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Table 2

Physical magnitudes.

Parameters Symbol J1208-6238 J1341-6220 J1838-0537 J1844-0346
Measured, assumed, or derived parameters:

Period (s) P 0.441 0.193 0.146 0.113
Period derivative (s s−1) 3.27 × 10−12 2.53 × 10−13 4.72 × 10−13 1.55 × 10−13
Characteristic age (kyr) τc 2.14 12.1 4.89 11.6
Spin-down luminosity now (erg s−1) Ė 1.51 × 1036 1.38 × 1036 6.02 × 1036 4.25 × 1036
Distance (kpc) d 3, 6, 10 12.6 2.0 2.4, 4.3, 10
Initial spin-down age τ0 (2τc)/(n − 1) − ta𝑔e
Initial spin-down luminosity (erg s−1) L0 Ė/(1 + ta𝑔e/τ0)−(n+1)/(n−1)

Parameter ranges:

Age (τc) ta𝑔e [0.7, 1.2] [0.7, 1.3]
ISM density (cm ) nism [0.1, 1]
Break energy γb [105, 107]
Low energy index α1 [1.0, 1.6]
High energy index α2 [2.2, 2.8]
Ejected mass (M) Mej [5,15]
Magnetic energy fraction η [0.02, 0.04]
FIR energy density (eV cm−3) Ufir [0.55, 1.65] [0.29, 0.87] [0.82, 2.46] [0.82, 2.46]
NIR energy density (eV cm−3) Unir [0.82, 2.46] [0.51, 1.53] [1.06, 3.18] [1.06, 3.18]
Breaking index n 2.598 (measured) 2/2.5/3
Minimum energy at injection γmin 1
Containment factor ϵ 0.5
SN explosion energy (erg) Esn 1051
CMB temperature (K) Tcmb 2.73
CMB energy density (eV cm−3) Ucmb 0.25
FIR temperature (K) Tfir 70
NIR temperature (K) Tnir 3000

Notes. The symbol “–” in the table means the value or range is the same as noted in the previous column. To make sure the τ0 will not be negative, the braking index for the sources except J1208-6238 was assumed to be 2/2.5/3, which means that with the increasing of the assumed value for ta𝑔e from 0.7 to three times τc, the braking index would be assumed as 3, 2.5, and 2, respectively.

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