We offer to your attention a preprint “Application of the method of moments for the doublet and triplet analysis in the radiation spectra” E6-2023-29 issued by the JINR Publishing Department. The author is Igor Izosimov (FLNR JINR).

When processing spectra, it is usually sufficient to determine only the positions of the peaks and their areas. To use the method of moments for doublet peaks analysis, it is necessary to first construct (calibrate) the dependence of the second and third moments for single peaks on the energy of the corresponding radiation. After such calibration overlapping peaks can be separated. To separate peaks in doublet using the method of moments, it is necessary to solve a quadratic equation. To separate peaks in triplet, it is necessary to have appropriate calibration curves already up to the fifth moment inclusive and solve a cubic equation. Examples of the separation of overlapping peaks in the analysis of gamma-ray spectra are presented.

The study has been carried out in the Flerov Laboratory of Nuclear Reactions at JINR. Submitted to proceedings of the 12th International Conference on Mathematical Modeling in Physical Sciences in Belgrade, Serbia.

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