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A two-center-oscillator-basis as an alternative set for heavy ion processes

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Zeitschrift für Physik A Atoms and Nuclei

Abstract

The two-center-oscillator-basis, which is constructed from harmonic oscillator wave functions developing about two different centers, suffers from numerical problems at small center separations due to the overcompleteness of the set. In order to overcome these problems we admix higher oscillator wave functions before the orthogonalization, or antisymmetrization resp. This yields a numerically stable basis set at each center separation. The results obtained for the potential energy surface are comparable with the results of more elaborate models.

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References

  1. Andersen, B.L., Dickmann, F., Dietrich, K.: Nucl. Phys. A159, 337 (1970)

    Google Scholar 

  2. Scharnweber, D., Greiner, W., Mosel, U.: Nucl. Phys. A164, 257 (1971)

    Google Scholar 

  3. Mosel, U., Schmitt, H.W.: Nucl. Phys. A165, 73 (1971)

    Google Scholar 

  4. Maruhn, J., Greiner, W.: Z. Physik251, 431 (1972)

    Google Scholar 

  5. Fließbach, T.: Nucl. Phys. A194, 625 (1972)

    Google Scholar 

  6. Yukawa, T.: Pys. Lett.38B, 1 (1972)

    Google Scholar 

  7. Tabakin, F.: Nucl. Phys. A182, 497 (1972)

    Google Scholar 

  8. Bergmann, P., Scheefer, H.-J.: Z. Naturforsch.29a, 1003 (1974)

    Google Scholar 

  9. Ong, P.-T., Scheid, W.: Z. Naturforsch.30a, 406 (1975)

    Google Scholar 

  10. Tazawa, T.: Progr. of Theor. Phys.51, 1764 (1974)

    Google Scholar 

  11. Brack, M., Damgaard, J., Jensen, A.S., Pauli, H.C., Strutinsky, V.M., Wong, C.Y.: Rev. Mod. Phys.44, 320 (1972)

    Google Scholar 

  12. Flocard, H., Quentin, P., Kerman, A.K., Vautherin, D.: Nucl. Phys. A203, 433 (1973)

    Google Scholar 

  13. Kolb, D., Cusson, R.Y., Harvey, M.: Nucl. Phys. A215, 1 (1973)

    Google Scholar 

  14. Wong, C.W.: Nucl. Phys. A147, 563 (1970)

    Google Scholar 

  15. Madelung, E.: Die mathematischen Hilfsmittel des Physikers, p. 64. Berlin-Göttingen-Heidelberg: Springer 1964

    Google Scholar 

  16. Bateman manuscript project, A. Erdely, Higher transcendental functions II, section 8.5.1., New York: Mcgraw-Hill Book Com. 1953

  17. Brink, D.M., Boeker, E.: Nucl. Phys. A91, 1 (1967)

    Google Scholar 

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

    Google Scholar 

  19. Vautherin, D., Brink, D.M.: Phys. Rev. C5, 626 (1972)

    Google Scholar 

  20. Moshinsky, M.: Nucl. Phys.13, 104 (1959)

    Google Scholar 

  21. Reinhard, P.-G.: Nucl. Phys. A265 (1976)

Download references

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Authors and Affiliations

  1. Institut für Kernphysik, Universität Mainz, Mainz

    V. Tornow, P. -G. Reinhard & D. Drechsel

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  1. V. Tornow
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  2. P. -G. Reinhard
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  3. D. Drechsel
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Tornow, V., Reinhard, P.G. & Drechsel, D. A two-center-oscillator-basis as an alternative set for heavy ion processes. Z Physik A 280, 253–257 (1977). https://doi.org/10.1007/BF01434350

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  • DOI: https://doi.org/10.1007/BF01434350

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