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 0.02 343. 341.0 324. 282. 235. 186. 144. 111. 86. 66.0 54.0 0.04 342. 340.0 322. 280. 233. 184. 142. 110. 85.5 65.5 53.5 0.06 341. 339.0 320. 279. 230. 182. 140. 109. 85.0 65.0 53.0 0.08 340. 334.0 315. 277. 228. 180. 137. 105. 83.0 64.5 51.5 0.10 337. 328.0 310. 270. 221. 177. 134. 101.5 80.5 62.5 49.7 0.12 330. 322.0 305. 265. 216. 170. 130. 99.5 79.0 60.0 47.0 0.14 324. 316.0 300. 258. 209. 164. 124. 95.0 75.0 56.0 44.0 0.16 320. 310.0 291. 248. 199. 156. 118. 89.0 70.0 52.0 40.0 0.18 312. 299.0 280. 230. 185. 145. 109. 81.0 63.0 46.1 35.5 0.20 300. 284.0 261. 214. 170. 129. 97. 73.0 55.5 40.2 30.5 0.22 290. 267.0 239. 192. 150. 111. 85. 64.0 47.0 34.1 25.5 0.24 275. 245.0 212. 170. 130. 95. 76.5 53.5 38.8 28.5 21.0 0.26 258. 220.0 186. 147. 110. 80.0 60.0 44.0 32.0 22.7 16.4 0.28 236. 196.0 160. 123. 92.5 65. 48.0 34.8 25.0 17.5 12.4 0.30 212. 171.0 135. 101. 75.0 51.5 37.8 26.6 18.9 13.0 9.0 0.32 187. 149.0 113. 82. 59.8 39.8 28.2 19.0 13.1 9.0 6.05 0.34 160. 128.0 94.5 64.5 45.0 29.0 20.0 12.5 8.3 5.6 3.60 0.36 136. 106.0 75.5 48.0 32.0 19.0 12.1 6.6 4.2 2.7 1.57 0.38 113. 86.0 59.0 34.0 21.0 10.8 5.60 2.35 1.20 0.55 0.18 0.40 92. 67.0 43.8 22.5 11.2 4.58 1.25 0.42 72. 50.0 30.0 13.0 4.9 1.35 0.43 63. 43.4 23.5 9.0 2.8 0.50 0.44 54.7 36.1 18.0 5.8 1.2 0.15 0.45 46.1 30.0 13.1 3.2 0.33 0.007 0.46 39.3 24.9 9.2 1.8 0.048 0.47 33.0 20.0 6.4 0.75 0.48 27.0 16.0 4.0 0.27 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 0.02 296. 272.0 210. 156. 111. 79. 56.5 39.0 28.5 19.5 14.1 0.04 295. 271.0 210. 155.5 110.5 78.5 56.0 38.7 28.0 19.3 13.8 0.06 294. 270.0 210. 155. 110. 78. 55.5 38.4 27.5 19.1 13.5 0.08 292. 269.0 209. 152.5 109. 77. 55.0 37.8 26.8 18.7 13.1 0.10 290. 265.0 207. 151. 107. 75.5 54.0 36.4 25.8 18.0 12.5 0.12 290. 262.0 205. 150. 105. 74.5 52.5 35.0 24.5 17.0 11.9 0.14 290. 260.0 201. 148. 101.5 72. 50.0 33.2 23.0 15.8 10.9 0.16 289. 257.0 199. 144. 99. 69.5 47.0 30.8 21.0 14.4 9.95 0.18 281. 250.0 191. 138. 95. 65.0 44.0 28.8 19.0 13.0 8.85 0.20 278. 240.0 180. 130. 89. 60.5 39.6 26.0 17.1 11.6 7.80 0.22 270. 224.0 168. 119. 81. 55.0 35.0 23.0 15.0 10.0 6.70 0.24 255. 208.0 151. 107. 72. 49.0 30.3 20.0 12.8 8.5 5.55 0.26 240. 185.0 132. 92. 62. 41.8 25.3 16.3 10.5 6.95 4.50 0.28 222. 166.0 115. 78. 52.3 34.7 20.9 13.3 8.5 5.50 3.55 0.30 202. 144.0 97.5 65. 43.0 28.0 16.8 10.4 6.75 4.22 2.68 0.32 180. 123.0 81.0 52.5 34.3 22.0 13.0 7.95 5.00 3.15 1.90 0.34 157. 103.0 65.5 42.0 26.8 16.4 9.5 5.65 3.43 2.08 1.22 0.36 133. 85.0 51.5 32.3 19.5 11.3 6.3 3.41 1.97 1.06 0.55 0.38 110. 67.0 39.7 24.0 12.7 6.4 3.18 1.46 0.66 0.22 0.04 0.40 89.5 52.5 28.8 16.0 6.6 2.55 0.80 0.18 0.42 70.5 40.0 19.6 9.0 2.25 0.43 0.43 61.5 34.2 15.7 6.0 1.0 0.44 54.0 29.0 12.3 3.6 0.36 0.45 45.8 24.0 9.25 1.65 0.08 0.46 38.3 19.5 6.9 0.7 0.47 31.6 15.2 4.7 0.19 0.48 25.0 11.4 2.9 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 0.02 252. 191.0 130. 81. 53.0 34.1 22.9 15.2 9.70 6.20 3.85 0.04 250. 190.0 130. 80.5 52.5 34.0 22.7 15.0 9.55 6.10 3.80 0.06 248. 190.0 130. 80.0 52.0 33.9 22.5 14.8 9.25 6.00 3.70 0.08 246. 190.0 130. 80.0 51.5 33.3 22.1 14.2 9.00 5.75 3.54 0.10 244. 189.0 129. 79.0 50.7 32.3 21.6 13.8 8.55 5.50 3.38 0.12 241. 188.0 128. 78.0 50.0 31.8 20.6 13.1 8.10 5.15 3.18 0.14 240. 187.0 124. 77.0 49.0 30.3 19.5 12.1 7.60 4.80 2.92 0.16 240. 186.0 121. 75.0 47.2 29.0 18.2 11.4 7.00 4.38 2.68 0.18 238. 185.0 118. 72.0 45.2 27.2 17.0 10.5 6.40 3.93 2.40 0.20 231. 181.0 112. 69.5 43.0 25.0 15.4 9.5 5.80 3.50 2.11 0.22 227. 174.0 107. 65.0 40.0 23.0 13.9 8.45 5.15 3.02 1.81 0.24 220. 165.0 100. 60.0 36.3 20.8 12.1 7.2 4.40 2.60 1.52 0.26 213. 152.0 90.5 54.0 31.7 18.2 10.3 6.10 3.60 2.12 1.22 0.28 201. 138.0 81.0 46.7 27.2 15.4 8.7 5.00 2.85 1.68 0.95 0.30 187. 122.0 70.5 39.6 22.3 12.7 7.00 4.00 2.19 1.27 0.715 0.32 170. 106.0 60.0 32.3 17.8 10.0 5.40 3.00 1.59 0.91 0.510 0.34 150. 90.0 50.0 25.5 13.4 7.30 3.85 2.05 1.05 0.59 0.324 0.36 129. 74.5 40.0 19.0 9.5 4.90 2.42 1.17 0.57 0.307 0.152 0.38 107. 59.5 30.7 13.4 6.15 2.75 1.14 0.40 0.40 87.5 45.2 21.8 8.7 3.25 1.06 0.42 68.0 32.8 13.6 4.15 0.95 0.46 0.43 59.0 27.2 10.2 2.40 0.44 0.44 50.0 22.1 7.0 1.20 0.167 0.45 42.0 17.9 4.6 0.50 0.025 0.46 34.2 13.8 2.75 0.19 0.47 27.5 10.2 1.50 0.05 0.48 21.5 7.2 0.65 0.49 16.0 4.5 0.50 11.1 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 0.02 222 . 132.0 80. 46.0 26.4 16.1 9.8 6.0 3.2 1.86 1.09 0.04 222. 131.5 80. 46.0 26.2 16.0 9.7 5.9 3.1 1.80 1.04 0.06 222. 131.0 80. 45.8 26.0 15.7 9.4 5.7 3.0 1.72 0.99 0.08 222. 130.5 79.0 45.0 26.0 15.4 9.0 5.40 2.9 1.63 0.92 0.10 222. 130.0 77.5 44.0 25.5 15.0 8.5 5.10 2.75 1.53 0.86 0.12 222. 130.0 76.0 43.2 24.9 14.3 8.1 4.76 2.60 1.42 0.80 0.14 222. 129.0 74.5 42.0 24.0 13.7 7.6 4.40 2.40 1.32 0.72 0.16 222. 128.0 72.0 40.4 22.8 12.8 7.0 4.00 2.20 1.20 0.65 0.18 220. 125.0 70.0 38.7 21.2 12.0 6.4 3.60 2.00 1.10 0.58 0.20 218. 121.0 67.0 36.7 19.8 11.0 5.90 3.20 1.80 0.98 0.505 0.22 213. 119.0 63.0 34.2 18.1 9.8 5.30 2.80 1.58 0.85 0.445 0.24 208. 111.0 60.0 32.0 16.5 9.0 4.70 2.44 1.37 0.73 0.382 0.26 200. 105.0 55.5 29.0 14.9 8.0 4.10 2.10 1.16 0.624 0.327 0.28 190. 98.0 50.0 26.0 13.0 6.80 3.44 1.77 0.965 0.510 0.268 0.30 177. 89.5 44.3 22.4 11.0 5.65 2.80 1.43 0.76 0.392 0.203 0.32 160. 79.0 38.0 18.6 9.00 4.43 2.16 1.08 0.55 0.272 0.134 0.34 142. 67.5 31.4 14.8 6.95 3.27 1.50 0.725 0.353 0.157 0.064 0.36 122. 56.0 25.0 11.1 4.83 2.13 0.90 0.37 0.164 0.046 0.38 102. 44.4 19.0 7.9 3.05 1.17 0.40 0.11 0.020 0.40 82.5 33.7 13.0 4.85 1.53 0.43 0.08 0.42 63.0 23.8 7.5 2.25 0.44 0.065 0.43 55.0 19.4 5.3 1.25 0.15 0.44 46.7 15.3 3.5 0.55 0.033 0.45 39.8 11.9 2.12 0.18 0.005 0.46 32.4 8.95 1.18 0.034 0.47 26.3 6.3 0.55 0.48 20.7 4.15 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 0.02 190. 95.0 48.5 24.3 12.7 6.15 3.20 1.60 0.76 0.40 0.19 0.04 190. 95.0 48.0 24.1 12.5 6.05 3.10 1.56 0.74 0.380 0.184 0.06 188. 94.0 47.0 23.9 12.3 5.95 3.00 1.50 0.72 0.360 0.178 0.08 185. 92.5 46.0 23.1 12.0 5.80 2.88 1.44 0.68 0.340 0.168 0.10 182. 91.0 45.0 22.6 11.75 5.50 2.74 1.36 0.645 0.320 0.157 0.12 181. 90.0 44.0 22.0 11.1 5.25 2.60 1.29 0.60 0.295 0.145 0.14 180. 89.5 42.5 21.1 10.8 5.00 2.42 1.19 0.55 0.270 0.131 0.16 179.5 88.0 41.5 20.2 10.1 4.70 2.25 1.09 0.50 0.244 0.120 0.18 179. 85.5 40.0 19.0 9.5 4.40 2.08 0.98 0.458 0.217 0.106 0.20 178. 84.0 38.0 18.0 8.85 4.10 1.88 0.87 0.403 0.190 0.091 0.22 175. 80.5 36.5 16.8 8.00 3.74 1.68 0.77 0.353 0.160 0.076 0.24 170. 76.5 34.0 15.4 7.25 3.35 1.49 0.67 0.302 0.133 0.061 0.26 165. 71.5 31.0 14.2 6.50 2.98 1.31 0.58 0.250 0.110 0.0465 0.28 158. 66.0 28.0 12.95 5.65 2.59 1.13 0.484 0.203 0.085 0.0338 0.30 150.0 60.0 24.9 11.3 4.80 2.20 0.95 0.398 0.159 0.060 0.0224 0.32 138.0 53.5 21.6 9.8 4.00 1.79 0.75 0.307 0.114 0.042 0.0118 0.34 120.0 46.6 18.1 8.0 3.12 1.34 0.545 0.220 0.070 0.022 0.36 102.0 39.0 14.7 6.05 2.22 0.90 0.336 0.129 0.38 85. 31.6 11.0 4.00 1.30 0.43 0.128 0.030 0.40 67.5 23.9 7.05 2.10 0.40 0.42 52.0 16.1 3.65 0.70 0.43 45.4 13.0 2.31 0.328 0.44 39.0 10.0 1.34 0.132 0.45 32.3 7.45 0.65 0.042 0.46 26.8 5.5 0.28 0.009 0.47 21.7 3.84 0.48 16.9 2.6 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 0.02 143. 67.0 28.2 11.3 4.83 2.03 0.860 0.328 0.04 142. 66.0 28.0 11.2 4.80 2.00 0.850 0.320 0.06 141. 65.0 27.6 11.1 4.70 1.96 0.840 0.310 0.08 140. 64.0 26.5 10.9 4.59 1.90 0.815 0.302 0.10 139.5 62.0 25.3 10.6 4.41 1.84 0.800 0.295 0.12 138.0 60.0 24.4 10.1 4.23 1.78 0.770 0.286 0.14 136.0 58.0 23.4 9.7 4.03 1.69 0.730 0.271 0.16 134. 56.0 22.3 9.2 3.80 1.58 0.685 0.255 0.18 132. 54.0 21.0 8.6 3.59 1.47 0.630 0.234 0.20 131. 51.5 19.8 8.0 3.30 1.35 0.570 0.210 0.22 128. 48.5 18.5 7.4 3.02 1.21 0.505 0.181 0.24 125. 46.0 17.0 6.7 2.71 1.10 0.440 0.150 0.26 120.0 43.8 15.8 6.00 2.40 0.955 0.373 0.122 0.28 116.0 40.5 14.3 5.30 2.10 0.810 0.308 0.095 0.30 110.0 37.0 12.7 4.60 1.78 0.670 0.250 0.071 0.32 102.0 32.9 11.0 3.80 1.45 0.520 0.190 0.047 0.34 94.0 28.5 9.10 3.00 1.10 0.377 0.134 0.36 83. 23.4 7.20 2.17 0.75 0.235 0.079 0.38 71. 18.0 5.25 1.40 0.40 0.110 0.40 58.0 13.0 3.37 0.720 0.42 44.6 8.2 1.70 0.245 0.43 38.0 6.25 1.09 0.117 0.44 32.1 4.6 0.57 0.045 0.45 26.5 3.2 0.22 0.012 0.46 21.4 2.2 0.47 16.7 1.42 0.48 12.5 0.89 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 0.02 115.0 44.0 15.3 5.40 1.92 0.690 0.220 0.072 0.0235 0.04 114.0 43.0 15.1 5.30 1.90 0.680 0.217 0.071 0.0232 0.06 112.0 42.2 15.0 5.20 1.88 0.667 0.212 0.070 0.023 0.08 111.0 41.8 14.8 5.15 1.84 0.660 0.208 0.068 0.0224 0.10 110.5 41.0 14.2 5.05 1.81 0.655 0.205 0.067 0.022 0.12 110.0 40.0 13.9 4.95 1.76 0.640 0.203 0.065 0.0211 0.14 109.5 39.0 13.3 4.80 1.70 0.625 0.201 0.063 0.0202 0.16 109.0 37.8 12.7 4.60 1.62 0.600 0.194 0.060 0.019 0.18 108.0 36.1 12.0 4.38 1.53 0.570 0.185 0.057 0.0175 0.20 106.0 34.4 11.4 4.00 1.43 0.530 0.172 0.054 0.0153 0.22 103.0 32.4 10.6 3.63 1.30 0.476 0.154 0.050 0.0131 0.24 100.5 30.4 9.7 3.20 1.12 0.404 0.130 0.044 0.010 0.26 97.5 28.1 8.7 2.80 0.925 0.326 0.110 0.036 0.28 93.0 26.0 7.75 2.40 0.750 0.246 0.088 0.028 0.30 89.0 23.4 6.70 2.00 0.595 0.191 0.0665 0.019 0.32 83.0 20.8 5.60 1.60 0.447 0.139 0.045 0.34 76.0 17.9 4.50 1.20 0.320 0.091 0.025 0.36 68.0 14.7 3.38 0.82 0.205 0.053 0.010 0.38 59.0 11.3 2.28 0.485 0.110 0.023 0.40 48.0 8.0 1.33 0.215 0.42 37.0 5.0 0.625 0.046 0.44 26.2 2.6 0.19 0.46 17.0 1.13 0.019 0.48 9.2 0.38 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 8.90 2.66 0.790 0.26 0.04 90. 27.5 8.70 2.60 0.770 0.255 0.06 90. 27.0 8.55 2.51 0.750 0.25 0.08 89. 26.2 8.45 2.45 0.725 0.24 0.10 88. 25.7 8.15 2.38 0.700 0.231 0.12 87. 25.0 7.80 2.28 0.670 0.22 0.14 86. 24.0 7.50 2.18 0.630 0.208 0.16 85. 23.0 7.10 2.07 0.595 0.192 0.18 84.5 22.0 6.80 1.94 0.550 0.175 0.20 82.0 21.0 6.35 1.80 0.510 0.157 0.22 79.5 20.0 5.95 1.68 0.460 0.139 0.24 76.5 19.0 5.40 1.50 0.403 0.118 0.26 74.5 18.0 4.79 1.27 0.340 0.095 0.28 71.5 16.4 4.12 1.03 0.275 0.074 0.30 69.0 14.9 3.46 0.80 0.210 0.053 0.32 65.0 13.0 2.78 0.59 0.147 0.033 0.34 59.3 11.0 2.10 0.40 0.090 0.0155 0.36 52.5 8.6 1.48 0.24 0.047 0.38 45.0 6.5 0.92 0.123 0.0175 0.40 36.7 4.48 0.49 0.043 0.42 28.1 2.70 0.22 0.44 20.0 1.30 0.075 0.46 13.0 0.46 0.012 0.48 7.6 0.129 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. 17.2 4.55 1.18 0.303 0.080 0.018 0.04 65. 17.2 4.55 1.17 0.301 0.079 0.0178 0.06 64.9 17.1 4.46 1.15 0.294 0.076 0.0171 0.08 64.2 17.0 4.39 1.12 0.284 0.0735 0.0163 0.10 63.7 16.8 4.25 1.09 0.273 0.070 0.0155 0.12 63.2 16.3 4.17 1.05 0.260 0.065 0.0146 0.14 61.7 15.9 4.00 1.00 0.245 0.060 0.0134 0.16 60.0 15.05 3.80 0.92 0.223 0.055 0.0123 0.18 58.0 14.3 3.53 0.85 0.200 0.050 0.0110 0.20 55.5 13.6 3.23 0.75 0.173 0.044 0.22 53.0 12.8 2.90 0.65 0.147 0.0378 0.24 50.0 11.7 2.50 0.545 0.120 0.0310 0.26 46.4 10.5 2.10 0.424 0.095 0.0242 0.28 43.0 9.4 1.68 0.320 0.072 0.0170 0.30 39.5 8.25 1.30 0.227 0.050 0.0097 0.32 35.2 6.95 0.93 0.095 0.030 0.34 30.7 5.55 0.65 0.053 0.014 0.36 26.8 4.28 0.423 0.025 0.38 22.6 3.10 0.25 0.007 0.40 18.8 2.05 0.135 0.42 14.8 1.19 0.057 0.44 11.3 0.60 0.021 0.46 8.25 0.21 0.004 0.48 5.80 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. 14.05 3.16 0.710 0.164 0.0365 0.04 59. 14.0 3.13 0.700 0.162 0.0360 0.06 58. 13.95 3.10 0.690 0.160 0.0350 0.08 57. 13.7 3.06 0.680 0.157 0.0340 0.10 56.0 13.5 3.03 0.670 0.151 0.0330 0.12 55.0 13.2 3.00 0.650 0.145 0.0320 0.14 53.0 13.0 2.91 0.625 0.139 0.0305 0.16 51.0 12.6 2.83 0.595 0.130 0.0290 0.18 48.3 12.1 2.71 0.555 0.120 0.0275 0.20 45.7 11.6 2.59 0.505 0.110 0.0255 0.22 42.0 10.8 2.38 0.452 0.095 0.0230 0.24 38.0 9.8 2.08 0.383 0.079 0.0194 0.26 34.0 8.70 1.65 0.303 0.062 0.0139 0.28 30.4 7.45 1.28 0.225 0.045 0.0074 0.30 27.0 6.20 0.93 0.156 0.030 0.0021 0.32 23.5 5.05 0.65 0.099 0.0169 0.34 20.3 3.96 0.42 0.0525 0.006 0.36 17.5 3.00 0.26 0.021 0.38 14.9 2.15 0.153 0.0055 0.40 12.3 1.40 0.082 0.42 10.0 0.81 0.0385 0.44 8.15 0.40 0.014 0.46 6.40 0.168 0.0034 0.48 4.80 0.055