Research Article
A New Distribution for Multiplicities in Leptonic and Hadronic Collisions at High Energies
Table 3
Parameters of shifted Gompertz and modified shifted Gompertz functions for
collisions.
| | | Shifted Gompertz | | | | Modified Shifted Gompertz | | | | | | |
| Energy (GeV) | | b | | | p value | | | | | | | p value |
| 900 | 0.5 | 0.320 0.005 | 0.719 0.113 | 3.57/19 | 1.0000 | 0.327 0.007 | 1.250 0.243 | 0.949 0.370 | 1.259 2.089 | 0.840 | 2.24/17 | 1.0000 |
| 900 | 1.0 | 0.193 0.002 | 1.307 0.109 | 84.97/36 | 0.0001 | 0.198 0.002 | 2.260 0.159 | 0.667 0.079 | 3.366 1.286 | 0.810 | 63.32/34 | 0.0017 |
| 900 | 1.5 | 0.131 0.001 | 1.320 0.092 | 66.98/48 | 0.0364 | 0.136 0.002 | 2.553 0.169 | 0.397 0.036 | 3.114 0.866 | 0.760 | 44.22/46 | 0.5471 |
| 900 | 2.0 | 0.101 0.001 | 1.431 0.084 | 55.41/58 | 0.5722 | 0.104 0.001 | 2.660 0.169 | 0.283 0.024 | 3.123 0.756 | 0.750 | 33.43/56 | 0.9928 |
| 900 | 2.4 | 0.087 0.001 | 1.585 0.081 | 72.26/64 | 0.2239 | 0.088 0.001 | 2.662 0.162 | 0.250 0.021 | 3.816 1.020 | 0.780 | 48.03/62 | 0.9036 |
| 2360 | 0.5 | 0.242 0.005 | 0.516 0.099 | 8.13/19 | 0.9853 | 0.424 0.042 | 1.148 0.433 | 0.253 0.011 | 5.447 1.320 | 0.720 | 5.70/17 | 0.9950 |
| 2360 | 1.0 | 0.133 0.002 | 0.700 0.091 | 24.30/34 | 0.8904 | 0.139 0.003 | 2.472 0.270 | 0.352 0.033 | 1.823 0.550 | 0.620 | 14.03/32 | 0.9975 |
| 2360 | 1.5 | 0.092 0.002 | 0.819 0.090 | 28.08/45 | 0.9773 | 0.099 0.002 | 3.089 0.303 | 0.249 0.019 | 2.195 0.499 | 0.590 | 10.03/43 | 1.0000 |
| 2360 | 2.0 | 0.071 0.001 | 0.917 0.088 | 39.83/55 | 0.9383 | 0.076 0.002 | 3.342 0.321 | 0.190 0.013 | 2.526 0.487 | 0.580 | 12.70/53 | 1.0000 |
| 2360 | 2.4 | 0.062 0.001 | 1.122 0.089 | 59.55/66 | 0.6993 | 0.137 0.006 | 2.699 0.379 | 0.070 0.002 | 8.042 0.832 | 0.610 | 14.49/64 | 1.0000 |
| 7000 | 0.5 | 0.184 0.002 | 0.580 0.073 | 117.50/37 | 0.0001 | 0.387 0.013 | 1.376 0.248 | 0.202 0.003 | 7.402 0.599 | 0.710 | 24.08/35 | 0.9178 |
| 7000 | 1.0 | 0.101 0.001 | 0.846 0.068 | 223.70/66 | 0.0001 | 0.229 0.007 | 1.778 0.250 | 0.110 0.001 | 6.826 0.409 | 0.650 | 48.85/64 | 0.9195 |
| 7000 | 1.5 | 0.068 0.001 | 0.854 0.062 | 247.90/88 | 0.0001 | 0.192 0.006 | 2.419 0.336 | 0.074 0.001 | 4.459 0.241 | 0.520 | 60.87/86 | 0.9817 |
| 7000 | 2.0 | 0.049 0.001 | 0.667 0.053 | 164.60/108 | 0.0004 | 0.136 0.005 | 2.111 0.276 | 0.055 0.001 | 4.306 0.229 | 0.530 | 27.79/106 | 1.0000 |
| 7000 | 2.4 | 0.042 0.001 | 0.693 0.051 | 179.70/123 | 0.0007 | 0.046 0.001 | 3.871 0.195 | 0.122 0.004 | 2.396 0.304 | 0.510 | 30.92/121 | 1.0000 |
|
|