Determination of experimental cross-sections by activation method Pierre-Jean Viellenave Tutor: Dr. Vladimir Wagner Nuclear Physics Institute, Academy of Sciences of Czech Republic
Contents Introduction Spectrum analysis with DEIMOS32 Cross-sections calculation Statistical analysis (incertainty calculation) Results
Introduction My work consists: In analysing gamma spectrums from experiment with DEIMOS32… Experiment = measurement of radioactive sample (activated by activation method in a cyclotron) with different configurations …To get experimental cross-sections Different configurations = We measured the sample on one side then of the other one several times to make a statistical analysis and obtain a better precision of the results
Spectrum analysis with DEIMOS32 Gamma lines peak analysis with the software DEIMOS 32
Spectrum analysis with DEIMOS32 We’re able to plan possible reactions and isotopes produced
Spectrum analysis with DEIMOS32 Comparison between the result tables from DEIMOS 32 analysis and the internet data base (decay data search) on gamma lines to identify the isotopes
Spectrum analysis with DEIMOS32 4 isotopes found from (n,2n) to (n,4n) reactions and 1 isotope (198Au) found from (n,gamma) reaction.
Cross-sections calculation Nyield calculation: Peak area Self-absorption correction Beam correction Dead time correction Decay during cooling and measurement γline intensity Detector efficiency Correction for coincidences Square-emitter correction Weight normalization Decay during irradiation
Cross-sections calculation Detector efficiency (given): Nyield approximation:
Cross-sections calculation Nyield calculation: Sp: peak area Iγ: gamma line intensity (in %) Treal & Tlive: datas from exp. λ: decay constant Tirr: irradiation time T0: beam end – start of measurement
Cross-sections calculation Cross-section calculation: Nn: neutrons number (depends on experiment) mfoil: foil mass S: foil size (in cm2) A: mass number (197 for Au) NA: Avogadro’s number (6,022.1023 {mol-1})
Statistical analysis N yield_average calculation for each isotope => to increase the precision: Aerr: incertainty of peak area (data from DEIMOS) So =>
Statistical analysis N yield_average calculation for each isotope => to increase the precision: Aerr: incertainty of peak area (data from DEIMOS) So =>
Statistical analysis Finally: With:
Results 197Au (n, 2n) 196Au
Results 197Au (n, 4n) 194Au
Results 197Au (n, 2n) 196m2Au
Results Comments: Fluctuations are purely systematical Nyield-average isn’t depending on the configuration But the difference of Nyield-average (calculated for each gamma line and isotope) is bigger than the uncertainty of weighted average. It comes from the systematic uncertainty of efficiency determination.
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