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The Skyrme—Hartree—Fock Model of the Nuclear Ground State

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Abstract

Two decades ago, with the introduction of Skyrme forces [2.1], Hartree—Fock calculations became feasible in nuclear physics. Since then, they have been applied to a great variety of phenomena, including deformation properties, superheavy nuclei, vibrations, and heavy-ion collisions [2.2]. Nonetheless, their most straightforward application, the description of the ground state of spherical nuclei, remains a useful tool. It serves as the basis for many further applications in nuclear-structure physics; e.g., for studying refinements and variants of the force [2.3], for understanding electron-scattering data, for describing hyperons in nuclei, or for RPA vibrations of the ground-state. Thus, it is desirable to have a code optimized for speed. Such a code also provides a good example of the fast numerical techniques that are necessary for large scale applications.

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References

  1. T.H.R. Skyrme, Nucl. Phys. 9 (1959) 615

    Article  MATH  Google Scholar 

  2. D. Vautherin and D. M. Brink, Phys. Rev. C5 (1972) 626

    ADS  Google Scholar 

  3. P. Quentin and H. Flocard, Ann. Rev. Nucl. Part. Sci. 28 (1978) 523

    Article  ADS  Google Scholar 

  4. K. Goeke and P.-G. Reinhard, Lecture Notes in Physics, vol 171 (1982)

    Google Scholar 

  5. J. Friedrich and P.-G. Reinhard, Phys. Rev. C33 (1986) 335

    ADS  Google Scholar 

  6. H. Pfeiffer, P.-G. Reinhard, and D. Drechsel, Z. Phys. A292 (1979) 375

    Article  ADS  MathSciNet  Google Scholar 

  7. P.-G. Reinhard and R. Y. Cusson, Nucl. Phys. A378 (1982) 418

    Article  ADS  Google Scholar 

  8. M. R. Strayer, R. Y.Cusson, A. S. Umar, P.-G. R.inhard, D. A. Bromley, and W. Greiner, Phys. Lett. B135 (1984) 261

    Article  Google Scholar 

  9. R. Y. Cusson, P.-G. Reinhard, M. R. Strayer, J. A. Maruhn, and W. Greiner, Z. Phys. A320 (1985) 475

    Article  ADS  Google Scholar 

  10. P.-G. Reinhard, F. Grümmer, and K. Goeke, Z. Phys. A317 (1984) 339

    ADS  Google Scholar 

  11. P.-G. Reinhard and J. Friedrich, Z. Phys. 321 (1985) 619

    Article  ADS  Google Scholar 

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

    MATH  Google Scholar 

  13. J. Blocki and M. Flocard, Nucl. Phys. A273 (1976) 45

    Article  Google Scholar 

  14. P. Ring and P. Schuck, The Nuclear Many Body Problem (Springer, Berlin, Heidelberg 1980

    Book  Google Scholar 

  15. J. M. Eisenberg and W. Greiner, Nuclear Models ( North-Holland, Amsterdam 1971 )

    Google Scholar 

  16. S.-J. Lee et al., Phys. Rev. Lett. 57 (1986) 2916

    Article  ADS  Google Scholar 

  17. R. Zurmühl, Praktische Mathematik (Springer, Berlin, Heidelberg 1963 ) Chap. VII, Sect. 3

    MATH  Google Scholar 

  18. B. Dreher, J. Friedrich, K. Merle, G. Lührs and H. Rothaas, Nucl. Phys. A235 (1974) 219

    Article  Google Scholar 

  19. J. L. Friar, J. W. Negele, Adv. Nucl. Phys. 8 (1975) 219

    Article  Google Scholar 

  20. V. H. Walther, private communication; G. G. Simon, C. Schmitt, F. Borkowski, and V. H. Walther, Nucl. Phys. A333 (1980) 318

    Google Scholar 

  21. J. Friedrich and N. Voegeler, Nucl. Phys. A373 (1982) 191

    Article  Google Scholar 

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© 1991 Springer-Verlag Berlin Heidelberg

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Reinhard, PG. (1991). The Skyrme—Hartree—Fock Model of the Nuclear Ground State. In: Langanke, K., Maruhn, J.A., Koonin, S.E. (eds) Computational Nuclear Physics 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76356-4_2

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  • DOI: https://doi.org/10.1007/978-3-642-76356-4_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-76358-8

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