arXiv subjects
Publications and source records attributed to E. Levin.
This talk is given at "Continious Advances in QCD", Minnesota, April 16-19,1998. It is a brief report on our results in high parton density QCD. The main goal of this talk is to discuss the new evolution equation which was obtained and solved by A.Ayala, M. Ducati and E.Levin and by E. Gotsman, E. Levin and U. Maor, and to share with you the physics can be recovered by this equation.
The energy dependence for the survival probability of large rapidity gaps (LRG) $< \mid S \mid^2 >$, is calculated in an Eikonal model assuming a Gaussian opacity. The parameters determining $< \mid S \mid^2 >$ are evaluated directly from experimental data, without further recourse to models. We find that $< \mid S \mid^2 >$ decreases with increasing energy, in line with recent results for LRG dijet production at the Tevatron.
This is the first part of my lectures on the Pomeron structure which I am going to read during this academic year at the Tel Aviv university. The main goal of these lectures is to remind young theorists as well as young experimentalists of what are the Reggeons that have re-appeared in the high energy phenomenology to describe the HERA and the Tevatron data. Here, I show how and why the Reggeons appeared in the theory, what theoretical problems they have solved and what they have failed to solve. I describe in details what we know about Reggeons and what we do not. The major part of these lectures is devoted to the Pomeron structure, to the answer to the questions: what is the so called Pomeron; why it is so different from other Reggeons and why we have to introduce it. In short, I hope that this lectures will be the shortest way to learn everything about Reggeons from the beginning to the current understanding. I concentrate on the problem of Reggeons in this lectures while the Reggeon interactions or the shadowing corrections I plan to discuss in the second part of my lectures. I include here only a short lecture with an outline of the main properties of the shadowing corrections to discuss a correct (from the point of the Reggeon approach) strategy of the experimental investigation of the Pomeron structure.
A new mechanism for hard inclusive production, which leads to a violation of the factorization theorem, is suggested. The mechanism is illustrated by a detailed discussion of Higgs meson production in high energy deutron-deutron scattering. Numerical estimates for the effect are given for high energy hadron (nucleus) scattering.
The measured forward slope in elastic and inelastic leptoproduction of vector mesons differ by a substantial amount. In an attempt to describe this phenomenon we construct a two radii model for the target proton, and estimate the effective parameters of the hard Pomeron obtained from a pQCD dipole model with eikonal shadowing corrections (SC). We show that the SC reduce the intercept of the hard Pomeron and generate an effective shrinkage of the forward peak and a diffractive dip at $|t| \approx 1 GeV^2$, which appears to affect the value of the experimentally measured slope.
We show that the cross section of the diffractive production of $b \bar b$ can be described as the sum of two contributions: the first is proportional to the probability of finding a small size $b \bar b$ color dipole in the fast hadron wave function before the interaction with a target, while the second is the $b \bar b$-production after or during the interaction with the target. The formulae are presented as well as the discussion of the interralation between these two contributions and the Ingelman- Schlein and coherent diffraction mechanisms. The main precdition is that the coherent diffraction mechanism dominates at least at the Tevatron Energies, giving the unique possibility to study it experimentally.
The formulae for shadowing corrections in deep inelastic leptoproduction of vector mesons are presented. These formulae are also applicable for photoproduction of vector mesons constituted of heavy quarks. Our results are conveniently presented by the definition of a damping factor giving the reduction of the calculated cross sections due to shadowing. Our calculated cross sections are compared with those obtained with no shadowing and with the available experimental data including the recent data from HERA. We have also investigated the importance of shadowing on the relationship between $\frac{\pa F_2(Q^2,x)}{ \pa ln Q^2}$ and the cross section for virtual photoproduction of vector mesons. A discussion of shadowing corrections to the proton's gluon density is presented and numerical estimates are given.
In this talk we present the first calculation of the gluon structure function for nucleus in QCD. We discuss the Glauber formula for the gluon structure function and the violation of this simple approach that we anticipate in QCD. (Talk given by E. Levin at QCD and nuclear target session at the Workshop on Deep Inelastic Scattering and QCD, Paris, April 1995).
We propose a new evolution equation for the gluon density relevant for the region of small $x_B$. It generalizes the GLR equation and allows deeper penetration in dense parton systems than the GLR equation does. This generalization consists of taking shadowing effects more comprehensively into account by including multigluon correlations, and allowing for an arbitrary initial gluon distribution in a hadron. We solve the new equation for fixed $α_s$. We find that the effects of multigluon correlations on the deep-inelastic structure function are small.
The anomalous dimensions of high-twist operators in deeply inelastic scattering ($γ_{2n}$) are calculated in the limit when the moment variable $N \rightarrow 1$ (or $x_B\rightarrow 0$) and at large $Q^2$ (the double logarithmic approximation) in perturbative QCD. We find that the value of $γ_{2n}(N-1)$ in this approximation behaves as ${N_c α_S \over π(N-1)} n^2(1 + {δ\over 3} (n^2-1))$ where $δ\approx 10^{-2}$. This implies that the contributions of the high-twist operators give rise to an earlier onset of shadowing than was estimated before. The derivation makes use of a Pomeron exchange approximation, with the Pomerons interacting attractively. We find that they behave as a system of fermions.
We consider the inclusive cross section for jet production with large transverse momentum in deep-inelastic scattering. This process has been proposed as a probe of small-x physics, particularly the measurement of `hot spots' inside the proton. We present a numerical calculation of this process, taking into account a larger phase space. The theoretical reliability as well as phenomenological uncertainties of the calculation are discussed.