A W thesis old: Difference between revisions
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| 226 || 2.12 ||coin ||<math>\pm 7.285e-4</math>|| <math> {+6.9e-5} \atop { -6.8e-5}</math> || <math> {+1.515e-5} \atop { -1.481e-5}</math> ||<math>\pm 2.13e-4</math>|| <math> {+1.16e-3} \atop { -5.77e-3}</math> ||<math> {+0.0020} \atop { -0.0014}</math> | | 226 || 2.12 ||coin ||<math>\pm 7.285e-4</math>|| <math> {+6.9e-5} \atop { -6.8e-5}</math> || <math> {+1.515e-5} \atop { -1.481e-5}</math> ||<math>\pm 2.13e-4</math>|| <math> {+1.16e-3} \atop { -5.77e-3}</math> ||<math> {+0.0020} \atop { -0.0014}</math> | ||
|- | |- | ||
| 242 || 2.27 ||coin ||<math>\pm 2.166e-4</math> || <math> {+2.0e-6} \atop { -3e-6}</math> ||<math> | | 242 || 2.27 ||coin ||<math>\pm 2.166e-4</math> || <math> {+2.0e-6} \atop { -3e-6}</math> ||<math>\pm 6.18e-6</math> ||<math>\pm 0.00012 </math>|| <math> {+4.51e-4} \atop { -1.21e-3}</math> || <math> {0.0021} \atop { -0.0014}</math> | ||
|- | |- | ||
|} | |} | ||
Revision as of 15:29, 12 September 2014
898 keV signal table
[math]\displaystyle{ \sigma_Cut }[/math]
| [math]\displaystyle{ T_{1/2} }[/math] | Trig | Signal | BackG Subtracted | Fit Parameters | Signal Area | Noise Area | SNR | ||||
| 0.44 | coin |  |
 |
[math]\displaystyle{ \mu= }[/math] 895.744 +/- 5.774e-4 | [math]\displaystyle{ \sigma= }[/math] 0.8189 +/- 0.0034 | A= 0.0097 +/- 0.0013 | B= 4.891e-9 +/- 6.707e-9 | C= 2.543e-5 +/- 1.053e-4 | 0.0217 +/- 6.383e-4 | 4.643e-4 +/- 5.804e-5 | 46.678 +/- 0.0124 |
| 0.98 | sing |  |
 |
[math]\displaystyle{ \mu= }[/math] 897.255 +/- 0.0047 | [math]\displaystyle{ \sigma= }[/math] 0.7277 +/- 0.0280 | A=0.7027 +/- 0.0129 | B= 8.448e-4+/- 4.457e-5 | C=-0.7355 +/- 0.0408 | 1.2938 +/- 0.0381 | 0.3123 +/- 0.0390 | 4.143 +/- 0.6977 |
| coin |  |
 |
[math]\displaystyle{ \mu= }[/math] 896.818 +/- 0.0075 | [math]\displaystyle{ \sigma= }[/math] 0.9856 +/- 0.0276 | A= 0.0020 +/- 2.036e-5 | B= 1.263e-8 +/- 7.797e-10 | C= 1.095e-5 +/- 5.103e-7 | 0.0049 +/- 1.446e-4 | 9.518e-5 +/- 1.190e-5 | 51.591 +/- 0.0036 | |
| 1.46 | sing |  |
 |
[math]\displaystyle{ \mu= }[/math] 897.663 +/- 0.00987 | [math]\displaystyle{ \sigma= }[/math] 0.8348 +/- 0.0580 | A=0.3925 +/- 0.1107 | B=-2.696e-4 +/- 2.725e-7 | C= 0.2633 +/- 1.939e-4 | 1.075 +/- 0.0316 | 0.0777 +/- 0.0097 | 13.827 +/- 0.3763 |
| coin |  |
 |
[math]\displaystyle{ \mu= }[/math] 897.780 +/- 0.0025 | [math]\displaystyle{ \sigma= }[/math] 0.9737 +/- 0.0186 | A= 1.679e-3 +/- 5.996e-7 | B= 1.217e-8 +/- 7.211e-11 | C= 1.098e-5 +/- 2.962e-8 | 3.987e-3 +/- 1.174e-4 | 8.732e-5 +/- 1.092e-5 | 45.661 +/- 0.0030 | |
| 2.12 | sing |  |
 |
[math]\displaystyle{ \mu= }[/math] 894.701 +/- 0.0127 | [math]\displaystyle{ \sigma= }[/math] 0.6371 +/- 0.0569 | A=0.3740 +/- 6.200e-5 | B= 8.285e-5+/- 4.503e-8 | C=-0.0482+/- 5.103e-7 | 0.6212 +/- 0.0183 | 0.0723 +/- 0.0090 | 8.588 +/- 0.3858 |
| coin |  |
 |
[math]\displaystyle{ \mu= }[/math] 890.896 +/- 0.0144 | [math]\displaystyle{ \sigma= }[/math] 1.137 +/- 0.0056 | A= 7.293e-4 +/- 8.083e-9 | B= 8.441e-7 +/- 6.284e-11 | C= -7.342e-4 +/- 2.106e-7 | 0.00199 +/- 5.872e-5 | 8.296e-5 +/- 1.037e-5 | 24.032 +/- 0.0015 | |
| 2.27 | sing |  |
 |
[math]\displaystyle{ \mu= }[/math] 903.478 +/- 0.0064 | [math]\displaystyle{ \sigma= }[/math] 0.7121 +/-0.0877 | A=0.2929 +/- 2.373e-4 | B= -7.136e-4+/- 1.414e-9 | C= 0.6715 +/- 1.777e-4 | 0.5609+/- 0.0165 | 0.0862 +/- 0.0108 | 6.505 +/- 0.3063 |
| coin |  |
 |
[math]\displaystyle{ \mu= }[/math] 905.932 +/- 0.0050 | [math]\displaystyle{ \sigma= }[/math] 0.8066 +/- 0.0236 | A= 5.888e-4 +/- 2.063e-7 | B= 1.238e-6 +/- 4.497e-10 | C= -1.106e-3 +/- 4.701e-7 | 1.170e-3 +/- 3.446e-5 | 5.310e-5 +/- 6.638e-6 | 22.033 +/- 8.137e-4 | |
Re-Fit of Run 7203 without Event Cuts
| [math]\displaystyle{ T_{1/2} }[/math] | Trig | Signal | BackG Subtracted | Fit Parameters | Signal Area | Noise Area | SNR | ||||
| 2.12 | sing |  |
 |
[math]\displaystyle{ \mu= }[/math] 894.859 +/- 0.0377 | [math]\displaystyle{ \sigma= }[/math] 0.8294 +/- 0.0389 | A= 0.1064 +/- 1.281e-4 | B=4.131e-4 +/- 3e-9 | C= -0.3439 +/- 1.047e-4 | 0.2214 +/- 0.0065 | 0.0900 +/- 0.0113 | 2.459 +/- 0.0082 |
Re-Fit of Run 7203 without Event Cuts and Scaled by 1.66
| [math]\displaystyle{ T_{1/2} }[/math] | Trig | Signal | BackG Subtracted | Fit Parameters | Signal Area | Noise Area | SNR | ||||
| 2.12 | sing |  |
 |
[math]\displaystyle{ \mu= }[/math] 894.901 +/- 0.0878 | [math]\displaystyle{ \sigma= }[/math] 0.8380 +/- 0.0389 | A= 0.1774 +/- 4.505e-4 | B=4.931e-5 +/- 9.842e-7 | C= -2.231e-3 +/- 9.027e-4 | 0.3731 +/- 0.0110 | 0.1532 +/- 0.0192 | 2.435 +/- 0.1543 |
Signal, Noise, and Signal to Noise Ratio plots for 898 keV singles runs.
Averaging over the last three noise values:
Signal, Noise, and Signal to Noise Ratio plots for 898 keV coincidence runs.
Averaging over the noise values:
Signal to Noise Ratio (Singles and Coincidence):
1836 keV signal table
1836.1 keV Signal Table
| [math]\displaystyle{ T_{1/2} }[/math] | Trig | Signal | BackG Subtracted | Fit Parameters | Signal Area | Noise Area | SNR | ||||
| 0.44 | coin |  |
 |
[math]\displaystyle{ \mu= }[/math] 1833.43 +/- 0.0058 | [math]\displaystyle{ \sigma= }[/math] 1.447 +/- 0.0228 | A= 0.0036 +/- 5.937e-7 | B= 1.129e-6 +/- 9.991e-10 | C=-2.041e-3 +/- 1.682e-6 | 0.0127 +/- 3.752e-4 | 1.937e-4 +/- 2.421e-5 | 65.781 +/- 0.0096 |
| 0.98 | sing |  |
 |
[math]\displaystyle{ \mu= }[/math] 1837.7 +/- 0.02 | [math]\displaystyle{ \sigma= }[/math] 1.126 +/- 0.0264 | A=0.3115 +/- 9.318e-6 | B=3.759e-5 +/- 2.793e-7 | C=-6.575e-2 +/- 5.102e-4 | 0.8590 +/- 0.0253 | 0.0200 +/- 0.0025 | 42.920 +/- 0.6349 |
| coin |  |
 |
[math]\displaystyle{ \mu= }[/math] 1835.86 +/- 0.01 | [math]\displaystyle{ \sigma= }[/math] 1.406 +/- 0.0201 | A= 0.0018 +/- 2.541e-7 | B= 4.930e-9 +/- 5.263e-11 | C= 8.945e-6 +/- 8.814e-8 | 0.0063 +/- 1.853e-4 | 1.037e-4 +/- 1.297e-5 | 60.662 +/- 0.0047 | |
| 1.46 | sing |  |
 |
[math]\displaystyle{ \mu= }[/math]1838.65 +/- 0.0436 | [math]\displaystyle{ \sigma= }[/math] 1.117 +/- 0.0569 | A=0.1757 +/- 3.782e-5 | B=2.046e-4 +/- 1.5e-9 | C=-3.713e-1 +/- 4.940e-5 | 0.4933 +/- 0.0145 | 0.0234 +/- 0.0029 | 21.115 +/- 0.3456 |
| coin |  |
 |
[math]\displaystyle{ \mu= }[/math] 1838.003 +/- 0.0115 | [math]\displaystyle{ \sigma= }[/math] 1.854 +/- 0.0242 | A= 9.717e-4 +/- 4.374e-7 | B= 7.051e-7 +/- 1.119e-10 | C=-1.291e-3 +/- 1.738e-7 | 0.0044+/- 1.286e-4 | 4.248e-5 +/- 5.309e-6 | 102.838 +/- 0.0033 | |
| 2.12 | sing |  |
 |
[math]\displaystyle{ \mu= }[/math] 1831.333 +/- 0.2887 | [math]\displaystyle{ \sigma= }[/math] 0.5219 +/- 0.0555 | A= 0.1601+/- 1.321e-4 | B=-1.429e-6 +/- 1.565e-10 | C=2.260e-2 +/- 5.944e-7 | 0.2214 +/- 0.0065 | 0.0462 +/- 0.0058 | 4.796 +/- 0.1192 |
| coin |  |
 |
[math]\displaystyle{ \mu= }[/math] 1824.26 +/- 0.0153 | [math]\displaystyle{ \sigma= }[/math] 1.570 +/- 0.0871 | A= 5.842e-4 +/- 1.552e-5 | B= -7.557e-7 +/- 6.718e-11 | C= 1.405e-3 +/- 1.754e-7 | 0.0024 +/- 7.002e-5 | 1.802e-4 +/- 2.252e-5 | 13.198 +/- 0.0016 | |
| 2.27 | sing |  |
 |
[math]\displaystyle{ \mu= }[/math] 1850.08 +/- 0.0361 | [math]\displaystyle{ \sigma= }[/math] 1.238 +/- 0.1486 | A=0.0741 +/- 3.058e-4 | B=4.389e-4 +/- 5.774e-10 | C=-8.040e-1 +/- 1.270e-4 | 0.2471+/- 0.0073 | 0.0451 +/- 0.0056 | 5.478 +/- 0.1354 |
| coin |  |
 |
[math]\displaystyle{ \mu= }[/math] 1854.58 +/- 0.1587 | [math]\displaystyle{ \sigma= }[/math] 1.696+/- 0.1625 | A= 3.873e-4 +/- 8.569e-7 | B= -9.482e-7 +/- 7.143e-11 | C= 0.0018 +/-3.216e-7 | 0.0017 +/- 5.083e-5 | 1.623e-5 +/- 2.028e-6 | 106.360 +/- 0.0012 | |
Re-Fit of Run 7203 without Event Cuts
| [math]\displaystyle{ T_{1/2} }[/math] | Trig | Signal | BackG Subtracted | Fit Parameters | Signal Area | Noise Area | SNR | ||||
| 2.12 | sing |  |
 |
[math]\displaystyle{ \mu= }[/math]1831.55 +/- 1.74 | [math]\displaystyle{ \sigma= }[/math]0.6455 +/- 0.0693 | A= 0.0658 +/- 0.0007 | B= 7.775e-6+/- 1.615e-7 | C= -7.311e-3 +/- 2.991e-4 | 0.1139 +/- 0.0034 | 0.0216 +/- 0.0027 | 5.282 +/- 0.0598 |
Re-Fit of Run 7236 without Event Cuts
| [math]\displaystyle{ T_{1/2} }[/math] | Trig | Signal | BackG Subtracted | Fit Parameters | Signal Area | Noise Area | SNR | ||||
| 2.12 | sing |  |
 |
[math]\displaystyle{ \mu= }[/math] 1860.48 +/- 0.0874 | [math]\displaystyle{ \sigma= }[/math]7.160 +/- 0.5751 | A= 7.067e-5 +/- 1.151e-6 | B= 8.389e-9+/- 1.764e-8 | C= -1.293e-5 +/- 3.280e-5 | 0.0013 +/- 3.914e-5 | 0.0021 +/- 0.0003 | 0.6289 +/- 0.0007 |
Signal, Noise, and Signal to Noise Ratio plots for 1836 keV singles runs.
Signal, Noise, and Signal to Noise Ratio plots for 1836 keV coincidence runs.
Averaging over the noise values:
Signal to Noise Ratio (Singles and Coincidence):
Error analysis
Half-life
Values
898 keV Singles
| Days | [math]\displaystyle{ T_{1/2} }[/math] | Trig | Energy Window | Energy Calibration | Linear Fit of Background | Gaussian Integration of Signal | Total Systematic Error |
| 105 | 0.98 | sing | [math]\displaystyle{ \pm 0.1364 }[/math] | [math]\displaystyle{ {+0.014} \atop { -0.025} }[/math] | [math]\displaystyle{ \pm 0.0025 }[/math] | [math]\displaystyle{ \pm 0.07 }[/math] | [math]\displaystyle{ {+0.2974} \atop { -0.2885} }[/math] |
| 156 | 1.46 | sing | [math]\displaystyle{ \pm 0.2308 }[/math] | [math]\displaystyle{ {+0.0071} \atop { -0.0212} }[/math] | [math]\displaystyle{ {+0.0065} \atop { -0.0063} }[/math] | [math]\displaystyle{ \pm 0.0547 }[/math] | [math]\displaystyle{ {+0.2442} \atop { -0.2579} }[/math] |
| 226 | 2.12 | sing | [math]\displaystyle{ \pm 0.057 }[/math] | [math]\displaystyle{ {+0.0562} \atop { -0.0774} }[/math] | [math]\displaystyle{ {+0.0128} \atop { -0.0122} }[/math] | [math]\displaystyle{ \pm 0.0174 }[/math] | [math]\displaystyle{ {+0.2335} \atop { -0.2546} }[/math] |
| 242 | 2.27 | sing | [math]\displaystyle{ \pm 0.1326 }[/math] | [math]\displaystyle{ {+0.0246} \atop { -0.0697} }[/math] | [math]\displaystyle{ \pm 0.01 }[/math] | [math]\displaystyle{ \pm 0.062 }[/math] | [math]\displaystyle{ {+0.1693} \atop { -0.2118} }[/math] |
898 keV Coincidence
| Days | [math]\displaystyle{ T_{1/2} }[/math] | Trig | Energy Window | Energy Calibration | Linear Fit of Background | Gaussian Integration of Signal | Coincidence Energy | Total Systematic Error |
| 105 | 0.98 | coin | [math]\displaystyle{ \pm 7.042e-4 }[/math] | [math]\displaystyle{ {+1.6e-5} \atop { -6.3e-5} }[/math] | [math]\displaystyle{ {+7.358e-6} \atop { -7.092e-6} }[/math] | [math]\displaystyle{ \pm 0.00018 }[/math] | [math]\displaystyle{ {+5.68e-4} \atop { -1.75e-3} }[/math] | [math]\displaystyle{ {+0.0013} \atop { -0.0025} }[/math] |
| 156 | 1.46 | coin | [math]\displaystyle{ \pm 6.383e-4 }[/math] | [math]\displaystyle{ {+1.5e-5} \atop { -1.3e-5} }[/math] | [math]\displaystyle{ {+2.004e-6} \atop { -1.990e-6} }[/math] | [math]\displaystyle{ {+7.611e-5} \atop { -7.605e-5} }[/math] | [math]\displaystyle{ {+4.03e-4} \atop { -6.22e-4} }[/math] | [math]\displaystyle{ {+0.0011} \atop { -0.0013} }[/math] |
| 226 | 2.21 | coin | [math]\displaystyle{ \pm 6.912e-4 }[/math] | [math]\displaystyle{ {+2.0e-5} \atop { -5.9e-5} }[/math] | [math]\displaystyle{ {+8.041e-6} \atop { -7.859e-6} }[/math] | [math]\displaystyle{ \pm 0.00013 }[/math] | [math]\displaystyle{ {+4.92e-4} \atop { -1.06e-3} }[/math] | [math]\displaystyle{ {+0.0012} \atop { -0.0018} }[/math] |
| 242 | 2.27 | coin | [math]\displaystyle{ \pm 2.179e-4 }[/math] | [math]\displaystyle{ {+2.0e-6} \atop { -4e-6} }[/math] | [math]\displaystyle{ {+4.436e-6} \atop { -4.365e-6} }[/math] | [math]\displaystyle{ \pm 1.078e-5 }[/math] | [math]\displaystyle{ {+3.63e-4} \atop { -1.52e-3} }[/math] | [math]\displaystyle{ {+5.8e-4} \atop { -0.0017} }[/math] |
1836.1 keV Singles
| Days | [math]\displaystyle{ T_{1/2} }[/math] | Trig | Energy Window | Energy Calibration | Linear Fit of Background | Gaussian Integration of Signal | Total Systematic Error |
| 105 | 0.98 | sing | [math]\displaystyle{ \pm 0.0991 }[/math] | [math]\displaystyle{ \pm 0.0028 }[/math] | [math]\displaystyle{ {+0.0051} \atop { -0.0049} }[/math] | [math]\displaystyle{ \pm 0.0197 }[/math] | [math]\displaystyle{ \pm 0.1039 }[/math] |
| 156 | 1.46 | sing | [math]\displaystyle{ \pm 0.0352 }[/math] | [math]\displaystyle{ {+0.0141} \atop { -0.0071} }[/math] | [math]\displaystyle{ {+2.51e-6} \atop { -2.48e-6} }[/math] | [math]\displaystyle{ \pm 0.0240 }[/math] | [math]\displaystyle{ {+0.0548} \atop { -0.0586} }[/math] |
| 226 | 2.12 | sing | [math]\displaystyle{ \pm 0.0571 }[/math] | [math]\displaystyle{ {+0.0122} \atop { -0.0244} }[/math] | [math]\displaystyle{ {+0.0092} \atop { -0.0085} }[/math] | [math]\displaystyle{ {+0.0321} \atop { -0.0320} }[/math] | [math]\displaystyle{ {+0.0769} \atop { -0.0880} }[/math] |
| 242 | 2.27 | sing | [math]\displaystyle{ \pm 0.0480 }[/math] | [math]\displaystyle{ \pm 0.0041 }[/math] | [math]\displaystyle{ {+0.0055} \atop { -0.0054} }[/math] | [math]\displaystyle{ {+0.027} \atop { -0.0272} }[/math] | [math]\displaystyle{ \pm 0.059 }[/math] |
1836.1 keV Coincidence
| Days | [math]\displaystyle{ T_{1/2} }[/math] | Trig | Energy Window | Energy Calibration | Linear Fit of Background | Gaussian Integration of Signal | Coincidence Energy Cut | Total Systematic Error |
| 105 | 0.98 | coin | [math]\displaystyle{ \pm 5.105e-4 }[/math] | [math]\displaystyle{ {+7.9e-5} \atop { -3.1e-5} }[/math] | [math]\displaystyle{ {+2.505e-6} \atop { -2.475e-6} }[/math] | [math]\displaystyle{ \pm 8.97e-5 }[/math] | [math]\displaystyle{ {+3.11e-4} \atop { -2.57e-3} }[/math] | [math]\displaystyle{ {+9.05e-4} \atop { -0.0031} }[/math] |
| 156 | 1.46 | coin | [math]\displaystyle{ \pm 6.325e-4 }[/math] | [math]\displaystyle{ {+2.4e-5} \atop { -3.7e-5} }[/math] | [math]\displaystyle{ {+3.422e-6} \atop { -3.347e-6 } }[/math] | [math]\displaystyle{ \pm 5.83e-5 }[/math] | [math]\displaystyle{ {+4.63e-4} \atop { -2.82e-3} }[/math] | [math]\displaystyle{ {+0.0011} \atop { -0.0035} }[/math] |
| 226 | 2.12 | coin | [math]\displaystyle{ \pm 7.285e-4 }[/math] | [math]\displaystyle{ {+6.9e-5} \atop { -6.8e-5} }[/math] | [math]\displaystyle{ {+1.515e-5} \atop { -1.481e-5} }[/math] | [math]\displaystyle{ \pm 2.13e-4 }[/math] | [math]\displaystyle{ {+1.16e-3} \atop { -5.77e-3} }[/math] | [math]\displaystyle{ {+0.0020} \atop { -0.0014} }[/math] |
| 242 | 2.27 | coin | [math]\displaystyle{ \pm 2.166e-4 }[/math] | [math]\displaystyle{ {+2.0e-6} \atop { -3e-6} }[/math] | [math]\displaystyle{ \pm 6.18e-6 }[/math] | [math]\displaystyle{ \pm 0.00012 }[/math] | [math]\displaystyle{ {+4.51e-4} \atop { -1.21e-3} }[/math] | [math]\displaystyle{ {0.0021} \atop { -0.0014} }[/math] |
Percent Error
898 keV Singles
| Days | [math]\displaystyle{ T_{1/2} }[/math] | Trig | Energy Window | Energy Calibration | Linear Fit of Background | Gaussian Integration of Signal | Total Systematic Error |
| 105 | 0.98 | sing | [math]\displaystyle{ \pm 10% }[/math] | [math]\displaystyle{ {+1.026%} \atop { -1.833%} }[/math] | [math]\displaystyle{ {+18.094%} \atop { -16.767%} }[/math] | [math]\displaystyle{ \pm 5.132% }[/math] | [math]\displaystyle{ {+21.802%} \atop { -21.154%} }[/math] |
| 156 | 1.46 | sing | [math]\displaystyle{ \pm 26.538% }[/math] | [math]\displaystyle{ {+0.816%} \atop { -2.438%} }[/math] | [math]\displaystyle{ {+0.747%} \atop { -0.724%} }[/math] | [math]\displaystyle{ \pm 6.29% }[/math] | [math]\displaystyle{ {+28.08%} \atop { -29.66%} }[/math] |
| 226 | 2.12 | sing | [math]\displaystyle{ \pm 37.249% }[/math] | [math]\displaystyle{ {+11.874%} \atop { -16.353%} }[/math] | [math]\displaystyle{ {+2.704%} \atop { -2.578%} }[/math] | [math]\displaystyle{ \pm 3.676% }[/math] | [math]\displaystyle{ {+49.335%} \atop { -53.790%} }[/math] |
| 242 | 2.27 | sing | [math]\displaystyle{ \pm 22.835% }[/math] | [math]\displaystyle{ {+4.236%} \atop { -12.003%} }[/math] | [math]\displaystyle{ \pm 1.722% }[/math] | [math]\displaystyle{ \pm 10.677% }[/math] | [math]\displaystyle{ {+29.151%} \atop { -36.477%} }[/math] |
898 keV Coincidence
| Days | [math]\displaystyle{ T_{1/2} }[/math] | Trig | Energy Window | Energy Calibration | Linear Fit of Background | Gaussian Integration of Signal | Coincidence Energy | Total Systematic Error |
| 105 | 0.98 | coin | [math]\displaystyle{ \pm 13.54% }[/math] | [math]\displaystyle{ {+0.31%} \atop { -1.21%} }[/math] | [math]\displaystyle{ {+0.142%} \atop { -0.136%} }[/math] | [math]\displaystyle{ \pm 3.46% }[/math] | [math]\displaystyle{ {+10.92%} \atop { -33.65%} }[/math] | [math]\displaystyle{ {+25.01%} \atop { -48.53%} }[/math] |
| 156 | 1.46 | coin | [math]\displaystyle{ \pm 15.2% }[/math] | [math]\displaystyle{ {+0.36%} \atop { -0.31%} }[/math] | [math]\displaystyle{ {+0.048%} \atop { -0.047%} }[/math] | [math]\displaystyle{ \pm 1.81% }[/math] | [math]\displaystyle{ {+9.6%} \atop { -14.8%} }[/math] | [math]\displaystyle{ {+25.2%} \atop { -30.4%} }[/math] |
| 226 | 2.21 | coin | [math]\displaystyle{ \pm 20.3% }[/math] | [math]\displaystyle{ {+0.59%} \atop { -1.74%} }[/math] | [math]\displaystyle{ {+0.237%} \atop { -0.231%} }[/math] | [math]\displaystyle{ \pm 3.82% }[/math] | [math]\displaystyle{ {+14.5%} \atop { -31.2%} }[/math] | [math]\displaystyle{ {+35.6%} \atop { -53.4%} }[/math] |
| 242 | 2.27 | coin | [math]\displaystyle{ \pm 6.41% }[/math] | [math]\displaystyle{ {+0.059%} \atop { -0.12%} }[/math] | [math]\displaystyle{ {+0.130%} \atop { -0.128%} }[/math] | [math]\displaystyle{ \pm 0.317% }[/math] | [math]\displaystyle{ {+10.68%} \atop { -44.71%} }[/math] | [math]\displaystyle{ {+17.15%} \atop { -51.23%} }[/math] |
1836.1 keV Singles
| Days | [math]\displaystyle{ T_{1/2} }[/math] | Trig | Energy Window | Energy Calibration | Linear Fit of Background | Gaussian Integration of Signal | Total Systematic Error |
| 105 | 0.98 | sing | [math]\displaystyle{ \pm 11.778% }[/math] | [math]\displaystyle{ \pm 0.33% }[/math] | [math]\displaystyle{ {+0.606%} \atop { -0.582%} }[/math] | [math]\displaystyle{ \pm 2.241% }[/math] | [math]\displaystyle{ \pm 12.35% }[/math] |
| 156 | 1.46 | sing | [math]\displaystyle{ \pm 7.019% }[/math] | [math]\displaystyle{ {+2.812%} \atop { -1.416%} }[/math] | [math]\displaystyle{ {+5e-4%} \atop { -4.9e-4%} }[/math] | [math]\displaystyle{ \pm 4.786% }[/math] | [math]\displaystyle{ {+10.933%} \atop { -9.698%} }[/math] |
| 226 | 2.12 | sing | [math]\displaystyle{ \pm 20.234% }[/math] | [math]\displaystyle{ {+4.323%} \atop { -8.646%} }[/math] | [math]\displaystyle{ {+3.26%} \atop { -3.012%} }[/math] | [math]\displaystyle{ {+11.375%} \atop { -11.339%} }[/math] | [math]\displaystyle{ {+27.259%} \atop { -31.172%} }[/math] |
| 242 | 2.27 | sing | [math]\displaystyle{ \pm 19.6% }[/math] | [math]\displaystyle{ \pm 1.674% }[/math] | [math]\displaystyle{ {+2.246%} \atop { -2.205%} }[/math] | [math]\displaystyle{ {+11.025%} \atop { -11.107%} }[/math] | [math]\displaystyle{ {+24.066%} \atop { -24.1%} }[/math] |
1836.1 keV Coincidence
| Days | [math]\displaystyle{ T_{1/2} }[/math] | Trig | Energy Window | Energy Calibration | Linear Fit of Background | Gaussian Integration of Signal | Coincidence Energy Cut | Total Systematic Error |
| 105 | 0.98 | coin | [math]\displaystyle{ \pm 8.23% }[/math] | [math]\displaystyle{ {+1.27%} \atop { -0.5%} }[/math] | [math]\displaystyle{ \pm 0.04% }[/math] | [math]\displaystyle{ \pm 1.45% }[/math] | [math]\displaystyle{ {+5.02%} \atop { -41.45%} }[/math] | [math]\displaystyle{ {+14.6%} \atop { -50.2%} }[/math] |
| 156 | 1.46 | coin | [math]\displaystyle{ \pm 13.75% }[/math] | [math]\displaystyle{ {+0.522%} \atop { -0.804%} }[/math] | [math]\displaystyle{ {+0.074%} \atop { -0.073% } }[/math] | [math]\displaystyle{ \pm 1.267% }[/math] | [math]\displaystyle{ {+10.07%} \atop { -61.3%} }[/math] | [math]\displaystyle{ {+24.37%} \atop { -75.87%} }[/math] |
| 226 | 2.12 | coin | [math]\displaystyle{ \pm 11.75% }[/math] | [math]\displaystyle{ {+1.11%} \atop { -1.10%} }[/math] | [math]\displaystyle{ {+0.244%} \atop { -0.239%} }[/math] | [math]\displaystyle{ \pm 3.44% }[/math] | [math]\displaystyle{ {+18.71%} \atop { -93.06%} }[/math] | [math]\displaystyle{ {+31.76%} \atop { -105.97%} }[/math] |
| 242 | 2.27 | coin | [math]\displaystyle{ \pm 13.54% }[/math] | [math]\displaystyle{ {+0.125%} \atop { -0.188%} }[/math] | [math]\displaystyle{ {+125%} \atop { -0.386%} }[/math] | [math]\displaystyle{ \pm 7.5% }[/math] | [math]\displaystyle{ {+28.2%} \atop { -75.6%} }[/math] | [math]\displaystyle{ {132%} \atop { -89.7%} }[/math] |
=other
898 keV Signal and Background Noise Table
| Run # | Area of Signal | Area of Background | Signal to Noise Ratio |
| 7203 | 130.17 | 120.59 | 1.08 |
| 7204 | 825.34 | 558.66 | 1.48 |
| 7235 | 194.38 | 60.23 | 3.23 |
| 7236 | 1429.75 | 436.93 | 3.27 |
1836.1 keV Signal and Background Noise Table
| Run # | Area of Signal | Area of Background | Signal to Noise Ratio |
| 7203 | 83.29 | 24.73 | 3.37 |
| 7204 | 944.58 | 101.68 | 9.29 |
| 7235 | 82.25 | 20.90 | 3.94 |
| 7236 | 1849.86 | 97.64 | 18.95 |
Efficiency on 2/28/2014
| Run | Source | Energy | Expected rate (Hz) | HpGe Det B Rate (ADC 7) (Hz) | HpGe Eff (%) |
| 7028 | Ba-133 | 80.9971 | 1067.468 +/- 1.131 | 14.483 +/- 1.442 | 1.357 |
| 7028 | Ba-133 | 276.3997 | 221.297 +/- 0.2345 | 4.239 +/- 0.9671 | 1.916 |
| 7028 | Ba-133 | 302.8510 | 574.310 +/- 0.6085 | 9.523 +/- 0.5539 | 1.658 |
| 7028 | Ba-133 | 356.0134 | 1941.418 +/- 2.057 | 27.130 +/- 1.316 | 1.397 |
| 7028 | Ba-133 | 383.8480 | 278.416 +/- 0.2950 | 3.982 +/- 0.2440 | 1.430 |
| 7027 | Na-22 | 511 | 1589.218 +/- 1.842 | 17.545 +/- 0.4560 | 1.104 |
| 7025 | Cs-137 | 661.657 | 2548.022 +/- 2.222 | 25.622+/- 0.3286 | 1.006 |
| 7029 | Mn-54 | 834.848 | 4032.782 +/- 0.0114 | 0.2911 +/- 0.1667 | 0.0072 |
| 7026 | Co-60 | 1173.228 | 1876.619 +/- 0.2687 | 11.062 +/- 0.1215 | 0.589 |
| 7027 | Na-22 | 1274.537 | 888.264 +/- 1.029 | 4.685 +/- 0.0825 | 0.527 |
| 7026 | Co-60 | 1332.492 | 1878.167 +/- 0.2690 | 9.616 +/- 0.1181 | 0.512 |
Signal, Noise, and Signal to Noise Ratio plots for 898 keV singles runs.
Signal, Noise, and Signal to Noise Ratio plots for 898 keV coincidence runs.
[math]\displaystyle{ \sigma_Fit }[/math]
| [math]\displaystyle{ T_{1/2} }[/math] | Trig | Fit Parameters | Signal Area | Noise Area | SNR | ||||
| 0.98 | sing | [math]\displaystyle{ \mu= }[/math] 897.260 +/- 0.0047 | [math]\displaystyle{ \sigma= }[/math] 0.7074 +/- 0.0280 | A=0.725 +/- 0.0129 | B= 8.448e-4+/- 4.457e-5 | C=-0.7355 +/- 0.0408 | 0.9938 +/- 0.0054 | 0.3039 +/- 0.0380 | 3.270 +/- 0.0243 |
| coin | [math]\displaystyle{ \mu= }[/math] +/- | [math]\displaystyle{ \sigma= }[/math] +/- | A= +/- | B= +/- | C= +/- | +/- | +/- | +/- | |
| 2.27 | sing | [math]\displaystyle{ \mu= }[/math] 903.482 +/- 0.0064 | [math]\displaystyle{ \sigma= }[/math] 0.6595 +/- 0.0877 | A= 0.3199 +/- 0.0156 | B= -7.248e-4+/- 9.968e-7 | C= 6.816e-1 +/- 8.138e-4 | 0.5146 +/- 0.0073 | 0.0852 +/- 0.0107 | 6.037 +/- 0.0082 |
| coin | [math]\displaystyle{ \mu= }[/math] +/- | [math]\displaystyle{ \sigma= }[/math] +/- | A= +/- | B= +/- | C= +/- | +/- | +/- | +/- | |
Fit method
Do the fit:
get parameters for line
Then fill 1 histogram with line
Then subtract
TH1F *coin1=new TH1F("coin1","coin1",30,1800,1860);
ntuple->Draw("ADC7*0.604963-49.7001 >>coin1")
TH1F *lin1=new TH1F("lin1","line1",30,1800,1860);
for(int i=1800;i<1861;i++){
lin1->Fill(i,-2028+1.12*i)
}
TH1F *sub1=new TH1F("sub1","sub1",30,1800,1860);
sub1->Add(coin1,1);
sub1->Add(lin1,-1);
sub1->Draw();
A pdf of the Mathematica notebook used to calculate background area, gaussian area, and plot signal/noise vs. activity.
File:AW Background Noise custom4.pdf
All the ROOT fit parameters used to find the background and the resulting peaks.
File:Y-88 Fit Log Scaled&Cut.pdf
Integrating the gaussian of the HpGe detector signal.
File:AW Gaussian Integral2.pdf
- [math]\displaystyle{ f(x)=A \textstyle \int_{\mu-2\sigma}^{\mu+2\sigma} e^{-\frac{1}{2}\left(\frac{x-\mu}{\sigma}\right)^2} \operatorname{d}\!x +B x +C }[/math]