The information content of a new observable: the case of the nuclear neutron skin

Abstract

We address two questions pertaining to the uniqueness and usefulness of a new observable: (i) Considering the current theoretical knowledge, what novel information does new measurement bring in? (ii) How can new data reduce uncertainties of current theoretical models? We illustrate these points by studying the radius of the neutron distribution of a heavy nucleus, a quantity related to the equation of state for neutron matter that determines properties of nuclei and neutron stars. By systematically varying parameters of two theoretical models and studying the resulting confidence ellipsoid, we quantify the relationships between the neutron skin and various properties of finite nuclei and infinite nuclear matter. Using the covariance analysis, we identify observables and pseudo-observables that correlate, and do not correlate, with the neutron skin. By adding the information on the neutron radius to the pool of observables determining the energy functional, we show how precise experimental determination of the neutron radius in ${}^{208}$Pb would reduce theoretical uncertainties on the neutron matter equation of state.

5 pages, 3 figures

References in corpus (7)

• Nuclear matter symmetry energy and the neutron skin thickness of heavy nuclei
• Neutron skin thickness in droplet model with surface width dependence: indications of softness of the nuclear symmetry energy
• Pygmy dipole resonance as a constraint on the neutron skin of heavy nuclei
• Investigation of Pygmy Dipole Resonances in the Tin Region
• Dependence of single-particle energies on coupling constants of the nuclear energy density functional
• Global properties of the Skyrme-force-induced nuclear symmetry energy
• Error analysis of nuclear mass fits

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