1 correlation analysis for neutron skins witold nazarewicz and paul-gerhard reinhard (presented at...
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![Page 1: 1 Correlation analysis for neutron skins Witold Nazarewicz and Paul-Gerhard Reinhard (presented at PREX Workshop, JLab, August 17-19, 2008)](https://reader035.vdocuments.site/reader035/viewer/2022062720/56649f155503460f94c2a613/html5/thumbnails/1.jpg)
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Correlation analysis for neutron skinsWitold Nazarewicz and Paul-Gerhard Reinhard
(presented at PREX Workshop, JLab, August 17-19, 2008)
![Page 2: 1 Correlation analysis for neutron skins Witold Nazarewicz and Paul-Gerhard Reinhard (presented at PREX Workshop, JLab, August 17-19, 2008)](https://reader035.vdocuments.site/reader035/viewer/2022062720/56649f155503460f94c2a613/html5/thumbnails/2.jpg)
residualshell effects
residualshell effects
Macroscopic Droplet Model Radii
around 1fmaround 1fm
300 12510008000
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Correlations between observables
Consider an EDF described by coupling constants
The optimumparameter set
Uncertainty in variable A:
Correlation between variables A and B:
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Alignment of variables A and B:
=1: full alignment/correlation=0: not aligned/statistically independent
P. Klüpfel et al, arXi:0804.3385
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Quantities of interest…
bulk equilibriumsymmetry energy
symmetry energyat surface density
slope of binding energyof neutron matter
dipole polarizability
rescaled polarizabiliy
![Page 6: 1 Correlation analysis for neutron skins Witold Nazarewicz and Paul-Gerhard Reinhard (presented at PREX Workshop, JLab, August 17-19, 2008)](https://reader035.vdocuments.site/reader035/viewer/2022062720/56649f155503460f94c2a613/html5/thumbnails/6.jpg)
Correlation between observables
![Page 7: 1 Correlation analysis for neutron skins Witold Nazarewicz and Paul-Gerhard Reinhard (presented at PREX Workshop, JLab, August 17-19, 2008)](https://reader035.vdocuments.site/reader035/viewer/2022062720/56649f155503460f94c2a613/html5/thumbnails/7.jpg)
The degree of alignment for various observables
208Pb
highlycorrelated
statisticallyindependent
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Alignmen between skin and polarizability for doubly magic nuclei
large shell effects
highlycorrelated
statisticallyindependent
![Page 9: 1 Correlation analysis for neutron skins Witold Nazarewicz and Paul-Gerhard Reinhard (presented at PREX Workshop, JLab, August 17-19, 2008)](https://reader035.vdocuments.site/reader035/viewer/2022062720/56649f155503460f94c2a613/html5/thumbnails/9.jpg)
Summary
• For well bound systems, various definitions of skin are basically equivalent
• Skin of 208Pb 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!
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Temperature + HFBJunchen Pei et al.