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