Applications of genetic algorithms for inverting positron lifetime spectrum

Inversion of positron lifetime spectrum is performed via genetic algorithms considering a simulating counting of positron annihilation. Preliminary analysis without the inclusion of noise and for only one run produced large oscillations for the second peak in the inverted spectrum. An alternative strategy was proposed to reduce the oscillations that produced an average error of 0.03%. A maximum error of 40% was considered in the simulated data that produced a random average error of 10% in the counting data. The final inverted spectrum considering this error is in reasonable agreement with the exact result, producing a relative error of 2%.