Advances in High Energy Physics

Research Article

Charged-Particle Multiplicity Moments as Described by Shifted Gompertz Distribution in , , and Collisions at High Energies

Table 3

Moments of experimental, shifted Gompertz and modified shifted Gompertz distributions for collisions.


Energy (GeV) ()			Normalized moments (experiment)				Normalized factorial moments (experiment)
Energy (GeV) ()

900	0.5	4.426 ± 0.084	1.582 ± 0.036	3.386 ± 0.152	8.893 ± 0.592	27.013 ± 2.387	1.356 ± 0.032	2.416 ± 0.113	5.122 ± 0.356	12.119 ± 1.125
	1.0	8.059 ± 0.121	1.570 ± 0.029	3.272 ± 0.117	8.229 ± 0.432	23.642 ± 1.636	1.446 ± 0.027	2.719 ± 0.099	6.047 ± 0.324	15.050 ± 1.064
	1.5	11.744 ± 0.151	1.538 ± 0.024	3.092 ± 0.094	7.413 ± 0.331	20.116 ± 1.188	1.453 ± 0.023	2.714 ± 0.083	5.952 ± 0.269	14.542 ± 0.874
	2.0	15.507 ± 0.183	1.504 ± 0.022	2.912 ± 0.080	6.659 ± 0.270	17.095 ± 0.914	1.440 ± 0.021	2.630 ± 0.073	5.599 ± 0.229	13.205 ± 0.714
	2.4	18.432 ± 0.211	1.474 ± 0.020	2.759 ± 0.073	6.042 ± 0.235	14.748 ± 0.755	1.420 ± 0.020	2.525 ± 0.067	5.190 ± 0.203	11.742 ± 0.607

2360	0.5	5.289 ± 0.095	1.585 ± 0.034	3.334 ± 0.138	8.443 ± 0.521	24.490 ± 2.041	1.396 ± 0.031	2.507 ± 0.107	5.243 ± 0.337	12.194 ± 1.086
	1.0	9.722 ± 0.144	1.565 ± 0.027	3.185 ± 0.106	7.689 ± 0.383	21.099 ± 1.426	1.463 ± 0.026	2.723 ± 0.092	5.900 ± 0.300	14.287 ± 0.998
	1.5	13.968 ± 0.196	1.523 ± 0.025	2.956 ± 0.093	6.738 ± 0.316	17.392 ± 1.114	1.451 ± 0.024	2.640 ± 0.084	5.552 ± 0.264	13.072 ± 0.858
	2.0	18.323 ± 0.251	1.490 ± 0.023	2.806 ± 0.085	6.177 ± 0.282	15.347 ± 0.955	1.435 ± 0.023	2.568 ± 0.079	5.306 ± 0.245	12.256 ± 0.776
	2.4	21.696 ± 0.298	1.471 ± 0.023	2.736 ± 0.084	6.008 ± 0.280	15.092 ± 0.973	1.425 ± 0.022	2.537 ± 0.078	5.285 ± 0.249	12.518 ± 0.823

7000	0.5	6.924 ± 0.077	1.732 ± 0.026	4.159 ± 0.114	12.245 ± 0.486	41.444 ± 2.156	1.588 ± 0.024	3.450 ± 0.097	9.020 ± 0.366	26.546 ± 1.413
	1.0	13.122 ± 0.118	1.705 ± 0.021	3.945 ± 0.088	11.020 ± 0.353	35.044 ± 1.461	1.629 ± 0.020	3.567 ± 0.081	9.323 ± 0.301	27.410 ± 1.154
	1.5	19.421 ± 0.154	1.669 ± 0.018	3.725 ± 0.073	9.946 ± 0.279	30.027 ± 1.094	1.617 ± 0.018	3.472 ± 0.069	8.843 ± 0.249	25.240 ± 0.926
	2.0	25.870 ± 0.188	1.640 ± 0.016	3.562 ± 0.064	9.187 ± 0.234	26.573 ± 0.879	1.601 ± 0.016	3.375 ± 0.061	8.388 ± 0.215	23.203 ± 0.771
	2.4	30.790 ± 0.213	1.616 ± 0.015	3.433 ± 0.059	8.613 ± 0.209	24.169 ± 0.760	1.584 ± 0.015	3.277 ± 0.056	7.963 ± 0.194	21.495 ± 0.678

Energy (GeV) ()			Normalized moments (shifted Gompertz)				Normalized factorial moments (shifted Gompertz)
Energy (GeV) ()

900	0.5	4.433 ± 0.033	1.571 ± 0.017	3.348 ± 0.065	8.804 ± 0.245	26.927 ± 0.973	1.345 ± 0.015	2.387 ± 0.048	5.083 ± 0.146	12.190 ± 0.453
	1.0	8.099 ± 0.038	1.522 ± 0.010	3.056 ± 0.038	7.474 ± 0.132	21.215 ± 0.482	1.399 ± 0.010	2.522 ± 0.032	5.455 ± 0.097	13.480 ± 0.310
	1.5	11.768 ± 0.038	1.521 ± 0.007	3.019 ± 0.025	7.213 ± 0.086	19.783 ± 0.307	1.437 ± 0.007	2.645 ± 0.022	5.791 ± 0.070	14.371 ± 0.226
	2.0	15.536 ± 0.040	1.499 ± 0.005	2.887 ± 0.019	6.604 ± 0.062	17.122 ± 0.209	1.435 ± 0.005	2.606 ± 0.017	5.556 ± 0.052	13.271 ± 0.163
	2.4	18.445 ± 0.043	1.470 ± 0.004	2.737 ± 0.016	5.996 ± 0.049	14.790 ± 0.159	1.416 ± 0.004	2.504 ± 0.014	5.152 ± 0.043	11.810 ± 0.128

2360	0.5	5.275 ± 0.035	1.580 ± 0.015	3.318 ± 0.056	8.439 ± 0.206	24.846 ± 0.798	1.390 ± 0.013	2.491 ± 0.043	5.249 ± 0.132	12.514 ± 0.422
	1.0	9.608 ± 0.040	1.570 ± 0.009	3.206 ± 0.034	7.845 ± 0.119	22.148 ± 0.447	1.466 ± 0.008	2.738 ± 0.029	6.023 ± 0.093	15.112 ± 0.314
	1.5	13.762 ± 0.045	1.536 ± 0.007	3.013 ± 0.024	7.000 ± 0.082	18.718 ± 0.297	1.464 ± 0.006	2.688 ± 0.022	5.774 ± 0.069	14.160 ± 0.231
	2.0	17.994 ± 0.051	1.512 ± 0.005	2.884 ± 0.020	6.472 ± 0.065	16.550 ± 0.224	1.456 ± 0.005	2.639 ± 0.018	5.560 ± 0.056	13.253 ± 0.183
	2.4	21.374 ± 0.055	1.486 ± 0.005	2.795 ± 0.017	6.276 ± 0.058	16.423 ± 0.207	1.439 ± 0.005	2.591 ± 0.016	5.527 ± 0.052	13.694 ± 0.176

7000	0.5	7.178 ± 0.028	1.652 ± 0.010	3.749 ± 0.040	10.568 ± 0.158	34.861 ± 0.668	1.513 ± 0.009	3.098 ± 0.034	7.771 ± 0.118	22.472 ± 0.435
	1.0	13.744 ± 0.032	1.615 ± 0.006	3.488 ± 0.022	9.202 ± 0.082	28.179 ± 0.321	1.542 ± 0.006	3.146 ± 0.020	7.771 ± 0.070	22.099 ± 0.253
	1.5	20.066 ± 0.034	1.609 ± 0.004	3.426 ± 0.016	8.811 ± 0.056	26.028 ± 0.213	1.560 ± 0.004	3.191 ± 0.015	7.829 ± 0.050	21.925 ± 0.180
	2.0	25.909 ± 0.034	1.642 ± 0.003	3.559 ± 0.012	9.216 ± 0.045	27.029 ± 0.169	1.604 ± 0.003	3.371 ± 0.012	8.419 ± 0.041	23.653 ± 0.148
	2.4	30.658 ± 0.034	1.628 ± 0.003	3.471 ± 0.010	8.794 ± 0.037	25.165 ± 0.136	1.596 ± 0.003	3.313 ± 0.010	8.134 ± 0.034	22.423 ± 0.122

Energy (GeV) ()			Normalized moments (modified shifted Gompertz)				Normalized factorial moments (modified shifted Gompertz)
Energy (GeV) ()

900	0.5	4.423 ± 0.046	1.579 ± 0.024	3.376 ± 0.094	8.878 ± 0.352	27.104 ± 1.379	1.353 ± 0.022	2.407 ± 0.069	5.117 ± 0.207	12.219 ± 0.634
	1.0	8.097 ± 0.048	1.534 ± 0.014	3.101 ± 0.049	7.601 ± 0.171	21.522 ± 0.618	1.411 ± 0.013	2.563 ± 0.042	5.549 ± 0.126	13.651 ± 0.395
	1.5	11.784 ± 0.051	1.521 ± 0.010	3.020 ± 0.035	7.199 ± 0.117	19.628 ± 0.410	1.436 ± 0.009	2.647 ± 0.031	5.778 ± 0.095	14.234 ± 0.300
	2.0	15.510 ± 0.054	1.497 ± 0.008	2.891 ± 0.027	6.624 ± 0.087	17.169 ± 0.290	1.433 ± 0.007	2.609 ± 0.024	5.573 ± 0.074	13.299 ± 0.226
	2.4	18.433 ± 0.059	1.465 ± 0.007	2.732 ± 0.023	5.995 ± 0.072	14.792 ± 0.228	1.411 ± 0.007	2.500 ± 0.021	5.152 ± 0.062	11.809 ± 0.183

2360	0.5	5.309 ± 0.050	1.575 ± 0.021	3.290 ± 0.080	8.292 ± 0.292	24.062 ± 1.111	1.386 ± 0.019	2.471 ± 0.062	5.148 ± 0.186	12.032 ± 0.579
	1.0	9.746 ± 0.052	1.554 ± 0.012	3.141 ± 0.044	7.570 ± 0.151	20.928 ± 0.546	1.452 ± 0.011	2.684 ± 0.038	5.810 ± 0.117	14.237 ± 0.380
	1.5	13.978 ± 0.062	1.516 ± 0.009	2.937 ± 0.033	6.711 ± 0.108	17.510 ± 0.374	1.445 ± 0.009	2.622 ± 0.030	5.533 ± 0.090	13.208 ± 0.288
	2.0	18.284 ± 0.069	1.486 ± 0.008	2.797 ± 0.027	6.183 ± 0.085	15.515 ± 0.283	1.431 ± 0.007	2.559 ± 0.025	5.313 ± 0.074	12.414 ± 0.230
	2.4	21.760 ± 0.079	1.463 ± 0.007	2.710 ± 0.024	5.949 ± 0.078	15.039 ± 0.263	1.417 ± 0.007	2.513 ± 0.022	5.235 ± 0.069	12.498 ± 0.221

7000	0.5	6.979 ± 0.035	1.707 ± 0.013	4.024 ± 0.056	11.645 ± 0.226	38.944 ± 0.966	1.564 ± 0.013	3.331 ± 0.047	8.554 ± 0.168	24.908 ± 0.623
	1.0	13.220 ± 0.041	1.677 ± 0.008	3.800 ± 0.033	10.424 ± 0.125	32.771 ± 0.502	1.601 ± 0.008	3.431 ± 0.030	8.802 ± 0.106	25.612 ± 0.394
	1.5	19.665 ± 0.047	1.634 ± 0.006	3.561 ± 0.024	9.316 ± 0.086	27.750 ± 0.324	1.583 ± 0.006	3.317 ± 0.022	8.275 ± 0.076	23.324 ± 0.273
	2.0	25.817 ± 0.048	1.636 ± 0.005	3.547 ± 0.018	9.152 ± 0.065	26.588 ± 0.240	1.597 ± 0.005	3.360 ± 0.017	8.354 ± 0.059	23.225 ± 0.210
	2.4	30.731 ± 0.050	1.612 ± 0.004	3.417 ± 0.015	8.582 ± 0.054	24.209 ± 0.193	1.579 ± 0.004	3.262 ± 0.015	7.934 ± 0.050	21.540 ± 0.172