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 = 6.04200000000000000000000000000 MeV/u
Maximum number of partial waves used = 8
 
0. 1.1059830488249303
1. 1.1705845094490612
2. 1.3643054217865629
3. 1.6868954962204896
4. 2.1379379797930675
5. 2.716850250037873
6. 3.422884644800823
7. 4.255129526509179
8. 5.212510578921611
9. 6.293792333960063
10. 7.497579925812086
11. 8.82232106907979
12. 10.266308257353163
13. 11.827681178195974
14. 13.504429340155628
15. 15.294394907046415
16. 17.195275734402518
17. 19.20462860266338
18. 21.3198726413356
19. 23.538292938067528
20. 25.85704432629026
21. 28.27315534480606
22. 30.783532362453606
23. 33.38496386074608
24. 36.074124867163256
25. 38.8475815315786
26. 41.70179583812944
27. 44.633130444674165
28. 47.63785364184573
29.000000000000004 50.71214442358309
30. 53.8520976609279
31. 57.05372937078462
32. 60.31298207127901
33. 63.62573021530726
34. 66.98778569383447
35. 70.39490340049566
36. 73.84278684905499
37. 77.32709383530768
38. 80.84344213504548
39.00000000000001 84.38741522976329
40. 87.95456805185732
41. 91.54043274114993
42. 95.14052440467529
43.00000000000001 98.7503468717754
44. 102.36539843667731
45. 105.9811775808656
46. 109.59318866770427
47.00000000000001 113.19694760192732
48. 116.78798744678073
49. 120.3618639917743
50. 123.91416126418622
51. 127.44049697765236
52. 130.9365279113667
53. 134.39795521362424
54. 137.82052962363557
55.00000000000001 141.20005660575865
56. 144.53240139049885
57. 147.81349391684333
58.00000000000001 151.03933367071133
59. 154.20599441451554
60. 157.3096288030467
61. 160.346472881107
62. 163.31285045853312
63.00000000000001 166.20517735846312
64. 169.01996553490915
65.00000000000001 171.75382705591198
66. 174.40347794875575
67.00000000000001 176.96574190392633
68. 179.4375538346996
69.00000000000001 181.81596328944116
70. 184.09813771389628
71. 186.28136556093855
72. 188.36305924543606
73.00000000000001 190.34075794207644
74. 192.21213022417638
75.00000000000001 193.97497654167643
76. 195.6272315367003
77. 197.166966195225
78.00000000000001 198.5923898335825
79. 199.9018519186718
80. 201.09384372092964
81. 202.16699979926182
82. 203.1200993172981
83.00000000000001 203.95206719048417
84. 204.66197506367757
85. 205.24904211906352
86.00000000000001 205.71263571435173
87. 206.05227185136252
88. 206.2676154752499
89.00000000000001 206.3584806047541
90. 206.32483029401018
91. 206.16677642658257
92. 205.88457934252642
93.00000000000001 205.4786472994136
94.00000000000001 204.94953576839728
95. 204.29794656651484
96. 203.52472682657006
97. 202.63086780605636
98. 201.61750353672136
99.00000000000001 200.48590931649807
100. 199.23750004565898
101. 197.8738284091762
102. 196.39658290740232
103. 194.80758573731097
104. 193.10879052666732
105.00000000000001 191.3022799236243
106. 189.3902630443666
107. 187.3750727815542
108. 185.25916297644346
109. 183.0451054576862
110.00000000000001 180.7355869499388
111. 178.33340585553586
112. 175.8414689126046
113. 173.26278773312825
114. 170.6004752245808
114.99999999999999 167.8577418988831
116.00000000000001 165.03789207254906
117. 162.1443199620105
118. 159.18050567822488
119. 156.15001112478888
120. 153.05647580389206
121.00000000000001 149.903612534556
122. 146.6952030877137
123.00000000000001 143.43509374278906
124. 140.12719077053893
125. 136.77545584701824
126.00000000000001 133.38390140362577
127.00000000000003 129.95658591827743
128. 126.49760915284291
129. 123.01110734206114
130.00000000000003 119.50124833923267
131. 115.97222672405493
132. 112.42825887803583
133. 108.87357803298467
134.00000000000003 105.31242929813425
135. 101.74906467149661
136. 98.18773804110306
137. 94.6327001818155
138.00000000000003 91.0881937534257
139. 87.55844830578583
140. 84.04767529673249
141. 80.56006312857376
142. 77.09977220891855
143. 73.67093004161656
144. 70.27762635357502
145.00000000000003 66.92390826319266
146.00000000000003 63.61377549613141
147. 60.35117565411021
148. 57.1399995423664
149. 53.98407656138078
150.00000000000003 50.887170168406506
151. 47.85297341428077
152. 44.885104560922656
153. 41.987102784848155
154. 39.16242397193823
155. 36.41443660861304
156.00000000000003 33.74641777445342
157. 31.161549241208746
158. 28.662913683012476
159. 26.253491002502525
160. 23.93615477741538
161.00000000000003 21.71366883208299
162. 19.588683938120205
163. 17.563734648437823
164. 15.641236268561688
165. 13.823481969071878
166.00000000000003 12.112640042808831
166.99999999999997 10.510751310318
168. 9.01972667682475
169. 7.641344843839871
170. 6.377250178315511
171. 5.2289507420627155
172.00000000000003 4.197816483953261
173. 3.285077597214939
174. 2.491823043926343
175.00000000000003 1.8189992486040147
176. 1.2674089625583536
176.99999999999997 0.83771030048009
178.00000000000003 0.530415950493647
179. 0.3458925586976838
180. 0.28436028898352445