Abstract
We have studied the influence of the density of the annihilation region on the positronium continuum. A relation between the ratio 3gamma/2gamma and the density is explicitly given, with which one can derive directly from the observed 3gamma/2gamma the density where the annihilation occurs. A unique solution may be found from the observed width of the 0.511 MeV line. We applied the method to three flares observed by GRS/SMM. It is shown that due to the measuring uncertainties in the 0.511 MeV line width, we cannot distinguish a chromospheric source from a coronal source, though both accurately localized. To improve the measuring accuracy of the 0.511 MeV line and the ratio 3gamma/2gamma will be an important step for a better understanding of the annihilation process in solar flares.
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