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Linear responses in time-dependent Hartree-Fock-Bogoliubov method with Gogny interaction

  • Regular Article - Theoretical Physics
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Abstract

A numerical method to integrate the time-dependent Hartree-Fock-Bogoliubov (TDHFB) equations with Gogny interaction is proposed. The feasibility of the TDHFB code is illustrated by the conservation of the energy, particle numbers, and center of mass in the small amplitude vibrations of 20O . The TDHFB code is applied to the isoscalar quadrupole and/or isovector dipole vibrations in the linear (small amplitude) region in oxygen isotopes, 18, 20, 22, 24O , titanium isotopes, 44, 50, 52, 54Ti , neon isotope, 26Ne , and magnesium isotopes, 24, 34Mg . The isoscalar quadrupole and isovector dipole strength functions are calculated from the expectation values of the isoscalar quadrupole and isovector dipole moments.

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References

  1. P. Ring, P. Schuck, The Nuclear Many-Body Problem (Springer-Verlag, N.Y., 1980)

  2. P. Bonche, S. Koonin, J.W. Negele, Phys. Rev. C 13, 1226 (1976)

    Article  ADS  Google Scholar 

  3. J.W. Negele, Rev. Mod. Phys. 54, 913 (1982)

    Article  ADS  Google Scholar 

  4. J.A. Maruhn, K.T.R. Davies, M.R. Strayer, Phys. Rev. C 31, 1289 (1985)

    Article  ADS  Google Scholar 

  5. A.S. Umar, M.R. Strayer, R.Y. Cusson, P.-G. Reinhard, D.A. Bromley, Phys. Rev. C 32, 172 (1985)

    Article  ADS  Google Scholar 

  6. A.S. Umar, V.E. Oberacker, Phys. Rev. C 73, 054607 (2006)

    Article  ADS  Google Scholar 

  7. Y. Iwata, T. Otsuka, J.A. Maruhn, N. Itagaki, Eur. Phys. J. A 42, 613 (2009)

    Article  ADS  Google Scholar 

  8. David Kedziora, Cédric Simenel, Phys. Rev. C 81, 044613 (2010)

    Article  Google Scholar 

  9. T. Nakatsukasa, K. Yabana, Phys. Rev. C 71, 024301 (2005)

    Article  ADS  Google Scholar 

  10. T. Nakatsukasa, T. Inakura, K. Yabana, Phys. Rev. C 76, 024318 (2007)

    Article  ADS  Google Scholar 

  11. T. Inakura, T. Nakatsukasa, K. Yabana, Phys. Rev. C 80, 044301 (2009)

    Article  ADS  Google Scholar 

  12. M. Matsuo, Nucl. Phys. A 696, 371 (2001)

    Article  MathSciNet  ADS  Google Scholar 

  13. K. Hagino, H. Sagawa, Nucl. Phys. A 695, 82 (2001)

    Article  ADS  MATH  Google Scholar 

  14. M. Bender, J. Dobaczewski, J. Engel, W. Nazarewicz, Phys. Rev. C 65, 054322 (2002)

    Article  ADS  Google Scholar 

  15. E. Khan, N. Sandulescu, M. Grasso, N.V. Giai, Phys. Rev. C 66, 024309 (2002)

    Article  ADS  Google Scholar 

  16. G. Giambrone, S. Sheit, F. Barranco, P.F. Bortignon, G. Colo, D. Sarchi, E. Vigezzi, Nucl. Phys. A 726, 3 (2003)

    Article  ADS  Google Scholar 

  17. M. Yamagami, N.V. Giai, Phys. Rev. C 69, 034301 (2004)

    Article  ADS  Google Scholar 

  18. S. Peru, J.F. Berger, P.F. Bortignon, Eur. Phys. J. A 26, 25 (2005)

    Article  ADS  Google Scholar 

  19. J. Terasaki, J. Engel, M. Bender, J. Dobaczewski, W. Nazarewicz, M. Stoitsov, Phys. Rev. C 71, 034310 (2005)

    Article  ADS  Google Scholar 

  20. K. Bennaceur, J. Dobaczewski, Comput. Phys. Commun. 168, 96 (2005)

    Article  ADS  Google Scholar 

  21. M. Stoitsov, J. Dobaczewski, W. Nazarewicz, P. Ring, Comput. Phys. Commun. 167, 43 (2005)

    Article  ADS  Google Scholar 

  22. S. Peru, H. Goutte, J.F. Berger, Nucl. Phys. A 788, 44 (2007)

    Article  ADS  Google Scholar 

  23. K. Yoshida, M. Yamagami, Phys. Rev. C 77, 044312 (2008)

    Article  ADS  Google Scholar 

  24. K. Yoshida, N.V. Giai, Phys. Rev. C 78, 064316 (2008)

    Article  ADS  Google Scholar 

  25. S. Peru, H. Goutte, Phys. Rev. C 77, 044313 (2008)

    Article  ADS  Google Scholar 

  26. J. Tovianen, B.G. Carlsson, J. Dobaczewski, K. Mizuyama, R.R. Rodriguez-Guzman, P. Tovianen, P. Vesely, Phys. Rev. C 81, 034312 (2010)

    Article  ADS  Google Scholar 

  27. C. Losa, A. Pastore, T. Døssing, E. Vigezzi, R.A. Broglia, Phys. Rev. C 81, 064307 (2010)

    Article  ADS  Google Scholar 

  28. Y. Hashimoto, K. Nodeki, arXiv:0707.3083 [nucl-th] (2007)

  29. B. Avez, C. Simenel, Ph. Chomaz, Phys. Rev. C 78, 044318 (2008)

    Article  ADS  Google Scholar 

  30. S. Ebata, T. Nakatsukasa, T. Inakura, K. Yoshida, Y. Hashimoto, K. Yabana, Phys. Rev. C 82, 034306 (2010)

    Article  ADS  Google Scholar 

  31. P.J. Borycki, J. Dobaczewski, W. Nazarewicz, M.V. Stoitsov, Phys. Rev. C 73, 044319 (2006)

    Article  ADS  Google Scholar 

  32. A. Bulgac, Phys. Rev. C 41, 2333 (1990)

    Article  ADS  Google Scholar 

  33. H. Flocard, S.E. Koonin, M.S. Weiss, Phys. Rev. C 17, 1682 (1978)

    Article  ADS  Google Scholar 

  34. D. Gogny, Nucl. Phys. A 237, 399 (1975)

    Article  MathSciNet  ADS  Google Scholar 

  35. J. Decharge, D. Gogny, Phys. Rev. C 21, 1568 (1980)

    Article  ADS  Google Scholar 

  36. M. Girod, G. Grammaticos, Phys. Rev. C 27, 2317 (1983)

    Article  ADS  Google Scholar 

  37. S. Raman, C.W. Nestor jr., P. Tikkanen, At. Data Nucl. Data Tables 78, 1 (2001)

    Article  ADS  Google Scholar 

  38. N. Frank et al., Nucl. Phys. A 813, 199 (2008)

    Article  ADS  Google Scholar 

  39. C.R. Hoffman et al., Phys. Lett. B 672, 17 (2009)

    Article  ADS  Google Scholar 

  40. A. Obertelli, S. Peru, J.-P. Delaroche, A. Gillibert, M. Girod, H. Goutte, Phys. Rev. C 71, 024304 (2005)

    Article  ADS  Google Scholar 

  41. D.R. Tilley, H.R. Weller, C.M. Cheves, R.M. Chasteler, Nucl. Phys. A 595, 1 (1995)

    Article  ADS  Google Scholar 

  42. A. Leistenschneider et al., Phys. Rev. Lett. 86, 5442 (2001)

    Article  ADS  Google Scholar 

  43. J.J. Simpson, W.R. Dixon, R.S. Storey, Phys. Rev. Lett. 31, 946 (1973)

    Article  ADS  Google Scholar 

  44. R.V.F. Janssens et al., Phys. Lett. B 546, 55 (2002)

    Article  ADS  Google Scholar 

  45. J. Gibelin et al., Phys. Rev. Lett. 101, 212503 (2008)

    Article  ADS  Google Scholar 

  46. S. Hilaire, M. Girod, http://www-phynu.cea.fr/science_en_ligne/carte_potentiels_microscopiques/carte_potentiel_nucleaire_eng.htm

  47. P.M. Endt, Nucl. Phys. A 521, 1 (1990)

    Article  ADS  Google Scholar 

  48. A. Bohr, B.R. Mottelson, Nuclear Structure, Vol. II (Benjamin, N.Y., 1975)

  49. V. Varlamov, B.S. Ishkhanov, I.M. Kapitonov, Yu.I. Prokopchuk, V.I. Shvedunov, Yad. Fiz. 30, 1185 (1979) Sov. J. Nucl. Phys. 30

    Google Scholar 

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Communicated by A. Schwenk

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Hashimoto, Y. Linear responses in time-dependent Hartree-Fock-Bogoliubov method with Gogny interaction. Eur. Phys. J. A 48, 55 (2012). https://doi.org/10.1140/epja/i2012-12055-0

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