Background: Besides its intrinsic value as a fundamental nuclear-structure observable, the weak-charge density of 208 Pb-a quantity that is closely related to its neutron distribution-is of fundamental importance in constraining the equation of state of neutron-rich matter.Purpose: To assess the impact that a second electroweak measurement of the weak-charge form factor of 208 Pb may have on the determination of its overall weak-charge density.Methods: Using the two putative experimental values of the form factor, together with a simple implementation of Bayes' theorem, we calibrate a theoretically sound-yet surprisingly little known-symmetrized 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 208 Pb as a proxy for its weak-charge 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 weak-charge form factor of 208 Pb supplemented by a robust theoretical input in the form of the symmetrized Fermi function, would place significant constraints on the neutron distribution of 208 Pb. In turn, such constraints will become vital in the interpretation of hadronic experiments that will probe the neutron-rich skin of exotic nuclei at future radioactive beam facilities.

No abstract

No abstract

No abstract

We develop a complete framework for modeling general electromechanical systems in the quasi-electrostatic regime. The equations are applicable to a broad range of electrostatic problems and offer the advantage of being theoretically tractable for scaling arguments. Additionally, we show how the formalism can be used together with finite element simulations to obtain estimates for non-stationary effects such as charge accumulation in insulators. As a demonstration, we combined the formalism with measurements from Advanced LIGO to give an updated estimate for the Johnson noise coupling to the gravitational-wave channel. The induced signal was determined to be 10 times lower than the instrument’s design sensitivity in the detection band and scaling as f −2.