Semiclassical evaluation of average nuclear one and two body matrix elements

Details Semiclassical evaluation of average nuclear one and two body matrix elements Semiclassical evaluation of average nuclear one and two body matrix elements

2002-06-26

arxiv.org/abs/nucl-th/0206065v2

Phys.Rev.C67:054307,2003

Physics

Nuclear Physics

Nuclear Theory

15 pages, REVTeX, 6 ps figures; changed content

Scientific paper

10.1103/PhysRevC.67.054307

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.

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