Using archival Chandra data we studied the X-ray emission properties of PSR B2224 + 65 and its environment .
Albeit limited by photon statistics the spectral analysis suggests that the bulk of the emission from PSR B2224 + 65 is non-thermal .
Fitting a power-law model to the observed energy spectrum yields a photon index of \Gamma = 1.58 ^ { +0.43 } _ { -0.33 } .
The possible origin of the non-thermal pulsar emission is discussed in the context of the outer-gap model .
We did not find any evidence for a compact nebula around PSR B2224 + 65 though the Chandra data reveal the existence of an extended feature which appears to be associated with PSR B2224 + 65 .
It extends from the pulsar position about 2 arcmin to the north-west .
Its orientation deviates by \sim 118 ^ { \circ } from the pulsar ’ s proper motion direction .
Investigating its energy spectrum shows that the emission of this extended feature is much harder than that of the pulsar itself and is non-thermal in nature .