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Shell-model description of weakly bound and unbound nuclear states

  • ENAM 2004
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The European Physical Journal A - Hadrons and Nuclei Aims and scope Submit manuscript

Abstract.

A consistent description of weakly bound and unbound nuclei requires an accurate description of the particle continuum properties when carrying out multiconfiguration mixing. This is the domain of the Gamow Shell Model (GSM) which is the multiconfigurational shell model in the complex k-plane formulated using a complete Berggren ensemble representing bound single-particle (s.p.) states, s.p. resonances, and non-resonant complex energy continuum states. We shall discuss the salient features of effective interactions in weakly bound systems and show selected applications of the GSM formalism to p-shell nuclei. Finally, a development of the new non-perturbative scheme based on Density Matrix Renormalization Group methods to select the most significant continuum configurations in GSM calculations will be discussed shortly.

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References

  1. J. Dobaczewski, W. Nazarewicz, Philos. Trans. R. Soc. London, Ser. A 356, 2007 (1998).

    Google Scholar 

  2. J. Okołowicz, M. Płoszajczak, I. Rotter, Phys. Rep. 374, 271 (2003).

    Article  Google Scholar 

  3. N. Michel, W. Nazarewicz, M. Płoszajczak, K. Bennaceur, Phys. Rev. Lett. 89, 042502 (2002).

    Article  PubMed  Google Scholar 

  4. N. Michel, W. Nazarewicz, M. Płoszajczak, J. Okołowicz, Phys. Rev. C 67, 054311 (2003).

    Article  Google Scholar 

  5. N. Michel, W. Nazarewicz, M. Płoszajczak, Phys. Rev. C 70, 064313 (2004).

    Article  Google Scholar 

  6. N. Michel, W. Nazarewicz, M. Płoszajczak, J. Okołowicz, J. Rotureau, Acta Phys. Pol. B 35, 1249 (2004).

    Google Scholar 

  7. N. Michel, W. Nazarewicz, M. Płoszajczak, J. Rotureau, arXiv:nucl-th/0401036.

  8. R.I. Betan, R.J. Liotta, N. Sandulescu, T. Vertse, Phys. Rev. Lett. 89, 042501 (2002).

    Article  PubMed  Google Scholar 

  9. R.I. Betan, R.J. Liotta, N. Sandulescu, T. Vertse, Phys. Rev. C 67, 014322 (2003).

    Article  Google Scholar 

  10. T. Berggren, Nucl. Phys. A 109, 265 (1968).

    Article  Google Scholar 

  11. G. Hagen, M. Hjorth-Jensen, J.S. Vaagen, arXiv:nucl-th/0410114.

  12. Y. Luo, J. Okołowicz, M. Płoszajczak, N. Michel, arXiv:nucl-th/0201073.

  13. N. Michel, W. Nazarewicz, J. Okołowicz, M. Płoszajczak, Proceedings of the International Nuclear Physics Conference (INPC 2004), (Elsevier B.V., Amsterdam, 2005).

  14. K. Bennaceur, F. Nowacki, J. Okołowicz, M. Płoszajczak, Nucl. Phys. A 651, 289 (1999)

    Article  Google Scholar 

  15. A. Zuker, Phys. Rev. Lett. 90, 042502 (2003).

    Article  PubMed  Google Scholar 

  16. N. Michel, W. Nazarewicz, M. Płoszajczak, these proceedings.

  17. T. Berggren, Phys. Lett. B 373, 1 (1996).

    Article  Google Scholar 

  18. S.R. White, Phys. Rev. B 48, 10345 (1993).

    Article  Google Scholar 

  19. J. Dukelsky, S. Pittel, S.S. Dimitrova, M.V. Stoitsov, Phys. Rev. C 65, 054319 (2002).

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Physics and Astronomy, University of Tennessee, 37996, Knoxville, TN, USA

    N. Michel & W. Nazarewicz

  2. Physics Division, Oak Ridge National Laboratory, P.O. Box 2008, 37831, Oak Ridge, TN, USA

    N. Michel & W. Nazarewicz

  3. Joint Institute for Heavy Ion Research, 37831, Oak Ridge, TN, USA

    N. Michel

  4. Institute of Theoretical Physics, Warsaw University, ul. Hoża 69, 00-681, Warsaw, Poland

    W. Nazarewicz

  5. Grand Accélérateur National d’Ions Lourds (GANIL), CEA/DSM-CNRS/IN2P3, BP 55027, F-14076, Caen Cedex 05, France

    M. Płoszajczak & J. Rotureau

Authors
  1. N. Michel
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  2. W. Nazarewicz
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  3. M. Płoszajczak
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  4. J. Rotureau
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Michel, N., Nazarewicz, W., Płoszajczak, M. et al. Shell-model description of weakly bound and unbound nuclear states. Eur. Phys. J. A 25 (Suppl 1), 493–498 (2005). https://doi.org/10.1140/epjad/i2005-06-136-7

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  • DOI: https://doi.org/10.1140/epjad/i2005-06-136-7

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