Comptes Rendus
no. 4-5
Exotic nuclei/Les noyaux exotiques
Mean field theories and exotic nuclei
[Théories de champ moyen et noyaux exotiques]

Présenté par : Guy Laval

Karim Bennaceur1  ; Paul Bonche2  ; Jacques Meyer1
1 Institut de physique nucléaire de Lyon, CNRS-IN2P3/Université Claude Bernard Lyon 1, bâtiment Paul Dirac, 43, Bd. 11.11.18, 69622 Villeurbanne cedex, France
2 Service de physique théorique, CEA Saclay, 91191 Gif-sur-Yvette cedex, France
Comptes Rendus. Physique, Volume 4 (2003) no. 4-5, pp. 555-570.

Après une présentation générale des théories de champ moyen, on s'attache plus spécifiquement à l'étude de quelques applications originales dans le domaine des noyaux exotiques. Les principales hypothèses de ces modèles sont discutées vis-à-vis des conditions extrêmes de ce nouveau champ d'application. Quelques perspectives sont suggérées ouvrant la voie de développements théoriques futurs indispensables à ce domaine de noyaux très loin de la stabilité.

A general description of mean field theories is made in view of their use for the description of static and dynamical properties of exotic nuclei. Some pertinent examples of new physics appearing far from stability are presented such as quenching of shell effects around the neutron drip line as well as the effect of the continuum in Hartree–Fock–Bogoliubov formalism when the Fermi energy goes to zero. We also focus on the effective forces adjusted to investigate nuclear medium in these particular extreme conditions. Some perspectives of new theoretical developments are suggested in order to guarantee the reliability of future predictions in this new field of physics.

Publié le :
DOI : 10.1016/S1631-0705(03)00060-4
Keywords: Mean field, Hartree–Fock, Hartree–Fock–Bogoliubov, Generator coordinate method
Mot clés : Champ moyen, Hartree–Fock, Hartree–Fock–Bogoliubov, Coordonnée génératrice
Karim Bennaceur 1 ; Paul Bonche 2 ; Jacques Meyer 1

1 Institut de physique nucléaire de Lyon, CNRS-IN2P3/Université Claude Bernard Lyon 1, bâtiment Paul Dirac, 43, Bd. 11.11.18, 69622 Villeurbanne cedex, France
2 Service de physique théorique, CEA Saclay, 91191 Gif-sur-Yvette cedex, France 
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Karim Bennaceur; Paul Bonche; Jacques Meyer. Mean field theories and exotic nuclei. Comptes Rendus. Physique, Volume 4 (2003) no. 4-5, pp. 555-570. doi : 10.1016/S1631-0705(03)00060-4. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/S1631-0705(03)00060-4/

[1] P. Ring, contribution to this volume

[2] Nucl. Phys. A, 693 (2001), p. 1 (Special issue on Radioactive Nuclear Beams dedicated to the memory of Jerry D. Garrett)

[3] P. Ring; P. Schuck The Nuclear Many-Body Problem, Spinger-Verlag, Berlin, 1980

[4] G. Bertsch Z. Phys. A, 289 (1978), p. 103

[5] Ph. Quentin; H. Flocard Annu. Rev. Nucl. Part. Sci., 28 (1978), p. 523

[6] P. Bonche; H. Flocard; P.-H. Heenen; S.J. Krieger; M.S. Weiss Nucl. Phys. A, 443 (1985), p. 39

[7] P. Bonche; S.J. Krieger; P. Quentin; M.S. Weiss; J. Meyer; M. Meyer; N. Redon; H. Flocard; P.-H. Heenen; S.J. Krieger; P. Bonche; M.S. Weiss; J. Meyer; H. Flocard; P.-H. Heenen Nucl. Phys. A, 500 (1989), p. 308

[8] M. Girod; B. Grammaticos Phys. Rev. C, 27 (1983), p. 2317

[9] M. Girod; J.P. Delaroche; D. Gogny; J.F. Berger Phys. Rev. Lett., 62 (1989), p. 2452

[10] S. Aberg; H. Flocard; W. Nazarewicz Annu. Rev. Nucl. Part. Sci., 40 (1990), p. 439

[11] J.L. Wood; K. Heyde; W. Nazarewicz; M. Huyse; P. Van Duppen Phys. Rep., 215 (1992), p. 101

[12] J. Terasaki; H. Flocard; P.-H. Heenen; P. Bonche Nucl. Phys. A, 621 (1997), p. 706

[13] J. Meyer; P. Bonche; M.S. Weiss; J. Dobaczewski; H. Flocard; P.-H. Heenen Nucl. Phys. A, 588 (1995), p. 597

[14] B. ter Haar; R. Malfliet Phys. Rep., 149 (1987), p. 207

[15] D. Vautherin Nuclear Physics of Hot Dense Matter, NATO Adv. Study Inst. Supernovae, Les Houches, France, 1990

[16] J.W. Negele Rev. Mod. Phys., 54 (1982), p. 913

[17] M. Hjorth-Jensen; T.T.S. Kuo; E. Osnes Phys. Rep., 261 (1995), p. 125

[18] M. Baldo Nuclear Methods and the Nuclear Equation of State, Int. Review of Nuclear Physics, 9, World Scientific, Singapore, 1999

[19] H. Müther; H. Müther; H. Müther Prog. Part. Nucl. Phys., 14 (1985), p. 125

[20] J.W. Negele Phys. Rev. C, 1 (1970), p. 1260

[21] D.W.L. Sprung; P.K. Banerjee; D.W.L. Sprung; X. Campi; D.W. Sprung Nucl. Phys. A, 168 (1971), p. 273

[22] S.C. Pieper; R.B. Wiringa; V.R. Pandharipande Phys. Rev. C, 46 (1992), p. 1741

[23] H.S. Köhler; H.S. Köhler Nucl. Phys. A, 162 (1971), p. 385

[24] J. Dechargé; D. Gogny Phys. Rev. C, 21 (1980), p. 1568

[25] J.F. Berger; M. Girod; D. Gogny Nucl. Phys. A, 502 (1989), p. 85c

[26] T.H.R. Skyrme; T.H.R. Skyrme Nucl. Phys., 1 (1956), p. 1043

[27] D. Vautherin; D.M. Brink Phys. Rev. C, 3 (1972), p. 626

[28] M. Beiner; H. Flocard; Nguyen Van Giai; P. Quentin Nucl. Phys. A, 238 (1975), p. 29

[29] J. Bartel; P. Quentin; M. Brack; C. Guet; H.-B. Hakansson Nucl. Phys. A, 386 (1982), p. 79

[30] J. Dobaczewski; H. Flocard; J. Treiner Nucl. Phys. A, 422 (1984), p. 103

[31] E. Chabanat; P. Bonche; P. Haensel; J. Meyer; R. Schaeffer; E. Chabanat; P. Bonche; P. Haensel; J. Meyer; R. Schaeffer; E. Chabanat; P. Bonche; P. Haensel; J. Meyer; R. Schaeffer Nucl. Phys. A, 627 (1997), p. 710

[32] F. Buchinger; J.E. Crawford; A.K. Dutta; J.M. Pearson; F. Tondeur Phys. Rev. C, 49 (1994), p. 1402

[33] J.W. Negele; D. Vautherin; J.W. Negele; D. Vautherin Phys. Rev. C, 5 (1972), p. 1472

[34] C.J. Batty; E. Friedman; H.J. Gils; H. Rebel Adv. Nucl. Phys., Vol. 19 (J.W. Negele; M. Vogt, eds.), Plenum Press, New York, 1989

[35] J. Bardeen; L.N. Cooper; J.R. Schrieffer Phys. Rev., 108 (1957), p. 1175

[36] H.J. Lipkin; Y. Nogami; A. Kamlah Z. Phys., 12 (1960), p. 425

[37] Ph. Quentin; N. Redon; J. Meyer; M. Meyer Phys. Rev. C, 41 (1990), p. 341

[38] P.-H. Heenen; A. Valor; M. Bender; P. Bonche; H. Flocard Eur. Phys. J. A, 11 (2001), p. 393

[39] W. Nazarewicz; J. Dobaczewski; T.R. Werner; J.A. Maruhn; P.-G. Reinhard; K. Rutz; C.R. Chinn; A.S. Umar; M.R. Strayer; J. Dobaczewski; W. Nazarewicz; T.R. Werner Z. Phys. A, 53 (1996), p. 740

[40] J. Dobaczewski; W. Nazarewicz; T.R. Werner; J.-F. Berger; C.R. Chinn; J. Dechargé Phys. Rev. C, 53 (1996), p. 2809

[41] K. Bennaceur; J. Dobaczewski; M. Płoszajczak Phys. Rev. C, 60 (1999), p. 034308

[42] F. Tondeur; S.J. Krieger; P. Bonche; H. Flocard; P. Quentin; M.S. Weiss Nucl. Phys. A, 315 (1979), p. 353

[43] R.R. Chasman; N. Tajima; P. Bonche; H. Flocard; P.-H. Heenen; M.S. Weiss; J. Terasaki; P.-H. Heenen; P. Bonche; J. Dobaczewski; H. Flocard Nucl. Phys. A, 14 (1976), p. 1935

[44] J. Dobaczewski; W. Nazarewicz; M.V. Stoitsov 3rd Int. Conf. on Exotic Nuclei and Atomic Masses, ENAM 2001, Hameenlinna, Finlande, 2001, Eur. Phys. J. A, Volume 15 (2002), p. 21

[45] S.A. Fayans; D. Zawischa; S.A. Fayans; S.V. Tolokonnikov; E.L. Trykov; D. Zawischa Nucl. Phys. A, 383 (1996), p. 19

[46] D.L. Hill; J.A. Wheeler Phys. Rev., 89 (1953), p. 1102

[47] P. Bonche; J. Dobaczewski; H. Flocard; P.-H. Heenen; J. Meyer Nucl. Phys. A, 510 (1990), p. 466

[48] P.-H. Heenen; A. Valor; M. Bender; P. Bonche; H. Flocard; M. Bender; P.-H. Heenen; P.-G. Reinhard Rev. Mod. Phys., 11 (2001), p. 393

[49] P.-H. Heenen; P. Bonche; J. Dobaczewski; H. Flocard Nucl. Phys. A, 561 (1993), p. 367

[50] Th. Duguet; Th. Duguet; P. Bonche; Th. Duguet; P. Bonche | arXiv

[51] S.T. Belyaev; A.V. Smirnov; S.V. Tolokonnikov; S.A. Fayans Soviet J. Nucl. Phys., 45 (1987), p. 783

[52] J. Engel; K. Langanke; P. Vogel; A. Goodman; W. Satuła; R.A. Wyss; W. Satuła; R.A. Wyss; P. Vogel Nucl. Phys. A, 389 (1996), p. 211

[53] W. Satuła; D.J. Dean; J. Gary; S. Mizutori; W. Nazarewicz Phys. Lett. B, 407 (1997), p. 103

[54] W. Satuła Int. Conf. Nuclear Structure '98, Gatlinburg, USA, 1998 | arXiv

[55] W. Satuła; R.A. Wyss; W. Satuła; R.A. Wyss; S. Glowacz; W. Satuła; R.A. Wyss Phys. Rev. Lett., 32, 2001, p. 2441 | arXiv

[56] T. Suzuki; H. Sagawa; H. Sagawa; H. Esbensen Nucl. Phys. A, 46 (2001), p. 135

[57] W.R. Gibbs; J.-P. Dedonder; C.J. Horowitz; C.J. Horowitz; S.J. Pollock; P.A. Souder; R. Michaels Comptes-Rendus de la Qubec Intersections Conference, Phys. Rev. C, Volume 46 (1992), p. 1825 | arXiv

[58] R. Michaels, P.A. Souder, G.M. Urciuoli, Spokesmen, Proposal to Jefferson Laboratory

[59] N. Fukunishi; T. Otsuka; I. Tanihata Phys. Rev. C, 48 (1993), p. 1648

[60] S. Karataglidis; K. Amos; B.A. Brown; P.K. Deb Phys. Rev. C, 65 (2002), p. 044306

[61] M. Meyer; J.-P. Vivien Ann. Phys. France, 17 (1992), p. 11

[62] H. Grawe; M. Lewitowicz Nucl. Phys. A, 693 (2001), p. 116

[63] B. Crowell; et al.; B. Crowell; et al.; A.N. Wilson; et al.; P. Fallon et al. Phys. Rev. C, 333 (1994), p. 320

[64] F. Leblanc, private communication, 2002

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