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The superradiant stability of higher dimensional non-extremalReissner-Nordstrom black hole under charged massive scalar perturbation isanalytically studied. We extend our previous studies of four- andfive-dimensional non-extremal Reissner-Nordstrom black hole cases tosix-dimensional case. By analyzing the derivative of the effective potentialwith an analytical method, we find that no potential well exists outside theouter horizon of the black hole for the superradiant scalar modes. This meansthat there is no black hole bomb for the system consisting of six-dimensionalReissner-Nordstrom black hole and charged massive scalar perturbation and thesystem is superradiantly stable.

Six-dimensional non-extremal Reissner-Nordstrom black hole, charged massive scalar perturbation and black hole bomb