Left: contour plot with confidence regions at 1, 2, and 3σ (solid lines) applying the backward approach to solve HEE in order to constrain the parameters of the NFW mass model; using as inputs the multiscale technique on the median emissivityprofile to obtain the density, the pressure from the direct deprojection of the y-parameter radial profile, and the temperature from the spectral analysis. Right: gas mass and total mass profile recovered using the backward approach (blue and red curves, respectively). The black crosses represent the total mass profile obtained using a non-parametric method and the green cross that obtained by applying the forward method on temperature and density profiles. The dotted and dashed vertical line marks the position of R500 and R200, respectively.
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