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A symmetry-conserving description of odd nuclei with the Gogny force

Particle number and angular-momentum projection with self-consistent blocking

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An Erratum to this article was published on 27 February 2017

Abstract.

We present an approach for the calculation of odd nuclei with exact self-consistent blocking and particle number and angular-momentum projection with the finite-range density-dependent Gogny force. As an application we calculate the nucleus 31Mg at the border of the N = 20 inversion island. We evaluate the ground-state properties, the excited states and the transition probabilities. In general we obtain a good description of the measured observables.

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References

  1. M. Bender et al., Rev. Mod. Phys. 75, 121 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  2. T. Nikišć, D. Vretenar, P. Ring, Prog. Part. Nucl. Phys. 66, 519 (2011)

    Article  ADS  Google Scholar 

  3. E. Caurier et al., Rev. Mod. Phys. 77, 427 (2005)

    Article  ADS  Google Scholar 

  4. P. Ring, P. Schuck, The Nuclear Many Body Problem (Springer-Verlag, Berlin, 1980)

  5. K.W. Schmid, F. Grümmer, Rep. Prog. Phys. 50, 731 (1987)

    Article  ADS  Google Scholar 

  6. K.W. Schmid, Prog. Part. Nucl. Phys. 52, 565 (2004)

    Article  ADS  Google Scholar 

  7. M. Bender, P.-H. Heenen, Phys. Rev. C 78, 024309 (2008)

    Article  ADS  Google Scholar 

  8. J.M. Yao et al., Phys. Rev. C 81, 044311 (2010)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  12. J.L. Egido, M. Borrajo, T.R. Rodriguez, Phys. Rev. Lett. 11, 052502 (2016)

    Article  ADS  Google Scholar 

  13. J. Libert, M. Girod, J.-P. Delaroche, Phys. Rev. C 60, 054301 (1999)

    Article  ADS  Google Scholar 

  14. L. Próchniak, P. Quentin, D. Samsoen, J. Libert, Nucl. Phys. A 730, 59 (2004)

    Article  ADS  Google Scholar 

  15. T. Nikišć, Z.P. Li, D. Vretenar, L. Prochniak, J. Meng, P. Ring, Phys. Rev. C 79, 034303 (2009)

    Article  ADS  Google Scholar 

  16. K. Sato, N. Hinohara, K. Yoshida, T. Nakatsukasa, M. Matsuo, K. Matsuyanagi, Phys. Rev. C 86, 024316 (2012)

    Article  ADS  Google Scholar 

  17. W.H. Bassichis, B. Giraud, G. Ripka, Phys. Rev. Lett. 15, 980 (1965)

    Article  ADS  Google Scholar 

  18. M.R. Gunye, C.S. Warke, Phys. Rev. 156, 1087 (1967)

    Article  ADS  Google Scholar 

  19. A.K. Rath, C.R. Praharaj, S.B. Khadkikar, Phys. Rev. C 47, 1990 (1993)

    Article  ADS  Google Scholar 

  20. K. Hara, S. Iwasaki, Nucl. Phys. A 430, 175 (1984)

    Article  ADS  Google Scholar 

  21. E. Hammaren, K.W. Schmid, F. Grummer, A. Faessler, B. Fladt, Nucl. Phys. A 437, 1 (1985)

    Article  ADS  Google Scholar 

  22. M. Kimura, Y. Taniguchi, Y. Kanada-Enyo, H. Horiuchi, K. Ikeda, Phys. Rev. C 87, 011301 (2013)

    Article  ADS  Google Scholar 

  23. Y. Kanada-Enyo, M. Kimura, in Clusters in Nuclei, edited by C. Beck, Lect. Notes Phys., Vol. 818 (Springer-Verlag, Heidelberg, 2010)

  24. T. Neff, H. Feldmeier, Eur. Phys. J. ST 156, 69 (2008)

    Article  Google Scholar 

  25. B. Bally, B. Avez, M. Bender, P.-H. Heenen, Phys. Rev. Lett. 113, 162501 (2014)

    Article  ADS  Google Scholar 

  26. M. Borrajo, J.L. Egido, submitted to Phys. Lett. B

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

    Article  ADS  Google Scholar 

  28. K. Kimura, Phys. Rev. C 75, 041302(R) (2007)

    Article  ADS  Google Scholar 

  29. E. Caurier, F. Nowacki, A. Poves, Phys. Rev. C 90, 014302 (2014)

    Article  ADS  Google Scholar 

  30. Gerda Neyens, Phys. Rev. C 84, 064310 (2011)

    Article  ADS  Google Scholar 

  31. H.J. Mang, Phys. Rep. C 18, 325 (1975)

    Article  ADS  Google Scholar 

  32. J.L. Egido, H.J. Mang, P. Ring, Nucl. Phys. A 334, 1 (1980)

    Article  ADS  Google Scholar 

  33. V.N. Fomenko, J. Phys. A 3, 8 (1970)

    Article  ADS  Google Scholar 

  34. J.L. Egido, J. Lessing, V. Martin, L.M. Robledo, Nucl. Phys. A 594, 70 (1995)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  36. M. Anguiano, J.L. Egido, L.M. Robledo, Nucl. Phys. A 683, 227 (2001)

    Article  ADS  Google Scholar 

  37. M. Anguiano, J.L. Egido, L.M. Robledo, Nucl. Phys. A 696, 467 (2001)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  39. J.L. Egido, Phys. Scr. 91, 073003 (2016)

    Article  ADS  Google Scholar 

  40. www.nndc.bnl.gov/ensdf/

  41. N. Lopez Vaquero, T.R. Rodríguez, J. Luis Egido, Phys. Lett. B 704, 520 (2011)

    Article  ADS  Google Scholar 

  42. G. Neyens et al., Phys. Rev. Lett. 94, 022501 (2005)

    Article  ADS  Google Scholar 

  43. M. Seidlitz et al., Phys. Lett. B 700, 181 (2011)

    Article  ADS  Google Scholar 

  44. G. Klotz et al., Phys. Rev. C 47, 2502 (1993)

    Article  ADS  Google Scholar 

  45. H. Mach, The 4th International Conference on Exotic Nuclei and Atomic Masses: Refereed and selected contributions (Springer, Berlin, Heidelberg, 2005) pp. 105--109

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Correspondence to J. L. Egido.

Additional information

Communicated by N. Alamanos

An erratum to this article is available at http://dx.doi.org/10.1140/epja/i2017-12233-6.

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Borrajo, M., Egido, J.L. A symmetry-conserving description of odd nuclei with the Gogny force. Eur. Phys. J. A 52, 277 (2016). https://doi.org/10.1140/epja/i2016-16277-8

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  • DOI: https://doi.org/10.1140/epja/i2016-16277-8

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