Interpolation of the invariant cross section for protons as a function of 1/sqrt(s) for fixed plab and Thetalab. Thetalab = 25 degrees plab 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 0.02 350. 255.0 190. 148. 115. 89. 70. 56. 44.0 0.04 350. 255.0 190. 148. 115. 89. 70. 56. 44.0 0.06 352. 255.0 190. 148. 115. 89. 70. 56. 44.0 0.08 358. 257.0 191. 148. 115. 89. 70. 56. 44.0 0.10 360. 260.0 194. 148. 115. 89. 70. 56. 44.0 0.12 363. 263.0 198. 148.5 115. 89.5 70. 56.0 44.3 0.14 372. 270.0 199.5 149.5 115. 90. 70. 56.0 44.7 0.16 380. 273.0 200.5 150.5 115. 90.5 70.5 56.3 45.5 0.18 392. 279.0 203. 152. 116. 91.5 71.5 57.2 46.0 0.20 405. 285.0 207. 154. 118. 93. 72.5 58.0 47.0 0.22 420. 293.0 210.5 157. 119. 94. 73. 59.0 48.0 0.24 440. 301.0 214. 160. 120. 95. 74.5 60.0 49.0 0.26 460. 317.0 220. 164. 123. 97.5 75.5 62.0 51.0 0.28 486. 330.0 225. 170. 127. 99.0 77.5 64.0 52.5 0.30 510. 343.0 235. 175. 132. 102. 80. 66.0 54.8 0.32 542. 362.0 248. 182. 139. 106. 83. 69.0 57.0 0.34 575. 386.0 262. 193. 145. 111. 87. 71.5 60.0 0.36 615. 408.0 280. 206. 153. 118. 92. 75.0 63.0 0.38 652. 435.0 300. 220. 161. 124. 97.5 80.0 66.5 0.40 700. 460.0 320. 232. 170. 130. 102. 85.0 70.0 Thetalab = 35 degrees plab 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 0.02 290. 210. 153. 113. 85. 63.5 46. 33. 24.0 0.04 290. 210. 153. 113. 85. 63.5 46. 33. 24.0 0.06 292. 210. 153. 113. 85. 63.5 46. 33. 24.0 0.08 300. 214. 154. 113. 85. 63.5 46. 33. 24.2 0.10 308. 218. 156. 113. 85. 63.5 46. 33. 24.5 0.12 319. 221. 158. 114. 85. 63.5 46. 33. 24.8 0.14 330. 225. 160. 115. 85. 63.5 46. 33.5 25. 0.16 342. 231. 162. 117. 85. 63.5 46. 34. 25.3 0.18 360. 240. 167. 119. 86. 64. 46.3 34.2 25.8 0.20 380. 250. 171. 121. 87. 65. 47. 35. 26. 0.22 400. 260. 178. 125. 89. 66. 48. 36. 26.9 0.24 420. 275. 184. 129. 91. 67. 49. 36.5 27.4 0.26 440. 290. 192. 134. 94. 69.5 50.0 37.5 28.0 0.28 460. 302. 200. 139. 96. 71. 51.0 38.0 28.7 0.30 480. 313. 206. 142. 98. 72.5 52.5 39. 29.4 0.32 500. 323. 212. 146. 100.5 75.0 53.5 40. 30.2 0.34 520. 338. 220. 149. 102. 76. 55.0 40.8 30.8 0.36 545. 348. 225. 151. 105. 76.5 55.5 41.7 31.6 0.38 565. 360. 230. 153. 107.5 77.0 56.0 42.0 32.0 0.40 590. 372. 234. 155. 110. 78. 57.0 42.3 32.2 Thetalab = 45 degrees plab 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 0.02 255. 183. 124. 84. 57. 40. 26.6 16.5 10.9 0.04 255. 183. 124. 84. 57. 40. 26.6 16.5 10.9 0.06 257. 183. 124. 84. 57. 40. 26.6 16.5 10.9 0.08 260. 185. 125. 84.5 57. 40. 26.6 16.5 10.9 0.10 270. 189. 126. 85. 57. 40. 26.6 16.7 10.9 0.12 284. 191. 127. 85.5 57.2 40. 26.8 16.9 11.0 0.14 300. 198. 130. 87. 57.5 40. 26.9 17.2 11.05 0.16 320. 206. 133. 88. 58.5 40.3 27.1 17.6 11.15 0.18 340. 217. 138. 90. 60.0 41. 27.2 18.0 11.4 0.20 360. 230. 143. 91. 61.0 41.3 27.5 18.3 11.75 0.22 380. 240. 149. 94. 62.5 42. 27.8 18.6 11.95 0.24 398. 250. 153. 97. 64.5 42.3 28.0 19. 12.05 0.26 412. 260. 160. 100. 66.5 44.0 29.0 19.4 12.6 0.28 426. 271. 166. 103. 68.0 45.3 29.5 19.9 12.95 0.30 440. 281. 171. 107. 70.0 46.6 30.2 20.3 13.05 0.32 452. 291. 178. 112. 72.0 48.2 31.0 20.9 13.3 0.34 466. 300. 183. 118. 75.0 50.3 32.0 21.3 13.7 0.36 480. 309. 190. 123. 77.5 52.5 32.9 22.0 14.0 0.38 505. 320. 200. 130. 80.2 54.5 33.4 22.3 14.2 0.40 545. 333. 210. 139. 84.0 56.0 34.0 22.8 14.4 0.42 600. 375. 231. 150. 88.0 57.0 0.44 715. 460. 284. 173. 93.0 0.45 830. 530. 336. 192. 93.0 0.46 945. 650. 392. 202. 86.5 0.471090. 765. 420. 190. 65.0 0.481300. 850. 390. 135. 34.4 0.491280. 750. 285. 65. 7.0 0.501100. 500. 130. 10. 0.45 Thetalab = 55 degrees plab 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 0.02 237. 158. 103. 65. 40. 25. 14.8 8.5 5.0 0.04 237. 158. 103. 65. 40. 25. 14.8 8.5 5.0 0.06 238. 158. 103. 65. 40. 25. 14.8 8.5 5.0 0.08 245. 160. 104. 65. 40. 25. 14.8 8.5 5.0 0.10 256. 163. 105. 65. 40. 25. 14.8 8.5 5.0 0.12 270. 169. 106. 65.1 40. 25. 14.85 8.5 5.0 0.14 282. 173. 107. 66. 40. 25.2 14.9 8.55 5.0 0.16 300. 180. 109. 67.5 40.3 25.5 14.95 8.65 5.03 0.18 320. 188. 111. 68.5 41. 25.8 15.0 8.67 5.06 0.20 340. 196. 114. 70. 41.6 26.0 15.05 8.9 5.1 0.22 359. 206. 118. 71.5 42.1 26.0 15.1 9. 5.15 0.24 373. 215. 121. 73. 43. 26.2 15.15 9.15 5.2 0.26 389. 225. 126. 76. 44.4 26.8 15.4 9.3 5.25 0.28 402. 236. 131. 79. 46. 27.1 15.6 9.35 5.3 0.30 419. 245. 138. 81.0 48.0 27.9 15.8 9.40 5.35 0.32 435. 254. 142. 84.6 50.0 28.2 16.0 9.50 5.4 0.34 459. 265. 150. 87.5 52.0 29.0 16.2 9.60 5.45 0.36 480. 278. 156. 90.2 54.5 30.3 16.5 9.70 5.5 0.38 520. 290. 164. 95. 57.0 31.3 17.0 9.80 5.51 0.40 560. 310. 178. 99. 59.5 31.8 17. 9.70 5.4 0.42 620. 340. 200. 103. 60. 31.3 15.8 7.90 0.44 700. 393. 232. 109. 56.0 27.2 14.0 0.45 760. 433. 250. 108. 50.0 0.46 825. 490. 260. 101. 42.0 0.47 900. 540. 260. 90. 30.0 0.48 950. 550. 225. 65. 15.0 0.49 910. 510. 152. 27. 1.8 0.50 790. 300. 42. 2.5 0.1 Thetalab = 67 degrees plab 0.4 0.5 0.6 0.7 0.8 0.9 1.0 0.02 218. 132. 78. 43.8 23.0 12.0 6.4 0.04 220. 132. 78. 43.8 23.0 12.0 6.4 0.06 223. 132. 78. 43.8 23.0 12.0 6.3 0.08 230. 134. 78. 43.8 22.9 12.0 6.2 0.10 240. 139. 78.0 43.7 22.7 11.9 6.1 0.12 251. 141. 79.0 43.5 22.5 11.8 6.05 0.14 268. 148. 80.0 43.2 22.3 11.6 6.0 0.16 280. 151. 81.0 43.0 22.1 11.5 5.95 0.18 296. 159. 82. 43.0 22.0 11.3 5.85 0.20 310. 165. 84.0 43.0 22.0 11.1 5.75 0.22 324. 171. 85.5 43.0 22.0 11.05 5.6 0.24 340. 179. 89.0 43.3 22.0 11.0 5.45 0.26 359. 186. 92.0 44. 22.0 11.0 5.25 0.28 372. 194. 95. 44.4 22.0 10.8 5.15 0.30 390. 200. 97.5 45.3 22.0 10.6 5.00 0.32 405. 210. 100.0 46.1 22.0 10.4 4.82 0.34 427. 218. 103.0 47.3 22.0 10.2 4.70 0.36 450. 226. 106.0 48.3 22.0 10.0 4.57 0.38 480. 235. 109.5 50.0 22.0 9.8 4.40 0.40 510 244. 111.5 50.8 22.0 9.45 4.20 0.42 542. 252. 117.0 50.8 21.1 8.80 0.44 575. 260. 119.5 49.0 19.2 0.45 585. 265. 120.6 46.2 16.3 0.46 595. 270. 120.0 40.0 13.0 0.47 600. 272. 110.0 31.8 8.9 0.48 595. 269. 89. 20.0 3.4 0.49 570. 239. 52. 5.7 0.5 0.50 525. 150. 11. 0.75 0.01 Thetalab = 82 degrees plab 0.4 0.5 0.6 0.7 0.8 0.9 1.0 0.02 192. 96. 48. 22.0 9.8 4.4 2.0 0.04 192. 96. 48. 22.0 9.8 4.4 2.0 0.06 195. 96. 48. 21.9 9.6 4.36 2.0 0.08 200. 96. 48. 21.6 9.5 4.26 1.96 0.10 205. 98. 48.0 21.4 9.4 4.20 1.90 0.12 210. 99.5 48.0 21.2 9.3 4.18 1.82 0.14 220. 100.5 48.0 21.0 9.2 4.07 1.75 0.16 230. 102. 48.0 20.7 9.1 4.00 1.67 0.18 240. 106. 48.0 20.1 9.0 3.82 1.57 0.20 250. 109. 48.0 19.6 8.8 3.65 1.47 0.22 261. 110.5 47.5 19.0 8.4 3.43 1.34 0.24 274. 113.0 46.5 18.1 7.9 3.20 1.23 0.26 290. 118. 46.0 17.8 7.4 2.93 1.11 0.28 306. 121. 46.0 17.0 6.9 2.68 0.96 0.30 323. 125. 46.0 16.4 6.3 2.41 0.80 0.32 345. 130. 46.4 16.0 5.8 2.19 0.64 0.34 368. 135. 47.5 15.6 5.3 1.94 0.36 392. 141. 49.0 15.1 4.87 1.70 0.38 418. 148. 51.0 14.5 4.40 1.44 0.40 440. 150. 53.0 13.7 3.90 1.21 0.42 443. 150. 53.0 13.0 3.34 0.44 421. 149. 50.0 11.7 2.71 0.45 400. 143. 47.4 11.0 2.38 0.46 362. 135. 43.0 9.90 2.00 0.47 320. 120. 35.0 8.10 1.40 0.48 272. 94. 20.3 4.20 0.45 0.49 224. 64. 10.0 1.10 0.01 0.50 169. 28. 2.0 0.06 Thetalab = 97 degrees plab 0.4 0.5 0.6 0.7 0.8 0.9 1.0 0.02 150. 68. 28. 10.8 4.1 1.6 0.64 0.04 150. 68. 28. 10.8 4.1 1.6 0.64 0.06 150. 68. 28. 10.7 4.08 1.6 0.63 0.08 151. 68. 28. 10.6 4.02 1.59 0.625 0.10 156. 68. 27.8 10.4 4.01 1.58 0.615 0.12 158. 68. 27.3 10.3 4.00 1.57 0.605 0.14 160. 68. 27.0 10.15 3.95 1.55 0.58 0.16 165. 68. 26.8 10.05 3.90 1.505 0.54 0.18 172. 68. 26.6 9.95 3.80 1.45 0.51 0.20 179. 68. 26.1 9.70 3.65 1.37 0.478 0.22 188. 67.8 25.1 9.05 3.41 1.28 0.44 0.24 195. 67.5 24.1 8.55 3.10 1.17 0.40 0.26 203. 66.0 23.3 8.00 2.83 1.06 0.362 0.28 210. 66.0 22.3 7.40 2.53 0.95 0.327 0.30 220. 65.5 21.5 6.80 2.27 0.84 0.288 0.32 230. 67.2 20.5 6.25 2.00 0.73 0.243 0.34 241. 68.0 19.5 5.75 1.77 0.625 0.192 0.36 252. 69.5 18.7 5.25 1.53 0.525 0.140 0.38 260. 70.0 17.7 4.80 1.29 0.422 0.090 0.40 263. 69.0 16.5 4.27 1.04 0.42 258. 65.5 15.0 3.73 0.80 0.44 239. 61.5 13.9 3.18 0.56 0.45 220. 59.0 13.0 2.87 0.45 0.46 195. 54.0 12.0 2.50 0.325 0.47 164. 46.5 10.5 1.95 0.21 0.48 125. 32.0 6.9 0.85 0.05 0.49 84. 15.4 2.1 0.10 0.50 38. 4.4 0.34 ` Thetalab = 112 degrees plab 0.4 0.5 0.6 0.7 0.8 0.9 1.0 0.02 108. 45.3 16.0 5.3 1.81 0.61 0.04 108. 45.3 16.0 5.3 1.81 0.61 0.06 108. 45.3 16.0 5.3 1.81 0.61 0.08 108. 45.3 16.0 5.3 1.81 0.61 0.10 109. 45.2 15.95 5.3 1.80 0.60 0.12 109.5 45.1 15.83 5.25 1.79 0.58 0.14 110.5 44.8 15.7 5.20 1.76 0.575 0.16 112. 44.4 15.5 5.10 1.71 0.55 0.18 116. 44.0 15.2 4.95 1.63 0.52 0.20 121. 43.8 15.0 4.67 1.52 0.48 0.22 131. 43.5 14.6 4.40 1.44 0.447 0.24 140. 43.0 14.1 4.17 1.35 0.40 0.26 146. 42.5 13.8 3.98 1.22 0.345 0.28 152. 42.0 13.1 3.68 1.09 0.288 0.30 160. 41.5 12.5 3.40 0.945 0.224 0.32 164. 40.2 11.9 3.06 0.80 0.167 0.34 169. 38.7 11.1 2.70 0.655 0.120 0.36 170. 36.8 10.3 2.30 0.530 0.079 0.38 168. 34.2 9.5 1.96 0.420 0.40 155. 31.7 8.4 1.60 0.313 0.42 136. 28.2 7.0 1.23 0.214 0.44 112. 24.0 5.3 0.87 0.135 0.45 101. 21.0 4.38 0.68 0.085 0.46 87. 18.0 3.50 0.50 0.046 0.47 71. 14.6 2.50 0.31 0.014 0.48 55. 10.8 1.52 0.10 0.49 38. 6.0 0.55 0.008 0.50 23. 1.5 0.04 Thetalab = 137 degrees plab 0.3 0.4 0.5 0.6 0.7 0.8 0.9 0.02 130. 64. 29.0 10.0 2.78 0.75 0.192 0.04 130. 64. 29.0 10.0 2.78 0.75 0.192 0.06 130. 64. 29.0 10.0 2.76 0.74 0.190 0.08 130. 64.5 29.0 10.0 2.73 0.73 0.185 0.10 130. 64.8 29.0 10.0 2.70 0.72 0.180 0.12 131. 65.5 29.0 10.0 2.69 0.71 0.170 0.14 134. 67.0 29.1 10.0 2.66 0.695 0.161 0.16 139. 69. 29.4 10.0 2.60 0.67 0.151 0.18 148. 73.0 29.8 10.0 2.55 0.645 0.140 0.20 162. 77.5 30.2 10.0 2.50 0.605 0.129 0.22 172. 82.5 30.6 10.0 2.42 0.565 0.113 0.24 190. 86.0 31.0 9.95 2.32 0.530 0.100 0.26 206. 90.5 31.0 9.90 2.26 0.505 0.090 0.28 220. 92.5 31.3 9.65 2.15 0.465 0.080 0.30 232. 95.5 31.3 9.40 2.00 0.420 0.069 0.32 245. 96.0 30.2 8.9 1.84 0.361 0.057 0.34 251. 95.5 29.2 8.2 1.67 0.303 0.044 0.36 252. 93.0 27.8 7.25 1.46 0.245 0.0320 0.38 250. 89.5 25.2 6.15 1.20 0.180 0.0205 0.40 239. 83.0 21.9 4.90 0.90 0.113 0.0113 0.42 219. 74.0 17.0 3.60 0.58 0.049 0.0039 0.44 190. 60.5 12.0 2.20 0.32 0.0133 0.45 173. 53.0 9.2 1.50 0.175 0.0042 0.46 155. 44.0 7.2 0.95 0.08 0.47 135. 34.8 5.0 0.50 0.01 0.48 113. 25.0 2.8 0.225 0.49 91. 14.0 1.1 0.07 0.50 66. 5.1 0.15 0.011 Thetalab = 162/180 degrees plab 0.3 0.4 0.5 0.6 0.7 0.8 0.9 0.02 110. 55. 25.0 8.5 2.20 0.54 0.137 0.04 110. 55. 25.0 8.5 2.20 0.54 0.136 0.06 110. 55. 25.0 8.5 2.20 0.54 0.134 0.08 110. 55. 25.0 8.5 2.20 0.537 0.131 0.10 110. 55. 25.3 8.5 2.20 0.533 0.129 0.12 110. 55.5 25.8 8.5 2.20 0.53 0.123 0.14 110. 56.0 25.9 8.5 2.20 0.525 0.119 0.16 110. 58.0 26.1 8.5 2.20 0.515 0.112 0.18 111. 60.0 26.4 8.5 2.20 0.505 0.105 0.20 113. 62.5 26.9 8.5 2.20 0.500 0.100 0.22 117. 65.0 27.2 8.5 2.15 0.480 0.095 0.24 120. 66.5 27.8 8.5 2.10 0.458 0.090 0.26 123. 67.5 28.0 8.55 2.04 0.432 0.085 0.28 127. 66.7 27.9 8.5 1.96 0.408 0.078 0.30 129.5 65.5 27.0 8.35 1.83 0.373 0.0705 0.32 130.5 63.5 25.8 8.00 1.70 0.345 0.064 0.34 131.5 61.0 24.0 7.40 1.52 0.306 0.056 0.36 132.0 58.0 21.4 6.50 1.31 0.266 0.045 0.38 133. 54.5 18.2 5.35 1.10 0.210 0.031 0.40 134. 49.8 15.0 4.10 0.84 0.135 0.42 130.5 44.0 11.6 2.80 0.56 0.065 0.44 121. 36.3 8.3 1.55 0.285 0.018 0.45 114. 32.7 6.6 0.98 0.155 0.0025 0.46 105. 28.2 4.95 0.55 0.055 0.47 95. 23.0 3.2 0.23 0.010 0.48 81.5 16.8 1.58 0.044 0.49 65.0 9.4 0.49 0.50 57.0 1.8 0.03