Advances in High Energy Physics / 2018 / Article / Tab 1

Research Article

A New Distribution for Multiplicities in Leptonic and Hadronic Collisions at High Energies

Table 1

Parameters of shifted Gompertz and modified shifted Gompertz functions for collisions.

shifted Gompertz Modified shifted Gompertz

Energy (GeV) b p value p value

OPAL

91 0.191 0.001 33.920 1.133 190.90/21 0.0001 0.213 0.003 91.100 7.541 0.265 0.012 46.890 8.189 0.657 51.88/19 0.0001

161 0.159 0.004 26.590 3.120 16.72/20 0.6711 0.178 0.008 67.240 16.290 0.244 0.040 45.310 24.960 0.716 7.13/18 0.9890

183 0.142 0.003 25.370 1.773 7.49/24 0.9995 0.145 0.010 30.810 6.324 0.143 0.039 20.470 9.522 0.675 7.06/22 0.9989

189 0.135 0.002 21.930 1.265 22.62/22 0.4234 0.149 0.005 47.490 8.789 0.177 0.017 25.960 6.152 0.662 8.68/20 0.9863

L3

91 0.215 0.001 45.170 0.563 3989.00/25 0.0001 0.234 0.001 103.100 1.989 0.244 0.003 28.330 0.870 0.651 1094.00/23 0.0001

131 0.173 0.004 31.430 3.157 12.66/15 0.6285 0.194 0.009 87.480 27.270 0.242 0.031 50.250 21.510 0.654 5.32/13 0.9675

136 0.157 0.004 23.140 2.185 27.42/16 0.0370 0.183 0.009 82.870 25.990 0.258 0.025 56.730 19.510 0.657 19.73/14 0.1389

172 0.138 0.003 22.760 1.427 4.82/19 0.9996 0.146 0.008 36.660 12.880 0.169 0.055 22.680 16.590 0.767 2.61/17 1.0000

182 0.138 0.003 23.120 1.469 8.07/19 0.9860 0.148 0.008 46.180 12.560 0.192 0.023 35.170 11.900 0.668 5.25/17 0.9970

188 0.138 0.002 23.860 1.179 26.16/17 0.0716 0.156 0.006 58.890 10.230 0.199 0.016 38.780 9.268 0.670 10.77/15 0.7687

194 0.136 0.003 22.900 1.479 11.83/19 0.8928 0.149 0.008 25.140 3.422 0.164 0.016 114.500 67.31 0.772 6.59/17 0.9883

200 0.132 0.003 22.220 1.356 3.96/19 0.9999 0.134 0.009 29.340 12.030 0.169 0.059 26.260 17.710 0.779 3.73/17 0.9997

206 0.129 0.003 22.320 1.233 1.42/19 1.0000 0.135 0.013 25.170 5.682 0.114 0.050 14.700 12.630 0.790 1.32/17 1.0000

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