1. Research algorithm of overlapping clusters in PrimEx
By Victor Tarasov

2. Main purpose To look how works
1) mechanism of clusterization in PrimEx
2) algorithm of overlapping clusters in PrimEx

3. Simulation 1 gamma with Energy 2 GeV, X=11 cm, Y=15 cm

4. The dependence between GEANT energy and energy in HyCal (for 0. 5, 1
The dependence between GEANT energy and energy in HyCal (for 0.5, 1.0, 1.5, 2.0 GeV)

5. Simulation of 2 gammas with energies 1 and 10 GeV; 3 and 8 GeV
X1 = 5, Y1 = 15
X2 = -5, Y2 = 15
in both cases
Reconstruct position (X and Y) have a values with good agreement relatively GEANT values in error limits

6. Energy calibration in PrimEx

7. Check position and energy for 1 gamma in GEANT energy range 0
Check position and energy for 1 gamma in GEANT energy range GeV
GEANT
X=11
Y=15
in all cases

8. Table with values for 1 gamma simulation

9. Extreme position GEANT HyCal E = 2 GeV, E =(1.99±0.04) GeV
X = 32cm , X=(32.01±0,22) cm
Y = 32cm, Y=(32,04±0,24) cm

10. Double check for 2 gammas
GEANT
E1 = E2 = 5.5 ,
X1 = -5,
X2 = 5,
Y1=Y2=15,
HyCal
E = 5.56±0.08,
X1 = -4.96±0.16,
X2 = 4.97±0.16,
Y =14.98±0.12,

11. Overlapping clusters
Simulation 2 gammas with fixed Energy (1 and 4 GeV) and different distance between them:
2,3,4,5 and 6 cm

12. Dependence between probability to separate 2 clusters and distance between them
|Egeant/Ehycal -1| < 2·σ, where σ is energy resolution in researching diapason of energy

13. Conclusion Connection with PrimEx experiment
a) Examination with PrimEx setup
b) Examination with PrimEx program software, look how GEANT and prim_ana (main program for analyzing in this experiment) works
Look for mechanism of reconstruction coordinate and energy
Research mechanism of overlapping clusters