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Table 4.

Required physical parameters to model the radio and the γ-ray data coming from the shell for the leptonic and hadronic scenarios.

Scenario Model B (μG) Wp (erg) Ke−p Гe,1e,2 Eb (TeV) Emax,e (TeV) Гp Emax,p (TeV) n0 (cm−3)
Leptonic fit 10 5 × 1049* 1.4 1.8/2.8 (0.15 – 0.35) (0.4 – 1.1) 2* (≥ Emax,e) 0.1*
fit 20 5 × 1049* 0.5 1.8/2.8 (0.4 – 0.9) (0.9 – 1.5) 2* (≥ Emax,e) 0.1*
consistent 20 5 × 1049* 0.5 1.8/2.8 1.9* 2.3* 2* 2.7* 0.1*
Hadronic
 main shock consistent 10 5 × 1049 0.03 2/3* 1.4* 1.4* 2* 1.4* 0.1*
 radiative shock consistent 13.6* 1.88*
 cooled regions 158* 1.9 × 1049 0.03 1.8/2.8 0.02* 0.08* 2* 0.08* 88.3*

Notes. The parentheses indicate the range of permitted values, while the asterisks indicate the fixed values in our analysis. The other values (without parentheses and asterisks) are adjusted by hand. In the two leptonic scenarios in which the break energy Eb and maximum energy Emax,e of the electrons are fit, they are not consistent with the magnetic field if they are due to synchrotron cooling. In all other (consistent) models, they are calculated following Parizot et al. (2006). For the hadronic scenario, the first and the second line correspond to the properties of the main shock (ush = 500 km s−1) and the radiative shock (ush,cl = 150 km s−1), respectively. The density and the magnetic field in the last line are those of the downstream cooled regions.

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