In a recent paper by Giuliani and Rothman [14], the problem of finding a lower bound on the radius R of a charged sphere with mass M and charge Q is addressed. Such a bound is referred to as the critical stability radius. Equivalently, it can be formulated as the problem of finding an upper bound on M for given radius and charge. This problem has resulted in a number of papers in recent years b...

The work is devoted to a consideration of the different determinations of the proton charge radius. It is demonstrated that the results from the elastic electron-proton scattering have to be of a higher uncertainty. A review of the hydrogen Lamb shift measurements and the radius determination from them is also presented.

The modification of the curvature moduli due to surface charges in lipid bilayers is analyzed using the nonlinear Poisson-Boltzmann equation for the relationship between the charge density and surface potential. An expansion in a small parameter epsilon, which is the ratio of the Debye length and the radius of curvature, is used. At low charge densities, previous results obtained from the Debye...

The magnetic moment of an electron is (semiclassically) modeled by a loop of current threaded by a flux quantum +o=?ry The integral of the charge density involved in the current is taken to equal the electronic charge. It is shown that the assumption that the moment’s flux is quantized to a value Go implies that the size of the @are) electronic charge must be extremely small (< 10 -57 cm) but t...

This paper we obtained the description and evaluation value of nuclear charge radii by analyzes relationship between masses radii. We got 884 nuclei (&lt;i&gt;Z&lt;/i&gt;, &lt;i&gt;N&lt;/i&gt; ≥ 8) with known mass combining AME2020 database CR2013 database, then quality density &lt;inline-formula&gt;&lt;tex-math id="M3"&gt;\begin{document}$ \rho_\text{m} $\end{document}&lt;/tex-math&gt;&lt;alte...

The Garvey-Kelson relations (GKRs) are algebraic expressions originally developed to predict nuclear masses. In this letter we show that the GKRs provide a fruitful framework for the prediction of other physical observables that also display a slowly-varying dynamics. Based on this concept, we extend the GKRs to the study of nuclear charge radii. The GKRs are tested on 455 out of the approximat...