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Table 1.

Summary of the best-fit results for the different models.

Name Profile Parameters χ2 d.o.f. χ2/d.o.f. Notes
Spherical β Eq. (5) β = 0.26 ± 0.01 59 277 31 418 1.89 Diverging intensity (β < 1/3);
C = (10.9 ± 0.6)×10−3( † ) poor fit at low |b|

Disk-like Eq. (6) n0 = (1.7 ± 0.1)×10−2 cm−3 52 028 31 417 1.66 Good fit of the intensity;
Rh = 8.0 ± 0.3 kpc underestimates NOVII
zh = 3.3 ± 0.1 kpc

Combined (β ≡ 0.3) Eqs. (5) and (6) β ≡ 0.3 52 028 31 416 1.66 ∼Flat β model is suppressed
C = (0.9 ± 1.0)×10−3
n0 = (1.7 ± 0.1)×10−2 cm−3
Rh = 8.0 ± 0.4 kpc
zh = 3.3 ± 0.2 kpc

Combined (β0.5) β0.5 51 805 31 416 1.65 Rh≃MW stellar disk radius
C=(4.6±0.1)×10−2
n0=(3.2±0.4)×10−2cm−3
Rh = 6.2±0.4kpc
zh = 1.1±0.1kpc

Combined (β ≡ 0.7) β ≡ 0.7 51 794 31 416 1.65 Large central density of
C = (17.6 ± 0.4)×10−2 the spherical halo
n0 = (1.6 ± 0.2)×10−2 cm−3
Rh = 9.9 ± 0.9 kpc
zh = 1.6 ± 0.1 kpc

Combined+swcx β ≡ 0.5 51 448 31 416 1.64 Including SWCX model,
C = (3.2 ± 0.1)×10−2 kT = 0.178 keV
n0 = (6.3 ± 0.8)×10−2 cm−3
Rh = 3.9 ± 0.2 kpc
zh = 0.9 ± 0.1 kpc

Combined+20%instr β ≡ 0.5 51 836 31 416 1.65 +20% INST (or CXB) intensity
C = (4.3 ± 0.1)×10−2
n0 = (5.5 ± 0.6)×10−2 cm−3
Rh = 4.6 ± 0.3 kpc
zh = 0.9 ± 0.1 kpc

Combined+highϵ β ≡ 0.5 51 803 31 416 1.65 Z = 0.3 Z,  kT = 0.225 keV
C = (1.36 ± 0.03)×10−2
n0 = (9.4 ± 0.9)×10−3 cm−3
Rh = 6.2 ± 0.4 kpc
zh = 1.1 ± 0.1 kpc

Notes. By assuming r0 ≡ 1 kpc, ( † ) [cm−3 kpc3β] (see Eq. (5)) can be interpreted in terms of a central density n0 [cm−3]. The model highlighted by the bold face is used in Sect. 5 as a reference.

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