Disk structure with advective cooling and pair production is studied,
using a recently obtained local solution by Abramowicz and coworkers a
nd a self-similar solution by Narayan and Yi. They found that there is
a maximum accretion rate above which no steady state solution is allo
wed, when the value of the alpha-parameter of viscosity is smaller tha
n a critical value, alpha(cr). In this paper we show that the maximum
accretion rate is reduced by pair production and that the value of alp
ha(cr) (similar to 1) increases slightly because of radiative cooling
by pairs. These effects are, however, only important when the accretio
n rate is near the Eddington rate; otherwise, the disk structure with
alpha < alpha(cr) is not significantly changed by pair production. Thi
s is because the surface density is kept low as a result of advective
cooling, and photon-photon collisions do not contribute to pair produc
tion significantly. The maximum value of n(+)/n(p) is about 1 when alp
ha = 1, where n(+) and n(p) are the number densities of positrons and
protons, respectively. When alpha > alpha(cr), on the other hand, disk
structure is strongly changed by pairs; there are multiple solutions
for certain values of accretion rate in the (surface density, accretio
n rate)-plane. The additional solutions exist because of a high pair d
ensity.