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While various methods have been proposed to disentangle the progenitor systemfor Type Ia supernovae, their origin is still unclear. Circumstellarenvironment is a key to distinguishing between the double-degenerate (DD) andsingle-degenerate (SD) scenarios since a dense wind cavity is expected only inthe case of the SD system. We perform spatially resolved X-ray spectroscopy ofTycho's supernova remnant (SNR) with XMM-Newton and reveal thethree-dimensional velocity structure of the expanding shock-heated ejectameasured from Doppler-broadened lines of intermediate-mass elements. Obtainedvelocity profiles are fairly consistent with those expected from a uniformlyexpanding ejecta model near the center, whereas we discover a rapiddeceleration ($\sim4000$ km s$^{-1}$ to $\sim1000$ km s$^{-1}$) near the edgeof the remnant in almost every direction. The result strongly supports thepresence of a dense wall entirely surrounding the remnant, which is confirmedalso by our hydrodynamical simulation. We thus conclude that Tycho's SNR islikely of the SD origin. Our new method will be useful for understandingprogenitor systems of Type Ia SNRs in the era of high-angular/energy resolutionX-ray astronomy with microcalorimeters.

Three-Dimensional Velocity Diagnostics to Constrain the Type Ia Origin of Tycho's Supernova Remnant