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Particle Emission Probabilities

Particle Emission Probabilities Edgardo Browne Decay Data Evaluation Project Workshop May 12 – 14, 2008 Bucharest, Romania. Particle Emission Probabilities. Directly measured Deduced from g -ray intensity balance. 240 Pu Alpha Spectrum I 2 I 1.

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Particle Emission Probabilities

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  1. Particle Emission ProbabilitiesEdgardo BrowneDecay Data Evaluation Project WorkshopMay 12 – 14, 2008Bucharest, Romania

  2. Particle Emission Probabilities • Directly measured • Deduced from g-ray intensity balance

  3. 240Pu Alpha SpectrumI2 I1

  4. The a-particle emission probabilities are: p1(%)= I1 x 100/(I1 + I2), and p2(%)= I2 x 100/(I1 + I2) I1 and I2 are spectral areas

  5. Uncertainties assuming uncorrelated spectral areas (I1, I2) and small dI1 and dI2 values. p1(%)= I1 x 100/(I1 + I2) p2(%)= I2 x 100/(I1 + I2) dp12=(dp1/dI1)2 dI12 + (dp1/dI2)2 dI22 dp22=(dp2/dI1)2 dI12 + (dp2/dI2)2 dI22 = 1002 x [(I12 dI22 + I22 dI12 )] 2 (I1 + I2 ) Notice that if I1 = I2 = I, and dI1 = dI2, then dp1/p1 = dp2/p2 = (2)1/2/2 dI/I Surprising??

  6. Of course NOT! p1 and p2 are correlated! p1= I1 x 100/(I1 + I2) = 100 x 1/(1 + I2/ I1) p2= I2 x 100/(I1 + I2) = 100 x 1/(1 + I1/ I2)

  7. Back to 240Pu

  8. dp12 = dp22 = 1002 x [I12 dI22 + I22 dI12], so (I1+I2)4 dp12 = dp22 = [73.512 x 0.212 + 26.392 + 0.362] = 328.56 1002 1002 dp1 = dp2= (328.56)1/2 = 0.18 100 Finally, p1 = 73.51 + 0.18 % p2 = 26.39 + 0.18 %

  9. General CaseNucl. Instr. Meth. In Phys. Res. A265, 541 (1988)

  10. Particle Emission Probabilities Deduced from Decay Scheme

  11. The uncertainties become

  12. If p1(%)=0, then T1 = T2 + T5

  13. 133Ba EC Decay to 133Cs

  14. Normalization factor N=100/(T81 + T161 + T384) = 1.0044 The uncertainties become: de384 = 0.74, de437 = 2.0 (Notice that they are not equal). e437 = 86 + 2 % and e384 = 14.00 + 0.74 % 133Ba EC Decay to 133Cs

  15. 133Ba EC Decay to 133Cs If we assume e81 = e162 = 0%, then N = 100/(T356+T276+T384+T223) = 1.00090, and e437 = 86.00 + 0.67 %, and e384 = 14.00 + 0.67 % For the general case see Nucl. Instr. Meth. In Phys. Res. A265, 541 (1988)

  16. 145Ba Total Absorption g-Ray Spectrum (1997Gr09)

  17. 145Ba Decay Scheme Based on Total Absorption g-Ray Spectrum1997Gr09 145Ba b- 3900 keV 68% 3000 keV 2566 keV 25% 7.0+2.2% 0 keV 145La

  18. Thank you!

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