Normalization of yield data

If all of the Ge detectors span the same solid angle, then all of the data will be consistent if each count is efficiency-corrected by dividing by the relative efficiency <math>\epsilon (E_\gamma)</math> with an arbitrary overall normalization.  However, if two data sets from different detector ''[[physical_germanium_type | types]]'' are included, then the following additional correction is necessary, since Gosia calculates (OP,INTI) yield per unit Ge solid angle to be used in fits (OP,MINI).

If all of the Ge detectors span the same solid angle, then all of the data will be consistent if each count is efficiency-corrected by dividing by the relative efficiency <math>\epsilon (E_\gamma)</math> with an arbitrary overall normalization.  However, if two data sets from different detector ''[[physical_germanium_type | types]]'' are included, then the following additional correction is necessary, since Gosia calculates (OP,INTI) yield per unit Ge solid angle to be used in fits (OP,MINI).

where <math>Y</math> is the "corrected yield," <math>N_{raw}</math> is the measured count, <math>\epsilon(E_\gamma)</math> is the relative (or absolute) Ge detector efficiency and <math>\Delta\Omega_{Ge}</math> is the solid angle subtended by the germanium detector.  Here, the solid angle is in units of sr (steradians).  Obviously, if all Ge detectors span the same solid angle, then the <math>\Delta\Omega_{Ge}</math> term can be absorbed into the arbitrary overall normalization.

where <math>Y</math> is the "corrected yield," <math>N_{raw}</math> is the measured count, <math>\epsilon(E_\gamma)</math> is the relative (or absolute) Ge detector efficiency and <math>\Delta\Omega_{Ge}</math> is the solid angle subtended by the germanium detector.  Here, the solid angle is in units of sr (steradians).  Obviously, if all Ge detectors span the same solid angle, then the <math>\Delta\Omega_{Ge}</math> term can be absorbed into the arbitrary overall normalization.