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Semiclassical evaluation of average nuclear one- and two-body matrix elements
Viñas Gausí, Xavier; Schuck, Peter; Farine, M.; Centelles Aixalà, Mario
Universitat de Barcelona
Thomas-Fermi theory is developed to evaluate nuclear matrix elements averaged on the energy shell, on the basis of independent particle Hamiltonians. One- and two-body matrix elements are compared with the quantal results, and it is demonstrated that the semiclassical matrix elements, as function of energy, well pass through the average of the scattered quantum values. For the one-body matrix elements it is shown how the Thomas-Fermi approach can be projected on good parity and also on good angular momentum. For the two-body case, the pairing matrix elements are considered explicitly.
Estructura nuclear
Estructura electrònica
Física de l'estat sòlid
Nuclear structure
Electronic structure
Solid state physics
(c) The American Physical Society, 2003
The American Physical Society

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Centelles Aixalà, Mario; Viñas Gausí, Xavier; Schuck, Peter