Deformation parameter for diffuse density

Details Deformation parameter for diffuse density Deformation parameter for diffuse density

2006-04-20

arxiv.org/abs/nucl-th/0604048v1

Phys.Rev. C74 (2006) 017310

Physics

Nuclear Physics

Nuclear Theory

4 pages, 3 eps figures

Scientific paper

10.1103/PhysRevC.74.017310

In extracting deformation parameters from multipole moments for deformed nuclei, one commonly uses the formulas which are based on a sharp-cut density distribution. We discuss a possible ambiguity for this procedure and clarify the role of diffuseness parameter of the density distribution. For this purpose, we use a deformed Woods-Saxon density as well as a density distribution obtained from the self-consistent relativistic mean-field (RMF) model. We show that the formula using a root-mean-square radius instead of a sharp-cut radius requires a large correction due to a finite surface diffuseness parameter even for stable nuclei. An implication to neutron-rich nuclei is also discussed.

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