  The superradiant stability of higher dimensional non-extremal
Reissner-Nordstrom black hole under charged massive scalar perturbation is
analytically studied. We extend our previous studies of four- and
five-dimensional non-extremal Reissner-Nordstrom black hole cases to
six-dimensional case. By analyzing the derivative of the effective potential
with an analytical method, we find that no potential well exists outside the
outer horizon of the black hole for the superradiant scalar modes. This means
that there is no black hole bomb for the system consisting of six-dimensional
Reissner-Nordstrom black hole and charged massive scalar perturbation and the
system is superradiantly stable.
