How to distinguish white dwarf and neutron star X-ray binaries during their X-ray outbursts?

Neutron stars (NSs) and white dwarfs (WDs) are characterized by different geometric and physical properties, but their observed properties are often similar, making them difficult to distinguish. Therefore, it is desirable to search for their spectral features that could be easily identified from observations. We present spectral and timing signatures of NSs and WDs hosted in accreting X-ray binaries that can be easily identified from X-ray observations. We perform spectral and timing analysis of 4U~1636--53 and SS~Cygni, as typical representatives of such NS and WD binaries, based on their X-ray observations by RXTE, ASCA, Suzaku and BeppoSAX uising {\it Comptonization} spectral model. As a result, we formulate a criterion that makes it easy to distinguish NS from WD in such binaries: NS X-rays exhibits clear quasi-stable behavior with the index $\Gamma\to2$ and is characterized by quasi periodic oscillations (QPOs) at $\nu_{QPO} >0.5$~Hz, although WD X-rays is stable with $\Gamma \to1.85$ and is accompanied by QPOs at $\nu_{QPO}<0.05$~Hz during source outbursts. In addition, we revealed that in 4U~1636--53 the mHz QPOs anti-correlate with the plasma temperature, $T_e$ of Compton cloud (or the corona around a NS. This allowed us to associate mHz-QPOs with the corona dynamics during outburst cycle. The above index effect, now well established for 4U~1636--53 and SS~Cygni using extensive observations, has previously been found in other low-mass X-ray NS and WD binaries and agrees well with the criterion for distinguishing NSs and WDs presented here.