Interpolation of the invariant cross section for pi+ as a function of 1/sqrt(s) for fixed plab and Thetalab. Thetalab = 25 degrees plab 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 0.02 385. 374.0 351. 300. 242. 190. 146. 115. 91. 70.0 54.0 0.04 385. 373.0 349. 299. 241. 190. 145.5 115. 90. 69.0 53.0 0.06 384. 372.0 348. 298. 240. 188. 145. 113. 89. 68.0 52.5 0.08 383. 371.0 347. 296. 239. 185. 144.5 112. 88. 66.0 51.5 0.10 381. 370.0 343. 293. 237. 183. 143. 110. 86. 64.5 50.0 0.12 379. 363.0 340. 287. 234. 180. 141. 108. 84.0 63.0 49.5 0.14 375. 356.0 330. 280. 227. 177. 137. 105. 81.0 61.0 47.5 0.16 370. 346.0 319. 270. 220. 171. 131. 100. 76.0 59.0 45.3 0.18 364. 336.0 307. 256. 211. 161. 123. 95.0 72.5 55.5 42.8 0.20 356. 325.0 295. 243. 197. 151. 114. 89.0 68.0 51.5 40.0 0.22 348. 315.0 279. 230. 184. 140. 105.0 80.0 62.0 47.0 36.0 0.24 340. 304.0 265. 215. 171. 130. 95.0 73.0 55.5 42.0 31.3 0.26 331. 294.0 249. 202. 155. 118. 86.5 65.0 49.8 36.7 27.0 0.28 321. 283.0 233. 188. 142. 106. 76.5 56.5 42.0 30.8 22.0 0.30 312. 272.0 220. 170. 128. 95. 67.0 48.0 35.6 25.2 17.7 0.32 303. 261.0 205. 153. 112. 82.0 57.0 40.0 28.8 20.0 13.6 0.34 295. 250.0 190. 134. 97.5 67.0 47.3 31.9 22.3 14.9 9.9 0.36 285. 240.0 174. 116. 82.0 57.5 37.4 24.0 16.0 10.3 6.65 0.38 277. 230.0 160. 98. 65.0 41.5 26.1 16.9 10.5 6.5 4.0 0.40 267. 218.0 146. 80. 46.0 24.3 15.3 9.2 5.0 2.85 1.7 0.42 253. 204.0 131. 63. 26.4 0.44 240. 190.0 117. 48.2 10.2 0.46 226. 175.0 100. 35.5 2.0 0.48 219. 158.0 84.5 24.2 Thetalab = 35 degrees plab 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 0.02 290. 272.0 220. 158. 110. 77. 57. 40. 30.0 19.8 14.4 0.04 290. 272.0 220. 158. 110. 77. 57. 39.5 29.8 19.7 14.2 0.06 290. 272.0 220. 158. 110. 77. 56.5 39.0 29.2 19.5 14.0 0.08 290. 271.0 220. 157. 110. 77. 56.0 38.8 28.9 19.3 13.7 0.10 290. 270.0 219.5 155. 109. 76. 55.5 38.1 28.0 19.0 13.4 0.12 290. 268.0 219. 153. 108. 76. 54.5 37.9 27.5 18.7 13.0 0.14 290. 265.0 218. 152. 107. 74. 54.0 37.3 26.7 18.2 12.6 0.16 290. 262.0 216. 150. 104. 73. 52.5 36.1 25.8 17.8 12.1 0.18 290. 260.0 212. 148. 102. 70. 50.5 35.0 24.5 17.0 11.7 0.20 288. 258.0 208. 145. 99. 68. 48.6 33.2 23.0 15.9 10.95 0.22 284. 254.0 201. 140. 95. 64.5 45.4 30.7 21.0 14.4 10.0 0.24 280. 250.0 192. 134. 89. 60. 42.0 28.2 19.0 13.0 9.05 0.26 275. 240.0 180. 126. 81. 55. 37.4 25.0 16.6 11.35 8.0 0.28 270. 231.0 169. 115. 74. 49.0 33.3 22.0 14.4 9.8 6.9 0.30 263. 223.0 157. 103. 66.5 43.3 29.0 19.4 12.4 8.3 5.65 0.32 258. 215.0 144. 91.5 59.0 37.7 25.0 16.3 10.3 6.9 4.58 0.34 251. 207.0 132. 80. 51.5 32.0 21.0 13.4 8.5 5.50 3.58 0.36 244. 198.0 120. 70. 43.8 26.5 16.9 10.5 6.5 4.03 2.5 0.38 238. 188.0 109. 58.0 35.0 20.7 12.3 7.3 4.44 2.60 1.6 0.40 230. 177.0 97. 46.0 25.3 14.0 7.1 3.95 2.20 1.00 0.65 0.42 222. 166.0 86. 32.3 14.9 6.6 0.43 218. 162.0 80.5 26.4 9.2 3.2 0.44 214. 158.0 75. 20.5 5.5 0.8 0.45 210. 153.0 70. 16.0 1.3 0.08 0.46 206. 147.0 65. 11.9 0.15 0.47 203. 141.5 60. 9.0 0.48 199. 136.0 55. 6.1 Thetalab = 45 degrees plab 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 0.02 250. 184.0 127. 79. 49.5 34. 23.0 15.4 9.5 6.20 3.81 0.04 250. 184.0 127. 79. 49.5 34. 23.0 15.4 9.5 6.20 3.805 0.06 250. 184.0 127. 78.5 49.3 34. 23.0 15.4 9.5 6.15 3.80 0.08 250. 184.0 126. 77.5 49.0 33.9 22.9 15.2 9.5 6.04 3.80 0.10 250. 184.0 124. 76.5 48.4 33.6 22.8 15.1 9.35 5.95 3.73 0.12 250. 184.0 122. 76.0 48.1 33.2 22.5 14.9 9.15 5.80 3.63 0.14 250. 184.0 121. 75.0 47.9 32.8 22.0 14.4 8.95 5.60 3.53 0.16 250. 182.0 120. 74.7 47.5 32.2 21.5 13.9 8.65 5.40 3.40 0.18 250. 180.0 119. 73.0 47.0 31.8 20.8 13.1 8.25 5.10 3.20 0.20 250. 180.0 118. 72.0 46.0 31.0 19.8 12.3 7.80 4.80 3.00 0.22 249. 179.0 115. 70.5 45.0 29.7 18.6 11.4 7.20 4.40 2.74 0.24 246. 176.0 111. 69.0 43.3 28.0 17.1 10.3 6.55 4.00 2.46 0.26 244. 170.0 106. 65.5 40.3 25.9 15.6 9.25 5.83 3.50 2.17 0.28 242. 166.0 101. 62. 37.2 24.0 14.3 8.3 5.15 3.13 1.89 0.30 240. 160.0 95. 57.5 34.0 21.9 12.8 7.30 4.64 2.70 1.60 0.32 237. 151.0 87. 52.3 30.2 19.1 11.0 6.25 3.80 2.28 1.33 0.34 231. 142.0 79.5 46.0 26.0 16.0 9.1 5.10 3.03 1.80 1.03 0.36 228. 134.0 71.0 38.8 21.9 12.5 7.0 3.94 2.22 1.28 0.73 0.38 222. 126.0 62.5 31.5 17.0 8.9 4.7 2.56 1.30 0.70 0.37 0.40 216. 118.0 54.0 23.1 11.5 5.2 2.2 0.85 0.42 209. 110.0 46.0 14.6 5.5 1.92 0.43 204. 106. 42.0 10.6 3.2 0.80 0.44 199. 101.0 38.1 7.2 1.3 0.18 0.45 193. 97.0 34.1 4.6 0.36 0.02 0.46 187. 94.0 30.2 2.63 0.065 0.0003 0.47 180. 90.0 27.0 1.20 0.005 0.48 172. 84.5 23.1 0.44 0.49 165. 79.5 17.1 0.123 Thetalab = 55 degrees plab 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 0.02 220. 137.0 81. 45.5 26.3 15.5 9.5 6.0 3.2 1.80 1.08 0.04 220. 136.0 80.5 45.5 26.2 15.5 9.5 6.0 3.2 1.80 1.08 0.06 220. 135.0 80. 45.0 26.2 15.5 9.5 6.0 3.2 1.80 1.08 0.08 219. 134.0 79.5 44.8 26.1 15.5 9.5 5.95 3.2 1.80 1.04 0.10 217. 132.0 79.0 44.2 26.0 15.5 9.5 5.90 3.15 1.77 1.01 0.12 215. 131.0 78.3 44.0 25.9 15.5 9.4 5.75 3.05 1.71 0.98 0.14 215. 131.0 77.9 44.0 25.7 15.5 9.2 5.60 2.97 1.67 0.945 0.16 215. 130.5 77.5 43.9 25.2 15.4 9.0 5.40 2.83 1.60 0.90 0.18 214. 130.0 77.0 43.0 24.8 15.2 8.75 5.15 2.71 1.51 0.85 0.20 214. 130.0 76.0 42.2 24.0 14.9 8.40 4.85 2.58 1.43 0.80 0.22 212. 129.5 75.0 41.6 23.4 14.3 7.95 4.50 2.40 1.33 0.745 0.24 211. 128.0 73.0 40.0 22.4 13.8 7.45 4.12 2.23 1.21 0.69 0.26 211. 124.0 70.0 38.7 21.2 13.0 6.80 3.68 2.04 1.08 0.61 0.28 210. 120.0 67.0 36.5 20.0 12.0 6.15 3.29 1.80 0.95 0.53 0.30 210. 115.0 63.0 35.0 18.6 10.7 5.50 2.87 1.56 0.81 0.443 0.32 208. 110.0 58.5 32.0 17.0 9.25 4.66 2.40 1.27 0.655 0.353 0.34 205. 104.0 54.0 28.5 14.8 7.60 3.80 1.90 0.955 0.500 0.260 0.36 201. 100.0 48.2 24.0 12.0 5.80 2.80 1.37 0.63 0.330 0.163 0.38 197. 95.0 42.4 18.9 8.8 3.90 1.79 0.79 0.34 0.165 0.070 0.40 193. 89.0 36.0 12.6 5.40 2.05 0.42 190. 82.0 29.0 6.95 2.30 0.43 186.5 79.0 25.0 4.58 1.19 0.44 183. 75.0 21.2 2.80 0.53 0.45 180.5 70.5 17.3 1.50 0.10 0.46 178. 67.0 13.9 0.74 0.47 174. 63.0 10.3 0.25 0.48 170. 59.5 Thetalab = 67 degrees plab 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 0.02 185. 95.0 48. 24.8 12.3 6.4 3.20 1.59 0.77 0.40 0.19 0.04 185. 95.0 48. 24.8 12.3 6.35 3.18 1.58 0.76 0.395 0.189 0.06 185. 95.0 48. 24.5 12.2 6.30 3.15 1.57 0.76 0.390 0.188 0.08 185. 95.0 48.0 24.3 12.1 6.25 3.10 1.55 0.75 0.385 0.184 0.10 185. 95.0 48.0 24.1 12.0 6.20 3.07 1.53 0.75 0.382 0.182 0.12 185. 95.0 48.0 24.0 12.0 6.15 3.03 1.51 0.73 0.380 0.180 0.14 185. 95.0 47.8 23.9 12.0 6.05 3.00 1.50 0.72 0.370 0.177 0.16 185. 94.5 47.5 23.5 11.9 6.00 2.95 1.48 0.70 0.360 0.172 0.18 185. 94.0 46.8 23.0 11.7 5.90 2.89 1.44 0.68 0.352 0.168 0.20 185. 93.0 46.0 22.5 11.2 5.70 2.75 1.39 0.65 0.342 0.161 0.22 185. 90.5 45.2 22.0 11.0 5.50 2.60 1.30 0.635 0.330 0.157 0.24 185. 89.5 44.0 21.5 10.4 5.15 2.50 1.23 0.600 0.302 0.146 0.26 184. 87.0 42.7 20.2 9.8 4.80 2.32 1.12 0.545 0.270 0.129 0.28 183. 85.0 41.2 19.0 9.0 4.34 2.10 0.995 0.480 0.230 0.119 0.30 182. 82.0 39.0 17.9 8.25 3.87 1.85 0.86 0.406 0.190 0.087 0.32 180.0 79.5 36.1 16.3 7.40 3.36 1.57 0.700 0.321 0.142 0.062 0.34 180.0 75.0 32.8 14.4 6.25 2.73 1.24 0.530 0.235 0.091 0.0365 0.36 178.0 70.0 28.9 12.1 4.98 2.09 0.86 0.345 0.143 0.042 0.010 0.38 175. 65.0 23.9 9.3 3.30 1.27 0.46 0.160 0.050 0.40 172. 59.0 18.3 6.0 1.60 0.445 0.12 0.025 0.42 170. 52.5 13.0 3.00 0.51 0.43 168. 49.2 10.6 1.80 0.23 0.44 165. 45.7 8.2 0.97 0.09 0.45 160.5 41.4 6.1 0.44 0.027 0.46 157. 37.0 4.53 0.18 0.006 0.47 150.5 32.3 3.16 0.06 0.48 144. 28.0 2.05 Thetalab = 82 degrees plab 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 0.02 145. 66.0 28.3 11.5 4.74 2.00 0.835 0.316 0.125 0.04 145. 65.5 28.2 11.5 4.72 2.00 0.830 0.315 0.125 0.06 144. 65.0 28.0 11.4 4.70 2.00 0.825 0.314 0.125 0.08 143. 64.5 27.9 11.2 4.67 2.00 0.822 0.312 0.125 0.10 142. 63.5 27.8 11.1 4.65 1.98 0.820 0.310 0.124 0.12 142. 62.7 27.2 11.0 4.62 1.96 0.815 0.307 0.123 0.14 141.5 62.0 27.0 10.9 4.60 1.94 0.810 0.303 0.122 0.16 141. 61.5 26.5 10.7 4.58 1.91 0.800 0.300 0.121 0.18 140.5 61.0 26.0 10.3 4.50 1.89 0.775 0.295 0.119 0.20 140. 60.5 25.3 10.0 4.40 1.80 0.740 0.290 0.114 0.22 140. 59.5 24.7 9.6 4.20 1.71 0.700 0.277 0.108 0.24 140. 58.5 23.8 9.1 3.97 1.60 0.650 0.257 0.097 0.26 140. 57.0 22.5 8.65 3.68 1.47 0.590 0.223 0.085 0.28 140. 55.0 21.4 8.20 3.40 1.32 0.520 0.190 0.071 0.30 140. 52.5 19.9 7.55 3.03 1.16 0.445 0.158 0.057 0.32 140.0 50.0 18.0 6.75 2.57 0.96 0.358 0.121 0.041 0.34 139.5 46.2 16.0 5.72 2.03 0.73 0.259 0.083 0.0254 0.36 139.0 42.0 14.8 4.44 1.44 0.465 0.150 0.044 0.38 138.0 37.5 10.9 2.96 0.825 0.215 0.055 0.013 0.40 137. 32.3 7.6 1.56 0.36 0.42 136. 27.0 4.65 0.63 0.09 0.43 135. 24.2 3.4 0.36 0.44 134. 21.5 2.38 0.19 0.45 132. 19.0 1.59 0.095 0.46 130. 16.7 0.95 0.036 0.47 128. 14.3 0.525 0.48 124. 12.2 0.25 0.49 118. 10.35 Thetalab = 97 degrees plab 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 0.02 113. 44.0 15.0 5.45 1.92 0.660 0.220 0.04 112.6 43.8 15.0 5.40 1.91 0.655 0.220 0.06 112.3 43.2 14.9 5.35 1.90 0.650 0.220 0.08 112.0 42.6 14.8 5.30 1.90 0.650 0.220 0.10 111.8 42.2 14.7 5.25 1.89 0.650 0.220 0.12 111.6 41.8 14.65 5.20 1.88 0.650 0.220 0.14 111.5 41.6 14.55 5.15 1.87 0.650 0.220 0.16 111.2 41.0 14.5 5.10 1.85 0.645 0.220 0.18 111.0 40.5 14.4 5.05 1.81 0.64 0.218 0.20 110.5 40.0 14.2 5.00 1.78 0.62 0.210 0.22 110.0 39.7 14.0 4.96 1.71 0.59 0.200 0.24 110. 38.7 13.5 4.83 1.60 0.55 0.182 0.26 110. 37.8 13.1 4.60 1.43 0.485 0.158 0.28 110. 36.1 12.5 4.20 1.28 0.42 0.132 0.30 110. 34.2 11.4 3.73 1.10 0.345 0.104 0.32 110.0 32.0 10.1 3.12 0.87 0.268 0.075 0.34 110.0 29.0 8.5 2.40 0.64 0.188 0.049 0.36 110.0 25.3 6.6 1.70 0.430 0.113 0.025 0.38 110.0 21.6 4.6 1.09 0.250 0.049 0.40 110.0 18.0 2.94 0.60 0.112 0.42 109.5 14.1 1.64 0.27 0.024 0.43 109. 12.2 1.18 0.16 0.44 109.0 10.4 0.80 0.081 0.45 108.5 8.5 0.515 0.025 0.46 108.0 6.8 0.32 0.47 107. 5.15 0.195 0.48 106. 3.8 0.10 0.49 105. 2.55 Thetalab = 112 degrees plab 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 0.02 90. 28.0 9.00 2.70 0.805 0.260 0.070 0.04 90. 28.0 9.00 2.70 0.805 0.260 0.070 0.06 90. 28.0 8.95 2.70 0.803 0.260 0.070 0.08 90. 28.0 8.90 2.69 0.801 0.255 0.070 0.10 90. 28.0 8.85 2.65 0.800 0.252 0.0695 0.12 90. 28.0 8.75 2.61 0.800 0.250 0.069 0.14 90. 27.8 8.70 2.60 0.800 0.249 0.0675 0.16 90. 27.5 8.60 2.59 0.795 0.245 0.066 0.18 90. 27.2 8.50 2.55 0.780 0.239 0.0645 0.20 90. 27.0 8.30 2.50 0.750 0.227 0.0615 0.22 90. 26.5 8.00 2.40 0.705 0.208 0.0570 0.24 89.5 26.0 7.65 2.25 0.645 0.180 0.0505 0.26 89.0 25.1 7.15 2.00 0.550 0.146 0.0410 0.28 88.0 24.2 6.50 1.70 0.440 0.113 0.0295 0.30 87.0 22.9 5.70 1.39 0.346 0.084 0.0182 0.32 86.0 21.0 4.80 1.10 0.250 0.057 0.0055 0.34 85.5 18.5 3.82 0.81 0.168 0.0344 0.36 85.0 15.8 2.90 0.540 0.100 0.0180 0.38 84.0 13.0 2.04 0.317 0.049 0.0042 0.40 83.5 10.2 1.30 0.160 0.016 0.42 81.5 7.55 0.70 0.069 0.44 79.5 5.30 0.29 0.021 0.46 75.5 3.33 0.08 0.48 72.0 1.56 Thetalab = 137 degrees plab 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 0.02 65.0 17.0 4.60 1.19 0.306 0.077 0.04 64.7 17.0 4.60 1.18 0.298 0.076 0.06 64.3 16.9 4.53 1.16 0.290 0.075 0.08 64.0 16.7 4.46 1.13 0.280 0.073 0.10 63.6 16.3 4.40 1.11 0.270 0.071 0.12 63.1 16.0 4.34 1.09 0.261 0.0695 0.14 62.5 15.7 4.20 1.06 0.251 0.067 0.16 62.0 15.2 4.00 1.015 0.240 0.0645 0.18 61.2 15.0 3.80 0.975 0.226 0.0605 0.20 60.6 14.4 3.60 0.905 0.219 0.0553 0.22 60.0 13.7 3.33 0.820 0.188 0.0480 0.24 59.5 13.1 3.06 0.710 0.160 0.0396 0.26 59.0 12.6 2.80 0.595 0.129 0.0295 0.28 58.5 11.8 2.52 0.480 0.097 0.0198 0.30 57.0 10.8 2.20 0.380 0.068 0.0112 0.32 56.0 9.8 1.83 0.290 0.046 0.004 0.34 55.0 8.6 1.45 0.218 0.0282 0.36 54.5 7.3 1.10 0.152 0.0150 0.38 53.0 5.95 0.800 0.096 0.40 51.5 4.60 0.525 0.048 0.42 50.5 3.40 0.300 0.44 49.5 2.28 0.149 0.46 47.0 1.42 0.050 0.48 44.5 0.83 Thetalab = 162/180 degrees plab 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 0.02 60. 14.0 3.10 0.695 0.162 0.036 0.04 60. 13.9 3.08 0.690 0.161 0.0356 0.06 59. 13.8 3.02 0.680 0.160 0.0353 0.08 58. 13.5 2.98 0.670 0.155 0.0348 0.10 57.5 13.2 2.94 0.655 0.150 0.0342 0.12 56.3 13.0 2.90 0.645 0.142 0.0337 0.14 55.0 12.9 2.83 0.625 0.134 0.0323 0.16 54.0 12.4 2.76 0.600 0.123 0.0312 0.18 52.0 12.0 2.64 0.570 0.113 0.0298 0.20 50.5 11.3 2.50 0.520 0.102 0.0279 0.22 49.5 10.5 2.30 0.460 0.091 0.0245 0.24 48.0 9.7 2.10 0.398 0.078 0.0200 0.26 46.2 8.75 1.80 0.328 0.061 0.0150 0.28 44.7 7.8 1.52 0.261 0.0445 0.0089 0.30 43.4 6.90 1.27 0.205 0.0300 0.0027 0.32 42.0 6.00 1.01 0.156 0.0175 0.34 40.0 5.10 0.795 0.116 0.36 38.0 4.25 0.585 0.081 0.38 36.0 3.48 0.413 0.052 0.40 34.0 2.75 0.262 0.028 0.42 31.5 2.06 0.143 0.0122 0.44 29.0 1.46 0.063 0.0030 0.45 28.0 1.19 0.037 0.46 26.6 0.93 0.023 0.47 25.0 0.72 0.012 0.48 23.8 0.535 0.49 22.5 0.37 0.50 21.0 0.23