Table 2
Upper limits on the CR-to-thermal energy ratio of the parent proton population.
| Γph | Γp | CR distribution | All | CC | NCC |
|
|
|||||
| 2.0 | 2.05 | Isobaric | 4.5 | 8.5 | 3.4 |
| Steeper | 3.1 | 4.9 | 2.6 | ||
| Flatter | 6.2 | 13.3 | 4.5 | ||
| 2.4 | 2.45 | Isobaric | 4.6 | 9.6 | 3.3 |
| Steeper | 3.2 | 5.6 | 2.4 | ||
| Flatter | 6.4 | 15.1 | 4.2 | ||
| 2.8 | 2.85 | Isobaric | 7.0 | 16.7 | 4.3 |
| Steeper | 4.8 | 9.7 | 3.2 | ||
| Flatter | 9.6 | 26.1 | 5.6 | ||
| 3.2 | 3.25 | Isobaric | 10.1 | 30.7 | 5.9 |
| Steeper | 7.4 | 17.8 | 4.4 | ||
| Flatter | 14.9 | 47.8 | 7.7 | ||
Notes. Column description: 1: photon index assumed for the analysis. 2: corresponding effective proton index (see Fig. A.1). 3: assumed radial distribution of the CR in the cluster. In the “isobaric” case the CR distribution is assumed to follow the same radial dependence as the gas (Eq. (A.6)). In the “steeper” case the CR-to-thermal energy ratio decreases with radius as ϵ(r) ~ r-0.5. In the “flatter” case it increases as ϵ(r) ~ r0.5. 4: UL on the CR-to-thermal energy ratio, in percent, computed using Eq. (A.9) for the entire cluster population. 5: same as Col. 4 for the CC subsample. 6: Same as Col. 4 for the NCC subsample.
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