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A bstract Measurements of the charge-dependent two-particle angular correlation function in proton-lead (pPb) collisions at a nucleon-nucleon center-of-mass energy of s NN = 8 . 16 TeV and lead-lead (PbPb) collisions at s NN = 5 . 02 TeV are reported. The pPb and PbPb data sets correspond to integrated luminosities of 186 nb − 1 and 0.607 nb − 1 , respectively, and were collected using the CMS detector at the CERN LHC. The charge-dependent correlations are characterized by balance functions of same- and opposite-sign particle pairs. The balance functions, which contain information about the creation time of charged particle pairs and the development of collectivity, are studied as functions of relative pseudorapidity (∆ η ) and relative azimuthal angle (∆ ϕ ), for various multiplicity and transverse momentum ( p T ) intervals. A multiplicity dependence of the balance function is observed in ∆ η and ∆ ϕ for both systems. The width of the balance functions decreases towards high-multiplicity collisions in the momentum region < 2 GeV, for pPb and PbPb results. Integrals of the balance functions are presented in both systems, and a mild dependence of the charge-balancing fractions on multiplicity is observed. No multiplicity dependence is observed at higher transverse momentum. The data are compared with hydjet , hijing , and ampt generator predictions, none of which capture completely the multiplicity dependence seen in the data. The comparison of results with different center-of-mass energies suggests that the balance functions become narrower at higher energies, which is consistent with the idea of delayed hadronization and the effect of radial flow.

A bstract Two-particle azimuthal correlations have been measured in neutral current deep inelastic ep scattering with virtuality Q 2 > 5 GeV 2 at a centre-of-mass energy s = 318 GeV recorded with the ZEUS detector at HERA. The correlations of charged particles have been measured in the range of laboratory pseudorapidity − 1 . 5 < η < 2 . 0 and transverse momentum 0 . 1 < p T < 5 . 0 GeV and event multiplicities N ch up to six times larger than the average 〈 N ch 〉 ≈ 5. The two-particle correlations have been measured in terms of the angular observables c n {2}  = 〈〈 cosn Δ φ 〉〉, where n is between 1 and 4 and ∆ φ is the relative azimuthal angle between the two particles. Comparisons with available models of deep inelastic scattering, which are tuned to reproduce inclusive particle production, suggest that the measured two-particle correlations are dominated by contributions from multijet production. The correlations observed here do not indicate the kind of collective behaviour recently observed at the highest RHIC and LHC energies in high-multiplicity hadronic collisions.

The dynamics of electrically neutral or charged particles around a magnetized Kerr–Newman black hole immersed in an external electromagnetic field can be described by a dimensionless Hamiltonian system. This Hamiltonian is given an appropriate time transformation, which allows for construction of explicit symplectic integrators. Selecting one of the integrators with good accuracy, long-term stabilized Hamiltonian error behavior and less computational cost, we employ the 0–1 binary test correlation method to distinguish between regular and chaotic dynamics of electrically neutral or charged particles. The correlation method is almost the same as the techniques of Poincaré map and fast Lyapunov indicators in identifying the regular and chaotic two cases. It can well describe the dependence of the transition from regularity to chaos on varying one or two dynamical parameters. From a statistical viewpoint, chaos occurs easily under some circumstances with an increase of the external magnetic field strength and the particle electric charge and energy or a decrease of the black hole spin and the particle angular momentum. A small change of the black hole electric charge does not very sensitively affect the dynamics of neutral particles. With the black hole electric charge increasing, positively charged particles do not easily yield chaotic motions, but negatively charged particles do. On the other hand, the effect of a small change of the black hole magnetic charge on the dynamical transition from order to chaos has no universal rule.

Highly accurate and precise electronic structure calculations of heavy radioactive atoms and their molecules are important for several research areas, including chemical, nuclear, and particle physics. Ab initio quantum chemistry can elucidate structural details in these systems that emerge from the interplay of relativistic and electron correlation effects, but the large number of electrons complicates the calculations, and the scarcity of experiments prevents insightful theory-experiment comparisons. Here we report the spectroscopy of the 14 lowest excited electronic states in the radioactive molecule radium monofluoride (RaF), which is proposed as a sensitive probe for searches of new physics. The observed excitation energies are compared with state-of-the-art relativistic Fock-space coupled cluster calculations, which achieve an agreement of ≥99.64% (within  ~12 meV) with experiment for all states. Guided by theory, a firm assignment of the angular momentum and term symbol is made for 10 states and a tentative assignment for 4 states. The role of high-order electron correlation and quantum electrodynamics effects in the excitation energies is studied and found to be important for all states. Heavy-atom molecules can possess complicated electronic structures due to pronounced electron correlation and relativistic effects. Here, the authors describe electronic states of RaF in detail by combining accurate spectroscopy and theory approaches.

In this study, we develop the colour string model of particle production, based on the multi-pomeron exchange scenario, to address the controversial origin of the flow signal measured in proton–proton inelastic interactions. Our approach takes into account the string–string interactions but does not include a hydrodynamic phase. We consider a comprehensive three-dimensional dynamics of strings that leads to the formation of strongly heterogeneous string density in an event. The latter serves as a source of particle creation. The string fusion mechanism, which is a major feature of the model, modifies the particle production and creates azimuthal anisotropy. Model parameters are fixed by comparing the model distributions with the ATLAS experiment proton–proton data at the centre-of-mass energy s=13 TeV. The results obtained for the two-particle angular correlation function, C(Δη,Δϕ), with Δη and Δϕ differences in, respectively, pseudorapidities and azimuthal angles between two particles, reveal the resonance contributions and the near-side ridge. Model calculations of the two-particle cumulants, c22, and second order flow harmonic, v22, also performed using the two-subevent method, are in qualitative agreement with the data. The observed absence of the away-side ridge in the model results is interpreted as an imperfection in the definition of the time for the transverse evolution of the string system.

The beta decay of the free neutron provides several probes to test the Standard Model of particle physics as well as to search for extensions thereof. Hence, multiple experiments investigating the decay have already been performed, are under way or are being prepared. These measure the mean lifetime, angular correlation coefficients or various spectra of the charged decay products (proton and electron). NoMoS, the n eutron decay pr o ducts mo___ mentum s pectrometer, presents a novel method of momentum spectroscopy: it utilizes the R × B drift effect to disperse charged particles dependent on their momentum in an uniformly curved magnetic field. This spectrometer is designed to precisely measure momentum spectra and angular correlation coefficients in free neutron beta decay to test the Standard Model and to search for new physics beyond. With NoMoS, we aim to measure inter alia the electron-antineutrino correlation coefficient a and the Fierz interference term b with an ultimate precision of Δ a / a < 0.3% and Δ b < 10 −3 respectively. In this paper, we present the measurement principles, discuss measurement uncertainties and systematics, and give a status update.

In this work, we present the results of a component-level analysis with Monte Carlo simulations, which aid the interpretation of recent ALICE results of the azimutal correlation distribution of prompt D mesons with charged hadrons in pp and p–Pb collisions at sNN = 5.02 TeV. Parton-level contributions and fragmentation properties are evaluated. Charm and beauty contributions are compared in order to identify the observables that serve as sensitive probes of the production and hadronisation of heavy quarks.

Measurements of 2D transverse momentum correlations on (pt1, Pt2) from minimum-bias Au+Au collisions at 200 GeV at STAR are presented and discussed. These correlations, formed from all charged particles with pt ≥ 0.15 GeV/c, |η| ≤ 1, and 2π in azimuth, show a broad peak extending from pt=0.5–4.0 GeV/c. The broad peak is observed in both like- and unlike-sign charge combinations and for same- and away-side relative azimuth angles. Interestingly, the peak in the data for away-side or back-to-back pairs persists even in more-central collisions, remaining at approximately the same pt for all centralities. These data are compared to theoretical models and the pt dependence of the same-side angular correlation structure.

Measurements of 2D transverse momentum correlations on (pt1, pt2) from minimum-bias Au+Au collisions at [radical]s sub(NN) = 200 GeV at STAR are presented and discussed. These correlations, formed from all charged particles with p sub(t) > or = 0.15 GeV/c, |[eta]| [< or =] 1, and 2[pi] in azimuth, show a broad peak extending from p sub(t)=0.5-4.0 GeV/c. The broad peak is observed in both like- and unlike-sign charge combinations and for same- and away-side relative azimuth angles. Interestingly, the peak in the data for away-side or back-to-back pairs persists even in more-central collisions, remaining at approximately the same p sub(t) for all centralities. These data are compared to theoretical models and the p sub(t) dependence of the same-side angular correlation structure.