0 20 60 65 v 2 7 A pr 2 00 3 Semiclassical evaluation of average nuclear one and two body matrix elements
نویسندگان
چکیده
Thomas-Fermi theory is developed to evaluate nuclear matrix elements averaged on the energy shell, on the basis of independent particle Hamiltonians. Oneand 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. PACS number(s): 21.10Dr, 21.60.-n, 31.15Gy Typeset using REVTEX
منابع مشابه
- th / 0 20 60 65 v 1 2 6 Ju n 20 02 Semiclassical evaluation of average nuclear one and two body matrix elements
Thomas-Fermi theory is developed to evaluate nuclear matrix elements on the average. One and two body matrix elements are compared with quantal results and it is demonstrated that the semiclassical matrix elements nicely follow the quantal values on the mean. Various physical situations are ad-dresed where the semiclassical evaluation of the one and two body matrix elements can be useful.
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