Superfluid states of nuclear matter beyond the BCS approximation

International Journal of Modern Physics E

Volumn 14, Issue 4, 2005, Pages 513-554

  Lombardo, Umberto ^a   Shen, Caiwan ^b   Schulze, Hans Josef ^c   Zuo, Wei ^d  

^a UNIVERSITY OF CATANIA   (Italy)

^b CHINA INSTITUTE OF ATOMIC ENERGY   (China)

^c INFN SEZIONE DI CATANIA   (Italy)

^d INSTITUTE OF MODERN PHYSICS   (China)

Author keywords

BCS theory; Brueckner theory; Pairing gap; Screening in nuclear and neutron matter; Superfluidity

Indexed keywords

EID: 22644431541     PISSN: 02183013     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218301305003375     Document Type: Article

References (77)

1. J. Bardeen, L. N. Cooper and J. R. Schrieffer, Phys. Rev. 108 (1957) 1175.
2. A. Bohr, B. Mottelson and D. Pines, Phys. Rev. 110 (1958) 936.
3. S. T. Belayev, Mat. Fys. Medd. Dan. Vid. Selsk. 31(11) (1959) 131, 221, 240, 253.
4. J. Eisenberg and W. Greiner, Nuclear Theory, Vol. 3: Microscopic Theory of the Nucleus (North Holland, 1967).
5. L. N. Cooper, R. L. Mills and A. M. Sessler, Phys. Rev. 114 (1959) 1377.
6. V. J. Emery and A. M. Sessler, Phys. Rev. 119 (1960) 248.
7. U. Lombardo and H.-J. Schulze, Superfluidity in Neutron Star Matter, in Physics of Neutron Star Interiors, Lecture Notes in Physics, Vol. 578, eds. D. Blaschke, N. K. Glendenning and A. Sedrakian (Springer Verlag, 2001), p. 30.
8. A. B. Migdal, Sov. Phys. JETP 10 (1960) 176.
9. D. Pines, R. Tamagaki and S. Tsuruta (eds), The Structure and Evolution of Neutron Stars, Proc. US-Japan Joint Seminar, Kyoto, 6-10 November, 1990 (Addison-Wesley, Reading, MA, 1992).
10. M. Baldo, U. Lombardo and P. Schuck, Phys. Rev. C52 (1995) 975.
11. K. G. R. Doss, H. A. Gustafsson, H. H. Gutbrod, B. Kolb, H. Lohner, B. Ludewigt, A. M. Poskanzer, T. Renner, H. Riedesel, H. G. Ritter, A. Warwick and H. Wieman, Phys. Rev. C32 (1985) 116.
12. K. G. R. Doss, H. A. Gustafsson, H. H. Gutbrod, D. Hahn, K. H. Kampert, B. Kolb, H. Lohner, A. M. Poskanzer, H. G. Ritter, H. R. Schmidt and H. Stöcker, Phys. Rev. C37 (1988) 163.
13. M. Baldo, J. Cugnon, A. Lejeune and U. Lombardo, Nucl. Phys. A515 (1990) 409;
14. M. Baldo, J. Cugnon, A. Lejeune and U. Lombardo, Nucl. Phys., ibid. A536 (1991) 349.
15. M. Baldo and A. Grasso, Phys. Lett. B485 (2000) 115.
16. U. Lombardo, P. Schuck and W. Zuo, Phys. Rev. C64 (2001) 021301R.
17. C. W. Shen, U. Lombardo, P. Schuck, W. Zuo and N. Sandulescu, Phys. Rev. C67 (2003) 061302(R).
18. H.-J. Schulze, J. Cugnon, A. Lejeune, M. Baldo and U. Lombardo, Phys. Lett. B375 (1996) 1, and references therein.
19. C. W. Shen, U. Lombardo and P. Schuck, Phys. Rev. C71 (2005) 054301.
20. S. Babu and G. E. Brown, Ann. Phys. (New York) 78 (1973) 1.
21. U. Lombardo, Superfluidity in nuclear matter, in Nuclear Methods and the Nuclear Equation of State, ed. M. Baldo (World Scientific, 1999), pp. 458-510.
22. R. Balian, The T-matrix and the canonical transformation, in Lecture Notes on the Many-Body Problem, ed. C. Fronsdal (Benjamin, New York, 1962).
23. A. B. Migdal, Theory of Finite Fermi Systems and Applications to Atomic Nuclei (Interscience, London, 1967).
24. P. Nozières, Theory of Interacting Fermi Systems (W.A. Benjamin, New York, 1966).
25. W. Zuo, I. Bombaci and U. Lombardo, Phys. Rev. C60 (1999) 024605.
26. P. Ring and P. Schuck, The Nuclear Many-Body Problem (Springer-Verlag, New York, 1980).
27. J. Wambach, T. L. Ainsworth and D. Pines, Nucl. Phys. A555 (1993) 128.
28. A. L. Fetter and J. D. Walecka, Quantum Theory of Many Particle Systems (McGraw-Hill, New York, 1971).
29. S.-O. Bäckman, G. E. Brown and J. A. Niskanen, Physics Reports 124 (1985) 1.
30. O. Sjöberg, Ann. Phys. (New York) 78 (1973) 39.
31. M. Lacombe, B. Loiseaux, J. M. Richard, R. Vinh Mau, J. Côté, D. Pirès and R. de Tourreil, Phys. Rev. C21 (1980) 861.
32. R. B. Wiringa, R. A. Smith and T. L. Ainsworth, Phys. Rev. C29 (1984) 1207.
33. R. Machleidt, Adv. Nucl. Phys. 19 (1989) 189.
34. V. G. J. Stoks, R. A. M. Klomp, C. P. F. Terheggen and J. J. de Swart. Phys. Rev. C48 (1993) 792.
35. R. B. Wiringa, V. G. J. Stoks and R. Schiavilla, Phys. Rev. C51 (1995) 38.
36. R. Machleidt, F. Sammarruca and Y. Song, Phys. Rev. C53 (1996) 1483.
37. T. Takatsuka and R. Tamagaki, Prog. Theor. Phys. (Suppl.) 112 (1993) 27.
38. L. Amundsen and E. Østgaard, Nucl. Phys. A442 (1985) 163.
39. Ø. Elgarøy, L. Engvik, M. Hjorth-Jensen and E. Osnes, Nucl. Phys. A607 (1996) 425.
40. M. Baldo, Ø. Elgarøy, L. Engvik, M. Hjorth-Jensen and H.-J. Schulze, Phys. Rev. C58 (1998) 1921.
41. V. A. Khodel, V. V. Khodel and J. W. Clark, Phys. Rev. Lett. 81 (1998) 3828.
42. A. L. Goodman, Nucl. Phys. A186 (1972) 475;
43. Phys. Rev. C60 (1999) 014331.
44. J. M. C. Chen, J. W. Clark, R. D. Dave and V. V. Khodel, Nucl. Phys. A555 (1993) 59.
45. L. Amundsen and E. Østgaard, Nucl. Phys. A437 (1985) 487.
46. V. A. Khodel, V. V. Khodel and J. W. Clark, Nucl. Phys. A598 (1996) 390.
47. Ø. Elgaroy and M. Hjorth-Jensen, Phys. Rev. C57 (1998) 1174.
48. A. Schwenk, B. Friman and G. E. Brown, Nucl. Phys. A713 (2003) 191.
49. T. Alm, G. Röpke and M. Schmidt, Z. Phys. A337 (1990) 355.
50. B. E. Vonderfecht, C. C. Gearhart, W. H. Dickhoff, A. Polls and A. Ramos, Phys. Lett. B253 (1991) 1.
51. M. Baldo, I. Bombaci and U. Lombardo, Phys. Lett. B283 (1992) 8.
52. T. Alm, B. L. Friman, G. Röpke and H. Schulz, Nucl. Phys. A551 (1993) 45.
53. H. Stein, A. Schnell, T. Alm and G. Röpke, Z. Phys. A351 (1995) 295.
54. T. Alm, G. Röpke, A. Sedrakian and F. Weber, Nucl. Phys. A406 (1996) 491.
55. M. Baldo, U. Lombardo, P. Schuck and A. Sedrakian, Condensed Matter Theories, Vol. 12, ed. J. W. Clark (Nova Science Publishers, 1997), pp. 265-277.
56. Ø. Elgarøy, L. Engvik, E. Osnes and M. Hjorth-Jensen, Phys. Rev. C57 (1998) R1069.
57. U. Lombardo, H.-J. Schulze and W. Zuo, Phys. Rev. C59 (1999) 2927.
58. M. Baldo, U. Lombardo, H.-J. Schulze and W. Zuo, Phys. Rev. C66 (2002) 054304.
59. A. Sedrakian, G. Röpke and T. Alm, Nucl. Phys. A594 (1995) 355.
60. E. Garrido, P. Sarriguren, E. Moya de Guerra, U. Lombardo, P. Schuck and H.-J. Schulze, Phys. Rev. C63 (2001) 037304.
61. W. Zuo, Z. H. Li, G. C. Lu, J. Q. Li, U. Lombardo, H.-J. Schulze and C. W. Shen, Phys. Lett. B595 (2004) 44.
62. P. Grangé, A. Lejeune, M. Martzolff and J.-F. Mathiot, Phys. Rev. C40 (1989) 1040.
63. A. J. Leggett, Rev. Mod. Phys. 47 (1975) 321, and references therein.
64. G. E. Brown and H. A. Bethe, Astrophys. J. 423 (1994) 659.
65. J. Dechargé and D. Gogny, Phys. Rev. C21 (1980) 1568.
66. Ø. Elgarøy, L. Engvik, M. Hjorth-Jensen and E. Osnes, Nucl. Phys. A604 (1996) 466.
67. P. W. Anderson and P. Morel, Phys. Rev. 123 (1961) 1911.
68. L. P. Gorkov and T. K. Melik-Barkhudarov, Sov. Phys. JETP 13 (1961) 1018.
69. T. Papenbrock and G. F. Bertsch, Phys. Rev. C59 (1999) 2052.
70. H. Heiselberg, C. J. Pethick, H. Smith and L. Viverit, Phys. Rev. Lett. 85 (2000) 2418.
71. H.-J. Schulze, A. Polls and A. Ramos, Phys. Rev. C63 (2001) 044310.
72. J. Mur-Petit, A. Polls and H.-J. Schulze, Phys. Lett. A290 (2001) 317.
73. S. A. Fayans and D. Zawischa, in Recent Progress in Many-Body Theories, eds. R. F. Bishop, K. A. Gernoth, N. R. Walet and Y. Xia (World Scientific, Singapore, 2000), p. 403.
74. J. Terasaki, F. Barranco, R. A. Broglia, E. Vigezzi and P. F. Bortignon, Nucl. Phys. A697 (2002) 127.
75. P. Haensel, Neutron star crusts, in Physics of Neutron Star Interiors, Lecture Notes in Physics, Vol. 578, eds. D. Blaschke, N. K. Glendenning and A. Sedrakian (Springer Verlag, 2001), p. 127.
76. D. G. Yakovlev and C. J. Pethick, Ann. Rev. Astron. Astrophys. 42 (2004) 169.
77. G. Röpke, A. Schnell, P. Schuck and U. Lombarde, Phys. Rev. C61 (2000) 024306.