Fitting Results for Co-57 Runs

Multi-MuTau Model

The "Multi-MuTau Model" is developed by using information from the known mutau-electron and mutau-hole distributions to include multiple mutau values and their relative frequencies. All the mutau values and their frequency of occurrence are entered into the model as fixed parameters -just like the bias voltage. The free parameters are only sigma, gain, and normalization factors.

In the block level calibraion data, the measurement of mutau-electron and mutau-hole was done for each CZT detector. The 28,672 CZTs (14 blocks) have been processed and 26,301 sets of mutau products were succesfully obtained so far. The resultant cross plot of mutau-electron and mutau-hole is shown in the left panel. We devided it in grids with equal interval in log-scale. For each grid, a fraction of number of detectors to the total number (26,301) is calculated and those more than 0.1 % are shown in the red color. To construct spectral model for summed spectrum, we firstly calculate "mutau-model" for each 36 grid with mutau products at the center of the grid, and sum them up with the fraction of the grid as a weight, we call this "multi-mutau-model." The parameters of this model are listed below. The free parameters are only sigma, gain, and normalization factors.


EXT NO.PARAMETER NAMEDescription
1VoltageBias voltage, which is constant usually at the nominal operation voltage of 200V.
2SigmaElectronic noise in the unit of channel (1 channel corresponds to 0.25 keV), excluding the low-energy tail effect.
3GainGain parameter in the unit of channel/keV. The gain factor, which is used in model culculation to adjust peak position with data histogram.
4NormNormarization of 122 keV line in the unit of photons/cm^2.

Coarse-Grid Runs

1. arr_x_co57_200_20_030619_2_c.pha
  • Source Position

    • SOURCE_X = -7.769216 cm
    SOURCE_Y = 4.365952 cm
    SOURCE_Z = 294.4 cm
  • Distribution Files:

    • arr_x_co57_200_20_030619_2_dist_122.txt
    arr_x_co57_200_20_030619_2_dist_136.txt
  • Fitting Parameters

    • EXT NO.PARAMETER NAMEVALUEAPPROXIMATE ERROR
    1Voltage2.00000e+02constant
    2Sigma6.20010e+002.06508e-03
    3Gain4.04355e+008.06411e-08
    4Norm1.85014e+022.04976e-02
  • Goodness of Fitting

    • Reduced-Chi-Squared = 1422.89 (DOF=480)
  • Area of the Data and Model Histograms

    •  Full Energy RangeFitted Energy Region
    DATA21.008520.1996
    MODEL20.237820.1046
2. arr_x_co57_200_20_030619_3_c.pha
  • Source Position

    • SOURCE_X = -18.1492 cm
    SOURCE_Y = 15.14247 cm
    SOURCE_Z = 294.2 cm
  • Distribution Files:

    • arr_x_co57_200_20_030619_3_dist_122.txt
    arr_x_co57_200_20_030619_3_dist_136.txt
  • Fitting Parameters

    • EXT NO.PARAMETER NAMEVALUEAPPROXIMATE ERROR
    1Voltage2.00000e+02constant
    2Sigma6.20970e+001.99013e-03
    3Gain4.04329e+002.65015e-07
    4Norm1.87651e+022.00011e-02
  • Goodness of Fitting

    • Reduced-Chi-Squared = 1604.41 (DOF=480)
  • Area of the Data and Model Histograms

    •  Full Energy RangeFitted Energy Region
    DATA21.435920.5609
    MODEL20.560920.5041
3. arr_x_co57_200_22_030618_6_c.pha
  • Source Position

    • SOURCE_X = -12.65648 cm
    SOURCE_Y = 3.72163 cm
    SOURCE_Z = 294.2 cm
  • Distribution Files:

    • arr_x_co57_200_22_030618_6_dist_122.txt
    arr_x_co57_200_22_030618_6_dist_136.txt
  • Fitting Parameters

    • EXT NO.PARAMETER NAMEVALUEAPPROXIMATE ERROR
    1Voltage2.00000e+02constant
    2Sigma6.18243e+001.87732e-03
    3Gain4.04803e+009.06150e-08
    4Norm1.86496e+021.89593e-02
  • Goodness of Fitting

    • Reduced-Chi-Squared = 1827.58 (DOF=480)
  • Area of the Data and Model Histograms

    •  Full Energy RangeFitted Energy Region
    DATA21.152120.3303
    MODEL20.425220.2905
4. arr_x_co57_200_20_030619_8_c.pha
  • Source Position

    • SOURCE_X = -8.64948 cm
    SOURCE_Y = 17.98445 cm
    SOURCE_Z = 294.2 cm
  • Distribution Files:

    • arr_x_co57_200_20_030619_8_dist_122.txt
    arr_x_co57_200_20_030619_8_dist_136.txt
  • Fitting Parameters

    • EXT NO.PARAMETER NAMEVALUEAPPROXIMATE ERROR
    1Voltage2.00000e+02constant
    2Sigma6.17189e+001.79118e-03
    3Gain4.04540e+002.42107e-07
    4Norm1.85193e+021.77491e-02
  • Goodness of Fitting

    • Reduced-Chi-Squared = 2064.14 (DOF=480)
  • Area of the Data and Model Histograms

    •  Full Energy RangeFitted Energy Region
    DATA21.024320.2229
    MODEL20.33520.1991
5. arr_x_co57_200_20_030619_9_c.pha
  • Source Position

    • SOURCE_X = -12.87125 cm
    SOURCE_Y = 175.7463 cm
    SOURCE_Z = 294.2 cm
  • Distribution Files:

    • arr_x_co57_200_20_030619_9_dist_122.txt
    arr_x_co57_200_20_030619_9_dist_136.txt
  • Fitting Parameters

    • EXT NO.PARAMETER NAMEVALUEAPPROXIMATE ERROR
    1Voltage2.00000e+02constant
    2Sigma6.27207e+003.18964e-03
    3Gain4.04223e+001.77864e-07
    4Norm1.23500e+022.06047e-02
  • Goodness of Fitting

    • Reduced-Chi-Squared = 1176.53 (DOF=480)
  • Area of the Data and Model Histograms

    •  Full Energy RangeFitted Energy Region
    DATA13.555213.1083
    MODEL12.878312.7977

Far-Field Runs

1. arr_x_co57_200_21_0_0_030404_1_c.pha
  • Source Position

    • SOURCE_X = 38.11794 cm
    SOURCE_Y = 147.4319 cm
    SOURCE_Z = 1931. cm
  • Distribution Files:

    • arr_x_co57_200_21_0_0_030404_1_dist_122.txt
    arr_x_co57_200_21_0_0_030404_1_dist_136.txt
  • Fitting Parameters

    • EXT NO.PARAMETER NAMEVALUEAPPROXIMATE ERROR
    1Voltage2.00000e+02constant
    2Sigma6.24532e+008.00794e-03
    3Gain4.04987e+006.43415e-06
    4Norm4.14425e+001.79892e-03
  • Goodness of Fitting

    • Reduced-Chi-Squared = 120.356 (DOF=480)
  • Area of the Data and Model Histograms

    •  Full Energy RangeFitted Energy Region
    DATA0.4599930.454187
    MODEL0.4549680.451828
2. arr_x_co57_200_21_0_south45_030405_14_c.pha
  • Source Position

    • SOURCE_X = 1402.607 cm
    SOURCE_Y = -77.00868 cm
    SOURCE_Z = 1925.015 cm
  • Distribution Files:

    • arr_x_co57_200_21_0_south45_030405_14_dist_122.txt
    arr_x_co57_200_21_0_south45_030405_14_dist_136.txt
  • Fitting Parameters

    • EXT NO.PARAMETER NAMEVALUEAPPROXIMATE ERROR
    1Voltage2.00000e+02constant
    2Sigma6.32772e+001.67323e-02
    3Gain4.04071e+001.00546e-06
    4Norm2.48150e+002.23570e-03
  • Goodness of Fitting

    • Reduced-Chi-Squared = 40.6335 (DOF=480)
  • Area of the Data and Model Histograms

    •  Full Energy RangeFitted Energy Region
    DATA0.2630330.257722
    MODEL0.2510940.249588
3. arr_x_co57_200_21_n25_0_030405_6_c.pha
  • Source Position

    • SOURCE_X = 29.54798 cm
    SOURCE_Y = 582.2662 cm
    SOURCE_Z = 1977.128 cm
  • Distribution Files:

    • arr_x_co57_200_21_n25_0_030405_6_dist_122.txt
    arr_x_co57_200_21_n25_0_030405_6_dist_136.txt
  • Fitting Parameters

    • EXT NO.PARAMETER NAMEVALUEAPPROXIMATE ERROR
    1Voltage2.00000e+02constant
    2Sigma6.28818e+006.90396e-03
    3Gain4.04535e+005.42790e-08
    4Norm3.64267e+001.32379e-03
  • Goodness of Fitting

    • Reduced-Chi-Squared = 184.735 (DOF=480)
  • Area of the Data and Model Histograms

    •  Full Energy RangeFitted Energy Region
    DATA0.4096510.402407
    MODEL0.3965480.393839
4. arr_x_co57_200_21_n25_0_030405_9_c.pha
  • Source Position

    • SOURCE_X = 687.1508 cm
    SOURCE_Y = 145.6109 cm
    SOURCE_Z = 1927.723 cm
  • Distribution Files:

    • arr_x_co57_200_21_n25_0_030405_9_dist_122.txt
    arr_x_co57_200_21_n25_0_030405_9_dist_136.txt
  • Fitting Parameters

    • EXT NO.PARAMETER NAMEVALUEAPPROXIMATE ERROR
    1Voltage2.00000e+02constant
    2Sigma6.19914e+006.83573e-03
    3Gain4.04928e+001.93941e-07
    4Norm3.61394e+001.35227e-03
  • Goodness of Fitting

    • Reduced-Chi-Squared = 160.841 (DOF=480)
  • Area of the Data and Model Histograms

    •  Full Energy RangeFitted Energy Region
    DATA0.3994230.393054
    MODEL0.3922710.389586

Angular Depecdence of the Residual



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