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| | [http://wiki.iac.isu.edu/index.php/PhotoFission_with_Polarized_Photons_from_HRRL Go Back] | | [http://wiki.iac.isu.edu/index.php/PhotoFission_with_Polarized_Photons_from_HRRL Go Back] |
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| − | =Minimum accelerator energy to run experiment=
| + | =condition 1: fitting the collimator size into the hole= |
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| − | ==condition 1: fitting the collimator size into the hole==
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| − | [[File:min_energy.png|800px]]
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| − | The minimum energy of accelerator (MeV) is limited by fitting the collimator size <math>r_2</math> into the hole R = 8.73 cm:
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| − | <math>x_2 + r_2 = R</math>
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| − | 1) Assuming the collimator diameter is <math>\Theta_C</math>:
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| − | <math>\frac{1}{\sqrt{2}}\ (286+183)\ \tan\left(\frac{0.511}{E_{min}}\right) +
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| − | \frac{1}{2}\ (286+183)\ \tan\left(\frac{0.511}{E_{min}}\right) = 8.73 \Rightarrow E_{min} = 33.1\ MeV </math>
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| − | 2) Assuming the collimator diameter is <math>\Theta_C/2</math>:
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| − | <math>\frac{1}{\sqrt{2}}\ (286+183)\ \tan\left(\frac{0.511}{E_{min}}\right) +
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| − | \frac{1}{2}\ (286+183)\ \tan\left(\frac{1}{2}\ \frac{0.511}{E_{min}}\right) = 8.73 \Rightarrow E_{min} = 26.3\ MeV </math>
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| − | 3) Assuming the collimator diameter is <math>\Theta_C/4</math>:
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| − | <math>\frac{1}{\sqrt{2}}\ (286+183)\ \tan\left(\frac{0.511}{E_{min}}\right) +
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| − | \frac{1}{2}\ (286+183)\ \tan\left(\frac{1}{4}\ \frac{0.511}{E_{min}}\right) = 8.73 \Rightarrow E_{min} = 22.8\ MeV </math>
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| − | 4) for arbitrary collimator size <math>\Theta_C/2</math>:
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| − | [[File:plot_energy_collimatorsize.jpeg]]
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| − | All energy above this line is good to run experiment
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| − | ==condition 2: F1A = 286 cm==
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| − | 1) assuming the collimator diameter is <math>\Theta_C</math>
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| − | <math> E_{min} = 73.7\ MeV </math>
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| − | 2) assuming the collimator diameter is <math>\Theta_C/2</math>
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| − | <math> E_{min} = 36.9\ MeV </math>
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| − | 3) assuming the collimator diameter is <math>\Theta_C/4</math>
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| − | <math> E_{min} = 18.4\ MeV </math>
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| − | 4) for arbitrary collimator size <math>\Theta_C/m</math>:
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| − | [[File:plot_energy_F1A.jpeg]]
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| − | All energy above this line is good to run experiment
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| − | ==both conditions above are together==
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| − | [[File:plot_energy_bothcondition.jpeg]]
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| − | All energy above this lines is good to run experiment
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| − | [http://wiki.iac.isu.edu/index.php/PhotoFission_with_Polarized_Photons_from_HRRL Go Back]
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| − | | |
| − | =Minimum accelerator energy to run experiment=
| |
| − | | |
| − | ==condition 1: fitting the collimator size into the hole==
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| | | | |
| | [[File:min_energy.png|800px]] | | [[File:min_energy.png|800px]] |
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| | All energy above this line is good to run experiment | | All energy above this line is good to run experiment |
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| − | ==condition 2: F1A = 286 cm==
| + | =condition 2: F1A = 286 cm= |
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| | 1) assuming the collimator diameter is <math>\Theta_C</math> | | 1) assuming the collimator diameter is <math>\Theta_C</math> |
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| | All energy above this line is good to run experiment | | All energy above this line is good to run experiment |
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| − | ==both conditions above are together==
| + | =both conditions above are together= |
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| | [[File:plot_energy_bothcondition.jpeg]] | | [[File:plot_energy_bothcondition.jpeg]] |
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condition 1: fitting the collimator size into the hole
The minimum energy of accelerator (MeV) is limited by fitting the collimator size [math]r_2[/math] into the hole R = 8.73 cm:
[math]x_2 + r_2 = R[/math]
1) Assuming the collimator diameter is [math]\Theta_C[/math]:
[math]\frac{1}{\sqrt{2}}\ (286+183)\ \tan\left(\frac{0.511}{E_{min}}\right) +
\frac{1}{2}\ (286+183)\ \tan\left(\frac{0.511}{E_{min}}\right) = 8.73 \Rightarrow E_{min} = 33.1\ MeV [/math]
2) Assuming the collimator diameter is [math]\Theta_C/2[/math]:
[math]\frac{1}{\sqrt{2}}\ (286+183)\ \tan\left(\frac{0.511}{E_{min}}\right) +
\frac{1}{2}\ (286+183)\ \tan\left(\frac{1}{2}\ \frac{0.511}{E_{min}}\right) = 8.73 \Rightarrow E_{min} = 26.3\ MeV [/math]
3) Assuming the collimator diameter is [math]\Theta_C/4[/math]:
[math]\frac{1}{\sqrt{2}}\ (286+183)\ \tan\left(\frac{0.511}{E_{min}}\right) +
\frac{1}{2}\ (286+183)\ \tan\left(\frac{1}{4}\ \frac{0.511}{E_{min}}\right) = 8.73 \Rightarrow E_{min} = 22.8\ MeV [/math]
4) for arbitrary collimator size [math]\Theta_C/2[/math]:
All energy above this line is good to run experiment
condition 2: F1A = 286 cm
1) assuming the collimator diameter is [math]\Theta_C[/math]
[math] E_{min} = 73.7\ MeV [/math]
2) assuming the collimator diameter is [math]\Theta_C/2[/math]
[math] E_{min} = 36.9\ MeV [/math]
3) assuming the collimator diameter is [math]\Theta_C/4[/math]
[math] E_{min} = 18.4\ MeV [/math]
4) for arbitrary collimator size [math]\Theta_C/m[/math]:
All energy above this line is good to run experiment
both conditions above are together
All energy above this lines is good to run experiment
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