Multiplicity ($N_{\rm ch}$) distributions and transverse momentum ($p_{\rm T}$) spectra of inclusive primary charged particles in the kinematic range of $|\eta| < 0.8$ and 0.15 GeV/$c$$< p_{T} <$ 10 GeV/$c$ are reported for pp, p-Pb, Xe-Xe and Pb-Pb collisions at centre-of-mass energies per nucleon pair ranging from $\sqrt{s_{\rm NN}} = 2.76$ TeV up to $13$ TeV. A sequential two-dimensional unfolding procedure is used to extract the correlation between the transverse momentum of primary charged particles and the charged-particle multiplicity of the corresponding collision. This correlation sharply characterises important features of the final state of a collision and, therefore, can be used as a stringent test of theoretical models. The multiplicity distributions as well as the mean and standard deviation derived from the $p_{\rm T}$ spectra are compared to state-of-the-art model predictions. Providing these fundamental observables of bulk particle production consistently across a wide range of collision energies and system sizes can serve as an important input for tuning Monte Carlo event generators.
Charged-particle multiplicity distribution for pp collisions at 2.76 TeV.
Koba-Nielsen-Olesen scaled charged-particle multiplicity distribution for pp collisions at 2.76 TeV.
Charged-particle transverse momentum spectra as a function of charged-particle multiplicity for pp collisions at 2.76 TeV.
Collective behaviour of final-state hadrons, and multiparton interactions are studied in high-multiplicity $ep$ scattering at a centre-of-mass energy $\sqrt{s}=318$ GeV with the ZEUS detector at HERA. Two- and four-particle azimuthal correlations, as well as multiplicity, transverse momentum, and pseudorapidity distributions for charged-particle multiplicities $N_{\textrm ch} \geq 20$ are measured. The dependence of two-particle correlations on the virtuality of the exchanged photon shows a clear transition from photoproduction to neutral current deep inelastic scattering. For the multiplicities studied, neither the measurements in photoproduction processes nor those in neutral current deep inelastic scattering indicate significant collective behaviour of the kind observed in high-multiplicity hadronic collisions at RHIC and the LHC. Comparisons of PYTHIA predictions with the measurements in photoproduction strongly indicate the presence of multiparton interactions from hadronic fluctuations of the exchanged photon.
Two-particle correlations $c_{1}\{2\}$ versus $Q^2$. Photoproduction data are shown at $Q^2$ = 0 GeV$^2$, while NC DIS is for $Q^2$ > 5 GeV$^2$.
Two-particle correlations $c_{1}\{2\}$ versus $Q^2$ with a rapidity separation: $\Delta \eta > 2$. Photoproduction data are shown at $Q^2$ = 0 GeV$^2$, while NC DIS is for $Q^2$ > 5 GeV$^2$.
Two-particle correlations $c_{1}\{2\}$ versus $Q^2$ with a high-$p_{\textrm{T}}$ constraint: $p_{\textrm{T}}$ > 0.5 GeV. Photoproduction data are shown at $Q^2$ = 0 GeV$^2$, while NC DIS is for $Q^2$ > 5 GeV$^2$.
Charged particle multiplicity distributions in positron-proton deep inelastic scattering at a centre-of-mass energy $\sqrt{s}=319$ GeV are measured. The data are collected with the H1 detector at HERA corresponding to an integrated luminosity of $136$ pb${}^{-1}$. Charged particle multiplicities are measured as a function of photon virtuality $Q^2$, inelasticity $y$ and pseudorapidity $\eta$ in the laboratory and the hadronic centre-of-mass frames. Predictions from different Monte Carlo models are compared to the data. The first and second moments of the multiplicity distributions are determined and the KNO scaling behaviour is investigated. The multiplicity distributions as a function of $Q^2$ and the Bjorken variable $x_{\rm Bj}$ are converted to the hadron entropy $S_{\rm hadron}$, and predictions from a quantum entanglement model are tested.
Charged particle multiplicity distribution $P(N)$ measured as a function of the number of charged particles $N$ in 4x4 kinematic bins of $Q^2$ and $y$.
Charged particle multiplicity distribution $P(N)$ measured as a function of the number of charged particles $N$ in three overlapping pseudorapidity ranges $-1.2<\eta_{lab}\vert<0.2$, $-0.5<\eta_{lab}\vert<0.9$ and $0.2<\eta_{lab}\vert<1.6$, subdivided into 4x4 kinematic bins of $Q^2$ and $y$.
Charged particle multiplicity distribution $P(N)$ measured as a function of the number of charged particles $N$ with the additional restriction to select only particles from the current region of the Breit frame $0<\eta^{*}<4$, in 4x4 kinematic bins of $Q^2$ and $y$.
A semi-inclusive measurement of charged hadron multiplicities in deep inelastic muon scattering off an isoscalar target was performed using data collected by the COMPASS Collaboration at CERN. The following kinematic domain is covered by the data: photon virtuality $Q^{2}>1$ (GeV/$c$)$^2$, invariant mass of the hadronic system $W > 5$ GeV/$c^2$, Bjorken scaling variable in the range $0.003 < x < 0.4$, fraction of the virtual photon energy carried by the hadron in the range $0.2 < z < 0.8$, square of the hadron transverse momentum with respect to the virtual photon direction in the range 0.02 (GeV/$c)^2 < P_{\rm{hT}}^{2} < 3$ (GeV/$c$)$^2$. The multiplicities are presented as a function of $P_{\rm{hT}}^{2}$ in three-dimensional bins of $x$, $Q^2$, $z$ and compared to previous semi-inclusive measurements. We explore the small-$P_{\rm{hT}}^{2}$ region, i.e. $P_{\rm{hT}}^{2} < 1$ (GeV/$c$)$^2$, where hadron transverse momenta are expected to arise from non-perturbative effects, and also the domain of larger $P_{\rm{hT}}^{2}$, where contributions from higher-order perturbative QCD are expected to dominate. The multiplicities are fitted using a single-exponential function at small $P_{\rm{hT}}^{2}$ to study the dependence of the average transverse momentum $\langle P_{\rm{hT}}^{2}\rangle$ on $x$, $Q^2$ and $z$. The power-law behaviour of the multiplicities at large $P_{\rm{hT}}^{2}$ is investigated using various functional forms. The fits describe the data reasonably well over the full measured range.
We present the charged-particle multiplicity distributions over a wide pseudorapidity range ($-3.4<\eta<5.0$) for pp collisions at $\sqrt{s}=$ 0.9, 7, and 8 TeV at the LHC. Results are based on information from the Silicon Pixel Detector and the Forward Multiplicity Detector of ALICE, extending the pseudorapidity coverage of the earlier publications and the high-multiplicity reach. The measurements are compared to results from the CMS experiment and to PYTHIA, PHOJET and EPOS LHC event generators, as well as IP-Glasma calculations.
Multiplicity distribution in the pseudorapidity region -2.0 to 2.0 for NSD collisions at a centre-of-mass energy of 900 GeV.
Multiplicity distribution in the pseudorapidity region -2.4 to 2.4 for NSD collisions at a centre-of-mass energy of 900 GeV.
Multiplicity distribution in the pseudorapidity region -3.0 to 3.0 for NSD collisions at a centre-of-mass energy of 900 GeV.
We present the charged-particle pseudorapidity density in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02\,\mathrm{Te\kern-.25exV}$ in centrality classes measured by ALICE. The measurement covers a wide pseudorapidity range from $-3.5$ to $5$, which is sufficient for reliable estimates of the total number of charged particles produced in the collisions. For the most central (0-5%) collisions we find $21\,400\pm 1\,300$ while for the most peripheral (80-90%) we find $230\pm 38$. This corresponds to an increase of $(27\pm4)\%$ over the results at $\sqrt{s_{\mathrm{NN}}}=2.76\,\mathrm{Te\kern-.25exV}$ previously reported by ALICE. The energy dependence of the total number of charged particles produced in heavy-ion collisions is found to obey a modified power-law like behaviour. The charged-particle pseudorapidity density of the most central collisions is compared to model calculations --- none of which fully describes the measured distribution. We also present an estimate of the rapidity density of charged particles. The width of that distribution is found to exhibit a remarkable proportionality to the beam rapidity, independent of the collision energy from the top SPS to LHC energies.
Charged-particle pseudorapidity density for ten centrality classes over a broad $\eta$ range in Pb-Pb collisions at $\sqrt{s_{_{\mathrm{NN}}}}=5.02\,\mathrm{TeV}$. Boxes around the points reflect the total uncorrelated systematic uncertainties, while the filled squares on the right reflect the correlated systematic uncertainty (evaluated at $\eta=0$). Statistical errors are generally insignificant and smaller than the markers. Also shown is the reflection of the $3.5<\eta<5$ values around $\eta=0$ (open circles). The line corresponds to fits of the difference between two Gaussians centred at $\eta=0$ ($f_{\text{GG}}$) [PLB754.373] to the data.
Charged-particle pseudorapidity density at midrapidity in most perihperhal (80-90%) Pb-Pb collisions at $\sqrt{s_{\scriptscriptstyle\mathrm{NN}}}=5.02\,\mathrm{TeV}$.
Total number of charged particles as a function of the mean number of participating nucleons [PRC88.044909]. The total charged-particle multiplicity is given as the integral over $\mathrm{d}N_{\mathrm{ch}}/\mathrm{d}\eta$ over the measured region ($-3.5<\eta<5$) and extrapolations from fitted functions in the unmeasured regions. The contribution from unmeasured $\eta$ regions amounts to $\approx30\%$ of the total number of charged particles. The uncertainty on the extrapolation to the unmeasured pseudorapidity region is smaller than the size of the markers. The contribution to the systematic uncertainties from the centrality determination and electromagnetic processes are vanishing compared to the contribution from the largest differences between the fitted functions. A function inspired by factorisation [PRC83.024913] is fitted to the data, and the best fit yields $a=51.5\pm7.3$, $b=0.16\pm0.05$.
Precise measurements of charged-kaon multiplicities in deep inelastic scattering were performed. The results are presented in three-dimensional bins of the Bjorken scaling variable x, the relative virtual-photon energy y, and the fraction z of the virtual-photon energy carried by the produced hadron. The data were obtained by the COMPASS Collaboration by scattering 160 GeV muons off an isoscalar 6 LiD target. They cover the kinematic domain 1 (GeV/c)2 < Q2 < 60 (GeV/c)^2 in the photon virtuality, 0.004 < x < 0.4, 0.1 < y < 0.7, 0.20 < z < 0.85, and W > 5 GeV/c^2 in the invariant mass of the hadronic system. The results from the sum of the z-integrated K+ and K- multiplicities at high x point to a value of the non-strange quark fragmentation function larger than obtained by the earlier DSS fit.
Multiplicities of positively charged kaons from semi-inclusive deep-inelastic scattering of muons off an isoscalar target, $M^{K^{+}}$, in bins of $x$, $y$, and $z$. Also given are the diffractive vector meson correction to the kaon count, $DVM^{K^{+}}$, and DIS count, $DVM^{DIS}$, as well as the radiative correction factors to the kaon count, $\eta^{K^{+}}$, and DIS count, $\eta^{DIS}$. The correction factors were applied to the raw multiplicity to arrive at the final multiplicity given in the table, $M^{K^{+}}$, as follows: $M^{K^{+}}$ = $M_{raw}^{K^{+}}$ * $\frac{\eta^{K^{+}}} {\eta^{DIS}}$ * $\frac{ DVM^{K^{+}} } {DVM^{DIS} }$.
Multiplicities of negatively charged kaons from semi-inclusive deep-inelastic scattering of muons off an isoscalar target, $M^{K^{-}}$, in bins of $x$, $y$, and $z$. Also given are the diffractive vector meson correction to the kaon count, $DVM^{K^{-}}$, and DIS count, $DVM^{DIS}$, as well as the radiative correction factors to the kaon count, $\eta^{K^{-}}$, and DIS count, $\eta^{DIS}$. The correction factors were applied to the raw multiplicity to arrive at the final multiplicity given in the table, $M^{K^{-}}$, as follows: $M^{K^{-}}$ = $M_{raw}^{K^{-}}$ * $\frac{\eta^{K^{-}}} {\eta^{DIS}}$ * $\frac{ DVM^{K^{-}} } {DVM^{DIS} }$.
Multiplicities of charged pions and unidentified hadrons produced in deep-inelastic scattering were measured in bins of the Bjorken scaling variable $x$, the relative virtual-photon energy $y$ and the relative hadron energy $z$. Data were obtained by the COMPASS Collaboration using a 160 GeV muon beam and an isoscalar target ($^6$LiD). They cover the kinematic domain in the photon virtuality $Q^2$ > 1(GeV/c$)^2$, $0.004 < x < 0.4$, $0.2 < z < 0.85$ and $0.1 < y < 0.7$. In addition, a leading-order pQCD analysis was performed using the pion multiplicity results to extract quark fragmentation functions.
Multiplicities of positively charged pions from semi-inclusive deep-inelastic scattering of muons off an isoscalar target, $M^{\pi^{+}}$, in bins of $x$, $y$, and $z$. Also given are the diffractive vector meson correction to the pion count, $DVM^{\pi^{+}}$, and DIS count, $DVM^{DIS}$, as well as the radiative correction factors to the pion count, $\eta^{\pi^{+}}$, and DIS count, $\eta^{DIS}$. The correction factors were applied to the raw multiplicity to arrive at the final multiplicity given in the table, $M^{\pi^{+}}$, as follows: $M^{\pi^{+}}$ = $M_{raw}^{\pi^{+}}$ * $\frac{\eta^{\pi^{+}}} {\eta^{DIS}}$ * $\frac{ DVM^{\pi^{+}} } {DVM^{DIS} }$.
Multiplicities of negatively charged pions from semi-inclusive deep-inelastic scattering of muons off an isoscalar target, $M^{\pi^{-}}$, in bins of $x$, $y$, and $z$. Also given are the diffractive vector meson correction to the pion count, $DVM^{\pi^{-}}$, and DIS count, $DVM^{DIS}$, as well as the radiative correction factors to the pion count, $\eta^{\pi^{-}}$, and DIS count, $\eta^{DIS}$. The correction factors were applied to the raw multiplicity to arrive at the final multiplicity given in the table, $M^{\pi^{-}}$, as follows: $M^{\pi^{-}}$ = $M_{raw}^{\pi^{-}}$ * $\frac{\eta^{\pi^{-}}} {\eta^{DIS}}$ * $\frac{ DVM^{\pi^{-}} } {DVM^{DIS} }$.
Multiplicities of unidentified positively charged hadrons from semi-inclusive deep-inelastic scattering of muons off an isoscalar target, $M^{h^{+}}$, in bins of $x$, $y$, and $z$. Also given are the diffractive vector meson correction to the hadron count, $DVM^{h^{+}}$, and DIS count, $DVM^{DIS}$, as well as the radiative correction factors to the hadron count, $\eta^{h^{+}}$, and DIS count, $\eta^{DIS}$. The correction factors were applied to the raw multiplicity to arrive at the final multiplicity given in the table, $M^{h^{+}}$, as follows: $M^{h^{+}}$ = $M_{raw}^{h^{+}}$ * $\frac{\eta^{h^{+}}} {\eta^{DIS}}$ * $\frac{ DVM^{h^{+}} } {DVM^{DIS} }$.
The centrality dependence of the charged-particle pseudorapidity density measured with ALICE in Pb-Pb collisions at $\sqrt{s_{\rm NN}}$ over a broad pseudorapidity range is presented. This Letter extends the previous results reported by ALICE to more peripheral collisions. No strong change of the charged-particle pseudorapidity density distributions with centrality is observed, and when normalised to the number of participating nucleons in the collisions, the evolution over pseudorapidity with centrality is likewise small. The broad pseudorapidity range allows precise estimates of the total number of produced charged particles which we find to range from $162\pm22$ (syst.) to $17170\pm770$ (syst.) in 80-90% and 0-5 central collisions, respectively. The total charged-particle multiplicity is seen to approximately scale with the number of participating nucleons in the collision. This suggests that hard contributions to the charged-particle multiplicity are limited. The results are compared to models which describe $\mbox{d}N_{\mbox{ch}}/\mbox{d}\eta$ at mid-rapidity in the most central Pb-Pb collisions and it is found that these models do not capture all features of the distributions.
Measurement of $\mbox{d}N_{\mbox{ch}}/\mbox{d}\eta$ for all centralities and a broad $\eta$ range. Combined and symmetrised $\mbox{d}N_{\mbox{ch}}/\mbox{d}\eta$ over 30-90 PCT centrality from both SPD and FMD. Previously published results for 0-30 PCT over the full pseudorapidity range available elsewhere [PLB726.610]. Please note the systematic uncertainty from the centrality determination is encoded as a qualifier in the table header.
Full--width half--maximum of the charged--particle pseudorapidity distributions versus the average number of participants. The uncertainties on the ALICE measurements are from the fit of $f_{\text{GG}}$ only and evaluated at $95\%$ confidence level.
The charged--particle pseudorapidity density distributions scaled by the average number of participants in various pseudorapidity intervals as a function of the number of participants. Data for the 0 to 30 PCT most central events, and in ETARAP < 0.5 is available in previously published results [PLB726.610,PRC88.044910]. The uncertainties on $\left\langle N_{\text{part}}\right\rangle$ from the Glauber calculations not included (see [PRC88.044910]).
A detailed study of pseudorapidity densities and multiplicity distributions of primary charged particles produced in proton-proton collisions, at $\sqrt{s} =$ 0.9, 2.36, 2.76, 7 and 8 TeV, in the pseudorapidity range $|\eta|<2$, was carried out using the ALICE detector. Measurements were obtained for three event classes: inelastic, non-single diffractive and events with at least one charged particle in the pseudorapidity interval $|\eta|<1$. The use of an improved track-counting algorithm combined with ALICE's measurements of diffractive processes allows a higher precision compared to our previous publications. A KNO scaling study was performed in the pseudorapidity intervals $|\eta|<$ 0.5, 1.0 and 1.5. The data are compared to other experimental results and to models as implemented in Monte Carlo event generators PHOJET and recent tunes of PYTHIA6, PYTHIA8 and EPOS.
Measured pseudorapidity dependence of $dN/d\eta$ for INEL collisions at a centre-of-mass energy of 900 GeV.
Measured pseudorapidity dependence of $dN/d\eta$ for NSD collisions at a centre-of-mass energy of 900 GeV.
Measured pseudorapidity dependence of $dN/d\eta$ for INEL>0 collisions at a centre-of-mass energy of 900 GeV.
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