Table 3.
Four combinations of physical quantities connecting ADAF properties to the materialisation rate in the vacuum gap.
| ṁ, Te) | (1.0 × 10−4, 1.7 × 1010 K) | (2.0 × 10−4, 1.4 × 1010 K) | (4.0 × 10−4, 1.1 × 1010 K) | (8.0 × 10−4, 8.4 × 109 K) |
| (1.0 × 10−4, 1.3 × 1010 K) | (2.0 × 10−4, 1.0 × 1010 K) | (4.0 × 10−4, 8.1 × 109 K) | (8.0 × 10−4, 6.4 × 109 K) | |
| nPP,1/m−3 | 2.8 × 109 | 4.6 × 109 | 4.7 × 109 | 3.8 × 109 |
| 6.7 × 107 | 3.8 × 107 | 5.5 × 107 | 6.9 × 107 | |
| nPP,2/m−3 | 1.4 × 109 | 5.6 × 109 | 2.2 × 1010 | 9.0 × 1010 |
| KPP, gap/s−1 m−3 | 0.031 | 0.084 | 0.088 | 0.058 |
| 1.8 × 10−5 | 5.8 × 10−6 | 1.2 × 10−5 | 1.9 × 10−5 | |
Notes. The first row shows pairs of values for the dimensionless accretion rate and for the electron temperature of an ADAF that are permitted by reconciliation of the ADAF luminosity with the luminosity of the line emitting clouds. The corresponding values of the total number density of pair producing ADAF photons according to the model by Mahadevan (1997), of the total number density of pair producing ADAF photons according to the estimation by Levinson & Rieger (2011), and of the materialisation rate of pair-produced electrons in the gap region are shown in the second, third, and fourth line, respectively. In each field, the upper item was yielded with the assumption of ξ = 1% and the lower item was yielded with ξ = 10%. As nPP, 2 is independent of Te, it has the same value for both cases.
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