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Algebraic approaches in nuclear physics

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Czechoslovak Journal of Physics Aims and scope

Abstract

In these lectures I discuss algebraic approaches in nuclear physics. The emphasis is on aspects that can not be found in the same form in other publications of the subject. We discuss the relation between bosons and fermions, as well as some of the standard formalism underlying all algebraic models in nuclear physics. We then contrast fermionic and bosonic models. We end with a case study on supersymmetry in superdeformed nuclei.

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References

  1. G. Racah: Phys. Rev.63 (1943) 367.

    Article  ADS  Google Scholar 

  2. J.P. Elliott: Proc. Roy. Soc. A245 (1958) 128; 562.

    Article  ADS  Google Scholar 

  3. R.F. Casten (ed.):Algebraic Approaches to Nuclear Structure: Interacting Boson and Fermion Models. Harwood Academic, Chur, 1993.

    Google Scholar 

  4. F. Iachello and A. Arima:The Interacting Boson Model. Cambridge University Press, 1987.

  5. D. Bonatsos:Interacting Boson Models of Nuclear Structure. Clarendon Press, Oxford, 1988.

    Google Scholar 

  6. F. Iachello and P. van Isacker:The Interacting Boson-Fermion Model. Cambridge University Press, 1991.

  7. F. Iachello: Riv. Nuovo Cim.19 (1997) 1.

    Article  MathSciNet  Google Scholar 

  8. E. Merzbacher:Quantum Mechanics. Wiley, New York, 1971.

    Google Scholar 

  9. B.G. Wybourne:Classical Groups for Physicists. Wiley, New York, 1974.

    MATH  Google Scholar 

  10. P.J. Brussaard and P.W.M. Glaudemans:Shell-model Applications in Nuclear Spectroscopy. North-Holland, Amsterdam, 1977.

    Google Scholar 

  11. A. Klein and E.R. Marshalek: Rev. Mod. Phys.63 (1001) 375.

  12. J.N. Ginocchio and C.W. Johnson: Phys. Rev. C51 (1995) 1861.

    Article  ADS  Google Scholar 

  13. K.T. Hecht:The Vector Coherent State Method and its Application to Problems of Higher Symmetries. Springer, Berlin, 1987.

    Google Scholar 

  14. D. Bonatsos, C. Daskaloyannis, P. Kolokotronis, and D. Lenis: Rom. J. Phys.41 (1996) 109.

    MathSciNet  Google Scholar 

  15. J.P. Draayer: in Ref. 3, p. 423.

    Google Scholar 

  16. R.D. Ratna Raju, J.P. Draayer, and K.T. Hecht: Nucl. Phys. A202 (1973) 433.

    Article  ADS  Google Scholar 

  17. C. Bahri, J.P. Draayer, and S.A. Moszkowski: Phys. Rev. Lett.68 (1992) 2133.

    Article  ADS  Google Scholar 

  18. D.J. Rowe: Prog. Part. Nucl. Phys.37 (1996) 265.

    Article  MathSciNet  ADS  Google Scholar 

  19. J.N. Ginocchio: Phys. Rev. Lett.78 (1997) 436.

    Article  ADS  Google Scholar 

  20. A. Bohr and B.R. Mottelson:Nuclear Structure. World Scientific, Singapore, 1998.

    Google Scholar 

  21. D. Janssen, R.V. Jolos and F.D. Dönau: Nucl. Phys. A224 (1974) 93.

    Article  ADS  Google Scholar 

  22. F. Iachello: inProc. Int. Conf. on Nuclear Structure (ed. by H.P. Blok and A.E.L. Dieperink). Scholar’s Press, Amsterdam, 1974.

    Google Scholar 

  23. A. Arima and F. Iachello: Phys. Rev. Lett.35 (1975) 1069.

    Article  ADS  Google Scholar 

  24. D. Kusnezov: Phys. Rev. Lett.79 (1997) 537.

    Article  ADS  Google Scholar 

  25. R.F. Casten and D.H. Feng: Phys. Today37 (1984) 26.

    Article  Google Scholar 

  26. A.E.L. Dieperink and R. Bijker: Phys. Lett. B116 (1982) 77;

    Article  ADS  Google Scholar 

  27. N.R. Walet and P.J. Brussaard: Nucl. Phys. A474 (1987) 61.

    Article  ADS  Google Scholar 

  28. A. Van Egmond and K. Allaart: Nucl. Phys. A425 (1984) 275.

    Article  ADS  Google Scholar 

  29. H. Nakada and T. Otsuka: Phys. Rev. C55 (1997) 748.

    Article  ADS  Google Scholar 

  30. J.P. Elliott: Rep. Prog. Phys.48 (1985) 171.

    Article  ADS  Google Scholar 

  31. J. Ginocchio: Phys. Rev. Lett.77 (1996) 27.

    ADS  Google Scholar 

  32. J.P. Elliott, J.A. Evans, V.S. Lac, and G.L. Long: Nucl. Phys. A609 (1996) 1.

    Article  ADS  Google Scholar 

  33. M. Sugita: Phys. Lett. B394 (1997) 235.

    Article  ADS  Google Scholar 

  34. P. van Isacker and D. Warner: Phys. Rev. Lett.78 (1997) 3266.

    Article  ADS  Google Scholar 

  35. D.H. Feng, C.-L. Wu and M.W. Guidry: Adv. Nucl. Phys.21 (1994) 227.

    Google Scholar 

  36. P. Protopapas and A. Klein: Phys. Rev. C55 (1997) 699 and references therein.

  37. A. Klein: Adv. in Part. and Nucl. Phys.10 (1983) 39.

    Article  ADS  Google Scholar 

  38. A. Amado, R. Bijker, F. Cannatta, and F. Dedonder: Phys. Rev. Lett.67 (1991) 2777.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  39. A. Amado, R. Bijker, F. Cannatta, F. Dedonder, and N.R. Walet: J. Mod. Phys. E3 (1994) 171.

    Article  ADS  Google Scholar 

  40. F. Ferrara:Supersymmetry. World Scientific, Singapore, 1987.

    Google Scholar 

  41. B. Singh, R.B. Firestone, and S.Y.F. Chu:Table of Superdeformed Nuclear Bands and Fission Isomers (WWW version). Report No. LBL-38004, http://isotopes.lbl.gov/isotopes/sdband/sdbindex.html.

  42. Ch. Theisenet al.: Phys. Rev. C54 (1996) 2910.

    Article  ADS  Google Scholar 

  43. M.A.J. Mariscotti, G. Scharff-Goldhaber, and B. Buck: Phys. Rev.178 (1969) 1864.

    Article  ADS  Google Scholar 

  44. G. Scharff-Goldhaber, C.B. Dover, and A.L. Goldhaber: Annu. Rev. Nucl. Sci.26 (1976) 239.

    Article  ADS  Google Scholar 

  45. I. Ragnarsson: Phys. Lett. B264 (1991) 5.

    Article  ADS  Google Scholar 

  46. R. Bijker and V.K.B. Kota: Ann. Phys. (N. Y.)187 (1988) 148.

    Article  ADS  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. UMIST, P.O. Box 88, M60 1QD, Manchester, UK

    Niels R. Walet

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Dedicated to the memory of Prof. P.W.M. Glaudemans, 1931–1998.

Lecture given at the 10th Indian-Summer School of Nuclear Physics: “Theory of Many-Fermion Systems”, Prague, September 8–12, 1997.

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Walet, N.R. Algebraic approaches in nuclear physics. Czech J Phys 49, 89–130 (1999). https://doi.org/10.1023/A:1022853409168

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