Abstract
We summarize approaches to a number of many-body problems utilizing moment methods. We develop some tests with valence particle systems and some tests with the soluble Lipkin-Meshkov-Glick Hamiltonian in order to assess accuracy of the moment method approach for finite nuclei. We present results for the binding energy and for the elastic electron scattering cross section of 160 using รข realistic microscopic no-core effective Hamiltonian.
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References
For a recent review of moment methods and a variety of applications see: Moment Methods in Many-Fermion Systems, B. J. Dalton, S. M. Grimes, J. P. Vary and S. A. Williams, eds., Plenum Press (N.Y.) 1980.
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ยฉ 1981 Springer-Verlag
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Vary, J.P. (1981). Applications of moment methods to finite nuclei. In: Zabolitzky, J.G., de Llano, M., Fortes, M., Clark, J.W. (eds) Recent Progress in Many-Body Theories. Lecture Notes in Physics, vol 142. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0018181
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DOI: https://doi.org/10.1007/BFb0018181
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