Abstract:
We consider the development of Cooper pairs in a self-consistent Hartree-Fock mean field for the even Sm isotopes. Results are presented at the level of a BCS treatment, a number-projected BCS treatment and an exact treatment using the Richardson ansatz. For a fixed value of the pairing strength, projected BCS captures much of the pairing correlation energy that is absent from BCS, but still misses a sizable component, typically of order 1 MeV. Furthermore, because it does not average over the properties of the fermion pairs, the exact Richardson solution permits a more meaningful definition of the Cooper wave function and of the fraction of pairs that are collective. © 2007 The American Physical Society.
Registro:
Documento: |
Artículo
|
Título: | Cooper pairs in atomic nuclei |
Autor: | Dussel, G.G.; Pittel, S.; Dukelsky, J.; Sarriguren, P. |
Filiación: | Departamento de Fisica J. J. Giambiagi, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina Bartol Research Institute, Department of Physics and Astronomy, University of Delaware, Newark, DE 19716, United States Instituto de Estructura de la Materia, CSIC, Serrano 123, E-28006 Madrid, Spain
|
Año: | 2007
|
Volumen: | 76
|
Número: | 1
|
DOI: |
http://dx.doi.org/10.1103/PhysRevC.76.011302 |
Título revista: | Physical Review C - Nuclear Physics
|
Título revista abreviado: | Phys. Rev. C Nucl. Phys.
|
ISSN: | 05562813
|
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562813_v76_n1_p_Dussel |
Referencias:
- Cooper, L.N., (1956) Phys. Rev., 104, p. 1189. , PHRVAO 0031-899X 10.1103/PhysRev.104.1189
- Bardeen, J., Cooper, L.N., Schrieffer, J.R., (1957) Phys. Rev., 108, p. 1175. , PHRVAO 0031-899X 10.1103/PhysRev.108.1175
- Bohr, A., Mottelson, B.R., Pines, D., (1958) Phys. Rev., 110, p. 936. , PHRVAO 0031-899X 10.1103/PhysRev.110.936
- Richardson, R.W., (1963) Phys. Lett., 3, p. 277. , PHLTAM 0031-9163 10.1016/0031-9163(63)90259-2
- Richardson, R.W., (1966) Phys. Rev., 141, p. 949. , PHRVAO 0031-899X 10.1103/PhysRev.141.949
- Ortiz, G., Dukelsky, J., (2005) Phys. Rev. A, 72, p. 043611. , PLRAAN 1050-2947 10.1103/PhysRevA.72.043611
- Yang, C.N., (1962) Rev. Mod. Phys., 34, p. 694. , RMPHAT 0034-6861 10.1103/RevModPhys.34.694
- Serra, M., Rummel, A., Ring, P., (2001) Phys. Rev. C, 65, p. 014304. , PRVCAN 0556-2813 10.1103/PhysRevC.65.014304
- Matsuo, M., Mizuyama, K., Serizawa, Y., (2005) Phys. Rev. C, 71, p. 064326. , PRVCAN 0556-2813 10.1103/PhysRevC.71.064326
- Pillet, N., Sandulescu, N., Schuck, P., nucl-th/0701086; Dietrich, K., Mang, H.J., Pradal, J.H., (1964) Phys. Rev., 135, p. 22. , PHRVAO 0031-899X 10.1103/PhysRev.135.B22
- Dominguez, F., Esebbag, C., Dukelsky, J., (2006) J. Phys. A: Math. Gen., 39, p. 11349. , 1361-6447 10.1088/0305-4470/39/37/002
- Rombouts, S., Van Neck, D., Dukelsky, J., (2004) Phys. Rev. C, 69, pp. 061303R. , PRVCAN 0556-2813 10.1103/PhysRevC.69.061303
- Stoitsov, M.V., Dobaczewski, J., Kirchner, R., Nazarewicz, W., Terasaki, J., ; Lunney, D., Pearson, J.M., Thibault, C., (2003) Rev. Mod. Phys., 75, p. 1021. , RMPHAT 0034-6861 10.1103/RevModPhys.75.1021
- Dukelsky, J., Sierra, G., (1999) Phys. Rev. Lett., 83, p. 172. , PRLTAO 0031-9007 10.1103/PhysRevLett.83.172
- Fernandez, M.A., Egido, J.L., (2003) Phys. Rev. B, 68, p. 184505. , PRBMDO 0163-1829 10.1103/PhysRevB.68.184505
- Dukelsky, J., Sierra, G., (2000) Phys. Rev. B, 61, p. 12302. , PRBMDO 0163-1829 10.1103/PhysRevB.61.12302
- Dukelsky, J., Esebbag, C., Schuck, P., (2001) Phys. Rev. Lett., 87, p. 066403. , PRLTAO 0031-9007 10.1103/PhysRevLett.87.066403
- Bajdich, M., Mitas, L., Wagner, L.K., Schmidt, K.E., cond-mat/0610850
Citas:
---------- APA ----------
Dussel, G.G., Pittel, S., Dukelsky, J. & Sarriguren, P.
(2007)
. Cooper pairs in atomic nuclei. Physical Review C - Nuclear Physics, 76(1).
http://dx.doi.org/10.1103/PhysRevC.76.011302---------- CHICAGO ----------
Dussel, G.G., Pittel, S., Dukelsky, J., Sarriguren, P.
"Cooper pairs in atomic nuclei"
. Physical Review C - Nuclear Physics 76, no. 1
(2007).
http://dx.doi.org/10.1103/PhysRevC.76.011302---------- MLA ----------
Dussel, G.G., Pittel, S., Dukelsky, J., Sarriguren, P.
"Cooper pairs in atomic nuclei"
. Physical Review C - Nuclear Physics, vol. 76, no. 1, 2007.
http://dx.doi.org/10.1103/PhysRevC.76.011302---------- VANCOUVER ----------
Dussel, G.G., Pittel, S., Dukelsky, J., Sarriguren, P. Cooper pairs in atomic nuclei. Phys. Rev. C Nucl. Phys. 2007;76(1).
http://dx.doi.org/10.1103/PhysRevC.76.011302