Outburst Decays and Crustal Cooling in Magnetars: Radiated Energies and Thermal Diffusion Depths from Published Light Curves

When a magnetar outburst ends, the star does not switch off. It fades over months to years along a decay that traces heat diffusing out of the crust layers where the event deposited it. The decay time and the total radiated energy together locate the heated layer and size the deposit, using nothing more than the published light curve and a diffusion scaling. Working from published values for the sources concerned, this paper computes the relevant quantities under one stated set of conventions and compares them source by source. Headline results: largest radiated estimate source XTE J1810-197; largest radiated estimate erg 5.2e+42; largest enhancement factor 300; deepest diffusion km 0.60. The comparisons are budget statements: they establish whether the energies, stresses, powers and timescales involved are mutually consistent, and by what margin. Every number quoted is produced by the deposited compute.py script from the stated inputs, and the full per-source record is deposited as results.json alongside the text.