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Correlations between observables

Quantify correlations between the neutron skin and other quantities characterizing finite nuclei and infinite nuclear matter. How will additional data on neutron-rich nuclei (e.g., masses) help us constraining the neutron skin?

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Correlations between observables

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  1. Quantify correlations between the neutron skin and other quantities characterizing finite nuclei and infinite nuclear matter. • How will additional data on neutron-rich nuclei (e.g., masses) help us constraining the neutron skin? • Can one make reliable estimates of neutron-to-proton radii for open-shell nuclei, important in the context of parity violation, where deformation and pairing effects are large? • Quantify the regions of instability of the nuclear energy density functional • Is there an evidence for the isovector component of the pairing functional?

  2. Correlations between observables Witold Nazarewicz and Paul-Gerhard Reinhard Consider an EDF described by coupling constants The optimum parameter set Uncertainty in variable A: Correlation between variables A and B:

  3. Alignment of variables A and B: =1: full alignment/correlation =0: not aligned/statistically independent P. Klüpfel et al, arXi:0804.3385

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

  5. Correlation between observables

  6. The degree of alignment for various observables highly correlated statistically independent alignment with F(q) in 208Pb

  7. Survey of odd-even BE differences Bertsch, Bertulani, Nazarewicz, Schunck, Stoitsov

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