Minimum accelerator energy to run experiment: Difference between revisions
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All energy | All energy under this linse is good to run experiment for both conditions above | ||
[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] | ||
Revision as of 19:12, 14 June 2010
condition 1: fitting the collimator size into the hole
The minimum energy of accelerator (MeV) is limited by fitting the collimator size [math]\displaystyle{ r_2 }[/math] into the hole R = 8.73 cm:
[math]\displaystyle{ x_2 + r_2 = R }[/math]
1) Assuming the collimator diameter is [math]\displaystyle{ \Theta_C }[/math]:
[math]\displaystyle{ \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]\displaystyle{ \Theta_C/2 }[/math]:
[math]\displaystyle{ \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]\displaystyle{ \Theta_C/4 }[/math]:
[math]\displaystyle{ \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]\displaystyle{ \Theta_C/2 }[/math]:
All energy under this line is good to run experiment for condition above
condition 2: F1A = 286 cm
1) assuming the collimator diameter is [math]\displaystyle{ \Theta_C }[/math]
[math]\displaystyle{ E_{min} = 73.7\ MeV }[/math]
2) assuming the collimator diameter is [math]\displaystyle{ \Theta_C/2 }[/math]
[math]\displaystyle{ E_{min} = 36.9\ MeV }[/math]
3) assuming the collimator diameter is [math]\displaystyle{ \Theta_C/4 }[/math]
[math]\displaystyle{ E_{min} = 18.4\ MeV }[/math]
4) for arbitrary collimator size [math]\displaystyle{ \Theta_C/m }[/math]:
All energy under this line is good to run experiment for condition abov
both conditions above are together
All energy under this linse is good to run experiment for both conditions above