Research Article
A New Distribution for Multiplicities in Leptonic and Hadronic Collisions at High Energies
Table 2
Parameters of shifted Gompertz and modified shifted Gompertz functions for
collisions.
| | | Shifted Gompertz | | | | Modified shifted Gompertz | | | | | | |
| Energy (GeV) | | b | | | p value | | | | | | | p value |
| 200 | 0.5 | 0.455 0.013 | 0.652 0.061 | 11.66/11 | 0.3897 | 0.518 0.041 | 0.584 0.105 | 0.572 0.061 | 8.898 4.092 | 0.850 | 3.79/9 | 0.9247 |
| 200 | 1.5 | 0.194 0.005 | 1.570 0.099 | 9.11/29 | 0.9998 | 0.171 0.007 | 1.064 0.127 | 0.338 0.052 | 6.284 2.489 | 0.812 | 5.39/27 | 1.0000 |
| 200 | 3.0 | 0.123 0.003 | 2.606 0.179 | 12.60/47 | 1.0000 | 0.159 0.010 | 3.455 0.332 | 0.108 0.015 | 9.180 5.148 | 0.800 | 2.98/45 | 1.0000 |
| 200 | 5.0 | 0.101 0.002 | 3.381 0.175 | 35.33/52 | 0.9628 | 0.133 0.013 | 4.921 0.774 | 0.097 0.016 | 10.430 7.851 | 0.760 | 3.48/46 | 1.0000 |
| 200 | full | 0.111 0.003 | 5.033 0.353 | 3.96/25 | 1.0000 | 0.107 0.004 | 4.830 0.641 | 0.197 0.054 | 15.400 12.430 | 0.900 | 4.59/26 | 1.0000 |
| 540 | 0.5 | 0.397 0.005 | 0.682 0.033 | 26.90/20 | 0.1381 | 0.490 0.029 | 0.674 0.074 | 0.407 0.019 | 5.363 1.598 | 0.810 | 21.29/18 | 0.2650 |
| 540 | 1.5 | 0.162 0.002 | 1.387 0.049 | 17.22/26 | 0.0370 | 0.224 0.012 | 1.504 0.109 | 0.155 0.006 | 5.071 1.088 | 0.700 | 11.04/24 | 0.9887 |
| 540 | 3.0 | 0.097 0.001 | 2.308 0.055 | 176.40/28 | 0.0001 | 0.089 0.003 | 3.070 0.389 | 0.158 0.008 | 2.794 0.205 | 0.640 | 21.29/23 | 0.5634 |
| 540 | 5.0 | 0.080 0.001 | 3.489 0.069 | 69.33/33 | 0.0002 | 0.081 0.001 | 7.072 0.566 | 0.126 0.005 | 3.579 0.165 | 0.580 | 48.50/31 | 0.0236 |
| 540 | full | 0.079 0.001 | 4.088 0.094 | 59.83/49 | 0.0226 | 0.079 0.002 | 5.932 0.649 | 0.116 0.012 | 3.633 0.345 | 0.730 | 58.97/47 | 0.1130 |
| 900 | 0.5 | 0.327 0.008 | 0.616 0.063 | 10.16/20 | 0.9652 | 0.431 0.033 | 0.798 0.116 | 0.284 0.041 | 4.561 2.874 | 0.845 | 5.13/18 | 0.9986 |
| 900 | 1.5 | 0.129 0.003 | 1.083 0.087 | 35.85/46 | 0.8593 | 0.191 0.007 | 1.834 0.155 | 0.127 0.011 | 12.530 3.698 | 0.841 | 5.77/44 | 1.0000 |
| 900 | 3.0 | 0.076 0.002 | 1.834 0.103 | 59.90/71 | 0.8234 | 0.129 0.005 | 3.256 0.274 | 0.075 0.004 | 10.320 2.117 | 0.725 | 8.01/69 | 1.0000 |
| 900 | 5.0 | 0.063 0.001 | 3.226 0.125 | 89.95/95 | 0.6272 | 0.104 0.004 | 5.355 0.492 | 0.057 0.003 | 10.370 2.132 | 0.660 | 17.98/93 | 1.0000 |
| 900 | full | 0.063 0.001 | 4.043 0.195 | 67.16/47 | 0.0283 | 0.101 0.003 | 7.852 0.618 | 0.061 0.003 | 18.170 3.879 | 0.710 | 13.46/45 | 1.0000 |
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