1 Correlation analysis for neutron skins Witold Nazarewicz and Paul-Gerhard Reinhard (presented at PREX Workshop, JLab, August 17-19, 2008)

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Presentation transcript:

1 Correlation analysis for neutron skins Witold Nazarewicz and Paul-Gerhard Reinhard (presented at PREX Workshop, JLab, August 17-19, 2008)

residual shell effects residual shell effects Macroscopic Droplet Model Radii around 1fm

Correlations between observables Consider an EDF described by coupling constants The optimum parameter set Uncertainty in variable A: Correlation between variables A and B:

Alignment of variables A and B: =1: full alignment/correlation =0: not aligned/statistically independent P. Klüpfel et al, arXi:

Quantities of interest… bulk equilibrium symmetry energy at surface density slope of binding energy of neutron matter dipole polarizability rescaled polarizabiliy

Correlation between observables

The degree of alignment for various observables 208 Pb highly correlated statistically independent

Alignmen between skin and polarizability for doubly magic nuclei large shell effects highly correlated statistically independent

Summary For well bound systems, various definitions of skin are basically equivalent Skin of 208 Pb shows relatively weak (but not negligible) dependence on shell structure Strong correlation between skin and dipole polarizability but no correlation with the average GDR frequency A fully free variation of force parameters yields an extrapolation uncertainty of 0.07 fm for the skin. If PREX measures it with this (or better) precision, we will learn a lot!

Temperature + HFB Junchen Pei et al.