Difference between revisions of "Tagger Hall"

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(Radius of the exit electron beam pipe)
(Radius of the exit electron beam pipe)
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The energy dumped by the radiator electrons into the hall is
 
The energy dumped by the radiator electrons into the hall is
 
   
 
   
W=W<sub>B</sub>&middot;R&middot;&int;dk&middot;(E<sub>o</sub>-k)/k, where E<sub>o</sub> and k are the energies of the incoming electron and of the outcoming photon. The integral limits are E<sub>o</sub>&middot;(r/(L+r)), E<sub>o</sub>
+
W=W<sub>B</sub>/E<sub>o</sub>&middot;R&middot;&int;dk&middot;(E<sub>o</sub>&minus;k)/k, where E<sub>o</sub> and k are the energies of the incoming electron and of the outcoming photon. The integral limits are E<sub>o</sub>&middot;(r/(L+r)), E<sub>o</sub>
  
W=W<sub>B</sub>&middot;R&middot;(ln((L+r)/r)-1+r/(L+r))&asymp;W<sub>B</sub>&middot;R&middot;(ln(L/r)-1+r/L)
+
W=W<sub>B</sub>&middot;R&middot;(ln((L+r)/r)&minus;1+r/(L+r))&asymp;W<sub>B</sub>&middot;R&middot;(ln(L/r)&minus;1+r/L)
 
<table>
 
<table>
 
   <tr>
 
   <tr>

Revision as of 18:01, 16 September 2014

Shielding Basis for Hall D Complex (old note before shielding optimization)

Neutron background estimates in the hall

Radius of the exit electron beam pipe

Do we need a wider beam pipe transporting electrons into the dump? By Sept 2014 a 6 imch diameter pipe brought the beam to about 2m in front of the dump wall. It ends with a thick flange connected to a 1.5 inch pipe transporting the beam through the wall. There is a girder with a valve between the flange and the wall. The flange became a hot spot after the first beam tune in May 2014. Would it help to install a wider pipe from the flange through the wall?

  • The deflection of the electron beam from the photon beam in this area is about L=400cm
  • The electrons deflected not more than r cm from the trajectory of the non-radiated beam go into the beam dump. The others dump their energy into the hall.
  • The full power of the photons is WB·R, where WB is the power of the electron beam and R is the radiator thickness in R.L.

The energy dumped by the radiator electrons into the hall is

W=WB/Eo·R·∫dk·(Eo−k)/k, where Eo and k are the energies of the incoming electron and of the outcoming photon. The integral limits are Eo·(r/(L+r)), Eo

W=WB·R·(ln((L+r)/r)−1+r/(L+r))≈WB·R·(ln(L/r)−1+r/L)

r, cm    W/(WB·R)
1 5.0
2 4.3
3 3.9
4 3.6
5 3.4
6 3.2
10 2.7

The increase of the exit pipe radius from 2cm to 4cm would reduce the power dumped in the hall by the radiated electrons by about 15%.