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By Philippe Chomaz (Editor), Francesca Gulminelli (Editor), Wolfgang Trautmann (Editor), Sherry Yennell

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Then, the strength function S(E) and the transition density ρt , associated with the A scattering operator F = f (ri ), are obtained from i=1 2 | 0|F |n | δ(E − En ) = S(E) = n ρt (r, E) = ΔE S(E)ΔE f (r ) 1 Im [Tr(f Gf )] , π (6) 1 ImG(r , r, E) dr . (7) π Note that ρt (r, E), as defined in (7), is associated with the strength in the region of E ± ΔE/2. Green’s function approach allows treating the continuum in a proper way. However, the RPA equations can also be solved on a discrete basis. Although the exact solution of RPA in the continuum may be crucial if one treats weakly bound nuclei or if one is interested in the particle decay of states which lie above the threshold, discrete RPA can nonetheless reproduce the main integral properties of giant resonances in stable nuclei.

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