Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2003-04-17
Phys.Rev. C68 (2003) 024314
Physics
Nuclear Physics
Nuclear Theory
17 pages, Revtex
Scientific paper
10.1103/PhysRevC.68.024314
The process of proton emission from nuclei is studied by utilizing the two-potential approach of Gurvitz and Kalbermann in the context of the full many-body problem. A time-dependent approach is used for calculating the decay width. Starting from an initial many-body quasi-stationary state, we employ the Feshbach projection operator approach and reduce the formalism to an effective one-body problem. We show that the decay width can be expressed in terms of a one-body matrix element multiplied by a normalization factor. We demonstrate that the traditional interpretation of this normalization as the square root of a spectroscopic factor is only valid for one particular choice of projection operator. This causes no problem for the calculation of the decay width in a consistent microscopic approach, but it leads to ambiguities in the interpretation of experimental results. In particular, spectroscopic factors extracted from a comparison of the measured decay width with a calculated single-particle width may be affected.
Al-Khalili Jim
Barbieri Carlo
Escher Jutta
Jennings Byron K.
Sparenberg Jean-Marc
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