The MATISSE view of the inner region of the RY Tau protoplanetary disk

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Table 9

Best-fit values for the different parameter spaces sampled via MCRT simulations.

Parameter	Disk only	Disk and envelope	Dense disk and envelope
Disk mass M_disk	1 × 10⁻⁵ M_⊙	1 × 10⁻⁵ M_⊙	1 × 10⁻⁴ M_⊙
Reference scale height h_ref	35 au	30 au	7.5 au
Flaring exponent β	1.3	1.3	1.1
Midplane density exponent α	1.2	1.5	1.8

Envelope reference density ϱ_0,env	−	1 × 10⁻¹⁴ kg m⁻³	4.642 × 10⁻¹⁴ kg m⁻³
Envelope density exponent γ	−	−0.7	(−0.5)

Synthetic observables	A.2	8	9
Density distribution	A.11a	A.11b	A.11c
Temperature distribution	A.12a	A.12b	A.12c

$χ_{red}^{2}$ $\[\chi_{\text {red}}^{2}\]$ (V²)	5.49	4.95	5.00
$χ_{red}^{2}$ $\[\chi_{\text {red}}^{2}\]$ (F_tot)	1.86	1.57	3.58
$χ_{red}^{2}$ $\[\chi_{\text {red}}^{2}\]$ (ϕ_cp)	683	321	2976

Notes. The best-fit values yield $min (χ_{red}^{2} (V^{2}) + χ_{red}^{2} (F_{tot}))$ $\[\min \left(\chi_{\text {red}}^{2}\left(V^{2}\right)+\chi_{\text {red}}^{2}\left(F_{\text {tot}}\right)\right)\]$ . Values in parentheses are fixed in the corresponding parameter space sampling.

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