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Shell structure fingerprints of tensor interaction

  • Regular Article - Theoretical Physics
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Abstract

We address the consequences of strong tensor terms in the local energy density functional, resulting from fits to the f 5/2 -f 7/2 splittings in 40Ca , 48Ca , and 56Ni . In this study, we focus on the tensor contribution to the nuclear binding energy. In particular, we show that it exhibits an interesting topological feature closely resembling that of the shell correction. We demonstrate that in the extreme single-particle scenario at spherical shape, the tensor contribution shows tensorial magic numbers equal to N(Z) = 14 , 32, 56, and 90, and that this structure is smeared out due to configuration mixing caused by pairing correlations and migration of proton/neutron sub-shells with neutron/proton shell filling. Based on a specific Skyrme-type functional SLy4T, we show that the proton tensorial magic numbers shift with increasing neutron excess to Z = 14 , 28, and 50.

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References

  1. P. Hohenberg, W. Kohn, Phys. Rev. 136, B864 (1964); M. Levy, Proc. Natl. Acad. Sci. U.S.A. 76, 6062 (1979).

    Article  MathSciNet  ADS  Google Scholar 

  2. W. Kohn, L.J. Sham, Phys. Rev. 140, A1133 (1965).

    Article  MathSciNet  ADS  Google Scholar 

  3. J. Engel, Phys. Rev. C 75, 014306 (2007).

    Article  MathSciNet  ADS  Google Scholar 

  4. B.G. Giraud, Phys. Rev. C 77, 014311 (2008).

    Article  MathSciNet  ADS  Google Scholar 

  5. B.G. Giraud, B.K. Jennings, B.R. Barrett, Phys. Rev. A 78, 032507 (2008).

    Article  ADS  Google Scholar 

  6. T.H.R. Skyrme, Philos. Mag. 1, 1043 (1956); Nucl. Phys. 9, 615 (1959).

    Article  MATH  ADS  Google Scholar 

  7. B.G. Carlsson, J. Dobaczewski, M. Kortelainen, LANL eprint, arXiv:0807.4925.

  8. M. Kortelainen, J. Dobaczewski, K. Mizuyama, J. Toivanen, Phys. Rev. C 77, 064307 (2008).

    Article  ADS  Google Scholar 

  9. P. Klüpfel, P.-G. Reinhard, J.A. Maruhn, arXiv:0804.3402.

  10. M. Bender, P.-H. Heenen, P.-G. Reinhard, Rev. Mod. Phys. 75, 121 (2003).

    Article  ADS  Google Scholar 

  11. T. Lesinski, M. Bender, K. Bennaceur, T. Duguet, J. Meyer, Phys. Rev. C 76, 014312 (2007).

    Article  ADS  Google Scholar 

  12. B. Fornal, S. Zhu, R.V.F. Janssens, M. Honma, R. Broda, P.F. Mantica, B.A. Brown, M.P. Carpenter, P.J. Daly, S.J. Freeman, Z.W. Grabowski, N.J. Hammond, F.G. Kondev, W. Krolas, T. Lauritsen, S.N. Liddick, C.J. Lister, E.F. Moore, T. Otsuka, T. Pawlat, D. Seweryniak, B.E. Tomlin, J. Wrzesinski, Phys. Rev. C 70, 064304 (2004).

    Article  ADS  Google Scholar 

  13. D.-C. Dinca, R.V.F. Janssens, A. Gade, D. Bazin, R. Broda, B.A. Brown, C.M. Campbell, M.P. Carpenter, P. Chowdhury, J.M. Cook, A.N. Deacon, B. Fornal, S.J. Freeman, T. Glasmacher, M. Honma, F.G. Kondev, J.-L. Lecouey, S.N. Liddick, P.F. Mantica, W.F. Mueller, H. Olliver, T. Otsuka, J.R. Terry, B.A. Tomlin, K. Yoneda, Phys. Rev. C 71, 041302 (2005).

    Article  ADS  Google Scholar 

  14. T. Otsuka, T. Suzuki, R. Fujimoto, H. Grawe, Y. Akaish, Phys. Rev. Lett. 95, 232502 (2005).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  16. J. Dobaczewski, in Proceedings of the Third ANL/MSU/INT/JINA RIA Theory Workshop: Opportunities with Exotic Beams, Argonne, USA, April 4–7, 2006, edited by T. Duguet, H. Esbensen, K.M. Nollet, C.D. Roberts (World Scientific, Singapore, 2007) p. 152, nucl-th/0604043.

    Chapter  Google Scholar 

  17. B.A. Brown, T. Duguet, T. Otsuka, D. Abe, T. Suzuki, Phys. Rev. C 74, 061303(R) (2006).

    ADS  Google Scholar 

  18. J. Dobaczewski, N. Michel, W. Nazarewicz, M. Płoszajczak, J. Rotureau, Prog. Part. Nucl. Phys. 59, 432 (2007).

    Article  ADS  Google Scholar 

  19. S. Sugimoto, K. Ikeda, H. Toki, Phys. Rev. C 75, 014317 (2007).

    Article  ADS  Google Scholar 

  20. G. Colo, H. Sagawa, S. Fracasso, P.F. Bortignon, Phys. Lett. B 646, 227 (2007).

    Article  ADS  Google Scholar 

  21. D.M. Brink, Fl. Stancu, Phys. Rev. C 75, 064311 (2007).

    Article  ADS  Google Scholar 

  22. M. Zalewski, J. Dobaczewski, W. Satuła, T.R. Werner, Phys. Rev. C 77, 024316 (2008).

    Article  ADS  Google Scholar 

  23. W. Satuła, R.A. Wyss, M. Zalewski, Phys. Rev. 78, 011302(R) (2008).

    ADS  Google Scholar 

  24. M. Zalewski et al., in preparation.

  25. D. Brink, Fl. Stancu, H. Flocard, Phys. Lett. B 68, 108 (1977).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  27. A. Oros, PhD Thesis, University of Köln (1996).

  28. E. Chabanat, P. Bonche, P. Haensel, J. Meyer, R. Schaeffer, Nucl. Phys. A 627, 710 (1997); 635, 231 (1998).

    Article  ADS  Google Scholar 

  29. W. Satuła, M. Zalewski, J. Dobaczewski, P. Olbratowski, M. Rafalski, T.R. Werner, R.A. Wyss, LANL e-print: arXiv:0811.1139; to be published in Int. J. Mod. Phys. E.

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

    Article  ADS  Google Scholar 

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Authors and Affiliations

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

    M. Zalewski, W. Satuła, J. Dobaczewski, P. Olbratowski, M. Rafalski & T. R. Werner

  2. KTH (Royal Institute of Technology), AlbaNova University Center, 106 91, Stockholm, Sweden

    W. Satuła & R. A. Wyss

  3. Department of Physics, University of Jyväskylä, P.O. Box 35, FI-40014, (YFL), Finland

    J. Dobaczewski

Authors
  1. M. Zalewski
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  2. W. Satuła
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  3. J. Dobaczewski
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  4. P. Olbratowski
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  5. M. Rafalski
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  6. T. R. Werner
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  7. R. A. Wyss
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Correspondence to M. Zalewski.

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Communicated by W. Nazarewicz

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Zalewski, M., Satuła, W., Dobaczewski, J. et al. Shell structure fingerprints of tensor interaction. Eur. Phys. J. A 42, 577–581 (2009). https://doi.org/10.1140/epja/i2008-10768-1

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  • DOI: https://doi.org/10.1140/epja/i2008-10768-1

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