{"@context":"http://schema.org","@id":"https://doi.org/10.17182/hepdata.62783.v1","@reverse":{"isBasedOn":[{"@type":"ScholarlyArticle","identifier":{"@type":"PropertyValue","propertyID":"URL","value":"https://inspirehep.net/literature/1233359"}},{"@id":"https://doi.org/10.1007/JHEP11(2013)183","@type":"JournalArticle"}]},"@type":"Dataset","additionalType":"Collection","author":{"@type":"Organization","name":"ATLAS Collaboration"},"creator":{"@type":"Organization","name":"ATLAS Collaboration"},"datePublished":"2014","description":"CERN-LHC.  The distributions of event-by-event harmonic flow coefficients vn for n = 2-4 are measured in sqrt(sNN) = 2.76 TeV Pb+Pb collisions using the ATLAS detector at the LHC.  The measurements are performed using charged particles with transverse momentum pT &gt; 0.5 GeV and in the pseudorapidity range |eta| &lt; 2.5 in a dataset of approximately 7 mub^-1 recorded in 2010.  The shapes of the vn distributions suggest that the associated flow vectors are described by a two-dimensional Gaussian function in central collisions for v2 and over most of the measured centrality range for v3 and v4.  Significant deviations from this function are observed for v2 in mid-central and peripheral collisions, and a small deviation is observed for v3 in mid-central collisions.  In order to be sensitive to these deviations, it is shown that the commonly used multi-particle cumulants, involving four particles or more, need to be measured with a precision better than a few percent.  The vn distributions are also measured independently for charged particles with 0.5 &lt; pT &lt; 1 GeV and pT &gt; 1 GeV.  When these distributions are rescaled to the same mean values, the adjusted shapes are found to be nearly the same for these two pT ranges.  The vn distributions are compared with the eccentricity distributions from two models for the initial collision geometry: a Glauber model and a model that includes corrections to the initial geometry due to gluon saturation effects.  Both models fail to describe the experimental data consistently over most of the measured centrality range.","hasPart":[{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t1","@type":"Dataset","description":"The relationship between centrality intervals and MEAN(Npart) estimated from the Glauber model.","name":"Table 1"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t2","@type":"Dataset","description":"The MEAN(Npart) dependence of MEAN(V2) for three pT ranges together with the total systematic uncertainties.","name":"Table 2"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t3","@type":"Dataset","description":"The MEAN(Npart) dependence of SIGMA(V2) for three pT ranges together with the total systematic uncertainties.","name":"Table 3"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t4","@type":"Dataset","description":"The MEAN(Npart) dependence of SIGMA(V2)/MEAN(V2) for three pT ranges together with the total systematic uncertainties.","name":"Table 4"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t5","@type":"Dataset","description":"The MEAN(Npart) dependence of MEAN(V3) for three pT ranges together with the total systematic uncertainties.","name":"Table 5"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t6","@type":"Dataset","description":"The MEAN(Npart) dependence of SIGMA(V3) for three pT ranges together with the total systematic uncertainties.","name":"Table 6"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t7","@type":"Dataset","description":"The MEAN(Npart) dependence of SIGMA(V3)/MEAN(V3) for three pT ranges together with the total systematic uncertainties.","name":"Table 7"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t8","@type":"Dataset","description":"The MEAN(Npart) dependence of MEAN(V4) for three pT ranges together with the total systematic uncertainties.","name":"Table 8"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t9","@type":"Dataset","description":"The MEAN(Npart) dependence of SIGMA(V4) for three pT ranges together with the total systematic uncertainties.","name":"Table 9"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t10","@type":"Dataset","description":"The MEAN(Npart) dependence of SIGMA(V4)/MEAN(V4) for three pT ranges together with the total systematic uncertainties.","name":"Table 10"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t11","@type":"Dataset","description":"Eccentricity curves for EPSILON2 in Figure 12.","name":"Table 11"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t12","@type":"Dataset","description":"Eccentricity curves for EPSILON3 in Figure 12.","name":"Table 12"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t13","@type":"Dataset","description":"Eccentricity curves for EPSILON4 in Figure 12.","name":"Table 13"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t14","@type":"Dataset","description":"Comparison of MEAN(V2) and SQRT(MEAN(V2**2)), derived from the EbyE V2 distributions, with the V2(EP), for charged particles in the pT...","name":"Table 14"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t15","@type":"Dataset","description":"The ratios of SQRT(MEAN(V2**2)) and V2(EP) to MEAN(V2), for charged particles in the pT &gt; 0.5 GeV range.","name":"Table 15"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t16","@type":"Dataset","description":"Comparison of MEAN(V3) and SQRT(MEAN(V3**2)), derived from the EbyE V3 distributions, with the V3(EP), for charged particles in the pT...","name":"Table 16"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t17","@type":"Dataset","description":"The ratios of SQRT(MEAN(V3**2)) and V3(EP) to MEAN(V3), for charged particles in the pT &gt; 0.5 GeV range.","name":"Table 17"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t18","@type":"Dataset","description":"Comparison of MEAN(V4) and SQRT(MEAN(V4**2)), derived from the EbyE V4 distributions, with the V4(EP), for charged particles in the pT...","name":"Table 18"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t19","@type":"Dataset","description":"The ratios of SQRT(MEAN(V4**2)) and V4(EP) to MEAN(V4), for charged particles in the pT &gt; 0.5 GeV range.","name":"Table 19"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t20","@type":"Dataset","description":"Comparison of MEAN(V2) and SQRT(MEAN(V2**2)), derived from the EbyE V2 distributions, with the V2(EP), for charged particles in the 0.5...","name":"Table 20"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t21","@type":"Dataset","description":"The ratios of SQRT(MEAN(V2**2)) and V2(EP) to MEAN(V2), for charged particles in the 0.5 &lt; pT &lt; 1 GeV range.","name":"Table 21"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t22","@type":"Dataset","description":"Comparison of MEAN(V3) and SQRT(MEAN(V3**2)), derived from the EbyE V3 distributions, with the V3(EP), for charged particles in the 0.5...","name":"Table 22"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t23","@type":"Dataset","description":"The ratios of SQRT(MEAN(V3**2)) and V3(EP) to MEAN(V3), for charged particles in the 0.5 &lt; pT &lt; 1 GeV range.","name":"Table 23"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t24","@type":"Dataset","description":"Comparison of MEAN(V4) and SQRT(MEAN(V4**2)), derived from the EbyE V4 distributions, with the V4(EP), for charged particles in the 0.5...","name":"Table 24"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t25","@type":"Dataset","description":"The ratios of SQRT(MEAN(V4**2)) and V4(EP) to MEAN(V4), for charged particles in the 0.5 &lt; pT &lt; 1 GeV range.","name":"Table 25"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t26","@type":"Dataset","description":"Comparison of MEAN(V2) and SQRT(MEAN(V2**2)), derived from the EbyE V2 distributions, with the V2(EP), for charged particles in the pT...","name":"Table 26"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t27","@type":"Dataset","description":"The ratios of SQRT(MEAN(V2**2)) and V2(EP) to MEAN(V2), for charged particles in the pT &gt; 1 GeV range.","name":"Table 27"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t28","@type":"Dataset","description":"Comparison of MEAN(V3) and SQRT(MEAN(V3**2)), derived from the EbyE V3 distributions, with the V3(EP), for charged particles in the pT...","name":"Table 28"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t29","@type":"Dataset","description":"The ratios of SQRT(MEAN(V3**2)) and V3(EP) to MEAN(V3), for charged particles in the pT &gt; 1 GeV range.","name":"Table 29"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t30","@type":"Dataset","description":"Comparison of MEAN(V4) and SQRT(MEAN(V4**2)), derived from the EbyE V4 distributions, with the V4(EP), for charged particles in the pT...","name":"Table 30"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t31","@type":"Dataset","description":"The ratios of SQRT(MEAN(V4**2)) and V4(EP) to MEAN(V4), for charged particles in the pT &gt; 1 GeV range.","name":"Table 31"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t32","@type":"Dataset","description":"Bessel-Gaussian fit parameters from Eq. (1.4) and total errors.","name":"Table 32"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t33","@type":"Dataset","description":"The dependence of MEAN(V2) and V2(RP) on MEAN(Npart).","name":"Table 33"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t34","@type":"Dataset","description":"The dependence of SIGMA(V2) and DELTA(V2) on MEAN(Npart).","name":"Table 34"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t35","@type":"Dataset","description":"The dependence of SIGMA(V2) / MEAN(V2) and DELTA(V2) / V2(RP) on MEAN(Npart).","name":"Table 35"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t36","@type":"Dataset","description":"Comparison of the V2(RP) obtained from the Bessel-Gaussian fit of the V2 distributions with the values for two-particle (V2(calc){2}), four-particle...","name":"Table 36"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t37","@type":"Dataset","description":"The ratios of the four-particle (V2(calc){4}), six-particle (V2(calc){6}) and eight-particle (V2(calc){8}) cumulants to the fit results (V2(RP)), with the total...","name":"Table 37"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t38","@type":"Dataset","description":"The ratios of the six-particle (V2(calc){6}) and eight-particle (V2(calc){8}) cumulants to the four-particle (V2(calc){4}) cumulants, with the total uncertainties.","name":"Table 38"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t39","@type":"Dataset","description":"Comparison of the V3(RP) obtained from the Bessel-Gaussian fit of the V3 distributions with the values for two-particle (V3(calc){2}), four-particle...","name":"Table 39"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t40","@type":"Dataset","description":"The ratios of the four-particle (V3(calc){4}), six-particle (V3(calc){6}) and eight-particle (V3(calc){8}) cumulants to the fit results (V3(RP)), with the total...","name":"Table 40"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t41","@type":"Dataset","description":"The ratios of the six-particle (V3(calc){6}) and eight-particle (V3(calc){8}) cumulants to the four-particle (V3(calc){4}) cumulants, with the total uncertainties.","name":"Table 41"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t42","@type":"Dataset","description":"The standard deviation (SIGMA(V2)), the width obtained from Bessel-Gaussian function (DELTA(V2)), the width F1 = SQRT( ( V2(calc){2}**2 - V2(calc){4}**2...","name":"Table 42"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t43","@type":"Dataset","description":"Various estimates of the relative fluctuations given as SIGMA(V2) / MEAN(V2), DELTA(V2) / V2(RP), F2 = SQRT( ( V2(calc){2}**2 -...","name":"Table 43"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t44","@type":"Dataset","description":"Comparison in 0.5 &lt; pT &lt; 1 GeV of the V2(RP) obtained from the Bessel-Gaussian fit of the V2 distributions...","name":"Table 44"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t45","@type":"Dataset","description":"The ratios for 0.5 &lt; pT &lt; 1 GeV of the four-particle (V2(calc){4}), six-particle (V2(calc){6}) and eight-particle (V2(calc){8}) cumulants to...","name":"Table 45"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t46","@type":"Dataset","description":"The ratios for 0.5 &lt; pT &lt; 1 GeV of the six-particle (V2(calc){6}) and eight-particle (V2(calc){8}) cumulants to the four-particle...","name":"Table 46"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t47","@type":"Dataset","description":"Comparison in pT &gt; 1 GeV of the V2(RP) obtained from the Bessel-Gaussian fit of the V2 distributions with the...","name":"Table 47"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t48","@type":"Dataset","description":"The ratios for pT &gt; 1 GeV of the four-particle (V2(calc){4}), six-particle (V2(calc){6}) and eight-particle (V2(calc){8}) cumulants to the fit...","name":"Table 48"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t49","@type":"Dataset","description":"The ratios for pT &gt; 1 GeV of the six-particle (V2(calc){6}) and eight-particle (V2(calc){8}) cumulants to the four-particle (V2(calc){4}) cumulants,...","name":"Table 49"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t50","@type":"Dataset","description":"The values of V2(RP) and V2(RP,obs) obtained from the Bessel-Gaussian fits to the V2 and V2(obs) distributions, with the statistical...","name":"Table 50"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t51","@type":"Dataset","description":"The values of DELTA(V2) and DELTA(V2,obs) obtained from the Bessel-Gaussian fits to the V2 and V2(obs) distributions, with the statistical...","name":"Table 51"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t52","@type":"Dataset","description":".","name":"Table 52"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t53","@type":"Dataset","description":".","name":"Table 53"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t54","@type":"Dataset","description":".","name":"Table 54"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t55","@type":"Dataset","description":".","name":"Table 55"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t56","@type":"Dataset","description":".","name":"Table 56"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t57","@type":"Dataset","description":".","name":"Table 57"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t58","@type":"Dataset","description":".","name":"Table 58"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t59","@type":"Dataset","description":".","name":"Table 59"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t60","@type":"Dataset","description":".","name":"Table 60"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t61","@type":"Dataset","description":".","name":"Table 61"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t62","@type":"Dataset","description":".","name":"Table 62"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t63","@type":"Dataset","description":".","name":"Table 63"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t64","@type":"Dataset","description":".","name":"Table 64"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t65","@type":"Dataset","description":".","name":"Table 65"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t66","@type":"Dataset","description":".","name":"Table 66"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t67","@type":"Dataset","description":".","name":"Table 67"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t68","@type":"Dataset","description":".","name":"Table 68"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t69","@type":"Dataset","description":".","name":"Table 69"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t70","@type":"Dataset","description":".","name":"Table 70"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t71","@type":"Dataset","description":".","name":"Table 71"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t72","@type":"Dataset","description":".","name":"Table 72"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t73","@type":"Dataset","description":".","name":"Table 73"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t74","@type":"Dataset","description":".","name":"Table 74"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t75","@type":"Dataset","description":".","name":"Table 75"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t76","@type":"Dataset","description":".","name":"Table 76"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t77","@type":"Dataset","description":".","name":"Table 77"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t78","@type":"Dataset","description":".","name":"Table 78"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t79","@type":"Dataset","description":".","name":"Table 79"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t80","@type":"Dataset","description":".","name":"Table 80"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t81","@type":"Dataset","description":".","name":"Table 81"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t82","@type":"Dataset","description":".","name":"Table 82"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t83","@type":"Dataset","description":".","name":"Table 83"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t84","@type":"Dataset","description":".","name":"Table 84"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t85","@type":"Dataset","description":".","name":"Table 85"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t86","@type":"Dataset","description":".","name":"Table 86"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t87","@type":"Dataset","description":".","name":"Table 87"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t88","@type":"Dataset","description":".","name":"Table 88"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t89","@type":"Dataset","description":".","name":"Table 89"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t90","@type":"Dataset","description":".","name":"Table 90"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t91","@type":"Dataset","description":".","name":"Table 91"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t92","@type":"Dataset","description":".","name":"Table 92"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t93","@type":"Dataset","description":".","name":"Table 93"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t94","@type":"Dataset","description":".","name":"Table 94"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t95","@type":"Dataset","description":".","name":"Table 95"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t96","@type":"Dataset","description":".","name":"Table 96"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t97","@type":"Dataset","description":".","name":"Table 97"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t98","@type":"Dataset","description":".","name":"Table 98"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t99","@type":"Dataset","description":".","name":"Table 99"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t100","@type":"Dataset","description":".","name":"Table 100"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t101","@type":"Dataset","description":".","name":"Table 101"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t102","@type":"Dataset","description":".","name":"Table 102"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t103","@type":"Dataset","description":".","name":"Table 103"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t104","@type":"Dataset","description":".","name":"Table 104"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t105","@type":"Dataset","description":".","name":"Table 105"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t106","@type":"Dataset","description":".","name":"Table 106"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t107","@type":"Dataset","description":".","name":"Table 107"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t108","@type":"Dataset","description":".","name":"Table 108"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t109","@type":"Dataset","description":".","name":"Table 109"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t110","@type":"Dataset","description":".","name":"Table 110"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t111","@type":"Dataset","description":".","name":"Table 111"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t112","@type":"Dataset","description":".","name":"Table 112"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t113","@type":"Dataset","description":".","name":"Table 113"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t114","@type":"Dataset","description":".","name":"Table 114"},{"@id":"https://doi.org/10.17182/hepdata.62783.v1/t115","@type":"Dataset","description":".","name":"Table 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harmonics in lead--lead collisions at sqrt(s_NN)=2.76 TeV with the ATLAS detector at the LHC","provider":{"@type":"Organization","name":"HEPData"},"publisher":{"@type":"Organization","name":"HEPData"},"url":"https://www.hepdata.net/record/ins1233359?version=1","version":1}
