Proton-proton scattering above 3 GeV/c

Sibirtsev, A.; Haidenbauer, J.; Hammer, H.-W.; Krewald, S.; Meißner, Ulf‐G.

doi:10.1140/epja/i2010-11014-1

Cited by 14 publications

(27 citation statements)

References 96 publications

(174 reference statements)

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“…In early works [46], the ρ and a 2 contributions to pp andpp scattering were found to be negligible and in some analyses they were simply dropped [47]. The recent Regge analysis of nucleonnucleon scattering above 3 GeV reported in [75] confirms that f and ω dominate over a 2 and ρ, respectively. Indeed, the values obtained from (9),…”

Section: Regge Polesmentioning

confidence: 99%

“…We write these in the form C k (t) = 0, with k = 0, 1, 2. Explicit expressions for the three functions C 0 (t), C 1 (t), C 2 (t) are given in equation (75). As we will see, these sum rules provide us with a good tool to determine the t-dependence of the residues.…”

Section: Sum Rulesmentioning

confidence: 99%

“…Several modifications of the standard expression (1) were also considered in the literature: for instance, an additional factor Γ (α(t)) is often introduced in the denominator of (1) in order to remove the unphysical poles due to sin πα. Other factors dependent on the trajectory, which remove unphysical poles, are adopted in [47], [32,[34][35][36][37], [66,75], etc.…”

Section: A Literature On the Regge Parametersmentioning

confidence: 99%

“…was often assumed for various types of elastic reactions ab → ab (early references are [45,47,50], for more recent work see for instance [32,[34][35][36][37], [66,75]). For the slope in ππ scattering, b P ≡ b ππ P , factorization implies…”

Section: A1 Pomeronmentioning

confidence: 99%

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Regge analysis of the ππ scattering amplitude

2012

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Abstract. The theoretical predictions for the subtraction constants lead to a very accurate dispersive representation of the ππ scattering amplitude below 0.8 GeV. The extension of this representation up to the maximum energy of validity of the Roy equations (1.15 GeV) requires a more precise input at high energies. In this paper we determine the trajectories and residues of the leading Regge contributions to the ππ amplitude (Pomeron, f and ρ), using factorization, phenomenological parametrizations of the πN and N N total cross sections at high energy and a set of sum rules which connect the high and low energy properties of ππ scattering. We find that nonleading Regge terms are necessary in order to achieve a smooth transition from the partial waves to the Regge representation at or below 2 GeV. We obtain thus a Regge representation consistent both with the experimental information at high energies and the Roy equations for the partial waves with ℓ ≤ 4. The uncertainties in our result for the Regge parameters are sizable but in the solutions of the Roy equations, these only manifest themselves above KK threshold. MotivationLow energy pion physics has become a precision laboratory: the chiral symmetry properties of the Standard Model can now be compared with low energy precision experiments, using Chiral Perturbation Theory (χPT), dispersion theory and numerical simulations of QCD on a lattice. In principle, as illustrated by the prediction for the magnetic moment of the muon, physics beyond the Standard Model can show up at low energies, provided the quantity of interest can not only be measured accurately, but can also be calculated to sufficient precision. In this context, the interaction among the pions and in particular, the elastic ππ scattering amplitude play a crucial role.The Roy equations [1] provide a suitable framework for the low energy analysis of the ππ scattering amplitude, as they fully incorporate the basic properties that follow from analyticity, unitarity and crossing symmetry. They express the real parts of the partial waves as integrals over the imaginary parts that extend over all energies. The high energy behaviour of the imaginary parts thus enters the analysis, even if the Roy equations are evaluated only at low energy. More specifically, the contributions from the high energy region are contained in the so-called driving terms. Near the ππ threshold, these terms are very small. Accordingly, the results for the threshold parameters are not sensitive to the high energy contributions. The driving terms, however, grow with the energy. In [2,4], where the threshold parameters and the coupling constants of the effective chiral SU(2)×SU(2) Lagrangian relevant for ππ scattering are determined to high accuracy, the Roy equations are solved only below 0.8 GeV. On general grounds [1] these equations are valid in the region 1 s ≤ 68 M 2 π , i.e. for √ s ≤ 1.15 GeV, but in order to use them we need an accurate evaluation of the driving terms. This calls for a better understanding of the imaginary ...

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Section: Regge Polesmentioning

confidence: 99%

Section: Sum Rulesmentioning

confidence: 99%

Section: A Literature On the Regge Parametersmentioning

confidence: 99%

Section: A1 Pomeronmentioning

confidence: 99%

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Regge analysis of the ππ scattering amplitude

2012

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“…pp-шашырауды белгiлi бiр рұқсат етiлген кванттық сандар жиынтығымен анықталатын Редже траекториялардың алмасуына байланысты шашырауын қарастырайық. Реджe формализм шеңберiнде ϕ a (a = 1, ...., 5) спиральдық амплитудалары әр алмасу траекториясы үшiн келесiдей параметрленуi мүмкiн [5]:…”

Section: пион алмасу теориясыunclassified

Elastic pp scattering in the Regge model

Aday¹,

Alibayeva²,

Bazarova³

et al. 2021

bulphys

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In high-energy nuclear physics, it is difficult to find a more consistent theoretical model of nucleon interactions than the Regge theory. In turn, the Regge theory strongly depends on the parameterization of the amplitude. Over the past decades, several parameterizations have been proposed in different energy ranges. One of them was obtained ten years ago for helicity amplitudes of elastic nucleon-nucleon scattering in the range from 3 to 50 GeV. This range is of particular interest since it covers the upper energy limit of the NICA (Nuclotron based ion collider facility) accelerator complex launched last year at the Nuclotron accelerator at the Joint Institute for Nuclear Research (Russian Federation). Thus, Regge theory can provide theoretical support for scientific research at the NICA collider. However, in the scientific community there is some distrust of this theory, associated with its inherent phenomenological nature. For this reason, taking into account the uncertainties of Regge theory, we additionally tested the above parameterization of the NN-amplitudes in this theory. For this purpose, using this parameterization, we calculated the invariant differential cross section for elastic pp scattering at a beam momentum of 9 GeV/c; comparison between the result of the calculation and the existing experimental data showed satisfactory agreement under the assumption of some variation in the amplitude parameters.

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Exclusive production of large invariant mass pion pairs in ultraperipheral ultrarelativistic heavy ion collisions

Kłusek-Gawenda

Szczurek

2011

Physics Letters B

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The cross section for exclusive production of π + π − and π 0 π 0 meson pairs in ultrarelativistic heavy ion collisions is calculated for LHC energy √ s N N = 3.5 TeV taking into account photonphoton mechanism. We concentrate on the production of large two-pion invariant masses where the mechanism of the elementary γγ → ππ process is not fully understood. In order to include a size of nuclei we perform calculation in the impact-parameter equivalent photon approximation (EPA). Realistic charge densities are used to calculate charged form factor of 208 Pb nucleus and to generate photon fluxes associated with ultrarelativistic heavy ions. Sizeable cross sections are obtained that can be measured at LHC. The cross section for elementary γγ → ππ is calculated in the framework of pQCD Brodsky-Lepage (BL) mechanism with the distribution amplitude used to descibe recent data of the BABAR collaboration on pion transition form factor, using handbag mechanism advocated to describe recent Belle data as well as t and u-channel meson/reggeon exchanges. We present distributions in two-pion invariant mass as well as the pion pair rapidity for the nuclear process.

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Proton-proton scattering above 3 GeV/c

Cited by 14 publications

References 96 publications

Regge analysis of the ππ scattering amplitude

Regge analysis of the ππ scattering amplitude

Elastic pp scattering in the Regge model

Exclusive production of large invariant mass pion pairs in ultraperipheral ultrarelativistic heavy ion collisions

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