Wavelength-dependent far-infrared polarization of HL Tau observed with SOFIA/HAWC+

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Table 2

General parameters of the model of HL Tau and its circumstellar material. See Sects. 4.1 to 4.3 for details.

Parameter	Value
Stellar parameters
Stellar luminosity	11 L_⊙
Effective temperature	4000 K
Stellar radius	6.9 R_⊙
Disk parameters
Inclination	46.7°
Position angle	138°
Reference disk density $ρ_{0}^{disk}$ $\[\rho_{0}^{\text {disk }}\]$	7.2 × 10⁻¹⁴ g cm⁻³
Characteristic disk radius R_c	100 au
Reference scale height h₀	15 au
Radial disk profile α	0.95
Disk flaring β	1.15
Inner radius	0.4 au
Resulting disk gas mass	0.13 M_⊙
Envelope parameters
Reference envelope density $ρ_{0}^{env}$ $\[\rho_{0}^{\text {env }}\]$	2.4 × 10⁻¹⁸ g cm⁻³
Reference envelope radius R_e	1000 au
Radial envelope profile γ	0.65
Outer radius	10⁴ au
Resulting envelope gas mass M_env	0.016 M_⊙
Magnetic field strength	1 mG
Inner magnetic field radius	100 au
Magnetic field position angle	25°
Dust parameters
Minimum grain size	0.01 μm
Maximum grain size a_max (disk)	35 μm
Distribution exponent q (disk)	3.5
Maximum grain size a_max (envelope)	1 μm
Distribution exponent q (envelope)	4.0
Axis ratio of spheroids	2/3
Gas-to-dust mass ratio	100
Reference RAT efficiency Q₀	0.4
RAT efficiency exponent η	3
Rayleigh reduction factor	0.3

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