arXiv subjects

L. Frankfurt

Publications and source records attributed to L. Frankfurt.

At least 55 records · Page 3Linked to original sources

arXiv2005

Small-x Physics: From HERA to LHC and beyond

We summarize the lessons learned from studies of hard scattering processes in high-energy electron-proton collisions at HERA and antiproton-proton collisions at the Tevatron, with the aim of predicting new strong interaction phenomena observable in next-generation experiments at the Large Hadron Collider (LHC). Processes reviewed include inclusive deep-inelastic scattering (DIS) at small x, exclusive and diffractive processes in DIS and hadron-hadron scattering, as well as color transparency and nuclear shadowing effects. A unified treatment of these processes is outlined, based on factorization theorems of quantum chromodynamics, and using the correspondence between the "parton" picture in the infinite-momentum frame and the "dipole" picture of high-energy processes in the target rest frame. The crucial role of the three-dimensional quark and gluon structure of the nucleon is emphasized. A new dynamical effect predicted at high energies is the unitarity, or black disk, limit (BDL) in the interaction of small dipoles with hadronic matter, due to the increase of the gluon density at small x. This effect is marginally visible in diffractive DIS at HERA and will lead to the complete disappearance of Bjorken scaling at higher energies. In hadron-hadron scattering at LHC energies and beyond (cosmic ray physics), the BDL will be a standard feature of the dynamics, with implications for (a) hadron production at forward and central rapidities in central proton-proton and proton-nucleus collisions, in particular events with heavy particle production (Higgs), (b) proton-proton elastic scattering, (c) heavy-ion collisions. We also outline the possibilities for studies of diffractive processes and photon-induced reactions (ultraperipheral collisions) at LHC, as well as possible measurements with a future electron-ion collider.

hep-ph↗

arXiv2005

Charm production in antiproton-nucleus collisions at the $J/ψ$ and the $ψ'$ thresholds

We discuss the production of charmonium states in antiproton-nucleus collisions at the $ψ'$ threshold. It is explained that measurements in $\bar p A$ collisions will allow to get new information about the strengths of the inelastic $J/ψN, ψ'N$ interaction, on the production of $Λ_c$ and $\bar{D}$ in charmonium-nucleon interactions and for the first time about nondiagonal transitions $ψ' N\to J/ψN$. The inelastic $J/ψ$-nucleon cross section is extracted from the comparison of hadron-nucleus collisions with hadron-nucleon collisions. We extract the total $J/ψ$ nucleon cross section from photon-nucleon collisions by accounting for the color transparency phenomenon within the frame of the GVDM (Generalized Vector meson Dominance Model). We evaluate also within the GVDM the inelastic $ψ'$-nucleon cross section as well as the cross section for the nondiagonal transitions. Predictions for the ratio of $J/ψ$ to $ψ'$ yields in antiproton-nucleus scatterings close to the threshold of $ψ'$ production for different nuclear targets are presented.

nucl-th↗

arXiv2005

Nuclear shadowing and extraction of F_2p-F_2n at small x from deuteron collider data

We demonstrate that leading twist nuclear shadowing leads to large corrections for the extraction of the neutron structure function F_2n from the future deuteron collider data both in the inclusive and in the tagged structure function modes. We suggest several strategies to address the extraction of F_2n and to measure at the same time the effect of nuclear shadowing via the measurement of the distortion of the proton spectator spectrum in the semi-inclusive e D \to e^{\prime}pX process.

hep-ph↗

arXiv2005

Leading twist nuclear shadowing: uncertainties, comparison to experiments and higher twist effects

Using the leading twist approach to nuclear shadowing, which is based on the relationship between nuclear shadowing and diffraction on a nucleon, we calculate next-to-leading order nuclear parton distribution functions (nPDFs) and structure functions in the region $0.2 > x > 10^{-5}$ and $Q^2 \geq 4$ GeV$^2$. The uncertainties of our predictions due the uncertainties of the experimental input and the theory are quantified. We determine the relative role of the small ($\sim Q^2$) and large ($\gg Q^2$) diffractive masses in nuclear shadowing as a function of $x$ and find that the large mass contribution, which is an analog of the triple Pomeron exchange, becomes significant only for $x \le 10^{-4}$. Comparing our predictions to the available fixed-target nuclear DIS data, we argue, based on the current experimental studies of the leading twist diffraction, that the data at moderately small $x\sim 0.01$ and $Q^2 \sim 2$ GeV$^2$ could contain significant higher twist effects hindering the extraction of nPDFs from that data. Also, we find that the next-to-leading order effects in nuclear shadowing in the ratio of the nucleus to nucleon structure functions $F_2$ are quite sizable. Within the same formalism, we also present results for the impact parameter dependence of nPDFs. We also address the problem of extracting of the neutron $F_{2n}(x,Q^2)$ from the deuteron and proton data. We suggest a simple and nearly model-independent procedure of correcting for nuclear shadowing effects using $F_2^A/F_2^D$ ratios.

hep-ph↗

arXiv2004

Transverse structure of strong interactions at LHC: From diffraction to new particle production

We discuss the global structure of pp events at LHC with hard processes (particle production in two-parton collisions) on the basis of the transverse spatial characteristics of the partonic initial state. Studies of hard exclusive processes in ep scattering have shown that the transverse area occupied by partons with x >= 10^{-2} is much smaller than the size of the nucleon as it appears in generic inelastic pp collisions at high energies ("two-scale picture"). We show that this is consistent with the observation that the elastic pp amplitude at the Tevatron energy is close to the black body limit at small impact parameters. Our picture implies that inclusive heavy particle production (Higgs, SUSY) happens only in central pp collisions. At LHC energies, the final state characteristics of such events are strongly influenced by the approach to the black body limit, and thus may differ substantially from what one expects based on the extrapolation of Tevatron results. Our two-scale picture also allows us to analyze several types of hard diffractive processes observable at LHC: i) Diffractive proton dissociation into three jets, which probes small-size configurations in the proton wave function; ii) exclusive diffractive Higgs production, in which we estimate the rapidity gap survival probability; iii) inclusive diffractive processes.

hep-ph↗

arXiv2004

On the universality of cross sections of hadron-hadron(nuclei) collisions at superhigh energies

We analyze the pattern of the onset of complete absorption (the black limit) in the high energy hadron-hadron collisions. The black limit arises due to the hard and soft interaction dynamics as a function of the impact parameters b. Both hard and soft mechanisms provide universal dependence of the partial amplitude of the high energy elastic hadron- hadron scattering on the impact parameter ${\bf b}$ and result in the radius of interaction proportional to $\ln (s/s_0)$. We find that with increase of the collision energies hard interactions lead to a faster increase of the impact parameter range where the partial wave amplitudes are approaching the unitarity limit. Consequently, we argue that at super high energies whenthe radius of hadronic interactions significantly exceeds static radii of the interacting hadrons(nuclei) the ratio of total cross sections of nucleon-nucleon, meson-nucleon, hadron-nucleus, nucleus-nucleus collisions becomes equal to one. The same universality is also expected for the structure functions of nuclei: $F_{2 A}(x,Q^2)/F_{2 N}(x,Q^2)> \to 1$, at very small $x$, and for the ratio $>σ_{gamma A}/>σ_{>γp}\to 1$ at superhigh energies. We analyze how accounting for the energy dependence of the interaction radii changes the geometry of hadron-nucleus and nucleus-nucleus collisions, the energy dependence of total, absorption and inelastic cross sections, the distribution over the number of wounded nucleons in proton-nucleus collisions and find that these effects are noticeable already for the LHC energies and even more so close to the Greisen-Zatsepin-Kuzmin limit.

hep-ph↗

arXiv2004

3D parton imaging of the nucleon in high-energy pp and pA collisions

We discuss several examples of how the transverse spatial distribution of partons in the nucleon, as well as multiparton correlations, can be probed by observing hard processes (dijets) in high-energy pp (pbar p) and pA (dA) collisions. Such studies can complement the information gained from measurements of hard exclusive processes in ep scattering. The transverse spatial distribution of partons determines the distribution over pp impact parameters of events with hard dijet production. Correlations in the transverse positions of partons can be studied in multiple dijet production. We find that the correlation cross section measured by the CDF Collaboration, sigma_eff = 14.5 +/- 1.7^{+ 1.7}_{-2.3} mb, can be explained by "constituent quark" type quark-gluon correlations with r_q ~ r_N / 3, as suggested by the instanton liquid model of the QCD vacuum. Longitudinal and transverse multiparton correlations can be separated in a model-independent way by comparing multiple dijet production in pp and pA collisions. Finally, we estimate the cross section for exclusive diffractive Higgs production in pp collisions at LHC (rapidity gap survival probability), by combining the impact parameter distribution implied by the hard partonic process with information about soft interactions gained in pp elastic scattering.

hep-ph↗

arXiv2004

Large distance behaviour of light cone operator product in perturbative and nonperturbative QCD regimes

We evaluate the coordinate space dependence of the matrix elements of the commutator of the electromagnetic and gluon currents in the vicinity of the light-cone but at large distances within the parton model, DGLAP, the resummation approaches to the small x behaviour of DIS processes, and for the Unitarity Bound. We find that an increase of the commutator with relative distance $py$ as $\propto (py)f(py,y^2=t^2-r^2)$ is the generic property of QCD at small but fixed space-time interval $y^2=t^2-r^2$ in perturbative and nonperturbative QCD regimes. We explain that the factor $py$ follows within the dipole model (QCD factorization theorem) from the properties of Lorents transformation. The increase of $f(r)$ disappeares at central impact parameters if cross section of DIS may achieve the Unitarity Limit. We argue that such long range forces are hardly consistent with thermodynamic equilibrium while a Unitarity Limit may signal equilibration. Possible implications of this new long range interaction are briefly discussed.

hep-ph↗

arXiv2004

Leading twist coherent diffraction on nuclei in deep inelastic scattering at small x and nuclear shadowing

We extend the theory of leading twist nuclear shadowing to calculate leading twist nuclear diffractive parton distribution functions (nDPDFs). We observe that the quark and gluon nPDFs have different patterns of the $A$-dependence. It is found that the probability of diffraction in the quark channel increases with $A$, reaching about 30% at $x \sim 10^{-4}$ for $A \sim 200$, and weakly decreases with $Q^2$. In the gluon channel, the probability of diffraction is large for all nuclei ($\sim 40$% for heavy nuclei at $x \sim 10^{-4}$ and $Q_0^2 \sim 4$ GeV$^2$), it weakly depends on $A$ and it decreases rather fast with increasing $Q^2$ -- the probability decreases by approximately a factor of two as $Q^2$ changes from 4 GeV$^2$ to 100 GeV$^2$. We also find that nuclear shadowing breaks down Regge factorization of nDPDFs, which is satisfied experimentally in the nucleon case. All these novel effects in nDPDFs are large enough to be straightforwardly measured in ultraperipheral collisions at the LHC.

hep-ph↗

arXiv2004

Dijet production as a centrality trigger for p-p collisions at CERN LHC

We demonstrate that a trigger on hard dijet production at small rapidities allows to establish a quantitative distinction between central and peripheral collisions in pbar-p and p-p collisions at Tevatron and LHC energies. Such a trigger strongly reduces the effective impact parameters as compared to minimum bias events. This happens because the transverse spatial distribution of hard partons (x >~ 10^{-2}) in the proton is considerably narrower than that of soft partons, whose collisions dominate the total cross section. In the central collisions selected by the trigger, most of the partons with x >~ 10^{-2} interact with a gluon field whose strength rapidly increases with energy. At LHC (and to some extent already at Tevatron) energies the strength of this interaction approaches the unitarity ('black-body') limit. This leads to specific modifications of the final state, such as a higher probability of multijet events at small rapidities, a strong increase of the transverse momenta and depletion of the longitudinal momenta at large rapidities, and the appearance of long-range correlations in rapidity between the forward/backward fragmentation regions. The same pattern is expected for events with production of new heavy particles (Higgs, SUSY). Studies of these phenomena would be feasible with the CMS-TOTEM detector setup, and would have considerable impact on the exploration of the physics of strong gluon fields in QCD, as well as the search for new particles at LHC.

hep-ph↗

arXiv2003

Hard probes in heavy ion collisions at the LHC: PDFs, shadowing and $pA$ collisions

This manuscript is the outcome of the subgroup ``PDFs, shadowing and $pA$ collisions'' from the CERN workshop ``Hard Probes in Heavy Ion Collisions at the LHC''. In addition to the experimental parameters for $pA$ collisions at the LHC, the issues discussed are factorization in nuclear collisions, nuclear parton distributions (nPDFs), hard probes as the benchmark tests of factorization in $pA$ collisions at the LHC, and semi-hard probes as observables with potentially large nuclear effects. Also, novel QCD phenomena in $pA$ collisions at the LHC are considered. The importance of the $pA$ program at the LHC is emphasized.

hep-ph↗

arXiv2003

Color Screening and the Suppression of the Charmonium State Yield in Nuclear Reactions

We discuss the new data for the production of the $ψ'$ meson in pA collisions at 450 GeV at CERN-SPS (of the NA50-collaboration) [1]. We extract from the CERN data $σ(ψ' N)\approx 8$ mb under the assumption that the $ψ'$ is produced as a result of the space-time evolution of a point-like $c\bar c$ pair which expands with time to the full size of the charmonium state. In the analysis we assume the existence of a relationship between the distribution of color in a hadron and the cross section of its interaction with a nucleon. However, our result is rather sensitive to the pattern of the expansion of the wave packet and significantly larger values of $σ(ψ' N)$ are not ruled out by the data. We show that recent CERN data confirm the suggestion of [2] that color fluctuations of the strengths in charmonium-nucleon interaction are the major source of suppression of the $J/ψ$ yield as observed at CERN in both pA and AA collisions.

nucl-th↗

arXiv2003

Ion induced quark-gluon implosion

We investigate nuclear fragmentation in the central proton-nucleus and nucleus - nucleus collisions at the energies of LHC. We argue that within the semi-classical approximation because of fast increase with energy of cross sections of soft and hard interactions each nucleon is stripped in the average process off ``soft'' partons and fragments into a collection of leading quarks and gluons with large $p_t$. Valence quarks and gluons are streaming in the opposite directions when viewed in the c.m. of the produced system. The resulting pattern of the fragmentation of the colliding nuclei leads to an implosion of the quark and gluon constituents of the nuclei. The matter density produced at the initial stage in the nucleus fragmentation region is estimated to be $\geq$ 50 GeV/fm$^3$ at the LHC energies and probably $\geq$ 10 GeV/fm$^3$ at RHIC.

nucl-th↗

arXiv2003

Hard Photodisintegration of a Proton Pair in 3He

Hard photodisintegration of the deuteron has been extensively studied in order to understand the dynamics of the transition from hadronic to quark-gluon descriptions of the strong interaction. In this work, we discuss the extension of this program to hard photodisintegration of a $pp$ pair in the $^3$He nucleus. Experimental confirmation of new features predicted here for the suggested reaction would advance our understanding of hard nuclear reactions. A main prediction, in contrast with low-energy observations, is that the $pp$ breakup cross section is not much smaller than the one for $pn$ break up.In some models, the energy-dependent oscillations observed for $pp$ scattering are predicted to appear in the $γ^3{\rm He} \to p p + n$ reaction. Such an observation would open up a completely new field in studies of color coherence phenomena in hard nuclear reactions. We also demonstrate that, in addition to the energy dependence, the measurement of the light-cone momentum distribution of the recoil neutron provides an independent test of the underlying dynamics of hard disintegration.

nucl-th↗

arXiv2003

The universal psi-prime-prime to psi-prime ratio as unambiguous signature for hard physics in nuclear reactions and in decays of beauty hadrons

We suggest the ratio of the $ψ''(3770)/ψ'(3686)$ production cross sections as an unambiguous probe of the dominance of hard, point-like physics in charmonium production. If hard physics dominates the charmonium production the ratio : ${σ(ψ'')\overσ(ψ')}\approx {Γ(ψ''\to l^+l^-)\over Γ(ψ'\to l^+l^-)} \approx 0.1$ is independent of the process. We argue that since the dominant $D\bar D$ decay mode of the $ψ''$-meson can be detected with a high efficiency at the current facilities the effective counting rate for the $ψ''$ production should be comparable to that of the $ψ'$ and hence it could be observed at the $B$-factories. Even in hadron induced processes the ratio will not be changed significantly by final state interactions due to the similar mass and size of these two charmonium states. A possible exception are the charmonium state interactions with low energy particles -- comovers -- which are especially relevant for the heavy ion collisions.

hep-ph↗

arXiv2003

Coherent Photoproduction from Nuclei

We argue that study of the cross section of coherent photo(electro) production of vector mesons off nuclear targets provides an effective method to probe the leading twist hard QCD regimes of color transparency and perturbative color opacity as well as the onset of black body limit (BBL) in the soft and hard QCD interactions. In the case of intermediate energies we use the Generalized Vector Dominance Model to take into account coherence effects for two distinctive limits - the soft interactions for production of $ρ$ and $ρ'$-mesons and the color transparency regime for production of charmonium states. We demonstrate that GVDM describes very well $ρ$-meson coherent photoproduction at $6 \leq E_γ \leq 10$ GeV and predict an oscillating energy dependence for the coherent charmonium production. In the limit of small $x$ we find that hard QCD leads to onset of the perturbative color opacity even for production of very small onium states, like $Υ$. The advantages of the process of coherent dijet photoproduction and hard diffractive processes in general for probing the onset of BBL and measuring the light-cone wave function of the photon in a hard scattering regime where decomposition over twists becomes inapplicable are explained. We apply this analysis to the study of the photon induced coherent processes in Ultra Peripheral Collisions of ions at LHC and demonstrate that the counting rates will be sufficient to study the physics of color opacity and color transparency at the energies beyond the reach of the electron-nucleon(nucleus) colliders.

hep-ph↗

arXiv2003

Onset of Perturbative Color Opacity at Small x and Upsilon Coherent Photoproduction off heavy nuclei at LHC

We study photon-induced coherent production of Upsilon in ultraperipheral heavy ion collisions at LHC and demonstrate that the counting rates will be sufficient to measure nuclear shadowing of generalized gluon distributions. This will establish the transition from the regime of color transparency to the regime of perturbative color opacity in an unambiguous way. We argue that such measurements will provide the possibility to investigate the interaction of ultra-small color dipoles with nuclei in QCD at large energies, which are beyond the reach of the electron-nucleon (nucleus) colliders, and will unambiguously discriminate between the leading twist and higher twist scenarios of gluon nuclear shadowing.

hep-ph↗

arXiv2003

Probing coherent charmonium photoproduction off light nuclei at medium energies

We demonstrate how the elementary amplitudes $γN\to ΨN$, the amplitude of the nondiagonal $J/ψN\Leftrightarrow ψ' N$ transition, and the total $J/ψN$ and $ψ' N$ cross sections can be determined from measurements of the coherent $J/ψ$ and $ψ'$ photoproduction off light nuclei at moderate energies. For this purpose we provide a detailed numerical analysis of the coherent charmonium photoproduction off silicon within the generalized vector dominance model (GVDM) adjusted to account for the physics of charmonium models and color transparency phenomenon.

hep-ph↗