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Current conserving random phase approximation

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Zeitschrift für Physik A Atoms and Nuclei

Abstract

The consequences of the continuity equation for the RPA are exploited, if charge and current densities are given. Simple, yet stringent conditions for the RPA amplitudes and the residual interaction are obtained. Under these conditions the RPA equations are simplified and exactly reduced to a hermitean eigenvalue problem of half the original dimensionality. Transition current matrix elements are then similar to those of an effective current recently proposed for TDA calculations.

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References

  1. Speth, J., Werner, E., Wild, W.: Physics Reports33, 127 (1977), and references quoted therein

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  2. Rowe, D.J.: Nuclear Collective Motion — Models and Theory, 1st ed. pp. 245–282. London: Methuen and Co. Ltd. 1970, and references quoted therein

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  3. Brown, G.E.: Unified Theory of Nuclear Models and Forces, 3rd ed. pp. 47–49. Amsterdam-London: North-Holland Publishing Company 1971

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  4. Heil, V., Manakos, P.: Z. Physik A291, 35 (1979)

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Authors and Affiliations

  1. Institut für Kernphysik, Technische Hochschule Darmstadt, Darmstadt, Federal Republic of Germany

    V. Heil & P. Manakos

Authors
  1. V. Heil
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  2. P. Manakos
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Additional information

Work supported by the Deutsche Forschungsgemeinschaft

We are grateful to Achim Richter for urging us to investigate the role of the RPA in the calculation of transverse form factors. This has revived our interest in the RPA.

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Heil, V., Manakos, P. Current conserving random phase approximation. Z Physik A 291, 391–395 (1979). https://doi.org/10.1007/BF01408390

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  • DOI: https://doi.org/10.1007/BF01408390

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