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Numerical values of HBT parameters

This page contains numbers for the pion correlations from the first STAR HBT paper. They are Coulomb corrected (5 fm Gaussian source assumed), corrected for merging effects ("bad systematic" for STAR-HBT insiders), and corrected for finite-momentum-resolution effects, as discussed in the paper.

Systematic errors are estimated by the size of the merging correction and the effect of varying the source size used in the Coulomb correction by +/- 1 fm.

Below, statistical uncertainties are followed by the systematic ones.

System lambda Rout Rside Rlong
Piminus Mult1 low pT 0.51 +/- 0.02 +/- 0.03 4.40 +/- 0.19 +/- 0.29 4.12 +/- 0.15 +/- 0.20 5.22 +/- 0.22 +/- 0.23
Piminus Mult2 low pT 0.53 +/- 0.02 +/- 0.03 5.34 +/- 0.15 +/- 0.37 5.00 +/- 0.12 +/- 0.24 6.23 +/- 0.17 +/- 0.39
Piminus Mult3 low pT 0.50 +/- 0.01 +/- 0.03 5.86 +/- 0.11 +/- 0.34 5.47 +/- 0.09 +/- 0.27 7.07 +/- 0.12 +/- 0.43
Piminus Mult3 med pT 0.63 +/- 0.02 +/- 0.06 5.39 +/- 0.18 +/- 0.28 5.48 +/- 0.15 +/- 0.30 5.99 +/- 0.19 +/- 0.36
Piminus Mult3 hi pT 0.71 +/- 0.03 +/- 0.08 4.72 +/- 0.19 +/- 0.26 5.28 +/- 0.18 +/- 0.29 5.32 +/- 0.20 +/- 0.34
Piplus Mult1 low pT 0.52 +/- 0.01 +/- 0.03 4.12 +/- 0.15 +/- 0.28 4.04 +/- 0.11 +/- 0.20 5.06 +/- 0.14 +/- 0.23
Piplus Mult2 low pT 0.50 +/- 0.01 +/- 0.03 5.01 +/- 0.15 +/- 0.35 4.79 +/- 0.11 +/- 0.23 6.20 +/- 0.16 +/- 0.39
Piplus Mult3 low pT 0.52 +/- 0.02 +/- 0.03 6.02 +/- 0.15 +/- 0.38 6.00 +/- 0.13 +/- 0.28 6.91 +/- 0.17 +/- 0.42
Piplus Mult3 med pT 0.57 +/- 0.02 +/- 0.05 5.13 +/- 0.18 +/- 0.27 5.19 +/- 0.15 +/- 0.29 5.75 +/- 0.18 +/- 0.35
Piplus Mult3 hi pT 0.63 +/- 0.03 +/- 0.07 4.22 +/- 0.19 +/- 0.24 4.95 +/- 0.18 +/- 0.37 5.60 +/- 0.22 +/- 0.36

pT binning.

The multiplicity and pT cuts are listed in the paper. For plotting purposes, it is often useful to know what is the average pT or mT for singles and low-Q pairs. These are listed here:

  pT=0.125-0.225 pT=0.225-0.325 pT=0.325-0.450
(pT,max-pT,min) /2 0.175 0.275 0.385
<pT>sing 0.1748 0.2732 0.3841
<pT>low-Q pairs 0.1705 0.2700 0.3797
<mT>sing 0.2240 0.3068 0.4087
<mT>low-Q pairs 0.2206 0.3039 0.4045

Due to popular request-- the datapoints from Figure 1

Here are the points for panel (b) (out projection)

qout C error
0.0025 1.24714 0.00338931
0.0075 1.22786 0.00343776
0.0125 1.20086 0.00346823
0.0175 1.17311 0.00351489
0.0225 1.14863 0.00357115
0.0275 1.12611 0.00363355
0.0325 1.09294 0.00368166
0.0375 1.06958 0.00376124
0.0425 1.04134 0.00384399
0.0475 1.02658 0.00397827
0.0525 1.02667 0.00418492
0.0575 1.02018 0.0044034
0.0625 1.01086 0.00465042
0.0675 1.00757 0.00497604
0.0725 1.0182 0.00545909
0.0775 1.00141 0.00593299
0.0825 1.00126 0.00673603
0.0875 1.00402 0.00798422
0.0925 0.996233 0.0101902
0.0975 0.979959 0.0168593

Here are the points for panel (c) (side projection)

qside C error
0.0025 1.22173 0.00394569
0.0075 1.22266 0.00365104
0.0125 1.22388 0.0035886
0.0175 1.19164 0.00350476
0.0225 1.17164 0.00345401
0.0275 1.13559 0.00336341
0.0325 1.10457 0.00328379
0.0375 1.08591 0.00324392
0.0425 1.06601 0.003196
0.0475 1.04659 0.00315052
0.0525 1.03345 0.00311606
0.0575 1.02499 0.00309651
0.0625 1.01892 0.00307963
0.0675 1.01596 0.003068
0.0725 1.00814 0.00304675
0.0775 1.00884 0.00304399
0.0825 1.00941 0.00304142
0.0875 1.00325 0.00302447
0.0925 1.0012 0.00301948
0.0975 1.00006 0.00301166
0.1025 0.99794 0.00300791
0.1075 0.992818 0.00299204
0.1125 0.994254 0.00299586
0.1175 0.998115 0.00300435
0.1225 0.997422 0.00299993
0.1275 0.997442 0.00299368
0.1325 0.996466 0.00299421
0.1375 0.99935 0.00299561
0.1425 1.00173 0.00299627
0.1475 1.00118 0.00298887

Here are the points for panel (d) (long projection)

qlong C error
0.0025 1.25756 0.003817
0.0075 1.26124 0.00366943
0.0125 1.23264 0.00355873
0.0175 1.1859 0.00349043
0.0225 1.14006 0.00342454
0.0275 1.10071 0.00337493
0.0325 1.08131 0.00337438
0.0375 1.05414 0.00335485
0.0425 1.04625 0.00338655
0.0475 1.03699 0.00340569
0.0525 1.02023 0.00341874
0.0575 1.02423 0.00348292
0.0625 1.01136 0.00350495
0.0675 1.00758 0.00354871
0.0725 1.00555 0.00360827
0.0775 1.00994 0.00369175
0.0825 1.00728 0.00374521
0.0875 1.00437 0.00381038
0.0925 1.00303 0.00387523
0.0975 1.00082 0.00394665
0.1025 1.00208 0.00403937
0.1075 1.00407 0.00412774
0.1125 0.995688 0.0042042
0.1175 1.00855 0.00434968
0.1225 1.00179 0.00443754
0.1275 0.996351 0.00451983
0.1325 1.00146 0.0046666
0.1375 0.998471 0.00479323
0.1425 0.994746 0.00492738
0.1475 0.999179 0.00511303
Michael A. Lisa
Last modified: Sat Nov 15 01:39:31 EST 2003