Pulse Broadening Measurements from the Galactic Center Pulsar J1745--2900

We present temporal scattering measurements of single pulses and average profiles of PSR J1745--2900, a magnetar recently discovered only 3 arcsec away from Sagittarius A* (Sgr A*), from 1.2 - 18.95 GHz using the Effelsberg 100-m Radio Telescope, the Nan\c{c}ay Decimetric Radio Telescope, and the Jodrell Bank Lovell Telescope. Single pulse analysis shows that the integrated pulse profile above 2 GHz is dominated by pulse jitter, while below 2 GHz the pulse profile shape is dominated by scattering. The high dispersion measure and rotation measure of the magnetar suggest that it is close to Sgr A* (within ~0.1 pc). This is the first object in the GC with both pulse broadening and angular broadening measurements. We measure a pulse broadening spectral index of alpha = -3.8 +/- 0.2 and a pulse broadening time scale at 1 GHz of tau_GHz = 1.3 +/- 0.2 s, which is several orders of magnitude lower than the scattering predicted by the NE2001 model (Cordes and Lazio 2002). If this scattering timescale is representative of the GC as a whole, then previous surveys should have detected many pulsars. The lack of detections implies either our understanding of scattering in the GC is incomplete or there are fewer pulsars in the GC than previously predicted. Given that magnetars are a rare class of radio pulsar, we believe that there are many canonical and millisecond pulsars in the GC, and not surprisingly, scattering regions in the GC have complex spatial structures.