M. Kusunose et al., HOT ACCRETION DISKS WITH NONTHERMAL PAIRS - INJECTION OF LOW-ENERGY NONTHERMAL ELECTRONS, The Astrophysical journal, 457(2), 1996, pp. 813-820
A model for X-ray and gamma-ray emitting regions around black holes is
presented. We assume that the emission regions are optically thin acc
retion disks where not only thermal processes but also nonthermal proc
esses are important to disk structure and emission properties; we incl
ude nonthermal electron injection, soft photon injection, e(+)e(-) pai
r production, and subsequent pair cascades as well as radiation proces
ses such as Compton scattering, bremsstrahlung, and pair annihilation.
The emission spectrum from a disk is well described by a power law pr
oduced by thermal and nonthermal Compton scatterings. The power-law in
dex a, of X-rays is nearly independent of the mass accretion rate if l
(soft)/l is constant, where alpha(x) is defined as F-nu proportional t
o nu(alpha x), with F-nu being the energy spectrum, l(soft) is the com
pactness of the injected soft photons, and l is the compactness of rel
eased gravitational energy due to mass accretion. For example, alpha(x
) is about -0.8 and -2.0, when l(soft)/l = 0.2 and 2, respectively. Ou
r model with a small l(soft)/l (<1) is promising to explain the low st
ate observed from Galactic black hole candidates. Application of our m
odel to Galactic black hole candidates, GX 339-4 and Cyg X-1, is shown
as an example. Next, the effects of pair escape on disk structure are
studied. Pair escape decreases pair density, and escaping pairs carry
away thermal energy. However, these effects on the disk structure are
minor. Finally, advective cooling/heating on disk structure as well a
s the general relativistic effects on emission spectra are shown.