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Towards an extended Gogny force

History, state of the art and perspectives

  • Regular Article - Theoretical Physics
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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.

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References

  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. 48

  2. J. Dechargé, D. Gogny, Phys. Rev. C 21, 1568 (1980)

    Article  ADS  Google Scholar 

  3. A.K. Kerman, J.P. Svenne, F.M.H. Villars, Phys. Rev. 147, 710 (1966)

    Article  ADS  Google Scholar 

  4. W.H. Bassichis, A.K. Kerman, J.P. Svenne, Phys. Rev. 160, 746 (1967)

    Article  ADS  Google Scholar 

  5. M.R. Strayer, PhD Thesis, Massachusetts Institute of Technology (1971, unpublished)

  6. D. Gogny, P. Pires, R. de Tourreil, Phys. Lett. B 32, 591 (1970)

    Article  ADS  Google Scholar 

  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)

  8. T.H.R Skyrme, Phil. Mag. 1, 1043 (1956)

    Article  ADS  Google Scholar 

  9. T.H.R Skyrme, Nucl. Phys. 9, 615 (1959)

    Article  Google Scholar 

  10. N.V. Giai, D. Vautherin, M. Vènèroni, D.M. Brink, Phys. Lett. B 35, 135 (1971)

    Article  ADS  Google Scholar 

  11. D. Vautherin, Thèse de Doctorat (Université de Paris, 1969, unpublished)

  12. D. Vautherin, M. Vénéroni, D.M. Brink, Phys. Lett. B 33, 381 (1970)

    Article  ADS  Google Scholar 

  13. D. Vautherin, D.M. Brink, Phys. Lett. B 32, 149 (1970)

    Article  ADS  Google Scholar 

  14. D. Vautherin, D.M. Brink, Phys. Rev. C 5, 626 (1972)

    Article  ADS  Google Scholar 

  15. D. Vautherin, D.M. Brink, Phys. Rev. C 7, 296 (1973)

    Article  ADS  Google Scholar 

  16. A.B. Volkov, Nucl. Phys. 74, 33 (1965)

    Article  Google Scholar 

  17. D.M. Brink, E. Boeker, Nucl. Phys. 91, 1 (1967)

    Article  Google Scholar 

  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. 333

  19. J.P. Blaizot, D. Gogny, Nucl. Phys. A 284, 429 (1977)

    Article  ADS  Google Scholar 

  20. D. Gogny, R. Padjen, Nucl. Phys. A 293, 365 (1977)

    Article  ADS  Google Scholar 

  21. D. Gogny, R. Padjen, in National Soviet Conference on Neutron Physics, Kiev, April 18-22, 1977

  22. J. Dechargé, D. Gogny, B. Grammaticos, L. Sips, Phys. Rev. Lett. 49, 982 (1982)

    Article  ADS  Google Scholar 

  23. J. Dechargé, L. Sips, Nucl. Phys. A 407, 1 (1983)

    Article  ADS  Google Scholar 

  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)

  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)

  26. J.-F. Berger, M. Girod, D. Gogny, Nucl. Phys. A 502, 85c (1989)

    Article  ADS  Google Scholar 

  27. J.-F. Berger, M. Girod, D. Gogny, Comput. Phys. Commun. 63, 365 (1991)

    Article  ADS  Google Scholar 

  28. H. Flocard, Ph. Quentin, D. Vautherin, M. Vénéroni, A. Kerman, Nucl. Phys. A 231, 176 (1974)

    Article  ADS  Google Scholar 

  29. A.K. Dutta, M. Kohno, Nucl. Phys. A 349, 455 (1980)

    Article  ADS  Google Scholar 

  30. H. Krivine, J. Treiner, O. Bohigas, Nucl. Phys. A 336, 155 (1980)

    Article  ADS  Google Scholar 

  31. J. Bartel, P. Quentin, M. Brack, C. Guet, H.-B. Hakansson, Nucl. Phys. A 386, 79 (1982)

    Article  ADS  Google Scholar 

  32. M. Brack, C. Guet, H.-B. Hakansson, Phys. Rep. 123, 275 (1985)

    Article  ADS  Google Scholar 

  33. J.-P. Delaroche, M. Girod, J. Libert, H. Goutte, S. Hilaire, S. Péru, N. Pillet, G. Bertsch, Phys. Rev. C 81, 014303 (2010)

    Article  ADS  Google Scholar 

  34. T.R. Rodríguez, J.L. Egido, Phys. Rev. Lett. 99, 062501 (2007)

    Article  ADS  Google Scholar 

  35. T.R. Rodríguez, J.L. Egido, Phys. Rev. C 81, 064323 (2010)

    Article  ADS  Google Scholar 

  36. N.L. Vaquero, T.R. Rodríguez, J.L. Egido, Phys. Lett. B 704, 520 (2011)

    Article  ADS  Google Scholar 

  37. N.L. Vaquero, J.L. Egido, T.R. Rodríguez, Phys. Rev. C 88, 064311 (2013)

    Article  ADS  Google Scholar 

  38. M. Borrajo, T.R. Rodríguez, J.L. Egido, Phys. Lett. B 746, 341 (2015)

    Article  ADS  Google Scholar 

  39. J.L. Egido, M. Borrajo, T.R. Rodríguez, Phys. Rev. Lett. 116, 052502 (2016)

    Article  ADS  Google Scholar 

  40. R.N. Bernard, L.M. Robledo, T.R. Rodríguez, Phys. Rev. C 93, 061302(R) (2016)

    Article  ADS  Google Scholar 

  41. B. Bucher et al., Phys. Rev. Lett. 118, 152504 (2017)

    Article  ADS  Google Scholar 

  42. F. Chappert, M. Girod, S. Hilaire, Phys. Lett. B 668, 420 (2008)

    Article  ADS  Google Scholar 

  43. S. Goriely, S. Hilaire, M. Girod, S. Péru, Phys. Rev. Lett. 102, 242501 (2009)

    Article  ADS  Google Scholar 

  44. T. Otsuka, T. Matsuo, D. Abe, Phys. Rev. Lett. 97, 162501 (2006)

    Article  ADS  Google Scholar 

  45. M. Anguiano, G. Co, V. De Donno, A.M. Lallena, Phys. Rev. C 83, 064306 (2011)

    Article  ADS  Google Scholar 

  46. M. Anguiano, M. Grasso, G. Cò, V. De Donno, A.M. Lallena, Phys. Rev. C 86, 054302 (2012)

    Article  ADS  Google Scholar 

  47. M. Grasso, M. Anguiano, Phys. Rev. C 88, 054328 (2013)

    Article  ADS  Google Scholar 

  48. M. Anguiano, A.M. Lallena, G. Cò, V. De Donno, M. Grasso, R.N. Bernard, Eur. Phys. J. A 52, 183 (2016)

    Article  ADS  Google Scholar 

  49. F. Chappert, Nouvelles paramétrisations de l’interaction nucléaire effective de Gogny, PhD Thesis (Université Paris-Sud XI, 2007)

  50. F. Chappert, N. Pillet, M. Girod, J.-F. Berger, Phys. Rev. C 91, 034312 (2015)

    Article  ADS  Google Scholar 

  51. N. Pillet, J.-F. Berger, E. Caurier, Phys. Rev. C 78, 024305 (2008)

    Article  ADS  Google Scholar 

  52. N. Pillet, V.G. Zelevinsky, M. Dupuis, J.-F. Berger, J.-M. Daugas, Phys. Rev. C 85, 044315 (2012)

    Article  ADS  Google Scholar 

  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)

    Article  Google Scholar 

  54. C. Robin, N. Pillet, D. Peña Arteaga, J.-F. Berger, Phys. Rev. C 93, 024302 (2016)

    Article  ADS  Google Scholar 

  55. C. Robin, N. Pillet, M. Dupuis, J. Le Bloas, D. Peña Arteaga, J.-F. Berger, Phys. Rev. C 95, 044315 (2017)

    Article  ADS  Google Scholar 

  56. N. Pillet, C. Robin, M. Dupuis, G. Hupin, J.-F. Berger, Eur. Phys. J. A 53, 49 (2017)

    Article  ADS  Google Scholar 

  57. E. Chabanat, P. Bonche, P. Haensel, J. Meyer, R. Schaeffer, Nucl. Phys. A 627, 710 (1997)

    Article  ADS  Google Scholar 

  58. E. Chabanat, P. Bonche, P. Haensel, J. Meyer, R. Schaeffer, Nucl. Phys. A 635, 231 (1998)

    Article  ADS  Google Scholar 

  59. M. Arnould, S. Goriely, K. Takahashi, Phys. Rep. 450, 97 (2007)

    Article  ADS  Google Scholar 

  60. A. Arcones, G.F. Bertsch, Phys. Rev. Lett. 108, 151101 (2012)

    Article  ADS  Google Scholar 

  61. G. Audi, A.H. Wapstra, Nucl. Phys. A 595, 409 (1995)

    Article  ADS  Google Scholar 

  62. G. Audi, A.H. Wapstra, C. Thibault, Nucl. Phys. A 729, 337 (2003)

    Article  ADS  Google Scholar 

  63. S. Péru, M. Girod, J.-F. Berger, Eur. Phys. J. A 9, 35 (2000)

    Article  ADS  Google Scholar 

  64. L. Gaudefroy, A. Obertelli, S. Péru, N. Pillet, S. Hilaire, J.-P. Delaroche, M. Girod, J. Libert, Phys. Rev. C 80, 064313 (2009)

    Article  ADS  Google Scholar 

  65. J.W. Negele, Phys. Rev. C 1, 1260 (1970)

    Article  ADS  Google Scholar 

  66. I. Angeli, K.P. Marinova, At. Data Nucl. Data Tables 99, 69 (2013)

    Article  ADS  Google Scholar 

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Communicated by N. Alamanos

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Pillet, N., Hilaire, S. Towards an extended Gogny force. Eur. Phys. J. A 53, 193 (2017). https://doi.org/10.1140/epja/i2017-12369-3

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