Broadband radio study of the supernova remnant Kes 73

Open Access

Table 3

Resulting parameters for the pure leptonic and the hybrid lepto-hadronic models of the Kes 73-MC interaction region.

Parameters	Leptonic	Lepto-hadronic
A_e (TeV ^–1)	$({7.7}_{- 1.1}^{+ 1.4}) \times 10^{48}$ $\$\left( {7.7_{ - 1.1}^{ + 1.4}} \right) \times {10^{48}}$$	$({1.6}_{- 0.8}^{+ 1.1}) \times 10^{46} $ $\$\left( {1.6_{ - 0.8}^{ + 1.1}} \right) \times {10^{46}}$$
A_p (TeV ^–1)	–	$({5.8}_{- 1.8}^{+ 3.0}) \times 10^{46}$ $\$\left( {5.8_{ - 1.8}^{ + 3.0}} \right) \times {10^{46}}$$
s_e	2.1	2.1
$E_{c_{e}} (TeV)$ $\${E_{{c_e}}}\left( {{\rm{TeV}}} \right)$$	0.27 + 0.03	1.1 ± 0.1
s_p	–	2.7 ± 0.1
$E_{c_{p}} (TeV)$ $\${E_{{c_p}}}\left( {{\rm{TeV}}} \right)$$	–	0.995 ± 0.007
Β(μG)	0.52 ± 0.05	25 ± 6
n_H (cm ^–3)	${0.3}_{- 0.2}^{+ 0.6}$ $\$0.3_{ - 0.2}^{ + 0.6}$$	$130_{- 50}^{+ 90}$ $\$130_{ - 50}^{ + 90}$$
K_ep	–	0.28 ± 0.05
W_e (E > 1 GeV) (erg)	$({9.6}_{- 1.4}^{+ 1.4}) \times 10^{49}$ $\$\left( {9.6_{ - 1.4}^{ + 1.4}} \right) \times {10^{49}}$$	$({2.4}_{- 0.8}^{+ 1.5}) \times 10^{47}$ $\$\left( {2.4_{ - 0.8}^{ + 1.5}} \right) \times {10^{47}}$$
W_p (E > 1 GeV) (erg)	–	$({1.8}_{- 0.8}^{+ 1.5}) \times 10^{49}$ $\$\left( {1.8_{ - 0.8}^{ + 1.5}} \right) \times {10^{49}}$$
BIC	58	29

Notes. We indicated with A_e and A_p the amplitude of the electron and proton energy distribution, respectively. s_e and $E_{c_{e}}$ $\${E_{{c_e}}}$$ are the slope and the energy cutoff of the electron energy distribution, while s_p and $E_{c_{p}}$ $\${E_{{c_p}}}$$ are the same parameters but referred to the proton energy distribution. W_e and W_p are the total energy of the CR electrons and protons (calculated for particle energies above 1 GeV), respectively. Β is the magnetic filed, n_H the ion density of the target gas and Κ_ep is defined as $\frac{A_{e}}{A_{p}}$ $\${{{A_e}} \over {{A_p}}}$$ and describes the ratio of electrons with respect to protons at the reference energy E₀ that we set to 1 TeV. We indicated with BIC the Bayesian information criterion parameter defined as BIC = k log(n) – 2 log(L_best), where k is the number of parameters in the model, n the number of data points, and L_best the likelihood associated with the best-fit parameters. *The amplitude of the electron energy distribution is given by the model as A_e = A_p × K_ep.

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