Spreading Widths of Doorway States

Details Spreading Widths of Doorway States Spreading Widths of Doorway States

2010-09-16

arxiv.org/abs/1009.3169v1

Nucl.Phys.A849:15-26,2011

Physics

Nuclear Physics

Nuclear Theory

13 pages, 7 figures

Scientific paper

10.1016/j.nuclphysa.2010.10.004

As a function of energy E, the average strength function S(E) of a doorway state is commonly assumed to be Lorentzian in shape and characterized by two parameters, the peak energy E_0 and the spreading width Gamma. The simple picture is modified when the density of background states that couple to the doorway state changes significantly in an energy interval of size Gamma. For that case we derive an approximate analytical expression for S(E). We test our result successfully against numerical simulations. Our result may have important implications for shell--model calculations.

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