Advances in High Energy Physics / 2018 / Article / Tab 2

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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