Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2010-03-25
Phys.Rev.C81:044312,2010
Physics
Nuclear Physics
Nuclear Theory
10 pages, 5 figures (for high resolution versions of some of the figures contact the author)
Scientific paper
10.1103/PhysRevC.81.044312
Two-body matrix elements of arbitrary local interactions are written as the sum of separable terms in a way that is well suited for the exchange and pairing channels present in mean-field calculations. The expansion relies on the transformation to center of mass and relative coordinate (in the spirit of Talmi's method) and therefore it is only useful (finite number of expansion terms) for harmonic oscillator single particle states. The converge of the expansion with the number of terms retained is studied for a Gaussian two body interaction. The limit of a contact (delta) force is also considered. Ways to handle the general case are also discussed.
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