Relativistic neutron interaction with electric fields revisited

We address the bound-state dynamics of a neutron with anomalous magnetic dipole moment in the presence of certain static electric fields. We show that the involved quantum systems can be described by an exactly solvable single particle model realized as: (i) the so-called Dirac oscillator; (ii) a particular kind of hydrogen atom-like system; (iii) an axial harmonic oscillator; where the Aharonov–Casher (AC) discrete states in 3 + 1 space-time dimensions are analyzed within the framework of supersymmetric quantum mechanics (SUSYQM).