hirsch, P.O. Hess, and O. Civitarese, Phys. Lett. B 390, 36 (1997); F. Krmpotić, T.T.S. Kuo, A. Mariano, E.J.V. de Passos, and A.F.R. de Toledo Piza, Nucl. Phys. A612, 223 (1997).
30. F. Catara, N. Dinh Dang, and M. Sambataro, Nucl. Phys. A579, 1 (1994); J. Toivanen and J. Suhonen, Phys. Rev. Lett. 75, 410 (1995); J.G. Hirsch, P.O. Hess, and O. Civitarese, Phys. Lett. B 390, 36 (1997); F. Krmpotić, T.T.S. Kuo, A. Mariano, E.J.V. de Passos, and A.F.R. de Toledo Piza, Nucl. Phys. A612, 223 (1997).
31. D. Karadjov, V.V. Voronov, and F. Catara, Phys. Lett. B 306, 197 (1993).
32. F. Catara, G. Piccitto, M. Sambataro, and N. Van Giai, Phys. Rev. B 54, 17 536 (1996).
33. R.W. Richardson, Phys. Rev. 141, 949 (1966).
34. J. Högaasen-Feldman, Nucl. Phys. 28, 258 (1961); O. Johns, Nucl. Phys. A154, 65 (1970).
35. J. Högaasen-Feldman, Nucl. Phys. 28, 258 (1961); O. Johns, Nucl. Phys. A154, 65 (1970).
36. M. Baranger, Nucl. Phys. 149, 225 (1970).
37. M.K. Weigel and J. Winter, J. Phys. G 4, 1427 (1978).
38. J. Dukelsky and P. Schuck, Mod. Phys. Lett. A 6, 2429 (1991).
39. G. Schalow and M. Yamamura, Nucl. Phys. A161, 93 (1971); M. Yamamura, Prog. Theor. Phys. 52, 538 (1974); S. Nishiyama, ibid. 55, 1146 (1976).
40. G. Schalow and M. Yamamura, Nucl. Phys. A161, 93 (1971); M. Yamamura, Prog. Theor. Phys. 52, 538 (1974); S. Nishiyama, ibid. 55, 1146 (1976).
41. G. Schalow and M. Yamamura, Nucl. Phys. A161, 93 (1971); M. Yamamura, Prog. Theor. Phys. 52, 538 (1974); S. Nishiyama, ibid. 55, 1146 (1976).
42. B. Feucht, report of training course in Master of Physics, Description Self-Consistante des Fluctuations Quantiques dans un Modèle Simple, June 2000, ISN-Grenoble, Université Joseph Fourier, Grenoble, France.
43. M. Sambataro and N. Dinh Dang, Phys. Rev. C 59, 1422 (1999).
44. K. Hagino and G.F. Bertsch, Nucl. Phys. A679, 163 (2000)
45. P. Ring and P. Schuck, The Nuclear Many-Body Problem (Springer, New York, 1980).
46. T. Bertrand, P. Schuck, G. Chanfray, Z. Aouissat, and J. Dukelsky, Phys. Rev. C 63, 024301 (2001).
47. C. Guet and S. Blundell, Surf. Rev. Lett. 3, 395 (1996).
48. E.J.V. de Passos, A.F.R. de Toledo Piza, and F. Krmpotić, Phys. Rev. C 58, 1841 (1998).
49. H.J. Lipkin, Ann. Phys. (N.Y.) 12, 425 (1960); Y. Nogami, Phys. Rev. 134, B313 (1964).
50. H.J. Lipkin, Ann. Phys. (N.Y.) 12, 425 (1960); Y. Nogami, Phys. Rev. 134, B313 (1964).
51. J. von Delft, Ann. Phys. (Leipzig) 10, 219 (2001).
52. D. Delion, J. Dukelsky, and P. Schuck (unpublished).
53. q,j in Eq. (26), since this leads to non-normalizable eigenstates as in the case of Goldstone modes.