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In the paper we suggest the procedure of calculation of the o-Ps lifetime in the pick-off process. The procedure follows the scheme proposed by Tao but we employed the correct positron wave function. We extended our calculations for the case when the o-Ps is overlapping the core region of hydrogen and carbon atoms. The obtained dependence between the lifetime and the radius of the o-Ps fits much better to the experimental one observed in silica gel than the original Tao relation.

Calculations of Annihilation Rate of o-Ps in Pick-Off Process