Table 1
SNR evolution of different scenarios.
SN type | M a | R b,MS b | R b,RSG c | E ej d | M ej e | R SNR, end f | t SNR, end g | v SNR, end h | η esc i | E max, end j | E CR,end k |
|
|||||||||||
SNe IIP | 8 M⊙ | 0.5 pc | – | 1 E51 | 6 M⊙ | 10 pc | 15.5 kyr | 250 km s-1 | 0.1 | 6.5 TeV | 0.23 E51 |
SNe IIP | 15 M⊙ | 10 pc | 1 pc | 1 E51 | 12 M⊙ | 10 pc | 5.8 kyr | 150 km s-1 | 0.1 | 0.8 TeV | 0.12 E51 |
SNe IIL/b | 20 M⊙ | 18 pc | 5 pc | 1 E51 | 2 M⊙ | 15 pc | 6.1 kyr | 2140 km s-1 | 0.02 | 34.9 TeV | 0.05 E51 |
SNe Ib/c | 25 M⊙ | 22 pc | – | 1 E51 | 2 M⊙ | 15 pc | 2.9 kyr | 2470 km s-1 | 0.01 | 16.5 TeV | 0.01 E51 |
Notes.
Size of the MS wind bubble (including the MS bubble shell). The numbers were chosen under the reasonable assumption that the pressure of the circumstellar medium is 105 K cm-3 (Chevalier 1999; Chen et al. 2013).
Size of RSG wind bubble, corresponding to ṀRSG ≈ 0.2(5) × 10-5M⊙/ s and vRSG ≈ 10(15) km s-1 for 15 M⊙ SNe IIP (20 M⊙ SNe IIL/b) (Chevalier 2005).
Total SN energy. Core-collapse SNe have observed kinetic energies of typically ~ 1051 erg( E51) (Smartt 2009).
Ejecta mass of the SN. The progenitor mass is the sum of the MS wind mass loss, the RSG wind mass loss, the neutron star mass (2 M⊙), and the SN ejecta mass, respectively.
For the two SNe IIP scenarios, we stop the calculations when the Sedov phase is about to end (vSNR ≪ 1000 km s-1), the corresponding SNR radius is around 10 pc. For the SNe IIL/b and Ib/c scenarios, we calculate the SNR history until the forward shock reaches 15 pc which is the observed radius.
This parameter is the ratio between the energy flux from the escaping CRs and the kinetic energy flux from the upstream medium falling to the shock. This parameter is chosen by fitting the TeV spectrum of HESS J1729-345 as described in Sect. 3 and Appendix B.
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