Nuclear Superconductivity in Compact Stars: BCS Theory and Beyond

Pairing in Fermionic Systems: Basic Concepts and Modern Applications

Volumn , Issue , 2006, Pages 135-174

  Sedrakian, Armen ^a   Clark, John W ^b  

^a UNIVERSITY OF TÜBINGEN   (Germany)

^b WASHINGTON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 65749096857     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/9789812773043_0006     Document Type: Chapter

References (159)

1. S. L. Shemar and A. G. Lyne, Mon. Not. RAS 282, 677 (1996).
2. J. M. Cordes, G. S. Downs, and J. Krause-Polstorff, Astrophys. J. 330, 847 (1988).
3. I. H. Stairs, A. G. Lyne, and S. L. Shemar, Nature 406, 484 (2000).
4. D. N. Voskresensky, Lecture Notes in Physics vol. 578 (Springer-Verlag, New York, 2001) pg. 467.
5. D. G. Yakovlev and C. J. Pethick, Ann. Rev. Astron. Astrophys. 42, 169 (2004).
6. D. Page, U. Geppert, and P. Weber, Nucl. Phys. A., in press.
7. A. Sedrakian, Prog. Part. Nucl. Phys., in press, nucl-th/0601086.
8. L. Lindblom and G. Mendell, Phys. Rev. D 61, 4003 (2000).
9. A. Sedrakian and I. Wasserman, Phys. Rev. D 63, 024016 (2000).
10. N. Andersson, G. L. Comer, and K. Grosart, Mon. Not. RAS 355, 918 (2004).
11. A. B. Migdal, Zh. Eksp. Teor. Fiz. 37, 249 (1959) [Sov. Phys. JETP 10, 176 (1960).]
12. A. Bohr, B. Mottelson, and D. Pines, Phys. Rev. 110, 936 (1958).
13. L. N. Cooper, R. L. Mills, and A. M. Sessler, Phys. Rev. 114, 1377 (1959).
14. G. Baym, C. J. Pethick, and D. Pines, Nature 224, 673 (1969).
15. J. W. Clark and C.-H. Yang, Nuovo Cimento Lett. 3, 272 (1970); ibid. 2, 379 (1970).
16. C.-H. Yang and J. W. Clark, Nucl. Phys. A 174, 49 (1971).
17. C.-H. Yang Ph.D. Thesis, Washington University in St. Louis (1971).
18. N.-C. Chao, J. W. Clark, and C.-H. Yang, Nucl. Phys. A179, 320 (1972).
19. M. Hoffberg, A. E. Glassgold, R. W. Richardson, and M. Ruderman, Phys. Rev. Lett. 24, 775 (1970).
20. T. Takatsuka, Prog. Theor. Phys. 48, 1517 (1972).
21. M. Baldo, O. Elgaroey, L. Engvik, M. Hjorth-Jensen, H.-J. Schulze, Phys. Rev. C 58, (1998) 1921.
22. M. V. Zverev, J. W. Clark, V. A. Khodel Nucl. Phys. A 720, 20 (2003).
23. J. W. Clark, V. A. Khodel, M. V. Zverev, nucl-th/0203046.
24. V. A. Khodel, J. W. Clark, M. V. Zverev, Phys. Rev. Lett. 87, 031103 (2001).
25. V. V. Khodel, V. A. Khodel, J. W. Clark, Nucl. Phys. A 679, 827 (2001).
26. V. A. Khodel, J. W. Clark, M. Takano, and M. V. Zverev, Phys. Rev. Lett. 93, 151101 (2004).
27. T. Takatsuka and R. Tamagaki, Prog. Theor. Phys. Suppl. 112, 27 (1993).
28. A. Sedrakian, G. Röpke, and T. Aim, Nucl. Phys. 594, 355 (1995).
29. T. Aim, G. Röpke, A. Sedrakian, and F. Weber, Nucl. Phys. A 604, 491 (1996).
30. T. Aim, G. Röpke, and M. Schmidt, Z. Phys. A 337, 355 (1990).
31. B. E. Vonderfecht, C. C. Gearhart, W. H. Dickhoff, A. Polls, and A. Ramos, Phys. Lett. B 253, 1 (1991).
32. M. Baldo, I. Bombaci, and U. Lombardo, Phys. Lett. B 283, 8 (1992).
33. M. Baldo, U. Lombardo, H.-J. Schulze, and Z. Wei Phys. Rev. C 66, 054304 (2002).
34. C. Shen, U. Lombardo, and P. Schuck Phys. Rev. C 71, 054301 (2005).
35. H. Müther and W. H. Dickhoff, Phys. Rev. C 72, 054313 (2005).
36. U. Lombardo and H.-J. Schulze, Lecture Notes in Physics, vol 578, pg 30 (Springer, Berlin).
37. D. J. Dean and M. Hjorth-Jensen, Rev. Mod. Phys. 75, 607 (2003).
38. A. A. Abrikosov, L. P. Gorkov, and I. E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics (Prentice-Hall, Englewood Cliffs, NJ, 1963) (Dover, New York, 1975).
39. A. B. Migdal, Theory of Finite Fermi-Systems (Nauka, Moscow, 1983, in Russian).
40. M. Baldo and A. Grasso, Phys. Lett. 485, 115 (2000).
41. U. Lombardo, P. Schuck, and W. Zuo, Phys. Rev C 64, 021301 (2001).
42. V. V. Khodel, V. A. Khodel, and J. W. Clark, Nucl. Phys. A598, 390 (1996).
43. A. Sedrakian, T. T. S. Kuo, H. Müther, and P. Schuck Phys. Lett. B 576, 68 (2003).
44. D. Pines and C. Pethick, in Proc. Xlth Intern. Conf. on Low Temperature Physics, ed. E. Kandu, (Kligatu Publ. Co. Tokyo, 1971).
45. J. W. Clark, C. G. Källman, C. H. Yang, and D. A. Chakkalakal, Phys. Lett. B 61, 331 (1976).
46. S. Babu and G. Brown, Ann. Phys. 78, 1 (1973).
47. S.-O. Bäckman, G. E. Brown, and J. A. Niskanen, Phys. Rep. 124, 1 (1985).
48. W. H. Dickhoff, A. Faessler, H. Müther, and S.-S. Wu, Nucl. Phys. A 405, 534 (1983).
49. T. L. Ainsworth, J. Wambach, and D. Pines, Phys. Lett. B 222, 173 (1989).
50. J. Wambach, T. L. Ainsworth, and D. Pines, Nucl. Phys. A 555, 128 (1993).
51. E. Feenberg, Theory of quantum fluids (Academic Press, NY 1969).
52. J. W. Clark, Prog. Part. Nucl. Phys. 2, 89 (1979).
53. J. W. Clark and P. Westhaus, Phys. Rev. 141, 833 (1966).
54. J. W. Clark, L. R. Mead, E. Krotscheck, K. E. Kiirten, and M. L. Ristig, Nucl. Phys. A 328, 45 (1979).
55. E. Krotscheck, R. A. Smith, and A. D. Jackson, Phys. Rev. B 24, 6404 (1981).
56. J. M. C. Chen, J. W. Clark, E. Krotscheck, and R. A. Smith, Nucl. Phys. A 451, (1986) 509.
57. J. M. C. Chen, J. W. Clark, R. D. Davé, and V. V. Khodel Nucl. Phys. A 555, 59 (1993).
58. A. Fabrocini, S. Fantoni, A. Illarionov, and K. E. Schmidt, Phys. Rev. Lett. 95, 192501 (2005).
59. H.-J. Schulze, J. Cugnon, A. Lejune, M. Baldo, and U. Lombardo, Phys. Lett. B 375, 1 (1996).
60. A. Schwenk, B. Friman, and G. Brown, Nucl. Phys. A 713, 191 (2003).
61. T. Ericson and W. Weise, Pions and Nuclei (Claredon Press, Oxford, 1988).
62. A. Sedrakian, Phys. Rev. C 68, 065805 (2003).
63. G. M. Eliashberg, Zh. Eksp. Teor. Fix. 38, 966 (1960) [Sov. Phys. JETP 11, 696 (1960)].
64. V. A. Khodel, J. W. Clark, M. Takano, and M. V. Zverev, Phys. Rev. Lett. 93, 151101 (2004).
65. E. Krotscheck and J. W. Clark, Nucl. Phys. A 328, 73 (1979).
66. E. Krotscheck and J. W. Clark, Nucl. Phys. A 333, 77 (1980).
67. R. B. Wiringa, V. G. J. Stoks, and R. Schiavilla, Phys. Rev. C 51, 38 (1995).
68. S. Fantoni, Nucl. Phys. A 363, 381 (1981).
69. S. Fantoni and S. Rosati, Nuovo Cim. 25A, 593 (1975).
70. A. Schwenk and B. Friman, Phys. Rev. Lett. 92, 082501 (2004).
71. T. Takatsuka and R. Tamagaki, Prog. Theor. Phys 65, 1333 (1981).
72. A. M. Clogston, Phys. Rev. Lett. 9, 266 (1962).
73. B. S. Chandrasekhar, Appl. Phys. Lett. 1, 7 (1962).
74. G. Sarma, Phys. Chem. Solids 24, 1029 (1963).
75. L. P. Gor’kov and A. I. Rusinov, Zh. Eksp. Teor. Fiz. 46, 1363 (1964) [Sov. Phys. JETP 19, 922 (1964)].
76. A. Sedrakian, T. Aim, and U. Lombardo, Phys. Rev. C 55, R582 (1997).
77. A. Sedrakian and U. Lombardo, Phys. Rev. Lett. 84, 602 (2000).
78. M. Alford, J. Berges, and K. Rajagopal, Phys. Rev. Lett. 84, 598 (2000).
79. I. A. Shovkovy, S. B. Ruester, D. H. Rischke, J. Phys. G 31, 849 (2005) and refs. therein.
80. P. Jaikumar, C. D. Roberts, and A. Sedrakian, Phys. Rev. C 73, 042801 (2006).
81. M. McNeil Forbes, E. Gubankova, W. V. Liu, and F. Wilczek Phys. Rev. Lett. 94, 017001 (2005).
82. L. He, M. Jin, and P.-f. Zhuang Phys. Rev. B 73 214527 (2006).
83. D. T. Son and M. A.Stephanov, Phys. Rev. A 74 013614 (2006).
84. C.-H. Pao, S.-T. Wu, and S.-K. Yip Phys. Rev. B 73, 132506 (2006).
85. E. Gubankova, A. Schmitt, and F. Wilczek, e-print cond-mat/0603603.
86. C.-C. Chien, Q. Chen, Y. He, and K. Levin, e-print cond-mat/0605039.
87. A. Sedrakian, H. Müther and A. Polls, e-print cond-mat/0605085.
88. A. I. Larkin and Yu. N. Ovcihnnikov, Zh. Eksp. Teor. Fiz. 47, 1136 (1964) [Sov. Phys. JETP 20, 762 (1965)].
89. P. Fulde and R. A. Ferrell, Phys. Rev. 135, A550 (1964).
90. J. A. Bowers and K. Rajagopal, Phys. Rev. D 66, 065002 (2002).
91. A. Sedrakian, Phys. Rev. C 63, 025801 (2001).
92. R. Casalbuoni, R. Gatto, M. Mannarelli, and G. Nardulli, Phys. Rev. D 66, 014006 (2002).
93. H. Müther and A. Sedrakian, Phys. Rev. Lett. 88, 252503 (2002); Phys. Rev. C 67, 015802 (2003).
94. A. Sedrakian, J. Mur-Petit, A. Polls, and H. Müther, Phys. Rev. A 72, 013613 (2005).
95. P. F. Bedaque, H. Caldas, and G. Rupak, Phys. Rev. Lett. 91, 247002 (2003).
96. H. Caldas, Phys. Rev. A 69, 063602 (2004)
97. R. Combescot, Europhys. Lett 55, 15 (2001).
98. E. Gubankova, E.G. Mishchenko, and F. Wilczek, Phys. Rev. Lett. 94, 110402 (2005).
99. A. J. Leggett, in Modern Trends in the Theory of Condensed Matter (Springer, Berlin, 1980), p.13; J. Phys. (Paris) 41, (1980) C7-19.
100. L. V. Keldysh and Yu. V. Kopaev, Sov. Phys. Solid State 6, 2219 (1965).
101. L. V. Keldysh and A. N. Kozlov, Sov. Phys. JETP 27, 521 (1968).
102. P. Nozières and S. Schmitt-Rink, J. Low Temp. Phys. 59, 195 (1985).
103. T. Aim, B. L. Friman, G. Röpke, and H. Schulz, Nucl. Phys. A 551, 45 (1993).
104. M. Baldo, U. Lombardo, and P. Schuck, Phys. Rev. C 52, 975 (1995).
105. H. Stein, A. Schnell, T. Aim, and G. Röpke, Z. Phys. A 351, 295 (1995).
106. U. Lombardo, P Nozieres, P. Schuck, H.-J. Schulze, and A. Sedrakian, Phys. Rev. C 64 064314 (2001).
107. A. Sedrakian and J. W. Clark, Phys. Rev. C 73, 035803 (2006).
108. W. C. Stwalley, Phys. Rev. Lett. 37, 1628 (1976).
109. E. Tiesinga, B. J. Verhaar, and H. T. C. Stoof, Phys. Rev. A47, 4114 (1993).
110. Ph. Courteille, R. S. Freeland, D. J. Heinzen, F. A. van Abeelen, and B. J. Verhaar, Phys. Rev. Lett. 81, 69 (1998).
111. W. Zwierlein, A. Schirotzek, C. H. Schunck, W. Ketterle, Science 311, 492 (2006).
112. G. B. Partridge, W. Li, R. I. Kamar, Y. Liao, R. G. Hulet, Science 311, 503 (2006).
113. J. Mur-Petit, A. Polls, and H.-J. Schulze, Phys. Lett. A 290, 317 (2001).
114. C. Mora and R. Combescot, Physica B 329, 1435 (2003).
115. W. V. Liu and F. Wilczek, Phys. Rev. Lett. 90, 047002 (2003).
116. W. Yi and L.-M. Duan, Phys. Rev. A 73, 031604(R) (2006).
117. A. Bulgac, M. M. Forbes, and A. Schwenk, eprint cond-mat/0602274.
118. Kun Yang and S. Sachdev, Phys. Rev. Lett. 96, 187001 (2006).
119. S. Sachdev and Kun Yang, Phys. Rev. B 73, 174504 (2006).
120. H. Hu and X.-J. Liu, Phys. Rev. A 73, 051603 (R) (2006).
121. X.-J. Liu and H. Hu, Europhys. Lett. 75 364 (2006).
122. Kun Yang, Phys. Rev. Lett. 95, 218903 (2005); e-print cond-mat/0508484; e-print cond-mat/0603190.
123. A. Sedrakian, J. Mur-Petit, A. Polls, and H. Müther, Phys. Rev. A 72, 013613 (2005).
124. J. Dukelsky, G. Ortiz, and S. M. A. Rombouts, Phys. Rev. Lett. 96, 180404 (2006).
125. T. Mizushima, K. Machida, and M. Ichioka, Phys. Rev. Lett. 94, 060404 (2005).
126. P. Castorina, M. Grasso, M. Oertel, M. Urban, and D. Zappala, Phys. Rev. A 72, 025601 (2005).
127. F. Chevy, eprint cond-mat/0601122.
128. T. N. De Silva and E. J. Mueller, Phys. Rev. A 73, 051602(R) (2006); eprint cond-mat/0604638.
129. G. A. Vardanyan and D. M. Sedrakyan, Sov. Phys. JETP 54, 919 (1981).
130. G. Mendell and L. Lindblom, Ann. Phys. 205, 110 (1990)
131. G. Mendell, Astrophys. J. 380, 515 (1991); ibid, pg 530.
132. A. Sedrakian and D. Sedrakian, Astrophys. J. 380, 515 (1991).
133. G. Mendell, Mon. Not. RAS 296, 903 (1998).
134. R. Prix, Phys. Rev. D 62, 3005 (2000)
135. N. Andersson, T. Sidery, and G. L. Comer, Mon. Not. RAS 368, 162 (2006).
136. M. A. Alpar, S. J. Langer, and J. A. Sauls, Astrophys. J. 282, 533 (1984).
137. M. Ruderman, Astrophys. J. 382, 5 (1991).
138. D. M. Sedrakian and K. M. Shahabasian, Sov. Phys. Uspekhi 34 555 (1991) and references therein.
139. P. Muzikar and C. J. Pethick, Phys. Rev. B 24, 2533 (1981).
140. A. Sedrakian and J. Cordes, Mon. Not. RAS 307, 365 (1999).
141. D. M. Sedrakian, A. Sedrakian, and G. F. Zharkov, Mon. Not. RAS 290, 203 (1997); Comptes Rendus Acad. Sci. Paris Ser. lib 325, 763 (1997).
142. V. L. Ginzburg and G. F. Zharkov, Journ. Low. Temp. Phys. 92, 25 (1993).
143. K. B. W. Buckley, M. A. Metlitski, and A. R. Zhitnitsky, Phys. Rev. Lett. 92, 151102 (2004); Phys. Rev. C 69, 055803 (2004).
144. M. Alford, G. Good, and S. Reddy, Phys. Rev. C 72, 055801 (2005).
145. M. A. Alpar, H. F. Chau, K. S. Cheng, and D. Pines, Astrophys. J. 409, 345 (1993).
146. B. Link, R. I. Epstein, and G. Baym, Astrophys. J. 403, 285 (1993).
147. J. Shaham, Astrophys. J. 214, (1977) 251.
148. A. Sedrakian, I. Wasserman, and J. M. Cordes, Astrophys. J. 524, 341 (1999).
149. B. Link, Phys. Rev. Lett. 91, 101101 (2003).
150. I. Wasserman, Mon. Not. RAS 341, 1020 (2003).
151. T. Akgun, B. Link, and I. Wasserman, Mon. Not. RAS 365, 653 (2006).
152. P. J. Feibelman, Phys. Rev. D 4, 1589 (1971).
153. P. Muzikar, J. A. Sauls, and J. W. Serene, Phys. Rev. D 21, 1494 (1980).
154. A. Sedrakian, Phys. Rev. D 58, 021301(R) (1998).
155. K. Y. Ding, K. S. Cheng, and H. F. Chau, Astrophys. J. 408, 167 (1993).
156. A. Sedrakian, Mon. Not. RAS 277, 225 (1995).
157. G. Baym and R. Epstein, Astrophys. J. 387, 276 (1992).
158. P. B. Jones, Mon. Not. RAS 257, 501 (1992).
159. A. Sedrakian, Phys. Rev. D 71, 083003 (2005).