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Message ID: 277
Entry time: Thu Apr 23 19:09:58 2020
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Author: |
Laszlo |
Category: |
Calibration |
Subject: |
theoretical K-REC cross sections |
Year: |
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Find attached Andrey Surzhykov's calculations for the theta angle in respect to the beam direction (in lab. frame) vs. cross section for 124Xe54+ and 118Te52+.
The calculations made for collision with two H atoms with the accuracy of 1%. There are no molecular corrections done, but these corrections are within 1%.
The photon-emission is symmetrical in the azimuthal phi angle, but asymetric in theta. The K-REC cross section is given for each integer theta angle. The problem is that our 90° and 145° xray detectors cover more integer theta-angles --> The disk shaped entrance window of the Xray-detectors is sliced for each covered theta angles, and the CS values are averaged together with the weights of the area of the corresponding slice. The 35° det had a non-disk shaped slit collimator! Was it aligned vertical or horizontal or random? I assumed that it had a vertical position --> only cs at theta=35° needs to taken into account
| 90° | 145° | 35°
| weighted cs_Xe [barn/sr] | 128,444 | 41,967 | 45,550
| weighted cs_Te [barn/sr] | 118,616 | 38,918 | 41,740
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For the steradian values I calculated the area of the entrance window of the Xray detectors and I divided it with the area of the sphere with radius = distance between source and det. If r=radius of the entrance window, D=distance between source and det.: covered steradian = r^2*pi/(4*pi*D^2) [%], covered steradian = 4Pi*[r^2*pi/(4*pi*D^2)] [4pi]. This is valid for the 90° and 145° Xray detectors. The area of 35° det. was calculated individually.
| 90° | 145° | 35°
| sr [%] | 0,00237 | 0,00076 | 0,00002
| sr [4pi] | 0,0298 | 0,0096 | 0,00030
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I converted barn/sr to barn in the following way: steradian[4pi]*weigthed_cs [barn/sr] = weigthed_cs [barn]. I am not 100% sure if I need here the steradian in [4pi] or in [%].
| 90° | 145° | 35°
| weighted cs_Xe [barn] | 3,8247 | 0,4012 | 0,0137
| weighted cs_Te [barn] | 3,5321 | 0,3720 | 0,0125
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