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Hard X-rays above 10 keV are detected from several anomalous X-ray pulsars(AXPs) and soft gamma-ray repeaters (SGRs), and different models have beenproposed to explain the physical origin within the frame of either magnetarmodel or fallback disk system. Using data from $\it Suzaku$ and INTEGRAL, westudy the soft and hard X-ray spectra of four AXPs/SGRs, 1RXS J170849-400910,1E 1547.0-5408, SGR 1806-20 and SGR 0501+4516. It is found that the spectracould be well reproduced by bulk-motion Comptonization (BMC) process as wasfirst suggested by Tr$\"u$mper et al., showing that the accretion scenariocould be compatible with X-ray emission of AXPs/SGRs. HXMT simulations for BMCmodel show that the spectra would have discrepancies from power-law, especiallythe cutoff at $\sim$ 200 keV. Thus future observations are promising todistinguish different models for the hard tail and may help us understand thenature of AXPs/SGRs.

To understand the X-ray spectrum of anomalous X-ray pulsars and soft gamma-ray repeaters