Towards an extended Gogny force

History, state of the art and perspectives
Regular Article - Theoretical Physics
Part of the following topical collections:
  1. Finite range effective interactions and associated many-body methods - A tribute to Daniel Gogny

Abstract.

In this paper, we present a recent evolution of the analytical form of the Gogny force. The extension of the density-dependent term to a finite range is discussed and has led to the D2 Gogny force. A global refitting of the force has been done but preserving standard good properties of the Gogny force. Indeed the same fitting procedure with the same constraints and filters which have been used to obtain the D1-type parametrizations has been applied. The evolution of global properties (binding energies and nuclear radii) along the N = 8, 20, 28, 40 isotopic chains is discussed at the Hartree-Fock-Bogoliubov approximation level. Results coming from systematic calculations based on 1385 nuclei are also presented. Axial symmetry has been assumed. A comparison with the results obtained using the D1S parametrization, which tends to show that the D2 and the D1S Gogny force display very similar axial deformation properties, is done.

References

  1. 1.
    D. Gogny, in Proceeding of the International Conference on Nuclear Physics, Munich edited by J. De Boer and H.J. Mang, Vol. 1 (North Holland, Amsterdam, 1973) p. 48Google Scholar
  2. 2.
    J. Dechargé, D. Gogny, Phys. Rev. C 21, 1568 (1980)ADSCrossRefGoogle Scholar
  3. 3.
    A.K. Kerman, J.P. Svenne, F.M.H. Villars, Phys. Rev. 147, 710 (1966)ADSCrossRefGoogle Scholar
  4. 4.
    W.H. Bassichis, A.K. Kerman, J.P. Svenne, Phys. Rev. 160, 746 (1967)ADSCrossRefGoogle Scholar
  5. 5.
    M.R. Strayer, PhD Thesis, Massachusetts Institute of Technology (1971, unpublished)Google Scholar
  6. 6.
    D. Gogny, P. Pires, R. de Tourreil, Phys. Lett. B 32, 591 (1970)ADSCrossRefGoogle Scholar
  7. 7.
    M. Maire, Etude des propriétés de l’état fondamental des noyaux sphériques, par la méthode des perturbations, avec une interaction nucléon-nucléon réaliste et non singulière (Thèse de Doctorat, Université Paris-Sud, 1976)Google Scholar
  8. 8.
    T.H.R Skyrme, Phil. Mag. 1, 1043 (1956)ADSCrossRefGoogle Scholar
  9. 9.
    T.H.R Skyrme, Nucl. Phys. 9, 615 (1959)CrossRefGoogle Scholar
  10. 10.
    N.V. Giai, D. Vautherin, M. Vènèroni, D.M. Brink, Phys. Lett. B 35, 135 (1971)ADSCrossRefGoogle Scholar
  11. 11.
    D. Vautherin, Thèse de Doctorat (Université de Paris, 1969, unpublished)Google Scholar
  12. 12.
    D. Vautherin, M. Vénéroni, D.M. Brink, Phys. Lett. B 33, 381 (1970)ADSCrossRefGoogle Scholar
  13. 13.
    D. Vautherin, D.M. Brink, Phys. Lett. B 32, 149 (1970)ADSCrossRefGoogle Scholar
  14. 14.
    D. Vautherin, D.M. Brink, Phys. Rev. C 5, 626 (1972)ADSCrossRefGoogle Scholar
  15. 15.
    D. Vautherin, D.M. Brink, Phys. Rev. C 7, 296 (1973)ADSCrossRefGoogle Scholar
  16. 16.
    A.B. Volkov, Nucl. Phys. 74, 33 (1965)CrossRefGoogle Scholar
  17. 17.
    D.M. Brink, E. Boeker, Nucl. Phys. 91, 1 (1967)CrossRefGoogle Scholar
  18. 18.
    D. Gogny, in Proceedings of the International Conference on Nuclear Self-Consistent Fields, Trieste, edited by G. Ripka, M. Porneuf (North-Holland, Amsterdam, 1975) p. 333Google Scholar
  19. 19.
    J.P. Blaizot, D. Gogny, Nucl. Phys. A 284, 429 (1977)ADSCrossRefGoogle Scholar
  20. 20.
    D. Gogny, R. Padjen, Nucl. Phys. A 293, 365 (1977)ADSCrossRefGoogle Scholar
  21. 21.
    D. Gogny, R. Padjen, in National Soviet Conference on Neutron Physics, Kiev, April 18-22, 1977Google Scholar
  22. 22.
    J. Dechargé, D. Gogny, B. Grammaticos, L. Sips, Phys. Rev. Lett. 49, 982 (1982)ADSCrossRefGoogle Scholar
  23. 23.
    J. Dechargé, L. Sips, Nucl. Phys. A 407, 1 (1983)ADSCrossRefGoogle Scholar
  24. 24.
    J.-P. Blaizot, D. Gogny, in Proceedings of the International Conference on Nuclear Self-Consistent Fields, Trieste, edited by G. Ripka, M. Porneuf (North-Holland, Amsterdam, 1975)Google Scholar
  25. 25.
    M. Girod, D. Gogny, B. Grammaticos, in 7 ième session d’études biennale de physique nucléaire (Aussois, 14-18 Mars 1983) (IPN Lyon, 1983)Google Scholar
  26. 26.
    J.-F. Berger, M. Girod, D. Gogny, Nucl. Phys. A 502, 85c (1989)ADSCrossRefGoogle Scholar
  27. 27.
    J.-F. Berger, M. Girod, D. Gogny, Comput. Phys. Commun. 63, 365 (1991)ADSCrossRefGoogle Scholar
  28. 28.
    H. Flocard, Ph. Quentin, D. Vautherin, M. Vénéroni, A. Kerman, Nucl. Phys. A 231, 176 (1974)ADSCrossRefGoogle Scholar
  29. 29.
    A.K. Dutta, M. Kohno, Nucl. Phys. A 349, 455 (1980)ADSCrossRefGoogle Scholar
  30. 30.
    H. Krivine, J. Treiner, O. Bohigas, Nucl. Phys. A 336, 155 (1980)ADSCrossRefGoogle Scholar
  31. 31.
    J. Bartel, P. Quentin, M. Brack, C. Guet, H.-B. Hakansson, Nucl. Phys. A 386, 79 (1982)ADSCrossRefGoogle Scholar
  32. 32.
    M. Brack, C. Guet, H.-B. Hakansson, Phys. Rep. 123, 275 (1985)ADSCrossRefGoogle Scholar
  33. 33.
    J.-P. Delaroche, M. Girod, J. Libert, H. Goutte, S. Hilaire, S. Péru, N. Pillet, G. Bertsch, Phys. Rev. C 81, 014303 (2010)ADSCrossRefGoogle Scholar
  34. 34.
    T.R. Rodríguez, J.L. Egido, Phys. Rev. Lett. 99, 062501 (2007)ADSCrossRefGoogle Scholar
  35. 35.
    T.R. Rodríguez, J.L. Egido, Phys. Rev. C 81, 064323 (2010)ADSCrossRefGoogle Scholar
  36. 36.
    N.L. Vaquero, T.R. Rodríguez, J.L. Egido, Phys. Lett. B 704, 520 (2011)ADSCrossRefGoogle Scholar
  37. 37.
    N.L. Vaquero, J.L. Egido, T.R. Rodríguez, Phys. Rev. C 88, 064311 (2013)ADSCrossRefGoogle Scholar
  38. 38.
    M. Borrajo, T.R. Rodríguez, J.L. Egido, Phys. Lett. B 746, 341 (2015)ADSCrossRefGoogle Scholar
  39. 39.
    J.L. Egido, M. Borrajo, T.R. Rodríguez, Phys. Rev. Lett. 116, 052502 (2016)ADSCrossRefGoogle Scholar
  40. 40.
    R.N. Bernard, L.M. Robledo, T.R. Rodríguez, Phys. Rev. C 93, 061302(R) (2016)ADSCrossRefGoogle Scholar
  41. 41.
    B. Bucher et al., Phys. Rev. Lett. 118, 152504 (2017)ADSCrossRefGoogle Scholar
  42. 42.
    F. Chappert, M. Girod, S. Hilaire, Phys. Lett. B 668, 420 (2008)ADSCrossRefGoogle Scholar
  43. 43.
    S. Goriely, S. Hilaire, M. Girod, S. Péru, Phys. Rev. Lett. 102, 242501 (2009)ADSCrossRefGoogle Scholar
  44. 44.
    T. Otsuka, T. Matsuo, D. Abe, Phys. Rev. Lett. 97, 162501 (2006)ADSCrossRefGoogle Scholar
  45. 45.
    M. Anguiano, G. Co, V. De Donno, A.M. Lallena, Phys. Rev. C 83, 064306 (2011)ADSCrossRefGoogle Scholar
  46. 46.
    M. Anguiano, M. Grasso, G. Cò, V. De Donno, A.M. Lallena, Phys. Rev. C 86, 054302 (2012)ADSCrossRefGoogle Scholar
  47. 47.
    M. Grasso, M. Anguiano, Phys. Rev. C 88, 054328 (2013)ADSCrossRefGoogle Scholar
  48. 48.
    M. Anguiano, A.M. Lallena, G. Cò, V. De Donno, M. Grasso, R.N. Bernard, Eur. Phys. J. A 52, 183 (2016)ADSCrossRefGoogle Scholar
  49. 49.
    F. Chappert, Nouvelles paramétrisations de l’interaction nucléaire effective de Gogny, PhD Thesis (Université Paris-Sud XI, 2007)Google Scholar
  50. 50.
    F. Chappert, N. Pillet, M. Girod, J.-F. Berger, Phys. Rev. C 91, 034312 (2015)ADSCrossRefGoogle Scholar
  51. 51.
    N. Pillet, J.-F. Berger, E. Caurier, Phys. Rev. C 78, 024305 (2008)ADSCrossRefGoogle Scholar
  52. 52.
    N. Pillet, V.G. Zelevinsky, M. Dupuis, J.-F. Berger, J.-M. Daugas, Phys. Rev. C 85, 044315 (2012)ADSCrossRefGoogle Scholar
  53. 53.
    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)CrossRefGoogle Scholar
  54. 54.
    C. Robin, N. Pillet, D. Peña Arteaga, J.-F. Berger, Phys. Rev. C 93, 024302 (2016)ADSCrossRefGoogle Scholar
  55. 55.
    C. Robin, N. Pillet, M. Dupuis, J. Le Bloas, D. Peña Arteaga, J.-F. Berger, Phys. Rev. C 95, 044315 (2017)ADSCrossRefGoogle Scholar
  56. 56.
    N. Pillet, C. Robin, M. Dupuis, G. Hupin, J.-F. Berger, Eur. Phys. J. A 53, 49 (2017)ADSCrossRefGoogle Scholar
  57. 57.
    E. Chabanat, P. Bonche, P. Haensel, J. Meyer, R. Schaeffer, Nucl. Phys. A 627, 710 (1997)ADSCrossRefGoogle Scholar
  58. 58.
    E. Chabanat, P. Bonche, P. Haensel, J. Meyer, R. Schaeffer, Nucl. Phys. A 635, 231 (1998)ADSCrossRefGoogle Scholar
  59. 59.
    M. Arnould, S. Goriely, K. Takahashi, Phys. Rep. 450, 97 (2007)ADSCrossRefGoogle Scholar
  60. 60.
    A. Arcones, G.F. Bertsch, Phys. Rev. Lett. 108, 151101 (2012)ADSCrossRefGoogle Scholar
  61. 61.
    G. Audi, A.H. Wapstra, Nucl. Phys. A 595, 409 (1995)ADSCrossRefGoogle Scholar
  62. 62.
    G. Audi, A.H. Wapstra, C. Thibault, Nucl. Phys. A 729, 337 (2003)ADSCrossRefGoogle Scholar
  63. 63.
    S. Péru, M. Girod, J.-F. Berger, Eur. Phys. J. A 9, 35 (2000)ADSCrossRefGoogle Scholar
  64. 64.
    L. Gaudefroy, A. Obertelli, S. Péru, N. Pillet, S. Hilaire, J.-P. Delaroche, M. Girod, J. Libert, Phys. Rev. C 80, 064313 (2009)ADSCrossRefGoogle Scholar
  65. 65.
    J.W. Negele, Phys. Rev. C 1, 1260 (1970)ADSCrossRefGoogle Scholar
  66. 66.
    I. Angeli, K.P. Marinova, At. Data Nucl. Data Tables 99, 69 (2013)ADSCrossRefGoogle Scholar

Copyright information

© SIF, Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.CEA, DAM, DIFArpajon cedexFrance

Personalised recommendations