Attached are the theory K-REC cross sections as calculated by Andrey Surzhykov (August 2021).

They are done for 118Te52+ on H2 at 7.049 and 6.042 MeV/u as well as for 124Xe54+ on H2 at 7.049 MeV/u.


first column - photon angle (deg), second column - cross section (barn/sr). The results are given already in the laboratory frame.

Comment of Andrey on uncertainty:
Important question about theoretical model and, hence, accuracy of calculations. I used slightly improved "impulse approximation" that takes into account momentum and energy distribution of target electron (in initial state). By playing with the models for the Compton profile of target electron, I estimate the accuracy of calculations as 1 %. To be fair, it is rather conservative estimate. I suspect that for large emission angle (around 90 deg) accuracy is even better. But let us stay with 1 %. 

K-REC angle-differential cross section (barn/sr) in the laboratory frame
Charge of the projectile ion Z = 52
Charge of the target atom Zt = 1
Projectile energy Tp = 7.04900000000000000000000000000 MeV/u
Maximum number of partial waves used = 8
 
0. 0.9517827043684732
1. 1.0066452310231193
2. 1.1711617126669283
3. 1.4451189567110523
4. 1.828161983217117
5. 2.319794535777521
6. 2.919379795380727
7. 3.6261412958994796
8. 4.4391640394603895
9. 5.357395809574483
10. 6.379648679541435
11. 7.50460071327827
12. 8.730797855372112
13. 10.056656006812414
14. 11.480463282529886
15. 13.000382446547578
16. 14.61445352024514
17. 16.320596558942785
18. 18.116614591734237
19. 20.00019671923322
20. 21.968921363650026
21. 24.02025966538133
22. 26.15157902008221
23. 28.3601467499869
24. 30.643133903065568
25. 32.99761917343486
26. 35.42059293629655
27. 37.90896139054262
28. 40.4595508020561
29.000000000000004 43.069111840638186
30. 45.73432400341395
31. 48.45180011750791
32. 51.218090914733224
33. 54.0296896710139
34. 56.883036903242385
35. 59.77452511628241
36. 62.70050359284277
37. 65.65728321898483
38. 68.64114133807054
39.00000000000001 71.64832662602382
40. 74.6750639808498
41. 77.71755941944612
42. 80.7720049748392
43.00000000000001 83.83458358708674
44. 86.90147398121269
45. 89.96885552566536
46. 93.03291306493358
47.00000000000001 96.08984172009822
48. 99.13585165125326
49. 102.16717277588967
50. 105.18005943750022
51. 108.17079501883593
52. 111.13569649441845
53. 114.07111891708914
54. 116.97345983355952
55.00000000000001 119.83916362410676
56. 122.66472576174371
57. 125.44669698637684
58.00000000000001 128.1816873896506
59. 130.86637040635904
60. 133.49748670849502
61. 136.07184799817944
62. 138.58634069590647
63.00000000000001 141.03792952070884
64. 143.42366095903168
65.00000000000001 145.74066661927378
66. 147.98616646912959
67.00000000000001 150.15747195303302
68. 152.25198898717235
69.00000000000001 154.2672208297082
70. 156.20077082398603
71. 158.05034501269628
72. 159.81375462108485
73.00000000000001 161.4889184074721
74. 163.0738648794857
75.00000000000001 164.56673437455828
76. 165.9657810033841
77. 167.26937445516904
78.00000000000001 168.47600166364478
79. 169.58426833295331
80. 170.5929003226392
81. 171.5007448911178
82. 172.30677179711333
83.00000000000001 173.01007425868588
84. 173.6098697695902
85. 174.105500772829
86.00000000000001 174.49643519138178
87. 174.78226681620885
88. 174.9627155517448
89.00000000000001 175.03762751920837
90. 175.00697501817163
91. 174.87085634693935
92. 174.62949548240172
93.00000000000001 174.28324162013348
94.00000000000001 173.83256857561886
95. 173.2780740475935
96. 172.62047874459836
97. 171.8606253759504
98. 170.99947750844117
99.00000000000001 170.03811829018065
100. 168.97774904311123
101. 167.8196877258231
102. 166.56536726840946
103. 165.21633378120697
104. 163.77424463937433
105.00000000000001 162.24086644536905
106. 160.61807287148952
107. 158.90784238475976
108. 157.11225585653915
109. 155.23349405934877
110.00000000000001 153.27383505351617
111. 151.23565146634337
112. 149.1214076666166
113. 146.933656837378
114. 144.67503794999067
114.99999999999999 142.34827264263237
116.00000000000001 139.95616200645725
117. 137.5015832827731
118. 134.98748647467863
119. 132.4168908767123
120. 129.79288152615837
121.00000000000001 127.11860557975686
122. 124.39726861965754
123.00000000000001 121.63213089254982
124. 118.82650348599213
125. 115.98374444604976
126.00000000000001 113.10725484043212
127.00000000000003 110.20047477140473
128. 107.26687934282026
129. 104.30997458569307
130.00000000000003 101.33329334680292
131. 98.34039114488067
132. 95.33484199898601
133. 92.32023423374181
134.00000000000003 89.30016626613966
135. 86.27824237867115
136. 83.25806848358295
137. 80.24324788308304
138.00000000000003 77.23737703035452
139. 74.24404129625275
140. 71.26681074658053
141. 68.30923593484178
142. 65.37484371538308
143. 62.46713308182212
144. 59.589571035660434
145.00000000000003 56.74558848996043
146.00000000000003 53.938576212942536
147. 51.171880816333314
148. 48.448800793261626
149. 45.77258261045728
150.00000000000003 43.14641685945814
151. 40.57343447148395
152. 38.056703000566955
153. 35.599222979470866
154. 33.20392435284915
155. 30.87366299202191
156.00000000000003 28.611217295658832
157. 26.419284880566885
158. 24.30047936668375
159. 22.257327260271655
160. 20.2922649391984
161.00000000000003 18.407635744074394
162. 16.605687178895447
163. 14.888568224708305
164. 13.258326769689953
165. 11.716907158887912
166.00000000000003 10.266147866726094
166.99999999999997 8.907779295234612
168. 7.64342170080646
169. 6.474583252126237
170. 5.402658221753238
171. 4.428925313677599
172.00000000000003 3.554546128993118
173. 2.7805637716616936
174. 2.1079015961596985
175.00000000000003 1.537362098626752
176. 1.0696259529418157
176.99999999999997 0.7052511929759611
178.00000000000003 0.4446725420776998
179. 0.28820089065853977
180. 0.23602292255652846