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Where the parameters to be adjusted are     and
                                                     0
              (which represents the background), while     is
           0
                                                         
          now fixed and set to the value    = 2.2    , which
                                           
          is the expected value. The resulting curve is shown
          in  fig.  (14).  A  value  for  the  background  of     =
                                                       0
          406.512 ± 5.459 was obtained.










                                                                  Figure  16.  Original  distribution  for  the  1.95kV  PMT
                                                                  operating voltage.

                                                                   After the bin redefinition, and the curve fit based
                                                                  on eq. (13), with     fixed, a background of    =
                                                                                      
                                                                                                               0
                                                                  217.847 ± 3.552  counts  was  found  for  this
                                                                  distribution. This curve can be seen in fig. (17).
          Figure 14. Curve fit with added background.
           Once the value of the background was known, a
          curve  fit  was  again  carried  out  according  to  eq.
          (13), but this time, the parameters to be adjusted
          were       and     ,  while       was  fixed  to  the
                                      0
                            
                 0
          obtained  value  for  the  background     =
                                                       0
          406.512 ± 5.459 counts. The curve, along with the
          adjusted parameters is shown in fig. (15). A value of
             = (2.429 ± 0.112)      was  obtained  for  the
             
          mean lifetime.

                                                                  Figure 17. Curve fit with added background.

                                                                   With the background, a curve fit based on eq. (13)
                                                                  was carried out again, but with     fixed, and     as
                                                                                                                 
                                                                                                  0
                                                                  a parameter to be determined. This time, a value
                                                                  of     = (2.458 ± 0.113)      was  obtained.  The
                                                                        
                                                                  curve fit is shown in fig. (18).





          Figure 15. Final Curve fit.

          A2. PMT operating voltage of 1.95kV

          A completely analogous process was followed for
          the analysis of the data obtained with the 1.95kV
          operating voltage for the PMT. The initial spectrum
          is shown in fig. (16).
                                                                  Figure 18. Final curve fit.

                                                                                                            16
           Año 10 Núm. 30 septiembre-diciembre 2024                                    Tlahuizcalli ISSN: 2448-7260
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