Determination of the local dark matter density in our Galaxy

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Table 4:

Free and fixed parameters for the mass model of the Galaxy and experimental constraints. One observes that there are 5 free parameters and 8 constraints. Mass densities are in GeV cm^-3 or in $M_\odot$ pc^-3, where $1~M_\odot$ cm $^{-3} \equiv 37.97$ GeV cm^-3.
Free parameters
Component	Parameter	Symbol	Value	Unit
Halo	Local DM density	$\rho _{\odot ,{\rm DM}}$	-	GeV/cm^-3
Halo	Scale Parameter	a	-	kpc
Halo	eccentricity	$\epsilon_{z}$	-	kpc
Disc	Density at GC	$\rho _{\rm d}$	-	GeV cm^-3
Disc	scale length	$r_{\rm d}$	-	kpc
Fixed parameters
Disc	scale height	$z_{\rm d}$	320	pc
Bulge	Density at GC	$\rho_{\rm b}$	360	GeV cm^-3
Bulge	Eccentricity	$q_{\rm b}$	0.61
Bulge	Scale	$r_{\rm t}$	0.6	kpc
Bulge	Scale	$r_{\rm {0,b}}$	0.7	kpc
Bulge	Slope	$\gamma_{\rm b}$	1.6
Bulge	Slope	$\beta_{\rm b}$	1.6
Constraints
All	Mass inside 60 kpc	$M_{R < 60~{\rm kpc}}$	4.0 $\pm$ 0.7	10 $^{{\rm 11}}$ $M_\odot$
Local	Rotation speed Sun	$v_\odot$	244 $\pm$ 10	km s^-1
Local	Distance Sun-GC	$r_\odot$	8.33 $\pm$ 0.35	kpc
Local	Total Surface Density	$\Sigma_{\vert z\vert<{\rm 1.1}}$	71 $\pm$ 6	$M_\odot$ pc^-2
Local	Visible Surface Density	$\Sigma_{\rm vis}$	48 $\pm$ 9	$M_\odot$ pc^-2
Local	Mass Density	$\rho_{\rm tot}$	0.102 $\pm$ 0.01	$M_\odot$ pc^-3
Local	Oort Constants	A-B	29.45 $\pm$ 0.15	km s^-2 kpc^-1
Local	Slope of rotation curve	$\partial$ ln( $v_\odot$ )/ $\partial$ ln(r)	-0.006 $\pm$ 0.016

Source LaTeX | All tables | In the text

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