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 = 54
Charge of the target atom Zt = 1
Projectile energy Tp = 7.04900000000000000000000000000 MeV/u
Maximum number of partial waves used = 8
 
0. 1.2188177109258354
1. 1.278471868213512
2. 1.4573561826377746
3. 1.755236297068105
4. 2.1717220000099693
5. 2.7062678003870118
6. 3.358173730633336
7. 4.126586376498984
8. 5.010500131527964
9. 6.008758673724422
10. 7.1200566614941385
11. 8.342941645525626
12. 9.675816192866327
13. 11.116940219048102
14. 12.664433523735411
15. 14.316278524996479
16. 16.07032318694543
17. 17.924284135163226
18. 19.87574995398717
19. 21.922184659453773
20. 24.060931341397055
21. 26.289215967938564
22. 28.60415134536191
23. 31.002741226136834
24. 33.48188455765655
25. 36.03837986406335
26. 38.66892975337887
27. 41.370145542007556
28. 44.1385519885634
29.000000000000004 46.970592128866635
30. 49.862632203875606
31. 52.81096667226053
32. 55.81182329928007
33. 58.86136831360672
34. 61.95571162373897
35. 65.09091208565872
36. 68.2629828134243
37. 71.46789652444522
38. 74.70159091125002
39.00000000000001 77.95997403164789
40. 81.238929709283
41. 84.53432293669857
42. 87.84200527315627
43.00000000000001 91.15782022959816
44. 94.4776086332971
45. 97.79721396490213
46. 101.11248766076663
47.00000000000001 104.41929437362921
48. 107.71351718491171
49. 110.99106276210144
50. 114.24786645488871
51. 117.47989732394566
52. 120.68316309644969
53. 123.85371504267135
54. 126.98765276817493
55.00000000000001 130.0811289163991
56. 133.1303537766143
57. 136.13159979247695
58.00000000000001 139.08120596662616
59. 141.9755821569921
60. 144.81121326070925
61. 147.58466328174143
62. 150.2925792785512
63.00000000000001 152.93169518835086
64. 155.4988355246892
65.00000000000001 157.9909189453289
66. 160.40496168757622
67.00000000000001 162.73808086841885
68. 164.98749764702174
69.00000000000001 167.15054024732217
70. 169.22464683864368
71. 171.20736827243576
72. 173.09637067341214
73.00000000000001 174.8894378835396
74. 176.58447375748733
75.00000000000001 178.17950430831337
76. 179.67267970231893
77. 181.06227610215524
78.00000000000001 182.34669735741542
79. 183.52447654208868
80. 184.5942773383957
81. 185.5548952666606
82. 186.4052587610087
83.00000000000001 187.14443009080932
84. 187.77160612791133
85. 188.28611895984264
86.00000000000001 188.687436349266
87. 188.97516204010392
88. 189.14903591086127
89.00000000000001 189.20893397578686
90. 189.15486823463294
91. 188.98698637187567
92. 188.70557130637232
93.00000000000001 188.3110405925406
94.00000000000001 187.80394567424474
95. 187.18497099268782
96. 186.45493294970518
97. 185.61477872796422
98. 184.66558496967582
99.00000000000001 183.6085563155263
100. 182.44502380564055
101. 181.17644314449237
102. 179.80439283177637
103. 178.33057216136146
104. 176.7567990905477
105.00000000000001 175.085007981952
106. 173.31724722044834
107. 171.4556767076973
108. 169.50256523689734
109. 167.46028775049814
110.00000000000001 165.33132248371973
111. 163.11824799682356
112. 160.82374009918797
113. 158.4505686683433
114. 156.0015943672253
114.99999999999999 153.47976526301093
116.00000000000001 150.88811335099805
117. 148.22975098710003
118. 145.5078672326172
119. 142.725724115057
120. 139.8866528088619
121.00000000000001 136.99404974000825
122. 134.05137261852877
123.00000000000001 131.06213640310358
124. 128.0299092019544
125. 124.95830811436285
126.00000000000001 121.85099501721349
127.00000000000003 118.7116723010482
128. 115.54407856018597
129. 112.35198424154208
130.00000000000003 109.13918725684333
131. 105.90950856300094
132. 102.66678771546286
133. 99.41487839941789
134.00000000000003 96.15764394377857
135. 92.8989528229059
136. 89.64267415108442
137. 86.3926731747853
138.00000000000003 83.15280676778272
139. 79.92691893420937
140. 76.71883632465385
141. 73.53236377040916
142. 70.37127984098917
143. 67.23933243001787
144. 64.14023437459531
145.00000000000003 61.077659113223454
146.00000000000003 58.05523638735112
147. 55.07654799156941
148. 52.14512357745419
149. 49.26443651600691
150.00000000000003 46.43789982359462
151. 43.66886215623952
152. 40.960603877038
153. 38.31633320142653
154. 35.739182424929524
155. 33.23220423794769
156.00000000000003 30.798368132051035
157. 28.44055690214702
158. 26.16156324879374
159. 23.964086484816164
160. 21.850729350271603
161.00000000000003 19.823994939687914
162. 17.88628374537359
163. 16.03989082046073
164. 14.287003065211067
165. 12.629696639965104
166.00000000000003 11.069934507966204
166.99999999999997 9.609564111139262
168. 8.250315181741737
169. 6.993797692640494
170. 5.841499948798817
171. 4.794786822387042
172.00000000000003 3.8548981337485957
173. 3.022947180277144
174. 2.299919415068962
175.00000000000003 1.6866712770370351
176. 1.1839291739707618
176.99999999999997 0.7922886198415147
178.00000000000003 0.5122135274536522
179. 0.34403565734385344
180. 0.28795422363490114