Comparing Erlang Distribution and Schwinger Mechanism on Transverse Momentum Spectra in High Energy Collisions

Table 1

Values of parameters and /dof corresponding to the curves in Figures 1–5.

Figure	Type	Two-component Erlang				Two-component Schwinger
			(GeV/c)	(GeV/c)	/dof		(GeV/fm)	(GeV/fm)	/dof
Figure 1(a)	2.0 < y < 2.5	0.540 ± 0.062	1.008 ± 0.132	1.553 ± 0.086	0.519	0.813 ± 0.027	11.70 ± 0.88	54.30 ± 3.67	1.814
	2.5 < y < 3.0	0.545 ± 0.083	1.008 ± 0.107	1.533 ± 0.082	0.846	0.810 ± 0.023	11.50 ± 1.20	50.00 ± 3.32	2.318
	3.0 < y < 3.5	0.552 ± 0.102	0.978 ± 0.124	1.473 ± 0.078	0.775	0.817 ± 0.029	11.42 ± 1.24	47.82 ± 3.98	1.882
	3.5 < y < 4.0	0.557 ± 0.096	0.887 ± 0.093	1.373 ± 0.070	0.927	0.830 ± 0.020	10.85 ± 1.10	44.00 ± 3.82	0.544
	4.0 < y < 4.5	0.564 ± 0.093	0.878 ± 0.120	1.283 ± 0.100	0.913	0.830 ± 0.020	10.43 ± 1.12	38.00 ± 4.23	0.256
Figure 1(b)	2.0 < y < 2.5	0.563 ± 0.084	1.183 ± 0.087	1.957 ± 0.094	0.226	0.713 ± 0.023	13.80 ± 3.12	65.00 ± 7.40	0.880
	2.5 < y < 3.0	0.582 ± 0.063	1.120 ± 0.093	1.886 ± 0.112	0.940	0.778 ± 0.032	15.90 ± 3.78	69.50 ± 7.90	0.492
	3.0 < y < 3.5	0.605 ± 0.078	1.118 ± 0.100	1.838 ± 0.098	0.922	0.786 ± 0.037	14.60 ± 3.65	66.00 ± 7.50	0.474
	3.5 < y < 4.0	0.650 ± 0.068	1.300 ± 0.092	1.570 ± 0.087	0.571	0.700 ± 0.028	12.80 ± 3.07	49.80 ± 6.80	0.291
	4.0 < y < 4.5	0.647 ± 0.100	1.180 ± 0.140	1.498 ± 0.153	0.105	0.657 ± 0.023	11.50 ± 3.05	40.30 ± 6.30	0.218
Figure 1(c)	2.0 < y < 2.5	0.610 ± 0.077	1.180 ± 0.093	1.538 ± 0.102	0.738	0.785 ± 0.025	11.90 ± 2.75	50.00 ± 5.90	2.545
	2.5 < y < 3.0	0.640 ± 0.080	1.008 ± 0.100	1.580 ± 0.087	0.705	0.860 ± 0.036	12.80 ± 2.93	55.00 ± 6.30	1.255
	3.0 < y < 3.5	0.650 ± 0.065	0.953 ± 0.127	1.500 ± 0.076	0.711	0.853 ± 0.032	11.00 ± 2.67	49.30 ± 6.10	1.353
	3.5 < y < 4.0	0.656 ± 0.072	0.902 ± 0.118	1.404 ± 0.092	1.049	0.855 ± 0.027	10.80 ± 2.70	45.00 ± 5.70	0.523
	4.0 < y < 4.5	0.725 ± 0.082	1.010 ± 0.120	1.255 ± 0.085	0.707	0.776 ± 0.023	10.00 ± 2.63	33.20 ± 5.20	0.708
Figure 1(d)	2.0 < y < 2.5	0.715 ± 0.062	1.120 ± 0.140	1.603 ± 0.117	0.842	0.793 ± 0.038	12.00 ± 3.80	50.00 ± 5.60	2.816
	2.5 < y < 3.0	0.640 ± 0.074	1.008 ± 0.093	1.580 ± 0.082	1.171	0.796 ± 0.043	12.00 ± 4.20	48.00 ± 5.80	4.194
	3.0 < y < 3.5	0.596 ± 0.054	0.947 ± 0.073	1.530 ± 0.078	1.108	0.847 ± 0.032	13.00 ± 3.60	52.00 ± 5.20	0.789
	3.5 < y < 4.0	0.570 ± 0.067	0.930 ± 0.056	1.413 ± 0.060	1.147	0.835 ± 0.034	10.80 ± 3.20	45.00 ± 5.10	0.486
	4.0 < y < 4.5	0.600 ± 0.085	0.990 ± 0.065	1.253 ± 0.067	1.051	0.805 ± 0.027	10.00 ± 3.10	37.00 ± 4.70	0.268
Figure 2(a)	2.0 < y < 2.5	0.870 ± 0.064	1.200 ± 0.058	1.950 ± 0.117	1.196	0.823 ± 0.043	13.00 ± 3.57	57.80 ± 6.40	1.478
	2.5 < y < 3.0	0.837 ± 0.053	1.137 ± 0.053	1.852 ± 0.130	1.114	0.830 ± 0.057	12.50 ± 3.05	56.00 ± 6.10	1.880
	3.0 < y < 3.5	0.883 ± 0.057	1.145 ± 0.055	1.868 ± 0.132	0.982	0.858 ± 0.068	12.80 ± 3.12	54.80 ± 6.10	1.930
	3.5 < y < 4.0	0.825 ± 0.045	1.068 ± 0.062	1.693 ± 0.127	1.118	0.873 ± 0.057	12.80 ± 3.07	55.30 ± 6.20	2.041
	4.0 < y < 4.5	0.838 ± 0.065	1.066 ± 0.057	1.478 ± 0.142	1.192	0.853 ± 0.047	11.80 ± 2.98	43.00 ± 5.90	3.430
Figure 2(b)	2.0 < y < 2.5	0.788 ± 0.063	1.372 ± 0.087	2.420 ± 0.190	1.545	0.757 ± 0.047	15.60 ± 3.87	75.50 ± 8.20	0.763
	2.5 < y < 3.0	0.644 ± 0.056	1.218 ± 0.092	2.080 ± 0.217	1.787	0.725 ± 0.045	14.70 ± 3.73	70.00 ± 7.50	1.226
	3.0 < y < 3.5	0.795 ± 0.078	1.300 ± 0.085	2.183 ± 0.204	1.279	0.782 ± 0.053	15.00 ± 3.75	70.60 ± 7.70	0.831
	3.5 < y < 4.0	0.827 ± 0.053	1.295 ± 0.075	2.120 ± 0.185	1.363	0.803 ± 0.049	14.60 ± 3.65	66.00 ± 7.30	1.065
	4.0 < y < 4.5	0.810 ± 0.057	1.220 ± 0.083	1.853 ± 0.177	1.733	0.822 ± 0.052	13.80 ± 3.58	58.30 ± 7.10	1.342
Figure 3(a)	2.0 < y < 2.5	0.802 ± 0.188	2.560 ± 0.087	3.030 ± 0.190	0.945	0.510 ± 0.047	30.00 ± 4.80	132.00 ± 12.00	0.230
	2.5 < y < 3.0	0.830 ± 0.155	2.490 ± 0.073	2.740 ± 0.178	1.523	0.524 ± 0.053	32.00 ± 4.80	120.00 ± 11.70	0.268
	3.0 < y < 3.5	0.705 ± 0.165	2.360 ± 0.077	2.687 ± 0.173	1.653	0.553 ± 0.057	33.00 ± 5.20	115.00 ± 11.30	0.303
	3.5 < y < 4.0	0.635 ± 0.157	2.276 ± 0.084	2.652 ± 0.168	1.099	0.527 ± 0.050	28.00 ± 4.00	107.00 ± 10.80	0.307
	4.0 < y < 4.5	0.771 ± 0.169	1.987 ± 0.078	2.292 ± 0.153	8.640	0.550 ± 0.064	26.00 ± 3.80	87.00 ± 10.10	4.617
Figure 3(b)	2.0 < y < 2.5	0.513 ± 0.137	2.836 ± 0.134	2.900 ± 0.157	2.844	0.530 ± 0.057	42.00 ± 7.60	140.00 ± 22.00	1.192
	2.5 < y < 3.0	0.614 ± 0.156	2.463 ± 0.129	3.537 ± 0.123	1.791	0.517 ± 0.052	36.00 ± 7.30	145.00 ± 25.00	0.732
	3.0 < y < 3.5	0.570 ± 0.135	2.675 ± 0.135	3.238 ± 0.137	1.715	0.503 ± 0.049	33.00 ± 7.30	150.00 ± 25.00	0.726
	3.5 < y < 4.0	0.587 ± 0.143	2.587 ± 0.138	2.620 ± 0.145	3.942	0.552 ± 0.062	37.00 ± 7.5	117.00 ± 20.00	2.540
	4.0 < y < 4.5	0.535 ± 0.195	2.782 ± 0.128	3.583 ± 0.237	1.970	0.510 ± 0.054	48.00 ± 7.80	175.00 ± 29.00	2.163
Figure 3(c)	2.0 < y < 2.5	0.555 ± 0.148	3.342 ± 0.145	3.583 ± 0.207	4.141	0.447 ± 0.078	43.00 ± 9.00	185.00 ± 28.00	3.373
	2.5 < y < 3.0	0.783 ± 0.187	3.107 ± 0.137	3.506 ± 0.198	2.554	0.493 ± 0.059	45.00 ± 7.00	180.00 ± 21.00	1.594
	3.0 < y < 3.5	0.603 ± 0.152	2.886 ± 0.132	3.583 ± 0.212	3.949	0.402 ± 0.062	34.00 ± 8.00	140.00 ± 19.00	2.585
	3.5 < y < 4.0	0.647 ± 0.160	2.285 ± 0.107	3.350 ± 0.205	13.242	0.516 ± 0.057	30.00 ± 7.50	150.00 ± 20.00	8.291
	4.0 < y < 4.5	0.533 ± 0.133	3.012 ± 0.153	3.627 ± 0.223	11.216	0.423 ± 0.083	40.00 ± 10.70	170.00 ± 25.00	11.114
Figure 4(a)	1.5 < y < 2.0	0.797 ± 0.133	1.285 ± 0.105	1.768 ± 0.242	3.624	0.687 ± 0.076	12.60 ± 3.25	52.00 ± 5.70	0.472
	2.0 < y < 2.5	0.802 ± 0.148	1.356 ± 0.094	1.752 ± 0.216	2.201	0.692 ± 0.052	13.10 ± 3.30	53.10 ± 5.80	0.614
	2.5 < y < 3.0	0.873 ± 0.097	1.322 ± 0.108	1.687 ± 0.198	2.842	0.708 ± 0.067	12.40 ± 3.23	52.10 ± 5.80	0.243
	3.0 < y < 3.5	0.835 ± 0.085	1.280 ± 0.107	1.352 ± 0.255	3.825	0.737 ± 0.054	12.00 ± 3.05	47.00 ± 5.40	0.989
	3.5 < y < 4.0	0.870 ± 0.090	1.195 ± 0.095	1.342 ± 0.188	3.814	0.726 ± 0.054	10.80 ± 3.10	43.00 ± 5.20	1.383
Figure 4(b)	1.5 < y < 2.0	0.812 ± 0.158	1.656 ± 0.084	1.830 ± 0.190	0.918	0.518 ± 0.065	12.60 ± 3.70	57.50 ± 5.50	1.921
	2.0 < y < 2.5	0.684 ± 0.136	1.363 ± 0.082	2.497 ± 0.203	1.309	0.543 ± 0.060	12.60 ± 3.57	57.60 ± 5.80	1.807
	2.5 < y < 3.0	0.850 ± 0.107	1.405 ± 0.078	2.293 ± 0.238	4.805	0.634 ± 0.067	12.30 ± 3.42	56.40 ± 5.30	1.401
	3.0 < y < 3.5	0.847 ± 0.123	1.285 ± 0.080	2.050 ± 0.255	9.194	0.620 ± 0.070	12.20 ± 3.37	50.60 ± 5.00	2.658
	3.5 < y < 4.0	0.835 ± 0.130	1.282 ± 0.065	2.261 ± 0.273	9.018	0.657 ± 0.065	11.70 ± 3.15	50.30 ± 5.10	4.329
Figure 5	= 0–20%	0.702 ± 0.158	0.937 ± 0.060	0.960 ± 0.195	0.778	0.567 ± 0.063	5.00 ± 0.170	17.00 ± 2.30	0.012
	= 20–40%	0.982 ± 0.113	1.000 ± 0.102	1.200 ± 0.227	1.038	0.512 ± 0.055	5.70 ± 0.183	18.60 ± 3.10	1.428
	= 40–60%	0.823 ± 0.083	1.020 ± 0.087	1.200 ± 0.253	1.163	0.518 ± 0.047	5.80 ± 0.180	19.40 ± 3.42	1.274