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. 2015 Oct 9;1(9):e1500686. doi: 10.1126/sciadv.1500686

Fig. 3. Confidence contours for the mass, radius, and mass accretion rate indices.

Fig. 3

We show the confidence contours for the dependency of the characteristic bend frequency on the accretor mass, radius, and mass accretion rate indices. We have fitted the model, log νb = A log R + B log M + C log M˙ + D, where νb represents the measured characteristic bend frequencies, and R, M, and M˙ are the radii, masses, and mass accretion rates, respectively (all using cgs units), to determine the best-fit values for A, B, C, and D. The obtained fit is good (X2 = 38.41 for 37 df) and consistent with the previously obtained fit (1), resulting in A = −2.07 ± 0.11, B = 0.043 ± 0.17, C = 0.95 ± 0.22, and D = −3.07 ± 2.61. The dark gray lines show the previously obtained fit using a BH-only sample (1), with 1σ errors marked with light gray regions. Given that the previous fit was solely based on BHs, a degeneracy between mass and radius existed, such that it was essentially fitting for νbRaMb and the finding that a + b ≈ −2. The contours refer to the fit including accreting WDs, AGN, and soft-state Galactic BHs and allowing the radius to be an additional free parameter. We thus show that the dominant parameter in the scaling law is a characteristic radius in the inner disc, and not the mass of the accretor as previously thought.