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Table 3.

Priors and posterior of the parameters fit with REDBACK for the generalized magnetar model.

Parameters Priors Best-fit values Best-fit values
SN 2020xga SN 2022xgc

Initial magnetar spin-down luminosity L0 (erg s−1) ℒ (1040, 1050) 1 . 2 0.1 + 0.1 × 10 45 $ 1.2^{+0.1}_{-0.1} \times 10^{45} $ 8 . 1 0.4 + 0.6 × 10 44 $ 8.1^{+0.6}_{-0.4} \times 10^{44} $
Magnetar spin-down time tSD (s) ℒ (102, 108) 1 . 9 0.5 + 0.7 × 10 7 $ 1.9^{+0.7}_{-0.5} \times 10^{7} $ 1 . 9 0.5 + 0.9 × 10 7 $ 1.9^{+0.9}_{-0.5} \times 10^{7} $
Magnetar braking index n 𝒰 (1.5, 10) 1 . 9 0.3 + 0.5 $ 1.9^{+0.5}_{-0.3} $ 5 . 5 1.9 + 2.5 $ 5.5^{+2.5}_{-1.9} $
Ejecta nickel mass fraction f56Ni ℒ (10−6, 1) 5 . 1 4.9 + 49.8 × 10 4 $ 5.1^{+49.8}_{-4.9} \times 10^{-4} $ 1 . 9 1.9 + 44.9 × 10 3 $ 1.9^{+44.9}_{-1.9} \times 10^{-3} $
Ejecta mass Mej (M) 𝒰 (0.1, 100) 7 . 0 0.4 + 0.4 $ 7.0^{+0.4}_{-0.4} $ 9 . 4 0.7 + 0.7 $ 9.4^{+0.7}_{-0.7} $
Supernova explosion energy ESN (erg) 𝒰 (5 × 1049, 3 × 1051) 2 . 97 0.04 + 0.02 × 10 51 $ 2.97^{+0.02}_{-0.04} \times 10^{51} $ 2 . 4 0.3 + 0.3 × 10 51 $ 2.4^{+0.3}_{-0.3} \times 10 ^{51} $
Ejecta gamma-ray opacity κγ (cm2 g−1) ℒ (10−4, 104) 8 . 3 1.1 + 1.2 × 10 3 $ 8.3^{+1.2}_{-1.1} \times 10^{-3} $ 3 . 6 0.7 + 0.9 × 10 3 $ 3.6^{+0.9}_{-0.7} \times 10^{-3} $
Photospheric plateau temperature Tfloor (K) 𝒰 (3 × 103, 2 × 104) 11494 232 + 242 $ 11494^{+242}_{-232} $ 6605 205 + 185 $ 6605^{+185}_{-205} $
Explosion date texp (MJD) 𝒰 (FD − 100, FD − 0.1) 59096 . 3 1.2 + 1.2 $ 59096.3^{+1.2}_{-1.2} $ 59824 . 3 0.6 + 0.4 $ 59824.3^{+0.4}_{-0.6} $

Notes. The 𝒰 stands for uniform, and ℒ for log-uniform. The FD acronym stands for first detection and represents the date of the first real detection. The uncertainties are reported at 1σ significance.

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