Width of the Δ resonance in nuclei
M. Hjorth-Jensen, H. Müther, A. Polls
Abstract
In this work we evaluate the imaginary part of the isobar Δ self-energy ΣΔ from the two-body absorption process Δ+N→ 2N. This contribution is calculated using a recently developed non-relativistic scheme, which allows for an evaluation of the self-energy with a basis of single-particle states appropriate for both bound hole states and for particle states in the continuum. In order to test the medium dependence of the self-energy, we calculate the two-body absorption term ΣΔA2 for several finite nuclei with N=Z, i.e.\ 16O, 40Ca and 100Sn. The resulting self-energy, which is energy dependent and non-local, is compared with a simple parameterization derived from nuclear matter.
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