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Table 1.
Related parameters for the three PWNe.
| Pulsar and ejecta parameters | Symbol | Crab nebula | 3C 58 | G54.1+0.3 |
|---|---|---|---|---|
| Ejected mass (M⊙) | Mej | 8.0 | 8.0 | 20.0 |
| SN explosion energy (erg) | ESN | 1.0 × 1051 | 1.0 × 1051 | 1.0 × 1051 |
| Hydrogen density (cm3) | nH | 0.01 | 0.01 | 1.0 |
| Period (ms) | P | 33.4 | 65.7 | 136.85 |
| Period derivative (s s−1) | Ṗ | 4.21 × 10−13 | 1.93 × 10−13 | 7.51 × 10−13 |
| Initial spin-down luminosity (erg s−1) | L0 | 6.7 × 1039 | 1.3 × 1038 | 2.3 × 1039 |
| Initial spin-down age (yr) | τ0 | 700 | 2997 | 289 |
| Braking index | n | 2.509 | 3.0 | 3.0 |
| Age (yr) | tage | 970 | 2400 | 2600 |
| Distance (kpc) | d | 2.0 | 2.0 | 7.0 |
| Adopted parameters | ||||
| Low-energy electron index | α1 | 1.60 | 1.14 | 1.26 |
| High-energy electron index | α2 | 2.53 | 3.00 | 2.73 |
| Break energy (MeV) | Eb | 2.3×105 | 2.8×104 | 1.5×105 |
| Magnetic fraction | ηB | 0.015 | 0.06 | 0.006 |
| Shock radius fraction | ϵ | 0.3 | 0.25 | 0.40 |
| Initial diffusion coefficient at shock (cm2 s−1) | κ(tini) | 1.2 × 1021 | 1.5 × 1021 | 2.5 × 1020 |
| The diffusion spectral index | δ | 1/3 | 1/3 | 1/3 |
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