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Title

Power Of Two.

Creator

Piekarewicz, J., Linero, A. R., Giuliani, P., Chicken, E.

Abstract/Description

Background: Besides its intrinsic value as a fundamental nuclearstructure observable, the weakcharge density of Pb208a quantity that is closely related to its neutron distributionis of fundamental importance in constraining the equation of state of neutronrich matter. Purpose: To assess the impact that a second electroweak measurement of the weakcharge form factor of Pb208 may have on the determination of its overall weakcharge density. Methods: Using the two putative experimental...
Show moreBackground: Besides its intrinsic value as a fundamental nuclearstructure observable, the weakcharge density of Pb208a quantity that is closely related to its neutron distributionis of fundamental importance in constraining the equation of state of neutronrich matter. Purpose: To assess the impact that a second electroweak measurement of the weakcharge form factor of Pb208 may have on the determination of its overall weakcharge density. Methods: Using the two putative experimental values of the form factor, together with a simple implementation of Bayes' theorem, we calibrate a theoretically soundyet surprisingly little knownsymmetrized Fermi function, that is characterized by a density and form factor that are both known exactly in closed form. Results: Using the charge form factor of Pb208 as a proxy for its weakcharge form factor, we demonstrate that using only two experimental points to calibrate the symmetrized Fermi function is sufficient to accurately reproduce the experimental charge form factor over a significant range of momentum transfers. Conclusions: It is demonstrated that a second measurement of the weakcharge form factor of Pb208 supplemented by a robust theoretical input in the form of the symmetrized Fermi function would place significant constraints on the neutron distribution of Pb208. In turn, such constraints will become vital in the interpretation of hadronic experiments that will probe the neutronrich skin of exotic nuclei at future radioactive beam facilities.
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Date Issued

20160915

Identifier

FSU_libsubv1_wos_000383149400001, 10.1103/PhysRevC.94.034316

Format

Citation