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 |
|
|