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
6–
11.
| Figure | Type | Intercept | Slope | /dof |
| Figure 6(a) | Prompt (no polarisation) | 0.513 ± 0.001 | 0.012 ± 0.001 | 0.001 | from (no polarisation) | 0.456 ± 0.021 | 0.047 ± 0.006 | 0.003 | Prompt (transverse polarisation) | 0.496 ± 0.035 | 0.049 ± 0.011 | 0.007 | Prompt (longitudinal polarisation) | 0.819 ± 0.065 | −0.060 ± 0.020 | 0.030 |
| Figure 6(b) | Prompt | 0.900 ± 0.045 | −0.015 ± 0.014 | 0.013 | from | 0.625 ± 0.135 | 0.045 ± 0.041 | 0.139 |
| Figure 6(c) | | 0.916 ± 0.142 | −0.051 ± 0.043 | 0.053 | | 0.553 ± 0.085 | 0.003 ± 0.025 | 0.025 | | 0.741 ± 0.200 | −0.036 ± 0.060 | 0.111 |
| Figure 6(d) | Prompt | 0.737 ± 0.040 | 0.036 ± 0.014 | 0.008 | from | 0.691 ± 0.110 | 0.042 ± 0.039 | 0.051 |
| Figure 6(e) | Inclusive | 0.785 ± 0.143 | 0.001 ± 0.003 | 0.344 |
| Figure 7(a) | Prompt (no polarisation) | 1.200 ± 0.049 | −0.076 ± 0.015 | 0.007 | from (no polarisation) | 1.067 ± 0.144 | 0.035 ± 0.043 | 0.054 | Prompt (transverse polarisation) | 1.301 ± 0.163 | −0.089 ± 0.049 | 0.070 | Prompt (longitudinal polarisation) | 1.219 ± 0.110 | −0.068 ± 0.033 | 0.047 |
| Figure 7(b) | Prompt | 1.342 ± 0.041 | −0.068 ± 0.012 | 0.008 | from | 1.429 ± 0.112 | −0.045 ± 0.034 | 0.034 |
| Figure 7(c) | | 3.219 ± 0.128 | −0.272 ± 0.039 | 0.028 | | 2.658 ± 0.315 | 0.003 ± 0.095 | 0.087 | | 3.890 ± 0.670 | −0.296 ± 0.202 | 0.449 |
| Figure 7(d) | Prompt | 1.428 ± 0.080 | −0.051 ± 0.028 | 0.021 | from | 1.853 ± 0.144 | −0.165 ± 0.051 | 0.075 |
| Figure 7(e) | Inclusive | 0.937 ± 0.020 | 0.001 ± 0.001 | 0.008 |
| Figure 8(a) | Prompt (no polarisation) | 1.898 ± 0.054 | −0.140 ± 0.016 | 0.007 | from (no polarisation) | 2.552 ± 0.119 | −0.247 ± 0.036 | 0.025 | Prompt (transverse polarisation) | 1.938 ± 0.116 | −0.148 ± 0.035 | 0.031 | Prompt (longitudinal polarisation) | 2.039 ± 0.096 | −0.173 ± 0.029 | 0.025 |
| Figure 8(b) | Prompt | 2.485 ± 0.142 | −0.221 ± 0.043 | 0.026 | from | 2.842 ± 0.227 | −0.219 ± 0.068 | 0.036 |
| Figure 8(c) | | 3.697 ± 0.191 | −0.313 ± 0.057 | 0.025 | | 2.884 ± 0.858 | 0.090 ± 0.258 | 0.511 | | 3.574 ± 0.229 | −0.014 ± 0.069 | 0.022 |
| Figure 8(d) | Prompt | 2.269 ± 0.151 | −0.250 ± 0.053 | 0.027 | from | 1.958 ± 0.442 | 0.083 ± 0.156 | 0.180 |
| Figure 8(e) | Inclusive | 0.985 ± 0.092 | 0.004 ± 0.002 | 0.062 |
| Figure 9(a) | Prompt (no polarisation) | 0.785 ± 0.009 | 0.011 ± 0.003 | 0.001 | from (no polarisation) | 0.850 ± 0.096 | −0.038 ± 0.029 | 0.132 | Prompt (transverse polarisation) | 0.841 ± 0.087 | −0.005 ± 0.026 | 0.108 | Prompt (longitudinal polarisation) | 0.774 ± 0.047 | 0.013 ± 0.014 | 0.025 |
| Figure 9(b) | Prompt | 0.780 ± 0.027 | 0.021 ± 0.008 | 0.005 | from | 0.643 ± 0.041 | 0.042 ± 0.012 | 0.015 |
| Figure 9(c) | | 0.479 ± 0.027 | 0.017 ± 0.008 | 0.007 | | 0.526 ± 0.041 | −0.001 ± 0.012 | 0.016 | | 0.472 ± 0.100 | −0.005 ± 0.030 | 0.106 |
| Figure 9(d) | Prompt | 0.642 ± 0.016 | 0.025 ± 0.006 | 0.003 | from | 0.399 ± 0.040 | 0.071 ± 0.014 | 0.017 |
| Figure 9(e) | Inclusive | 0.559 ± 0.023 | −0.001 ± 0.001 | 0.031 |
| Figure 10(a) | Prompt (no polarisation) | 13.254 ± 0.305 | −0.638 ± 0.092 | 0.002 | from (no polarisation) | 18.725 ± 2.440 | −1.540 ± 0.733 | 0.037 | Prompt (transverse polarisation) | 15.070 ± 1.188 | −1.160 ± 0.357 | 0.012 | Prompt (longitudinal polarisation) | 14.940 ± 1.750 | −1.040 ± 0.526 | 0.021 |
| Figure 10(b) | Prompt | 13.945 ± 0.703 | −0.420 ± 0.211 | 0.004 | from | 17.145 ± 0.616 | −0.740 ± 0.185 | 0.002 |
| Figure 10(c) | | 37.600 ± 4.512 | −2.400 ± 1.357 | 0.042 | | 30.750 ± 11.613 | 2.600 ± 3.491 | 0.137 | | 52.050 ± 11.186 | −4.200 ± 3.363 | 0.130 |
| Figure 10(d) | Prompt | 14.765 ± 0.803 | −0.840 ± 0.283 | 0.007 | from | 13.490 ± 0.227 | −0.440 ± 0.080 | 0.001 |
| Figure 10(e) | Inclusive | 5.037 ± 0.247 | 0.013 ± 0.006 | 0.111 |
| Figure 11(a) | Prompt (no polarisation) | 71.714 ± 2.053 | −7.720 ± 0.617 | 0.007 | from (no polarisation) | 103.035 ± 12.805 | −13.820 ± 3.850 | 0.110 | Prompt (transverse polarisation) | 74.840 ± 9.489 | −8.720 ± 2.853 | 0.107 | Prompt (longitudinal polarisation) | 65.250 ± 7.664 | −5.800 ± 2.304 | 0.075 |
| Figure 11(b) | Prompt | 73.075 ± 7.290 | −6.060 ± 2.192 | 0.053 | from | 93.040 ± 4.414 | −7.680 ± 1.327 | 0.012 |
| Figure 11(c) | | 179.150 ± 8.275 | −20.600 ± 2.488 | 0.019 | | 118.100 ± 41.500 | 8.400 ± 12.477 | 0.185 | | 204.000 ± 35.512 | −12.000 ± 10.677 | 0.121 |
| Figure 11(d) | Prompt | 62.695 ± 3.633 | −4.820 ± 1.280 | 0.019 | from | 66.250 ± 2.734 | −4.280 ± 0.963 | 0.011 |
| Figure 11(e) | Inclusive | 16.785 ± 0.374 | 0.047 ± 0.009 | 0.005 |
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