The Extended Nuclear Matter Model with Smooth Transition Surface
Abstract
The existence of electric fields close to their critical value Ec=me2 c3e has been proved for massive cores of 107 up to 1057 nucleons using a proton distribution of constant density and a sharp step function at its boundary. We explore the modifications of this effect by considering a smoother density profile with a proton distribution fulfilling a Woods--Saxon dependence. The occurrence of a critical field has been confirmed. We discuss how the location of the maximum of the electric field as well as its magnitude is modified by the smoother distribution.
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