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Message ID: 277     Entry time: Thu Apr 23 19:09:58 2020
Author: Laszlo 
Category: Calibration 
Subject: theoretical K-REC cross sections  
Year:  
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]128,44441,96745,550
weighted cs_Te [barn/sr]118,61638,91841,740


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 [%]0,002370,000760,00002
sr [4pi]0,02980,00960,00030


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]3,82470,40120,0137
weighted cs_Te [barn]3,53210,37200,0125
Attachment 1: CS_theory_all.png  55 kB  Uploaded Wed May 6 23:09:55 2020  | Hide | Hide all | Show all
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Attachment 6: CS_theory_90Te.ps  22 kB  Uploaded Wed May 6 23:10:44 2020  | Hide | Hide all | Show all
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Attachment 7: DCS_Z_54_Tp_10MeV.dat  4 kB  Uploaded Wed May 6 23:10:52 2020  | Show | Hide all | Show all
Attachment 8: DCS_Z_52_Tp_10MeV.dat  4 kB  Uploaded Wed May 6 23:11:02 2020  | Hide | Hide all | Show all 
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Attachment 9: source_vs_XrayDet_sketch.pdf  40 kB  Uploaded Wed May 6 23:11:19 2020  | Hide | Hide all | Show all
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