Research Article

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

Table 2

Values of intercepts, slopes, and /dof corresponding to the lines in Figures 611.

FigureTypeInterceptSlope/dof

Figure 6(a)Prompt (no polarisation)0.513 ± 0.0010.012 ± 0.0010.001
from (no polarisation)0.456 ± 0.0210.047 ± 0.0060.003
Prompt (transverse polarisation)0.496 ± 0.0350.049 ± 0.0110.007
Prompt (longitudinal polarisation)0.819 ± 0.065−0.060 ± 0.0200.030

Figure 6(b)Prompt 0.900 ± 0.045−0.015 ± 0.0140.013
from 0.625 ± 0.1350.045 ± 0.0410.139

Figure 6(c)0.916 ± 0.142−0.051 ± 0.0430.053
0.553 ± 0.0850.003 ± 0.0250.025
0.741 ± 0.200−0.036 ± 0.0600.111

Figure 6(d)Prompt 0.737 ± 0.0400.036 ± 0.0140.008
from 0.691 ± 0.1100.042 ± 0.0390.051

Figure 6(e)Inclusive0.785 ± 0.1430.001 ± 0.0030.344

Figure 7(a)Prompt (no polarisation)1.200 ± 0.049−0.076 ± 0.0150.007
from (no polarisation)1.067 ± 0.1440.035 ± 0.0430.054
Prompt (transverse polarisation)1.301 ± 0.163−0.089 ± 0.0490.070
Prompt (longitudinal polarisation)1.219 ± 0.110−0.068 ± 0.0330.047

Figure 7(b)Prompt 1.342 ± 0.041−0.068 ± 0.0120.008
from 1.429 ± 0.112−0.045 ± 0.0340.034

Figure 7(c)3.219 ± 0.128−0.272 ± 0.0390.028
2.658 ± 0.3150.003 ± 0.0950.087
3.890 ± 0.670−0.296 ± 0.2020.449

Figure 7(d)Prompt 1.428 ± 0.080−0.051 ± 0.0280.021
from 1.853 ± 0.144−0.165 ± 0.0510.075

Figure 7(e)Inclusive0.937 ± 0.0200.001 ± 0.0010.008

Figure 8(a)Prompt (no polarisation)1.898 ± 0.054−0.140 ± 0.0160.007
from (no polarisation)2.552 ± 0.119−0.247 ± 0.0360.025
Prompt (transverse polarisation)1.938 ± 0.116−0.148 ± 0.0350.031
Prompt (longitudinal polarisation)2.039 ± 0.096−0.173 ± 0.0290.025

Figure 8(b)Prompt 2.485 ± 0.142−0.221 ± 0.0430.026
from 2.842 ± 0.227−0.219 ± 0.0680.036

Figure 8(c)3.697 ± 0.191−0.313 ± 0.0570.025
2.884 ± 0.8580.090 ± 0.2580.511
3.574 ± 0.229−0.014 ± 0.0690.022

Figure 8(d)Prompt 2.269 ± 0.151−0.250 ± 0.0530.027
from 1.958 ± 0.4420.083 ± 0.1560.180

Figure 8(e)Inclusive0.985 ± 0.0920.004 ± 0.0020.062

Figure 9(a)Prompt (no polarisation)0.785 ± 0.0090.011 ± 0.0030.001
from (no polarisation)0.850 ± 0.096−0.038 ± 0.0290.132
Prompt (transverse polarisation)0.841 ± 0.087−0.005 ± 0.0260.108
Prompt (longitudinal polarisation)0.774 ± 0.0470.013 ± 0.0140.025

Figure 9(b)Prompt 0.780 ± 0.0270.021 ± 0.0080.005
from 0.643 ± 0.0410.042 ± 0.0120.015

Figure 9(c)0.479 ± 0.0270.017 ± 0.0080.007
0.526 ± 0.041−0.001 ± 0.0120.016
0.472 ± 0.100−0.005 ± 0.0300.106

Figure 9(d)Prompt 0.642 ± 0.0160.025 ± 0.0060.003
from 0.399 ± 0.0400.071 ± 0.0140.017

Figure 9(e)Inclusive0.559 ± 0.023−0.001 ± 0.0010.031

Figure 10(a)Prompt (no polarisation)13.254 ± 0.305−0.638 ± 0.0920.002
from (no polarisation)18.725 ± 2.440−1.540 ± 0.7330.037
Prompt (transverse polarisation)15.070 ± 1.188−1.160 ± 0.3570.012
Prompt (longitudinal polarisation)14.940 ± 1.750−1.040 ± 0.5260.021

Figure 10(b)Prompt 13.945 ± 0.703−0.420 ± 0.2110.004
from 17.145 ± 0.616−0.740 ± 0.1850.002

Figure 10(c)37.600 ± 4.512−2.400 ± 1.3570.042
30.750 ± 11.6132.600 ± 3.4910.137
52.050 ± 11.186−4.200 ± 3.3630.130

Figure 10(d)Prompt 14.765 ± 0.803−0.840 ± 0.2830.007
from 13.490 ± 0.227−0.440 ± 0.0800.001

Figure 10(e)Inclusive5.037 ± 0.2470.013 ± 0.0060.111

Figure 11(a)Prompt (no polarisation)71.714 ± 2.053−7.720 ± 0.6170.007
from (no polarisation)103.035 ± 12.805−13.820 ± 3.8500.110
Prompt (transverse polarisation)74.840 ± 9.489−8.720 ± 2.8530.107
Prompt (longitudinal polarisation)65.250 ± 7.664−5.800 ± 2.3040.075

Figure 11(b)Prompt 73.075 ± 7.290−6.060 ± 2.1920.053
from 93.040 ± 4.414−7.680 ± 1.3270.012

Figure 11(c)179.150 ± 8.275−20.600 ± 2.4880.019
118.100 ± 41.5008.400 ± 12.4770.185
204.000 ± 35.512−12.000 ± 10.6770.121

Figure 11(d)Prompt 62.695 ± 3.633−4.820 ± 1.2800.019
from 66.250 ± 2.734−4.280 ± 0.9630.011

Figure 11(e)Inclusive16.785 ± 0.3740.047 ± 0.0090.005