{"@context":"http://schema.org","@id":"https://doi.org/10.17182/hepdata.165515.v1","@reverse":{"isBasedOn":[{"@type":"ScholarlyArticle","identifier":{"@type":"PropertyValue","propertyID":"URL","value":"https://inspirehep.net/literature/2933773"}},{"@id":"https://doi.org/10.1007/JHEP11(2025)076","@type":"JournalArticle"}]},"@type":"Dataset","additionalType":"Collection","author":{"@type":"Organization","name":"ALICE Collaboration"},"creator":{"@type":"Organization","name":"ALICE Collaboration"},"datePublished":"2025","description":"Ultrarelativistic heavy-ion collisions produce a state of hot and dense strongly interacting QCD matter called quark--gluon plasma (QGP). On an event-by-event basis, the volume of the QGP in ultracentral collisions is mostly constant, while its total entropy can vary significantly due to quantum fluctuations, leading to variations in the temperature of the system. Exploiting this unique feature of ultracentral collisions allows for the interpretation of the correlation of the mean transverse momentum of produced charged hadrons and the number of charged hadrons as a measure for the speed of sound. It is determined by fitting the relative increase in transverse momentum with respect to the relative change in the average charged-particle density measured at midrapidity. This study reports the event-average transverse momentum of charged particles as well as the self-normalized variance, skewness, and kurtosis of the event-by-event transverse momentum distribution in ultracentral Pb-Pb collisions at a center-of-mass energy of 5.02 TeV per nucleon pair using the ALICE detector. Different centrality estimators based on charged-particle multiplicity or the transverse energy of the event are used to select ultracentral collisions. By ensuring a pseudorapidity gap between the region used to define the centrality and the region used to perform the measurement, the influence of biases on the rise of the mean transverse momentum is tested. The measured values are found to strongly depend on the exploited centrality estimator. The variance shows a steep decrease towards ultracentral collisions, while the skewness variables show a maximum, followed by a fast decrease. These non-Gaussian features are understood in terms of the vanishing of the impact-parameter fluctuations contributing to the event-to-event transverse momentum distribution.","hasPart":[{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t1","@type":"Dataset","description":"Average number of participating nucleons ($\\langle N_{\\mathrm{part}} \\rangle$) as a function of centrality percentile in $\\mathrm{Pb}-\\mathrm{Pb}$ collisions at $\\sqrt{s_{\\mathrm{NN}}} =...","name":"Figure 1a"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t2","@type":"Dataset","description":"Average number of participating nucleons ($\\langle N_{\\mathrm{part}} \\rangle$) as a function of centrality percentile in $\\mathrm{Pb}-\\mathrm{Pb}$ collisions at $\\sqrt{s_{\\mathrm{NN}}} =...","name":"Figure 1b"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t3","@type":"Dataset","description":"Normalized $p_{\\mathrm{T}}$-spectrum ratio as a function as a function of centrality in $\\mathrm{Pb}-\\mathrm{Pb}$ collisions at $\\sqrt{s_{\\mathrm{NN}}} = 5.02~\\mathrm{TeV}$. Data points...","name":"Figure 2a"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t4","@type":"Dataset","description":"Normalized $p_{\\mathrm{T}}$-spectrum ratio as a function as a function of centrality in $\\mathrm{Pb}-\\mathrm{Pb}$ collisions at $\\sqrt{s_{\\mathrm{NN}}} = 5.02~\\mathrm{TeV}$. Data points...","name":"Figure 2b"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t5","@type":"Dataset","description":"Normalized $p_{\\mathrm{T}}$-spectrum ratio as a function as a function of centrality in $\\mathrm{Pb}-\\mathrm{Pb}$ collisions at $\\sqrt{s_{\\mathrm{NN}}} = 5.02~\\mathrm{TeV}$. Data points...","name":"Figure 2c"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t6","@type":"Dataset","description":"Normalized $p_{\\mathrm{T}}$-spectrum ratio as a function as a function of centrality in $\\mathrm{Pb}-\\mathrm{Pb}$ collisions at $\\sqrt{s_{\\mathrm{NN}}} = 5.02~\\mathrm{TeV}$. Data points...","name":"Figure 2d"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t7","@type":"Dataset","description":"Event fraction distribution as a function of $\\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle / \\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle ^{\\mathrm{0-5\\%}}$ in $\\mathrm{Pb}-\\mathrm{Pb}$ collisions at $\\sqrt{s_{\\mathrm{NN}}}...","name":"Figure 3a"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t8","@type":"Dataset","description":"Event fraction distribution as a function of $\\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle / \\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle ^{\\mathrm{0-5\\%}}$ in $\\mathrm{Pb}-\\mathrm{Pb}$ collisions at $\\sqrt{s_{\\mathrm{NN}}}...","name":"Figure 3b"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t9","@type":"Dataset","description":"Event fraction distribution as a function of $\\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle / \\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle ^{\\mathrm{0-5\\%}}$ in $\\mathrm{Pb}-\\mathrm{Pb}$ collisions at $\\sqrt{s_{\\mathrm{NN}}}...","name":"Figure 3c"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t10","@type":"Dataset","description":"Correlation between $\\langle p_{\\mathrm{T}} \\rangle / \\langle p_{\\mathrm{T}} \\rangle ^{\\mathrm{0-5\\%}}$ and $\\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle / \\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle ^{\\mathrm{0-5\\%}}$ in...","name":"Figure 4a"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t11","@type":"Dataset","description":"Correlation between $\\langle p_{\\mathrm{T}} \\rangle / \\langle p_{\\mathrm{T}} \\rangle ^{\\mathrm{0-5\\%}}$ and $\\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle / \\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle ^{\\mathrm{0-5\\%}}$ in...","name":"Figure 4b"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t12","@type":"Dataset","description":"Correlation between $\\langle p_{\\mathrm{T}} \\rangle / \\langle p_{\\mathrm{T}} \\rangle ^{\\mathrm{0-5\\%}}$ and $\\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle / \\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle ^{\\mathrm{0-5\\%}}$ in...","name":"Figure 4c"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t13","@type":"Dataset","description":"Correlation between $\\langle p_{\\mathrm{T}} \\rangle / \\langle p_{\\mathrm{T}} \\rangle ^{\\mathrm{0-5\\%}}$ and $\\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle / \\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle ^{\\mathrm{0-5\\%}}$ in...","name":"Figure 4d"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t14","@type":"Dataset","description":"Correlation between $\\langle p_{\\mathrm{T}} \\rangle / \\langle p_{\\mathrm{T}} \\rangle ^{\\mathrm{0-5\\%}}$ and $\\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle / \\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle ^{\\mathrm{0-5\\%}}$ in...","name":"Figure 4e"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t15","@type":"Dataset","description":"Correlation between $\\langle p_{\\mathrm{T}} \\rangle / \\langle p_{\\mathrm{T}} \\rangle ^{\\mathrm{0-5\\%}}$ and $\\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle / \\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle ^{\\mathrm{0-5\\%}}$ in...","name":"Figure 4f"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t16","@type":"Dataset","description":"Correlation between $\\langle p_{\\mathrm{T}} \\rangle / \\langle p_{\\mathrm{T}} \\rangle ^{\\mathrm{0-5\\%}}$ and $\\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle / \\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle ^{\\mathrm{0-5\\%}}$ in...","name":"Figure 4g"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t17","@type":"Dataset","description":"Correlation between $\\langle p_{\\mathrm{T}} \\rangle / \\langle p_{\\mathrm{T}} \\rangle ^{\\mathrm{0-5\\%}}$ and $\\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle / \\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle ^{\\mathrm{0-5\\%}}$ in...","name":"Figure 4h"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t18","@type":"Dataset","description":"Correlation between $\\langle p_{\\mathrm{T}} \\rangle / \\langle p_{\\mathrm{T}} \\rangle ^{\\mathrm{0-5\\%}}$ and $\\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle / \\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle ^{\\mathrm{0-5\\%}}$ in...","name":"Figure 4i"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t19","@type":"Dataset","description":"Extracted $c_{\\mathrm{s}}^{2}$ as a function of the minimum pseudorapidity gap between the centrality estimation and transverse-momentum spectra measurement in $\\mathrm{Pb}-\\mathrm{Pb}$...","name":"Figure 6"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t20","@type":"Dataset","description":"$k_{2}/k_{2}^{0-5\\%}$ as a function of $\\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle / \\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle ^{\\mathrm{0-5\\%}}$ in $\\mathrm{Pb}-\\mathrm{Pb}$ collisions at $\\sqrt{s_{\\mathrm{NN}}} = 5.02~\\mathrm{TeV}$....","name":"Figure 7a"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t21","@type":"Dataset","description":"$k_{2}/k_{2}^{0-5\\%}$ as a function of $\\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle / \\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle ^{\\mathrm{0-5\\%}}$ in $\\mathrm{Pb}-\\mathrm{Pb}$ collisions at $\\sqrt{s_{\\mathrm{NN}}} = 5.02~\\mathrm{TeV}$....","name":"Figure 7b"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t22","@type":"Dataset","description":"$k_{2}/k_{2}^{0-5\\%}$ as a function of $\\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle / \\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle ^{\\mathrm{0-5\\%}}$ in $\\mathrm{Pb}-\\mathrm{Pb}$ collisions at $\\sqrt{s_{\\mathrm{NN}}} = 5.02~\\mathrm{TeV}$....","name":"Figure 7c"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t23","@type":"Dataset","description":"$k_{3}/k_{3}^{0-5\\%}$ as a function of $\\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle / \\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle ^{\\mathrm{0-5\\%}}$ in $\\mathrm{Pb}-\\mathrm{Pb}$ collisions at $\\sqrt{s_{\\mathrm{NN}}} = 5.02~\\mathrm{TeV}$....","name":"Figure 7d"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t24","@type":"Dataset","description":"$k_{3}/k_{3}^{0-5\\%}$ as a function of $\\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle / \\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle ^{\\mathrm{0-5\\%}}$ in $\\mathrm{Pb}-\\mathrm{Pb}$ collisions at $\\sqrt{s_{\\mathrm{NN}}} = 5.02~\\mathrm{TeV}$....","name":"Figure 7e"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t25","@type":"Dataset","description":"$k_{3}/k_{3}^{0-5\\%}$ as a function of $\\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle / \\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle ^{\\mathrm{0-5\\%}}$ in $\\mathrm{Pb}-\\mathrm{Pb}$ collisions at $\\sqrt{s_{\\mathrm{NN}}} = 5.02~\\mathrm{TeV}$....","name":"Figure 7f"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t26","@type":"Dataset","description":"$\\gamma_{\\langle [p_{\\mathrm{T}}] \\rangle}/\\gamma_{\\langle [p_{\\mathrm{T}}] \\rangle}^{0-5\\%}$ as a function of $\\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle / \\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle ^{\\mathrm{0-5\\%}}$ in $\\mathrm{Pb}-\\mathrm{Pb}$ collisions...","name":"Figure 7g"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t27","@type":"Dataset","description":"$\\gamma_{\\langle [p_{\\mathrm{T}}] \\rangle}/\\gamma_{\\langle [p_{\\mathrm{T}}] \\rangle}^{0-5\\%}$ as a function of $\\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle / \\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle ^{\\mathrm{0-5\\%}}$ in $\\mathrm{Pb}-\\mathrm{Pb}$ collisions...","name":"Figure 7h"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t28","@type":"Dataset","description":"$\\gamma_{\\langle [p_{\\mathrm{T}}] \\rangle}/\\gamma_{\\langle [p_{\\mathrm{T}}] \\rangle}^{0-5\\%}$ as a function of $\\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle / \\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle ^{\\mathrm{0-5\\%}}$ in $\\mathrm{Pb}-\\mathrm{Pb}$ collisions...","name":"Figure 7i"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t29","@type":"Dataset","description":"$\\Gamma_{\\langle [p_{\\mathrm{T}}] \\rangle}/\\Gamma_{\\langle [p_{\\mathrm{T}}] \\rangle}^{0-5\\%}$ as a function of $\\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle / \\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle ^{\\mathrm{0-5\\%}}$ in $\\mathrm{Pb}-\\mathrm{Pb}$ collisions...","name":"Figure 7j"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t30","@type":"Dataset","description":"$\\Gamma_{\\langle [p_{\\mathrm{T}}] \\rangle}/\\Gamma_{\\langle [p_{\\mathrm{T}}] angle}^{0-5\\%}$ as a function of $\\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle / \\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle ^{\\mathrm{0-5\\%}}$ in $\\mathrm{Pb}-\\mathrm{Pb}$ collisions...","name":"Figure 7k"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t31","@type":"Dataset","description":"$\\Gamma_{\\langle [p_{\\mathrm{T}}] \\rangle}/\\Gamma_{\\langle [p_{\\mathrm{T}}] \\rangle}^{0-5\\%}$ as a function of $\\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle / \\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle ^{\\mathrm{0-5\\%}}$ in $\\mathrm{Pb}-\\mathrm{Pb}$ collisions...","name":"Figure 7l"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t32","@type":"Dataset","description":"$\\kappa_{\\langle [p_{\\mathrm{T}}] \\rangle}/\\kappa_{\\langle [p_{\\mathrm{T}}] \\rangle}^{0-5\\%}$ as a function of $\\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle / \\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle ^{\\mathrm{0-5\\%}}$ in $\\mathrm{Pb}-\\mathrm{Pb}$ collisions...","name":"Figure 7m"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t33","@type":"Dataset","description":"$\\kappa_{\\langle [p_{\\mathrm{T}}] \\rangle}/\\kappa_{\\langle [p_{\\mathrm{T}}] \\rangle}^{0-5\\%}$ as a function of $\\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle / \\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle ^{\\mathrm{0-5\\%}}$ in $\\mathrm{Pb}-\\mathrm{Pb}$ collisions...","name":"Figure 7n"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t34","@type":"Dataset","description":"$\\kappa_{\\langle [p_{\\mathrm{T}}] \\rangle}/\\kappa_{\\langle [p_{\\mathrm{T}}] \\rangle}^{0-5\\%}$ as a function of $\\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle / \\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle ^{\\mathrm{0-5\\%}}$ in $\\mathrm{Pb}-\\mathrm{Pb}$ collisions...","name":"Figure 7o"},{"@id":"https://doi.org/10.17182/hepdata.165515.v1/t35","@type":"Dataset","description":"Correlation between $\\langle p_{\\mathrm{T}} \\rangle / \\langle p_{\\mathrm{T}} \\rangle ^{\\mathrm{0-5\\%}}$ and $\\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle / \\langle \\mathrm{d}N_{\\mathrm{ch}}/\\mathrm{d}\\eta \\rangle ^{\\mathrm{0-5\\%}}$ in...","name":"Figure 8"}],"identifier":[{"@type":"PropertyValue","propertyID":"HEPDataRecord","value":"https://www.hepdata.net/record/ins2933773?version=1"},{"@type":"PropertyValue","propertyID":"HEPDataRecordAlt","value":"https://www.hepdata.net/record/165515"}],"inLanguage":"en","name":"Study of $\\langle p_{\\rm T} \\rangle$ and its higher moments, and extraction of the speed of sound in Pb-Pb collisions with ALICE","provider":{"@type":"Organization","name":"HEPData"},"publisher":{"@type":"Organization","name":"HEPData"},"url":"https://www.hepdata.net/record/ins2933773?version=1","version":1}
