The Reissner-Weyl-Nordstr\"om (RWN) spacetime of a point nucleus features a naked singularity for the empirically known nuclear charges $Ze$ and masses $M = A(Z,N)m_{ \mathrm{ p}}$, where $m_{ \mathrm{ p}}$ is the proton mass and $A(Z,N)\approx Z+N$ the atomic mass number, with $Z$ the number of protons and $N$ the number of neutrons in the nucleus. The Dirac Hamiltonian for a test electron with mass $m_{ \mathrm{ e}}$, charge $-e$, and anomalous magnetic moment $\mu_a (\approx - \frac{ 1}{ 4\pi}\frac{ e^3}{ m_{ \mathrm{ e}} c^2})$ in the electrostatic RWN spacetime of such a 'naked point nucleus' is known to be essentially self-adjoint, with a spectrum that consists of the union of the essential spectrum $(-\infty, m_{ \mathrm{ e}} c^2]\cup[m_{ \mathrm{ e}} c^2, \infty)$ and a discrete spectrum of infinitely many eigenvalues in the gap $(-m_{ \mathrm{ e}} c^2,m_{ \mathrm{ e}} c^2)$, having $m_{ \mathrm{ e}} c^2$ as accumulation point. In this paper the discrete spectrum is characterized in detail for the first time, for all $Z\leq 45$ and $A$ that cover all known isotopes. The eigenvalues are mapped one-to-one to those of the traditional Dirac Hydrogen spectrum. Numerical evaluations that go beyond $Z=45$ into the realm of not-yet-produced hydrogenic ions are presented, too. A list of challenging open problems concludes this publication.
Categories: math-ph gr-qc math.DS math.MP math.SP