Integrated asymmetry

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Integrated asymmetry calculation

[math] Asymm = \frac {\sum \left[\left(\frac{up(ii)}{Wup}-\frac{upbg(ii)}{Wupbg}\right) - \left(\frac{sd(ii)}{Wsd}-\frac{sdbg(ii)}{Wsdbg}\right)\right]} {\sum \left[\left(\frac{up(ii)}{Wup}-\frac{upbg(ii)}{Wupbg}\right) + \left(\frac{sd(ii)}{Wsd}-\frac{sdbg(ii)}{Wsdbg}\right)\right]} [/math]

where
up(ii) - D2O, detector Up, Wup - weighted coefficient for up(ii)
upbg(ii) - H2O, detector Up, Wup - weighted coefficient for up(ii)
sd(ii) - D2O, detector Side, Wup - weighted coefficient for up(ii)
sdbg(ii) - N2O, detector Side, Wup - weighted coefficient for up(ii)

For detector A summation is over [1000:1600] bin numbers
For detector C summation is over [900:1600] bin numbers

Different cases was analysed:
Det A:

• [math]D_2O[/math] up, files# [40,56,102,108,134,205,210,230];
  
• [math]H_2O[/math] up, files# [44];
  
• [math]D_2O[/math] side, files# [48,74,78,82,86,90,94,146,180,190,225,235];
  
• [math]H_2O[/math] side, files# [52];
  

Det C:

• [math]D_2O[/math] up, files# [49,75,79,83,87,91,95,147,181,191,226,236];
  
• [math]H_2O[/math] up, files# [53];
  
• [math]D_2O[/math] side, files# [41,57,103,107,135,206,211,231];
  
• [math]H_2O[/math] side, files# [45];
  
  

The results are (File:Asymm table.pdf):

• Table 1: Det A, weighted with NaI detector
  
• Table 2: Det C, weighted with NaI detector
  
• Table 3: Det A, weighted with Ref detector
  
• Table 4: Det C, weighted with Ref detector
  

Change the X-axis to nanosecond or neutron energy (TF)

Only one "s" in Asymmetry

Example of bin by bin asymmetry:

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