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Thomas A. Trainor

Publications and source records attributed to Thomas A. Trainor.

At least 19 recordsLinked to original sources

Few-gluon interactions and multipole radiation in high energy nuclear collisions

Broad claims have been made over years about achievement of quark-gluon plasma (QGP) formation in high-energy heavy-ion collisions based on certain phenomena anticipated for QGP formation. More recently, similar phenomena have appeared in smaller collision systems. In response, the original narrative associated with QGP formation has been altered, with introduction of novel concepts such as ``QGP droplets'' appearing even in p-p collisions. In contrast, alternative research has revealed novel aspects of p-p and p-Pb collisions such as exclusivity for N-N interactions and consequences of time dilation for interacting partons. Collision geometry for A-B collisions has also been shifted from conventional Glauber Monte Carlo simulations (strongly biased) to inversion of ensemble-mean $\bar p_t$ data. The present study demonstrates that jet production dominates all aspects of $p_t$ spectrum structure and minimum-bias angular correlations over the full $p_t$ range of accessible data. Recently, progress has been made on interpretation of azimuth quadrupole ($v_2$) data, reexpressed in terms of total correlated-pair number as an extensive measure, leading to inference of quadrupole $m_t$ spectra and quadrupole amplitude variation across all A-B collision systems that show strong indication of the effects of exclusivity. The same approach applied to jet angular correlations shows similar trends. A comprehensive quantitative description of the two QCD phenomena across all collision systems has emerged. The underlying processes are few-gluon interactions producing characteristic correlation structures corresponding to color-dipole (two-gluon, dijet) and color-quadrupole (three-gluon) radiation. That description does not rely on any role for a dense medium, multiple scattering, QGP droplets or hydro theory. It applies the same rules uniformly to small and large collision systems.

hep-ph

Quadrupole spectra derived from 2.76 TeV Pb-Pb identified-hadron $\bf v_2(p_t)$ data

$p_t$-differential quantity $v_2(p_t)$ is meant to measure elliptic flow manifested by a dense QCD medium formed in high-energy nucleus-nucleus collisions. Elliptic flow may be referred to more neutrally as a cylindrical quadrupole component of the transverse motion of particle sources within a collision. As defined, $v_2(p_t)$ relies on an implicit assumption that almost all produced particles emerge from a single source. This article describes a detailed study of the algebraic structure of $v_2(p_t)$. A procedure is developed to derive a common monopole boost (radial flow) value and quadrupole $p_t$ spectra for several hadron species. The method is applied to $v_2(p_t)$ data for three hadron species from 2.76 TeV Pb-Pb collisions. According to available $v_2(p_t)$ data the assumption of a single dominant particle source within A-A collisions is unjustified. Combined with a previous study of quadrupole amplitude variation for 200 GeV $p$-$p$ collisions these results demonstrate that quadrupole structure is related to a novel QCD process separate from projectile-nucleon dissociation and jet production. Given quadrupole evolution it is unlikely that a hydrodynamic description is relevant to that process.

hep-ph

Azimuth Quadrupole Spectra derived from 2.76 TeV Pb-Pb PID Differential $v_2(p_t)$ Data

$v_2(p_t)$ data are intended to estimate the amplitude of an azimuth component of particle spectra interpreted as representing elliptic flow of a dense QCD medium. As defined, $ v_2(p_t)$ is a ratio with a single-particle spectrum appearing in its denominator. Its numerator represents a spectrum Fourier component arising from a boosted particle source. The Cooper-Frye (CF) formalism may be used to describe emission from a boosted source. CF analysis reveals that the $v_2(p_t)$ numerator includes a factor $ p_t$ in the boost frame with major consequences for data interpretation. A unique quadrupole $p_t$ spectrum may be isolated from $v_2(p_t)$ data and compared directly with the single-particle spectrum in the $v_2$ denominator and with hydro theory. A monopole boost (aka radial flow) value may be estimated from $v_2(p_t)$ data. Several novel results emerge via the Cooper-Frye analysis.

hep-ph

Space-time Geometry of Small and Large Collision Systems

Identified-hadron spectra from 2.76 TeV Pb-Pb and $p$-$p$ collisions are analyzed via a two-component (soft + hard) model (TCM) of hadron production in high-energy nuclear collisions. The object of study is evidence for jet suppression in small and large collision systems. Conventional methods include Pb-Pb centrality determination via classical Glauber model and evidence for high-$ p_t$ suppression sought via spectrum ratio $R_\text{AA}$. Previous $p$-Pb studies questioned the validity of the classical Glauber model. In the present study A-A geometry is determined instead via ensemble-mean $\bar p_t$ data. Based on certain features of Pb-Pb spectra the validity of the factorization assumption is also questioned. The entire jet contribution is therefore treated without factorization in ratio to a $p$-$p$ spectrum model as reference. These new results indicate that exclusivity (a nucleon may only interact with one nucleon ``at a time'') and time dilation (experienced by participant partons) play an essential role in jet production not incorporated in Glauber model or hard-component factorization. The combination determines an effective number of N-N collisions per participant nucleon given specific Pb-Pb centrality: multiple collisions if associated with low-$x$ (slow) partons, a single collision if associated with high-$x$ (fast) partons experiencing strong time dilation. The effect on parton fragment (jet) distributions on $p_t$ may be misinterpreted as jet suppression, but is similar to projectile-proton fragment distributions on pseudorapidity from fixed-target $p$-A experiments where low-$η$ densities scale with A while high-$η$ densities are consistent with $p$-$p$ collisions. $p$-Pb and Pb-Pb spectra similarly analyzed reflect the same physics given different geometries. Actual jet suppression related to QGP formation is not evident.

hep-ph

Space-time geometry of small and large collision systems at LHC energies

Identified-hadron (PID) spectra from 2.76 TeV Pb-Pb and $p$-$p$ collisions are analyzed via a two-component (soft + hard) model (TCM) of hadron production in high-energy nuclear collisions. The Pb-Pb TCM is adopted with minor changes from a recent analysis of PID hadron spectra from 5 TeV $p$-Pb collisions. The object of study is evidence for jet suppression in small and large collision systems as indicating quark-gluon plasma (QGP) formation there. Conventional methods have included Pb-Pb centrality determination via classical Glauber model and evidence for high-$p_t$ suppression sought via spectrum ratio $R_\text{AA}$. In the present study alternative geometry determination via ensemble-mean $\bar p_t$ data reveals that the number of participant nucleons in central Pb-Pb collisions is about 1/3 of the Glauber estimate. Based on certain features of Pb-Pb spectra the validity of the factorization assumption is also questioned. The entire jet contribution is therefore treated without factorization in ratio to a $p$-$p$ spectrum model as reference. The new results indicate that exclusivity and time dilation (experienced by participant partons) play an essential role in jet production not incorporated in Glauber model or hard-component factorization. The combination determines an effective number of N-N collisions per participant nucleon given specific Pb-Pb centrality. The effect on parton fragment (jet) distributions on $p_t$ is similar to projectile-proton fragment distributions on pseudorapidity from fixed-target $p$-A experiments where low-$η$ densities scale with A while high-$η$ densities are consistent with $p$-$p$ collisions. $p$-Pb and Pb-Pb spectra similarly analyzed reflect the same physics given different geometries. Jet suppression related to QGP formation is not evident.

hep-ph

Systematic analysis of (multi)strange hadron $\bf p_t$ spectra from small collision systems at the large hadron collider

Small collision systems, e.g. $p$-$p$ and $p$-Pb collisions, comprise a potential reference for more-central A-A collisions with regard to production (or not) of a thermalized quark-gluon plasma (QGP). Small systems with low particle densities should evolve according to simple QCD mechanisms including projectile-nucleon dissociation and dijet production. But it is now claimed that QGP may appear even in $p$-$p$ collisions based on apparent evidence for radial flow from shape evolution of $p_t$ spectra and from variation of total yields for strange and multistrange hadrons relative to statistical models. The present study confronts such arguments with a detailed analysis of $p_t$ spectra for strange and multistrange hadrons from 5 TeV $p$-Pb collisions and 13 TeV $p$-$p$ collisions via a two-component model (TCM) of hadron production. Based on previous analysis of lighter hadrons the TCM accurately predicts spectra for Cascade and Omega hadrons. Significant results include multistrange hadron spectra dominated by jet fragments, variation of strange-hadron abundances exaggerated by certain plot formats and spectrum extrapolations, and detailed relations between ensemble-mean $\bar p_t$ variation with event charge density and small shifts of jet fragment distributions on $p_t$. Within a TCM context $p$-$p$ and $p$-Pb collision systems with comparable jet contributions are found to be equivalent within data uncertainties. Attribution of certain data features to radial flow is doubtful.

hep-ph

Analysis of identified-hadron spectra from fixed-target $\bf p$-A collisions and the nature of the Cronin effect

In this study fixed-target spectra obtained by the Chicago-Princeton (C-P) collaboration at Fermilab in the mid seventies are analyzed with a two-component spectrum model (TCM) that has been applied successfully to a number of collision systems at the RHIC and LHC in the past. It is from C-P data that the Cronin effect was first inferred. TCM analysis leads to factorization of collision-energy and target A dependences. Over the energy range of C-P data energy dependence is restricted to model-function shapes on $p_t$ whereas A dependence is restricted to particle densities for three hadron species and their antiparticles. A dependence for soft and hard components varying separately as power laws $A^{α_s}$ and $A^{α_h}$ with fixed exponents is a central finding of this study. The trends $A^{α(p_t)}$ inferred by the C-P collaboration resulted from treating spectra as monolithic which confuses the distinct $p_t$ (model functions) and A (particle densities) dependences. The Cronin effect resulting from that confusion is easily explained in a TCM context. Power-law trends for pions at 25 GeV are quantitatively compatible with trends at LHC energies. The relation of exponents $a_s$ and $a_h$ to $p$-A centrality is examined in detail. A Glauber model of $p$-A centrality seems invalid.

hep-ph

Some physics of small collision systems

In recent years certain experimental results from small collision systems (e.g. p-p, d-Au, p-Pb) at the RHIC and LHC have been reinterpreted as evidence for formation therein of a dense flowing medium (QGP) despite small collision volumes. Systems that had been assigned as simple references (e.g. cold nuclear matter) for larger A-A collisions would then no longer play that role. This presentation examines conventional interpretations of certain data features in the context of a two-component (soft+hard) collision model. Specific topics include centrality determination for p-Pb collisions, interpretation (or not) of nuclear modification factors, significance of claims for strangeness enhancement, and interpretation of the "ridge" in p-p collisions. For p-p and p-Pb data analysis results indicate that p-Pb collisions are simple linear superpositions of p-N collisions, and N-N collisions within small systems generally follow simple and consistent rules. However, there is more to be learned about "basic" QCD in small systems with improved analysis methods.

hep-ph

Comparison of spectrum models as applied to single-particle $\bf p_t$ spectra from high-energy p-p collisions and their physical interpretations

A parametrized mathematical model is required to extract the information carried by transverse momentum $p_t$ spectra from high-energy nuclear collisions and subject it to physical interpretation in terms of possible hadron production mechanisms. The importance of proper model construction and implementation has increased with the emergence of claims for ``collectivity'' (flows) associated with small collision systems (e.g. $p$-$p$ and $p$-Pb). A two-element spectrum model, denoted herein as the Bylinkin model, includes an exponential element and a ``power-law'' element interpreted by the authors to represent emission from a thermalized source and from jet production respectively. Application of the Bylinkin model to various collision systems has led to conclusions about achievement of thermalization and other characteristics of nuclear dynamics. In connection with the Bylinkin model there has emerged theoretical conjecture that the thermalization mechanism signaled by the exponential element is hard processes interacting with quantum entanglement within projectile protons. Predating the Bylinkin model is a two-component (soft+hard) model (TCM) derived empirically from the evolution of $p$-$p$ spectrum data with event multiplicity as a form of data compression. The TCM has been applied to many collision systems and hadron species from which a systematic description of high-energy nuclear collisions has emerged. The Bylinkin model can be seen as a limiting case of the TCM model functions that is unsuited to represent underlying production mechanisms. The present study provides detailed comparisons of the two models for a variety of situations and contrasts two very different data interpretations that result.

hep-ph

Nuclear modification factors and the Cronin effect

Nuclear modification factors (NMFs) applied to A-B collision systems consist of $p_t$ spectrum ratios rescaled by an estimated number of nucleon-nucleon binary collisions. Interest in NMFs is motivated by possible modification (suppression?) of jet production in more-central A-B collisions conjectured to arise from a deconfined quark-gluon plasma or QGP. Interpretation of NMFs is complicated by the so-called Cronin effect wherein similar ratios derived from fixed-target p-A data exhibited suppression at lower $p_t$ and enhancement at higher $p_t$ with increasing atomic weight A. This presentation describes precision analysis of identified-hadron spectra from 5 TeV $p$-Pb collisions that accurately isolates the entire jet contribution. Evolution of NMF spectrum ratios with $p$-Pb centrality is interpreted in terms of variation of corresponding jet contributions to spectra. The same method is then applied to Chicago-Princeton fixed-target spectrum data from the seventies wherein the Cronin effect was first observed. Soft and hard particle densities vary as fixed powers of $A$. Inferred jet contributions are quantitatively consistent with extrapolation from higher energies. The Cronin effect is a simple result of rescaling particle-density spectra by factor $1/A^{1/3}$.

hep-ph

Nuclear modification factors for identified hadrons from 5 TeV $p$-Pb collisions and their relation to the Cronin effect

Nuclear modification factors (NMFs) are spectrum ratios rescaled by an estimate of the number of binary N-N collisions $N_{bin}$ within an A-B collision. NMFs from more-central A-A collisions have been interpreted to indicate formation of a quark-gluon plasma (QGP) when compared with results from control $p$-A or $d$-A collisions. However, subsequent analyses of such control systems are now also interpreted to indicate QGP formation, calling into question proper interpretation of NMFs. An additional complication is the nature of the so-called ``Cronin effect'' contribution to NMF structure that is not well understood. In the present study a two-component model of hadron production (TCM) is applied to identified-hadron (PID) $p_t$ spectra from 5 GeV $p$-Pb collisions extending up to 20 GeV/c. Hard components (jet fragment distributions) are accurately isolated and their evolution with collision centrality parametrized. The TCM is then applied to NMFs without rescaling by $N_{bin}$, allowing direct comparisons between NMF evolution and hard-component evolution with centrality. To address the Cronin effect the TCM is applied to fixed-target $p$-A spectra from the Chicago-Princeton (C-P) collaboration, the origin of the Cronin effect. Inferred C-P spectrum hard components are quantitatively consistent with extrapolation of jet-related structure from higher energies. As a general conclusion spectrum ratios such as NMFs are difficult to interpret, whereas direct differential analysis of isolated spectra may be interpreted simply and accurately.

hep-ph

How the Blast-Wave Model Describes PID Hadron Spectra from 5 TeV p-Pb Collisions

The blast-wave (BW) spectrum model has been applied extensively to nucleus-nucleus collision data with the intention to demonstrate formation of a quark-gluon plasma (QGP) in more-central A-A collisions. More recently the BW model has been applied to p-p, d-Au and p-Pb collisions. Such results are interpreted to indicate that ``collectivity'' (flows) and QGP appear in smaller systems. I consider variations of the BW model and supporting assumptions. In this talk I review BW analysis of identified-hadron spectra from 5 TeV p-Pb collisions and examine the shape evolution of model spectra with collision centrality. I evaluate data-model fit quality using conventional statistical measures. I conclude that the BW model is not a valid data model.

hep-ph

Mass-dependent transport of hadron species from soft to hard (nonjet to jet) spectrum components within small collision systems at the large hadron collider

In previous analyses a two-component (soft+hard) model (TCM) was developed for identified-hadron (PID) spectra from 5 TeV $p$-Pb and 13 TeV $p$-$p$ collisions. Spectrum data are generally described within their statistical uncertainties. Within the model are coefficients $z_{si}(n_s)$ and $z_{hi}(n_s)$ that denote the fractions of hadron species $i$ within total soft $\bar ρ_s$ and hard $\bar ρ_h$ charge densities and that vary significantly with event index $n_s = Δη\bar ρ_s$. This letter reports that variation of those coefficients with $n_s$ implies transport of hadron species from soft component to hard component, increasingly with increased jet production, while conserving the total particle number for each species that is predicted by a statistical model. The extent of transport is simply proportional to hadron mass.

hep-ph

Systematic analysis of identified-hadron $\bf p_t$ spectra from 13 TeV p-p collisions

Identified-hadron (PID) $p_t$ spectra from 13 TeV $p$-$p$ collisions are compared with a two-component (soft+hard) model (TCM) that accurately distinguishes jet-related hadron production (hard component) from nonjet projectile-nucleon dissociation (soft component). The present $p$-$p$ study is similar to and is guided by recent TCM studies of PID spectra from 5 TeV $p$-Pb collisions. The combined analyses serve to establish a well-understood quantitative description of PID hadron production in small collision systems as a control experiment. The control can then be contrasted with conventional interpretations of collision data from more-central A-A collisions as indicating formation of a quark-gluon plasma (QGP). PID $p_t$ spectra from 13 TeV $p$-$p$ collisions exhibit simple consistency with spectra from 5 TeV $p$-Pb collisions. Hadron species abundances are consistent with statistical-model trends predicted prior to commencement of the large hadron collider program. Differential spectrum structure and various ratio measures are quantitatively explained by the TCM, including its jet contribution, and admit no room for claims of hydrodynamic flows in small collision systems.

hep-ph

Evaluating the blast-wave model as a description of 5 TeV p-Pb $\bf p_t$ spectra

The blast-wave (BW) spectrum model is interpreted to reveal relativistic motion (collective flow) of the hadron emission system relative to the center-of-momentum (CM) frame in high-energy A-B collisions. In essence, any spectrum deviation in the CM frame from a reference distribution (e.g. Boltzmann distribution on transverse mass $m_t$) is interpreted to reveal a flowing particle source. The ALICE collaboration has applied the BW model to identified hadron (PID) spectra for four hadron species from 5 TeV $p$-Pb collisions. From model fits BW parameters $T_{kin}$ (freeze-out temperature) and $\langle β_t \rangle$ (transverse speed) are inferred that suggest strong radial expansion in more-central $p$-Pb collisions. Such results from the small $p$-Pb collision system are counterintuitive given that strong radial expansion should be driven by large density gradients. The present study is intended to address that problem. Several methods are employed to evaluate the quality of the BW model data description, including logarithmic derivatives and the Z-score statistic. The stability of the BW model definition across several applications to data is investigated. The BW model data description is compare to that of the two-component (soft+hard) model (TCM) that has been previously applied to the same $p$-Pb PID spectra. The general conclusion is that the BW model is falsified by $p$-Pb PID spectrum data according to standard statistical measures and that the fitted parameter values do not convey the intended meaning. Statistically acceptable data descriptions provided by the TCM indicate that other collision mechanisms (projectile-nucleon dissociation, dijet production), that are consistent with conventional QCD, are more likely responsible for observed spectrum characteristics.

hep-ph

Precision identified-hadron spectrum analysis for 5 TeV $\bf p$-$\bf Pb$ collisions -- Part I

The $p$-Pb collision system occupies a unique position regarding physical interpretation of high-energy particle data. More-peripheral $p$-Pb is indistinguishable from $p$-$p$ collision while more-central $p$-Pb overlaps an interval of Pb-Pb centrality wherein it has been claimed that quark-gluon plasma (QGP) formation is achieved. One basis for such claims is certain features and centrality trends of identified-hadron (PID) $p_t$ spectra, including similarities between $p$-Pb and Pb-Pb spectra. In order to verify or falsify such claims it is essential that PID spectra for $p$-Pb collisions (as a control experiment) be understood in terms of fundamental QCD principles. This article (Part I of a two-part report) presents application of a two-component (soft + hard) model (TCM) to PID spectra from 5 TeV $p$-Pb collisions. Certain issues remaining from a preliminary PID TCM analysis (e.g. proton detection inefficiency) are resolved. Coefficients for TCM model functions previously assumed independent of $p$-Pb centrality are obtained directly from spectra. Jet-related spectrum hard components are precisely isolated and their shape evolution with centrality determined relative to a fixed TCM as reference. In Part II the TCM is further elaborated to describe varying spectrum hard components (and therefore entire spectra) within data statistical uncertainties. The completed PID TCM is then used to investigate properties of spectrum and yield ratios (e.g. $p/π$) and $\bar p_t$ data.

hep-ph

Precision identified-hadron spectrum analysis for 5 TeV $\bf p$-$\bf Pb$ collisions -- Part II

This is the second part of a two-part article on precision modeling of identified-hadron (PID) $p_t$ spectra from 5 TeV $p$-Pb collisions. In Part I a revised two-component (soft + hard) model (TCM) of PID spectra was introduced, an apparent detection inefficiency for protons was corrected and jet-related spectrum hard components isolated via an improved method were compared to a fixed TCM serving as reference. In the present article (Part II) the TCM is further elaborated to describe centrality variation of spectrum hard components (and therefore entire spectra) within data statistical uncertainties as determined by a standard statistical measure (Z-scores). The completed PID TCM is then used to investigate properties of spectrum and yield ratios (e.g. $p/π$ ratios) and ensemble-mean $\bar p_t$ data. Systematic differences are observed between meson and baryon hard components. With increasing $p$-Pb centrality meson hard components shift to lower $p_t$ while baryon hard components shift to higher $p_t$. Those trends explain quantitatively the main features and centrality variation of spectrum ratios. Ensemble-mean $\bar p_t$ trends are also predicted at the level of data statistical uncertainties, and details of the $\bar p_t$ centrality trends are explained quantitatively.

hep-ph

Fluctuations and Selection Bias in 5 and 13 TeV p-p Collisions: Where are the jets?

The ALICE collaboration recently reported high-statistics $\bf p_t$ spectra from 5 TeV and 13 TeV p-p collisions with intent to determine the role of jets in high-multiplicity collisions. In the present study a two-component (soft + hard) model (TCM) of hadron production in p-p collisions is applied to ALICE $\bf p_t$ spectra. As in previous TCM studies of A-B collision systems jet and nonjet contributions to $\bf p_t$ spectra are accurately separated over the entire $\bf p_t$ acceptance. The statistical significance of data-model differences is established leading to insights concerning selection bias and spectrum model validity.

hep-ph