Abstract.
The main objective of this paper is to review the state of the art of the multiparticle-multihole configuration mixing approach which was proposed and implemented using the Gogny interaction ∼ 10 years ago. Various theoretical aspects are re-analyzed when a Hamiltonian description is chosen: the link with exact many-body theories, the impact of truncations in the multiconfigurational space, the importance of defining single-particle orbitals which are consistent with the correlations introduced in the many-body wave function, the role of the self-consistency, and more practically the numerical convergence algorithm. Several applications done with the phenomenological effective Gogny interaction are discussed. Finally, future directions to extend and generalize the method are discussed.
Similar content being viewed by others
References
K.A. Brueckner, Phys. Rev. 97, 1953 (1955)
D. Day, Rev. Mod. Phys. 39, 719 (1967)
K. Tsukiyama, S.K. Bogner, A. Schwenk, Phys. Rev. Lett. 106, 222502 (2011)
H. Hergert, S.K. Bogner, S. Binder, A. Calci, J. Langhammer, R. Roth, A. Schwenk, Phys. Rev. C 87, 034307 (2013)
H. Hergert, S.K. Bogner, T.D. Morris, S. Binder, A. Calci, J. Langhammer, R. Roth, Phys. Rev. C 90, 041302(R) (2014)
P. Ring, P. Schuck, The Nuclear Many-Body Problem (Springer-Verlag, New-York, 1980)
M. Baranger, Nucl. Phys. A 149, 225 (1970)
N. Pillet, J.-F. Berger, E. Caurier, Phys. Rev. C 78, 024305 (2008)
N. Pillet, V.G. Zelevinsky, M. Dupuis, J.-F. Berger, J.-M. Daugas, Phys. Rev. C 85, 044315 (2012)
J. Le Bloas, N. Pillet, M. Dupuis, J.-M. Daugas, L.M. Robledo, C. Robin, V.G. Zelevinsky, Phys. Rev. C 89, 024305(R) (2014)
C. Robin, N. Pillet, D. Peña Arteaga, J.-F. Berger, Phys. Rev. C 93, 024302 (2016)
C. Robin, N. Pillet, M. Dupuis, J. Le Bloas, J.-F. Berger, submitted to Phys. Rev. C, arXiv:1611.03445
D. Gogny, in Proceedings of the International Conference on Nuclear Physics, Munich, August 27 - September 1, 1973, edited by J. de Boer, H.J. Mang (North-Holland, Amsterdam, 1974) p. 48
D. Gogny, in Nuclear Self-Consistent Fields, Trieste, edited by G. Ripka, M. Porneuf (North-Holland, Amsterdam, 1975) p. 333
J. Dechargé, D. Gogny, Phys. Rev. C 21, 1568 (1980)
J.-F. Berger, M. Girod, D. Gogny, Nucl. Phys. A 502, 85c (1989)
J.-F. Berger, M. Girod, D. Gogny, Comput. Phys. Commun. 63, 365 (1991)
C. Froese-Fischer, Comput. Phys. Commun. 1, 151 (1969)
J.C. Morrison, C. Froese-Fischer, Phys. Rev. A 35, 2429 (1987)
D.L. Yeager, P. Jørgensen, J. Chem. Phys. 71, 2 (1979)
H.J. Werner, W. Meyer, J. Chem. Phys. 74, 1 (1981)
A. Faessler, A. Plastino, Z. Phys. 220, 88 (1969)
S.M. Abecasis, A. Faessler, A. Plastino, Z. Phys. 218, 394 (1969)
L. Satpathy, Q. Ho-Kim, Phys. Rev. Lett. 25, 123 (1970)
A. Faessler, A. Plastino, K.W. Schmid, Phys. Lett. B 34, 31 (1971)
Q. Ho-Kim, Phys. Rev. C 4, 1077 (1971)
K.W. Schmid, L. Satpathy, A. Faessler, Z. Phys. 267, 345 (1974)
K.W. Schmid, L. Satpathy, A. Faessler, Z. Phys. 267, 337 (1974)
S. Krewald, K.W. Schmid, A. Faessler, Z. Phys. 269, 125 (1974)
T. Duguet, G. Hagen, Phys. Rev. C 85, 034330 (2012)
P.C. Martin, J. Schwinger, Phys. Rev. 115, 1342 (1959)
L. Brillouin, Actual. Sci. Ind. 71, 159 (1933)
B. Levy, G. Berthier, Int. J. Quantum Chem. 2, 307 (1968)
R. McWeeny, Methods of Molecular Quantum Mechanics, second edition (Academic Press, 1992)
T.L. Gilbert, J. Chem. Phys. 60, 3835 (1974)
J. Hinze, J. Chem. Phys. 59, 6424 (1973)
J. Dukelsky, P. Schuck, Nucl. Phys. A 512, 466 (1990)
J. Linderberg, Y. Öhrn, Int. J. Quantum Chem. 12, 161 (1977)
D.J. Rowe, Rev. Mod. Phys. 40, 153 (1968)
Jean-Paul Blaizot, Georges Ripka, Quantum Theory of Finite Systems (The MIT Press, 1986)
G. Ripka, J.-P. Blaizot, Cours de Physique Nucléaire Théorique (CEA, Saclay, 1978)
R. Padgen, G. Ripka, Nucl. Phys. A 149, 273 (1970)
E. Caurier, G. Martinez-Pinedo, F. Nowacki, A. Poves, A.P. Zuker, Rev. Mod. Phys. 77, 427 (2005)
T. de Forest, J.D. Walecka, Adv. Phys. 15, 1 (1980)
J. Heisenberg et al., Phys. Rev. C 25, 2292 (1982)
B. Dreher et al., Nucl. Phys. A 235, 219 (1974)
M. Dupuis, S. Karataglidis, E. Bauge, J.-P. Delaroche, D. Gogny, Phys. Lett. B 665, 152 (2008)
M. Dupuis, E. Bauge, S. Hilaire, F. Lechaftois, S. Péru, N. Pillet, C. Robin, Eur. Phys. J. A 51, 168 (2015)
Y. Horikawa, Y. Torizuka, A. Nakada, S. Mitsunobu, Y. Kojima, M. Kimura, Phys. Lett. B 36, 9 (1971)
A. Johnston, T.E. Drake, J. Phys. A 8, 898 (1974)
P. Junk, PhD Thesis, University of Mainz, unpublished (1970)
O. Titze, Z. Phys. 220, 66 (1969)
G.C. Li, M.R. Yearian, I. Sick, Phys. Rev. C 9, 1861 (1974)
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by N. Alamanos
Rights and permissions
About this article
Cite this article
Pillet, N., Robin, C., Dupuis, M. et al. The self-consistent multiparticle-multihole configuration mixing. Eur. Phys. J. A 53, 49 (2017). https://doi.org/10.1140/epja/i2017-12232-7
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epja/i2017-12232-7