HOME ESR EXPERIMENTS LABS etc
E121 E127 E132 E125 E143 laser_cooling_2021 E142 Ê128 E146 E0052 E0018 E0028 E0038
  proton-capture on 118Te  Not logged in ELOG logo
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  | Show | Hide all | Show all
Attachment 2: CS_theory_all.ps  45 kB  Uploaded Wed May 6 23:10:06 2020  | Show | Hide all | Show all
Attachment 3: CS_theory_90Xe.png  31 kB  Uploaded Wed May 6 23:10:18 2020  | Hide | Hide all | Show all
CS_theory_90Xe.png
Attachment 4: CS_theory_90Xe.ps  22 kB  Uploaded Wed May 6 23:10:27 2020  | Show | Hide all | Show all
Attachment 5: CS_theory_90Te.png  29 kB  Uploaded Wed May 6 23:10:36 2020  | Show | Hide all | Show all
Attachment 6: CS_theory_90Te.ps  22 kB  Uploaded Wed May 6 23:10:44 2020  | Show | Hide all | Show all
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
0. 0.6838809884595187
1. 0.7224229853331035
2. 0.8379964473235315
3. 1.030443872137824
4. 1.2995030344282912
5. 1.64480740285091
6. 2.065886722645698
7. 2.562167762440693
8. 3.1329752236222754
9. 3.7775328102535015
10. 4.494964457174398
11. 5.284295713575055
12. 6.144455279002064
13. 7.074276688431106
14. 8.072500142735743
15. 9.13777448057661
16. 10.268659287456684
17. 11.463627137414845
18. 12.721065962577109
19. 14.039281545545448
20. 15.416500129385255
21. 16.850871139764088
22. 18.340470013614155
23. 19.88330112852013
24. 21.477300826887046
25. 23.12034052881444
26. 24.81022992749396
27. 26.54472026085621
28. 28.321507653123813
29.000000000000004 30.138236519876482
30. 31.99250303019941
31. 33.88185861947699
32. 35.803813546395155
33. 37.75584048773818
34. 39.73537816460896
35. 41.73983499375132
36. 43.76659275772978
37. 45.81301028780408
38. 47.87642715343563
39.00000000000001 49.954167352475665
40. 52.043542996208096
41. 54.14185798355203
42. 56.24641165887502
43.00000000000001 58.35450244801732
44. 60.46343146728837
45. 62.5705061003606
46. 64.67304353815759
47.00000000000001 66.76837427700832
48. 68.85384557051732
49. 70.92682483078326
50. 72.98470297478
51. 75.02489771189985
52. 77.0448567688431
53. 79.0420610482222
54. 81.01402771743378
55.00000000000001 82.95831322453394
56. 84.87251623803525
57. 86.75428050772088
58.00000000000001 88.6012976437524
59. 90.4113098115192
60. 92.18211233985382
61. 93.91155624040339
62. 95.59755063611817
63.00000000000001 97.23806509697859
64. 98.8311318812456
65.00000000000001 100.37484808067475
66. 101.86737766828935
67.00000000000001 103.30695344745868
68. 104.69187890117422
69.00000000000001 106.02052994056153
70. 107.29135655180244
71. 108.5028843407837
72. 109.65371597491449
73.00000000000001 110.74253252168937
74. 111.76809468369437
75.00000000000001 112.72924392987584
76. 113.62490352300958
77. 114.454079443417
78.00000000000001 115.21586120908894
79. 115.90942259247545
80. 116.53402223430722
81. 117.08900415490466
82. 117.57379816352693
83.00000000000001 117.98792016639949
84. 118.33097237414394
85. 118.60264340941445
86.00000000000001 118.80270831562267
87. 118.93102846770623
88. 118.98755138596732
89.00000000000001 118.97231045407382
90. 118.88542454238262
91. 118.72709753780394
92. 118.49761778148746
93.00000000000001 118.1973574156676
94.00000000000001 117.8267716410606
95. 117.38639788626082
96. 116.87685489063509
97. 116.29884170226605
98. 115.65313659254451
99.00000000000001 114.9405958890601
100. 114.16215272848856
101. 113.3188157312197
102. 112.41166759952044
103. 111.44186364106933
104. 110.41063021974982
105.00000000000001 109.31926313563206
106. 108.16912593611966
107. 106.96164816028295
108. 105.69832351844508
109. 104.3807080091302
110.00000000000001 103.01041797552814
111. 101.58912810367194
112. 100.11856936456695
113. 98.60052690255144
114. 97.03683787220862
114.99999999999999 95.42938922619064
116.00000000000001 93.78011545634986
117. 92.0909962906127
118. 90.36405434806198
119. 88.60135275473215
120. 86.80499272264713
121.00000000000001 84.97711109466407
122. 83.1198778577115
123.00000000000001 81.23549362703562
124. 79.32618710409213
125. 77.39421251073887
126.00000000000001 75.44184700240568
127.00000000000003 73.47138806293053
128. 71.48515088376489
129. 69.4854657302612
130.00000000000003 67.47467529776368
131. 65.45513206022716
132. 63.429195614092336
133. 61.3992300201446
134.00000000000003 59.36760114608176
135. 57.33667401250889
136. 55.308810145072414
137. 53.28636493543301
138.00000000000003 51.27168501376619
139. 49.26710563546159
140. 47.27494808467541
141. 45.29751709737059
142. 43.337098306456504
143. 41.39595571161337
144. 39.476329176362796
145.00000000000003 37.580431954915426
146.00000000000003 35.71044825129239
147. 33.86853081318914
148. 32.056798563011185
149. 30.277334268472416
150.00000000000003 28.532182255112247
151. 26.82334616304045
152. 25.152786750176944
153. 23.522419744211014
154. 21.934113745450986
155. 20.389688182690108
156.00000000000003 18.890911324162325
157. 17.43949834560509
158. 16.037109457394024
159. 14.685348092655238
160. 13.385759158201713
161.00000000000003 12.139827350079225
162. 10.948975535442912
163. 9.81456320242211
164. 8.737884979563095
165. 7.720169226369559
166.00000000000003 6.762576696392841
166.99999999999997 5.866199274248659
168. 5.032058787863961
169. 4.261105897183412
170. 3.554219060485478
171. 2.9122035793804977
172.00000000000003 2.335790723483083
173. 1.8256369356687627
174. 1.382323118743823
175.00000000000003 1.0063540042709131
176. 0.6981576042097696
176.99999999999997 0.45808474594681375
178.00000000000003 0.28640869119862783
179. 0.18332483918885642
180. 0.14895051440953486
Attachment 9: source_vs_XrayDet_sketch.pdf  40 kB  Uploaded Wed May 6 23:11:19 2020  | Show | Hide all | Show all
ELOG V3.1.5-fc6679b