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We study the effect of nuclear reaction on a thin, axisymmetric,differentially rotating, inviscid, steady accretion flow around a black holefrom an analytical point of view. We find that for most of the reasonable diskparameters, when $p-p$-reaction, dissociation of deuterium and helium are takeninto account, the transonic region of the disk continues to have the innersonic point and if the temperature of the flow at the injection sonic pointcould be raised (by say, some heating processes) the flow would to pass throughthis inner sonic point. Otherwise, the flow may be unstable. We use the sonicpoint analysis to study the solution. In the rest of the disk parameters theinner sonic point is absent altogether and the flow will definitely beunstable.Comment: 18 Latex pages, 6 figures; Accepted for publication in ApJ;  aaspp4.st

Stability of Accretion Disks in Presence of Nucleosynthesis