Table 4.
Summary of main properties of radio emission in A1413.
| ν | D | S3σ | P3σ | I0, 12 | re, 12 | χ | |
|---|---|---|---|---|---|---|---|
| MHz | kpc | mJy | W Hz−1 | μJy arcsec2 | kpc | ||
| Halo | 144 | (800, 500) | 37 ± 6 | 1.9 ± 0.3 1024 | 1.6 ± 0.4 | 290 ± 60 | 1.8 |
| Mini-Halo | 144 | 220( ⋆ ) | 23 ± 2 | (1.2 ± 0.1)×1024 | 23 ± 5 | 28 ± 5 | |
| 1440 | 220 | 1.9 ± 0.7 | (1.0 ± 0.1)×1023 |
Notes. Column 1: Name of the radio source; Col. 2: Size measured above 3σrms contour. For the halo, the two measures refer to (Dmax, Dmin) in the north-south and west-east directions, respectively. Listed result at 1440 MHz from Govoni et al. (2009). ( ⋆ )Since in LOFAR observations it is impossible to disentangle the mini halo, we used the 220 kpc region as a reference (see Sect. 3.7). Column 3: Flux density measured within the 3σrms contour; Col. 4: Radio power with the k correction applied, assuming α = −1.2; Col. 5: Central surface brightness of the double-exponential profile of Eq. (4); Col. 6: e-folding radius of the double-exponential profile of Eq. (4); Col. 7: reduced χ2 of the fit.
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