The Extended Nuclear Matter Model with Smooth Transition Surface

Astronomy and Astrophysics – Astrophysics – Solar and Stellar Astrophysics

Scientific paper

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To appear in the Proceedings of The 3rd Stueckelberg Workshop on Relativistic Field Theories

Scientific paper

The existence of electric fields close to their critical value $E_c=\frac{m_e^2 c^3}{e \hbar}$ has been proved for massive cores of $10^7$ up to $10^{57}$ 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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