  We investigate the dynamical charge response in a "Majorana Coulomb box"
realized by two Majorana bound states hosted at the ends of a mesoscopic
topological superconductor. One side of the wire is coupled to a normal lead
and low frequency gate voltage is applied to the system. There is no
dc-current; the system can be considered as an RC quantum circuit. We calculate
the effective capacitance and charge relaxation resistance. The latter is in
agreement with the Korringa-Shiba formula where, however, the charge relaxation
resistance is equal to h/2e^2. This value corresponds to the strong Coulomb
blockade limit described by a resonant model formulated by Fu [PRL 104, 056402
(2010)]. We also performed direct calculations using the latter model and
defined its parameters by direct comparison with our perturbation theory
results.
