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Continuum Random Phase Approximation with finite-range interactions

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Abstract.

We rewrite the Random Phase Approximation secular equations in a form which allows the treatment of the continuum part of the single-particle spectrum without approximations. Within this formalism finite-range interactions can be used without restrictions. We present some results, obtained with Gogny interactions, where the role of the continuum is relevant.

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References

  1. P. Ring, P. Schuck, The Nuclear Many-body Problem (Springer, Berlin, 1980)

  2. S. Shlomo, G.F. Bertsch, Nucl. Phys. A 243, 507 (1975)

    Article  ADS  Google Scholar 

  3. N. Van Giai, H. Sagawa, Nucl. Phys. A 371, 1 (1981)

    Article  ADS  Google Scholar 

  4. N. Auerbach, A. Klein, Nucl. Phys. A 395, 77 (1983)

    Article  ADS  Google Scholar 

  5. M. Waroquier et al., Phys. Rep. 148, 249 (1987)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  7. K. Mizuyama, G. Colò, E. Vigezzi, Phys. Rev. C 86, 034318 (2012)

    Article  ADS  Google Scholar 

  8. I. Hamamoto, H. Sagawa, Phys. Rev. C 60, 064314 (1999)

    Article  ADS  Google Scholar 

  9. A.M. Saruis, Phys. Rep. 235, 57 (1993)

    Article  ADS  Google Scholar 

  10. R. de Haro, S. Krewald, J. Speth, Nucl. Phys. A 388, 265 (1982)

    Article  ADS  Google Scholar 

  11. A.L. Fetter, J.D. Walecka, Quantum Theory of Many-particle Systems (McGraw-Hill, S. Francisco, 1971)

  12. M. Buballa, S. Drozdz, S. Krewald, J. Speth, Ann. Phys. 208, 346 (1991)

    Article  ADS  Google Scholar 

  13. V. De Donno, Nuclear excited states within the Random Phase Approximation theory, PhD Thesis, Università del Salento (Italy) (2008) available at the following address:http://www.fisica.unisalento.it/~gpco/stud.html

  14. V. De Donno, G. Co’, M. Anguiano, A.M. Lallena, Phys. Rev. C 83, 044324 (2011)

    Article  ADS  Google Scholar 

  15. V. De Donno, G. Co’, M. Anguiano, A.M. Lallena, Phys. Rev. C 93, 034320 (2016)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  18. M. Anguiano, A.M. Lallena, G. Co’, V. De Donno, M. Grasso, R.N. Bernard, this Topical Issue

  19. A.R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University Press, Princeton, 1957)

  20. G. Rawitscher, Phys. Rev. C. 25, 2196 (1982)

    Article  ADS  Google Scholar 

  21. J. Ahrens et al., Nucl. Phys. A 251, 479 (1975)

    Article  ADS  Google Scholar 

  22. Y.M. Arkatov et al., Yad. Konst. 4, 55 (1979)

    Google Scholar 

  23. T. Shima, S. Naito, Y. Nagai, T. Baba, K. Tamura, T. Takahashi, T. Kii, H. Ohgaki, H. Toyokawa, Phys. Rev. C 72, 044004 (2005)

    Article  ADS  Google Scholar 

  24. B. Nilsson et al., Phys. Lett. B 626, 65 (2005)

    Article  ADS  Google Scholar 

  25. D. Gazit, S. Bacca, N. Barnea, W. Leidemann, G. Orlandini, Phys. Rev. Lett. 96, 112301 (2006)

    Article  ADS  Google Scholar 

  26. J.E. Amaro, G. Co’, A.M. Lallena, Ann. Phys. (N.Y.) 221, 306 (1993)

    Article  ADS  Google Scholar 

  27. A.Yu. Buki, I.S. Timchenko, N.G. Shevchenko, I.A. Nenko, Phys. Lett. B 641, 156 (2006)

    Article  ADS  Google Scholar 

  28. K.F. von Reden et al., Phys. Rev. C 41, 1084 (1990)

    Article  ADS  Google Scholar 

  29. A. Zghiche et al., Nucl. Phys. A 572, 513 (1994)

    Article  ADS  Google Scholar 

  30. S. Bacca, H. Arenhövel, N. Barnea, W. Leidemann, G. Orlandini, Phys. Rev. C 76, 014003 (2007)

    Article  ADS  Google Scholar 

  31. S. Bacca, N. Barnea, W. Leidemann, G. Orlandini, Phys. Rev. Lett. 102, 162501 (2009)

    Article  ADS  Google Scholar 

  32. S. Bacca, N. Barnea, W. Leidemann, G. Orlandini, Phys. Rev. C 80, 064001 (2009)

    Article  ADS  Google Scholar 

  33. M. Martini, G. Co’, M. Anguiano, A.M. Lallena, Phys. Rev. C 75, 034604 (2007)

    Article  ADS  Google Scholar 

  34. A. Botrugno, G. Co’, Nucl. Phys. A 761, 200 (2005)

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Dipartimento di Fisica “E. De Giorgi”, Università del Salento, Lecce, Italy

    Giampaolo Co’ & Viviana De Donno

  2. INFN, Sezione di Lecce, Lecce, Italy

    Giampaolo Co’

  3. Departamento de Fısica Atómica, Molecular y Nuclear, Universidad de Granada, E-18071, Granada, Spain

    Marta Anguiano & Antonio M. Lallena

Authors
  1. Giampaolo Co’
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  2. Viviana De Donno
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  3. Marta Anguiano
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  4. Antonio M. Lallena
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Corresponding author

Correspondence to Giampaolo Co’.

Additional information

Communicated by N. Alamanos

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Co’, G., De Donno, V., Anguiano, M. et al. Continuum Random Phase Approximation with finite-range interactions. Eur. Phys. J. A 52, 145 (2016). https://doi.org/10.1140/epja/i2016-16145-7

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  • DOI: https://doi.org/10.1140/epja/i2016-16145-7

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