Table 5.
Spectral index and Mach number estimates for our compilation of double radio relic galaxy clusters.
| Clusterrelic | αinj | Minj | αint | Mint | References |
|---|---|---|---|---|---|
| 8C 0212+703E (ClG 0217+70) | 0.93 ± 0.08 | 2.4 ± 0.2 | 1.09 ± 0.06 | 5 ± 1 | H21 |
| 8C 0212+703W (ClG 0217+70) | 0.72 ± 0.05 |
 |
1.01 ± 0.05 | ( * *) | H21 |
| Abell 1240N | 0.94 ± 0.06 | 2.4 ± 0.1 | 1.08 ± 0.05 | 5 ± 1 | H18 |
| Abell 1240S | 0.97 ± 0.05 | 2.3 ± 0.1 | 1.13 ± 0.05 | 4.0 ± 0.7 | H18 |
| Abell 2146N | 1.06 ± 0.09 | 2.1 ± 0.1 | 1.14 ± 0.08 | 4 ± 1 | H19 |
| Abell 2146S | 1.13 ± 0.06 | 2.0 ± 0.1 | 1.25 ± 0.07 | 3.0 ± 0.4 | H19 |
| Abell 2345E | – | – | 1.29 ± 0.07 | 2.8 ± 0.3 | Ge17 |
| Abell 2345W | – | – | 1.52 ± 0.08 | 2.2 ± 0.1 | Ge17 |
| Abell 3186NW (MCXC J0352.4-7401) | – | – | 1 ± 0.1 | ( * *) | D21c |
| Abell 3186SE (MCXC J0352.4-7401) | – | – | 0.9 ± 0.1 | ( * *) | D21c |
| Abell 3365E | – | – | 0.85 ± 0.03 | ( * *) | D21c |
| Abell 3365W | – | – | 0.76 ± 0.08 | ( * *) | D21c |
| Abell 3376E | 0.70 ± 0.15 | 3.3 ± 0.3 | 1.33 ± 0.08 | 2.7 ± 0.3 | Ka12, C22 |
| Abell 3376W | 1.0 ± 0.2 | 2.2 ± 0.4 | 1.22 ± 0.05 | 3.2 ± 0.3 | Ka12, C22 |
| Abell 3667NW | 1.0 ± 0.1 | 2.2 |
1.13 ± 0.02 | 4.0 ± 0.3 | dG22 |
| Abell 3667SE | – | – | 0.93 ± 0.03 | ( * *) | dG22 |
| Abell 521NW | – | – | – | – | Kn22 |
| Abell 521SE | – | – | 1.48 ± 0.01 | 2.27 ± 0.02 | Gi08 |
| ACT-CL J0102−4915NW (El Gordo) | 0.86 ± 0.15 |
 |
1.25 ± 0.04 | 3.0 ± 0.2 | Li14, tw |
| ACT-CL J0102−4915E (El Gordo) | – | – | 1.06 ± 0.04 | 6 ± 2 | Li14, tw |
| CIZA J2242.8+5301N (Sausage) | 0.86 ± 0.05 | 2.6 ± 0.2 | 1.12 ± 0.03 | 4.2 ± 0.5 | DG18, Lo20 |
| CIZA J2242.8+5301S (Sausage) | 1.09 ± 0.05 | 2.10 ± 0.08 | 1.12 ± 0.07 | 4 ± 1 | DG18 |
| MACS J1752.0+4440NE | 0.6 | 4.6 | 1.16 ± 0.03 | 3.7 ± 0.3 | Bo12, vW12 |
| MACS J1752.0+4440SW | 0.8 | 2.8 | 1.10 ± 0.05 | 5 ± 1 | Bo12, vW12 |
| PLCK G200.9−28.2NE | – | – | – | – | Kn22 |
| PLCK G200.9−28.2SW | 0.7 ± 0.2 | 3 ± 2 | 1.21 ± 0.15 | 3 ± 1 | Ka17 |
| PLCK G287.0+32.9N (PSZ2 G286.98+32.90) | – | – | 1.19 ± 0.03 | 3.4 ± 0.2 | Ge17 |
| PLCK G287.0+32.9S (PSZ2 G286.98+32.90) | – | – | 1.36 ± 0.04 | 2.6 ± 0.1 | Ge17 |
| PSZ1 G096.89+24.17N (ZwCl 1856.8+6616) | 0.87 ± 0.07 | 2.5 ± 0.2 | 0.92 ± 0.04 | ( * *) | J21, tw |
| PSZ1 G096.89+24.17S (ZwCl 1856.8+6616) | 0.97 ± 0.07 | 2.3 ± 0.2 | 1.14 ± 0.03 | 3.6 ± 0.4 | J21, tw |
| PSZ1 G108.18−11.53NE |
 |
 |
1.25 ± 0.02 | 3.0 ± 0.1 | dG15 |
| PSZ1 G108.18−11.53SW |
 |
 |
1.28 ± 0.02 | 2.85 ± 0.09 | dG15 |
| PSZ2 G233.68+36.14N | 1.07 ± 0.11 |
 |
1.31 ± 0.12 | 2.7 ± 0.5 | Gh21 |
| PSZ2 G233.68+36.14SE | 0.67 ± 0.11 |
 |
0.97 ± 0.13 | ( * *) | Gh21 |
| RXC J1314.4−2515E | – | – | 1.2 ± 0.2 | 3 ± 1 | S19 |
| RXC J1314.4−2515W | – | – | 1.5 ± 0.1 | 2.2 ± 0.2 | S19 |
| SPT-CL J2032−5627NW | – | – | 1.2 ± 0.1 | 3.3 ± 0.7 | D21a |
| SPT-CL J2032−5627SE | – | – | 1.5 ± 0.1 | 2.2 ± 0.2 | D21a |
| ZwCl 0008.8+5215E | 1.2 ± 0.2 |
 |
1.59 ± 0.06 | 2.09 ± 0.08 | vW11 |
| ZwCl 0008.8+5215W | 1.0 ± 0.15 |
 |
1.49 ± 0.12 | 2.2 ± 0.2 | vW11 |
| ZwCl 1447.2+2619N | – | – | 1.27 ± 0.31 | 3 ± 1 | Le22 |
| ZwCl 1447.2+2619S | – | – | 1.68 ± 0.3 | 2.0 ± 0.3 | Le22 |
| ZwCl 2341.1+0000N | – | 2.4 ± 0.4 | 1.02 ± 0.02 | ( * *) | Z21, tw |
| ZwCl 2341.1+0000S | 1.00 ± 0.06 | 2.2 ± 0.1 | 0.98 ± 0.02 | ( * *) | Z21, tw |
Notes. Column 1: name of the cluster. A subscript letter specifies the relic; Col. 2: injection spectral index. Col. 3: radio injection Mach number retrieved from the literature (Eq. (14)). Col. 4: integrated spectral index; Col. 5: radio Mach number derived from the integrated spectral index using Eq. (13). We used the ( * *) symbol for αint ≤ 1 since it is incompatible with DSA predictions. 1σ uncertainties are derived with standard propagation; Col. 6: references for injection spectral index and Mach number and for integrated spectral index, as for the legend. For Abell 521NW and PLCK G200.9−28.2NE we give the reference for the discovery but no spectral index is available.
Reference. tw this work, H21 Hoang et al. (2021), H18 Hoang et al. (2018), H19 Hoang et al. (2019), Ge17 George et al. (2017), D21c Duchesne et al. (2021a), Ka12 Kale et al. (2012), C22 Chibueze et al. (2022), dG22 de Gasperin et al. (2022), Kn22 Knowles et al. (2022), Gi08 Giacintucci et al. (2008), Li14 Lindner et al. (2014), DG18 Di Gennaro et al. (2018), Lo20 Loi et al. (2020), Bo12 Bonafede et al. (2012), vW12 (van Weeren et al. 2012), Ka17 Kale et al. (2017), J21 Jones et al. (2021), dG15 de Gasperin et al. (2015), Gh21 Ghirardini et al. (2021), S19 Stuardi et al. (2019), D21a Duchesne et al. (2021b), vW11 van Weeren et al. (2011b), Le22 Lee et al. (2022), Z21 Zhang et al. (2021).
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