Optimization of Positron Capturing
- Thickness of the Tungsten target: 1.25 mm
- Beam size at Tungsten target: Gaussian,
Optimization with ELEGANT Simulation on the Region from Gun Exit to Tungsten Target
Emittance:
(Not sure yet, need to be calculated)Average Peak
Beam Energy:
Energy Spread:
Alpha Function:
Beta Function:
RMS longitudinal Bunch Length:
GEANT4 Simulation for 2 mm W-Target
Thickness of the Tungsten target: 2 mm
Electron Beam:
Beam size at Tungsten target: Gaussian,
Beam divergence at target: 0
Beam Energy:
Energy Spread:
A volume called "detector" is placed at the of the W-target to get the information on the only of the outgoing positrons from the W-target. Followings are from "detector".
Phase Spaces of e+ Created
Phase space for positrons coming out W-target. Include 100 % of the particles
X phase space
Y phase space
Phase Spaces ellipse of 39% particles
Total positrons created are 75483, and 39 % of them will be 29438. Core 39% area of the phase space ellipse is RMS emittance,
.Long and short axis of these two ellipse are: a = 3.791 mm; b = 1.189 rad;
Area of this ellipse would be:
X phase space
Y phase space
Transverse Beam Size
X
FCN=1008.69 FROM MIGRAD STATUS=CONVERGED 62 CALLS 63 TOTAL EDM=5.73734e-06 STRATEGY= 1 ERROR MATRIX ACCURATE EXT PARAMETER STEP FIRST NO. NAME VALUE ERROR SIZE DERIVATIVE 1 Constant 8.62885e+02 4.11205e+00 4.92422e-02 -8.37091e-04 2 Mean -1.58596e-04 1.25728e-02 1.95074e-04 -1.22250e-03 3 Sigma 3.41790e+00 1.03579e-02 1.17273e-05 -8.88590e-02
So
Y
FCN=1016.5 FROM MIGRAD STATUS=CONVERGED 62 CALLS 63 TOTAL EDM=4.46233e-06 STRATEGY= 1 ERROR MATRIX ACCURATE EXT PARAMETER STEP FIRST NO. NAME VALUE ERROR SIZE DERIVATIVE 1 Constant 8.58714e+02 4.10556e+00 4.91913e-02 -7.80242e-04 2 Mean 6.57793e-03 1.26416e-02 1.96791e-04 5.52501e-03 3 Sigma 3.43480e+00 1.04943e-02 1.18410e-05 -3.65830e-01
Transverse Beam Divergence
X
FCN=1205.9 FROM MIGRAD STATUS=CONVERGED 60 CALLS 61 TOTAL EDM=9.41429e-08 STRATEGY= 1 ERROR MATRIX ACCURATE EXT PARAMETER STEP FIRST NO. NAME VALUE ERROR SIZE DERIVATIVE 1 Constant 2.08367e+03 9.54533e+00 1.29688e-01 1.45076e-05 2 Mean 1.65233e-03 2.93970e-03 4.98630e-05 -1.42668e-01 3 Sigma 7.32175e-01 2.40413e-03 1.53830e-05 8.15997e-02
So
So
Y
FCN=1278 FROM MIGRAD STATUS=CONVERGED 60 CALLS 61 TOTAL EDM=2.39023e-07 STRATEGY= 1 ERROR MATRIX ACCURATE EXT PARAMETER STEP FIRST NO. NAME VALUE ERROR SIZE DERIVATIVE 1 Constant 2.08210e+03 9.52221e+00 1.33471e-01 4.78861e-05 2 Mean 3.97056e-03 2.94127e-03 5.13379e-05 1.97481e-01 3 Sigma 7.31984e-01 2.38977e-03 1.57624e-05 2.99074e-01
Energy and Momentum Distributions
En
P
Py vs Px
Conclusion
Positrons coming out of W-target:
Target Placed 20 cm from Quadrupole 4
x
FCN=314.927 FROM MIGRAD STATUS=CONVERGED 67 CALLS 68 TOTAL EDM=7.23115e-08 STRATEGY= 1 ERROR MATRIX ACCURATE EXT PARAMETER STEP FIRST NO. NAME VALUE ERROR SIZE DERIVATIVE 1 Constant 6.26496e+01 1.31186e+00 9.22753e-03 -2.86419e-04 2 Mean -1.55703e+00 2.98157e-01 2.40433e-03 7.26565e-04 3 Sigma 1.34518e+01 2.49312e-01 4.42013e-05 -3.10903e-02
y
FCN=203.003 FROM MIGRAD STATUS=CONVERGED 68 CALLS 69 TOTAL EDM=3.25951e-09 STRATEGY= 1 ERROR MATRIX ACCURATE EXT PARAMETER STEP FIRST NO. NAME VALUE ERROR SIZE DERIVATIVE 1 Constant 6.07799e+01 1.28695e+00 7.08046e-03 1.59797e-05 2 Mean 6.24506e-01 3.19737e-01 2.20644e-03 -2.42181e-04 3 Sigma 1.47606e+01 3.17675e-01 4.40665e-05 5.56943e-03