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We present here a detailed spectral study of the X-ray emission of thepersistent source and the low-fluence bursts of SGR J0501+4516 observed duringa deep XMM-Newton observation near the peak of its 2008 outburst. For thepersistent emission we employ a physically motivated continuum emission modeland spectroscopically determine important source properties; such as, thesurface magnetic field strength and the magnetospheric scattering opticaldepth. We find that the magnetar surface temperature near the peak of itsactivity is 0.38 keV, corresponding to an emission area of 131 km^2 at adistance of 2 kpc. The surface magnetic field strength determinedspectroscopically, B=2.2E14 G, is consistent with the dipole field strengthinferred from the source spin and spin down rate. We fit the stacked spectra of129 very faint bursts with a modified blackbody model and find a temperature of1.16 keV, corresponding to an emission area of 93 km^2. We also find anevidence for cooling during the burst decay phase.

On the X-ray emission mechanisms of the persistent source and very low-fluence bursts of SGR J0501+4516