Advances in High Energy Physics / 2018 / Article / Tab 3

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

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