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An approximation for rotation-projected expectation values of the energy for deformed nuclei and a derivation of the cranking variational equation

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Zeitschrift für Physik A Hadrons and nuclei

Abstract

An approximation is given for the expectation value of the Hamiltonian with functions:

where ¦ϕ〉 is a HFB wave function of a deformed nucleus. This is achieved by expanding the overlap function of the energy 〈ϕ¦ HD(Ω)¦ϕ〉 in derivatives of the overlap function of the norm 〈ϕ D(Ω)¦ϕ〉. The cranking equations for even nuclei are yielded by varying the approximate energy.

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Authors and Affiliations

  1. Physik-Department der Technischen Hochschule München, Deutschland

    A. Kamlah

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  1. A. Kamlah
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Additional information

The author wishes to thank Prof.Wild for his initial stimulation of this work, and him, Prof.Mang, and MissRogerson for valuable discussions.

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Kamlah, A. An approximation for rotation-projected expectation values of the energy for deformed nuclei and a derivation of the cranking variational equation. Z. Physik 216, 52–64 (1968). https://doi.org/10.1007/BF01380092

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  • DOI: https://doi.org/10.1007/BF01380092

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