The Nucleus pp 33-36 | Cite as

Interactions by Inversion

  • B. Apagyi
  • B. Báthory


A method of model independent determination of the interaction potentials from elastic scattering data is presented. The procedure consists of a phase shift analysis (using, alternatively, a gradient method and a random search procedure to minimize the χ2 value) and an inversion of the phase shifts to potential (by using the modified Newton-Sabatier theory). The method is illustrated on synthetic data imitating the elastic scattering of 12C nuclei by the 32S target at fixed energy of E cm= 26.02 MeV.


Phase Shift Elastic Scattering Inversion Method Phase Shift Analysis Fixed Energy 
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    R. G. Newton, J. Math. Phys. 3, 75 (1962); P. C. Sabatier, J. Math. Phys. 7, 1515 (1966); M. Münchow and W. Scheid, Phys. Rev. Letters 44, 1299 (1980).Google Scholar
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    B. Apagyi and G. Endrédi, Budapest Inversion Code (BIC), unpublished (1995).Google Scholar

Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • B. Apagyi
    • 1
  • B. Báthory
    • 1
  1. 1.Department of Theoretical PhysicsTechnical University of BudapestBudapestHungary

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