201-GeV/<i>c</i>Proton-Proton Elastic Scattering at Large Momentum Transfer

Hartmann, J.; Orear, J.; Vrieslander, J.; Conetti, S.; Hojvat, C.; Ryan, D.; Shahbazian, K.; Stairs, D. G.; Trischuk, J.; Faissler, W.; Gettner, M.; Johnson, J. R.; Kephart, Thomas W.; Pothier, E.; Potter, Douglas M.; Tautz, M. F.; Baranov, P.; Rusakov, S. V.

doi:10.1103/physrevlett.39.975

Cited by 50 publications

(12 citation statements)

References 13 publications

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“…At precisely which value of |t| the transition from the t −8 to the t −10 behavior occurs, depends on the transverse size of the valence Fock state of the proton. Since the ISR [148] and the FNAL [149] data are rather compatible with a t −8 -behavior of the differential cross section, Sotiropoulos and Sterman conclude that the transverse size of the proton is small, perhaps ≤ 0.3 fm. Correspondingly, the r.m.s.…”

Section: B Modified Nucleon Form Factormentioning

confidence: 88%

The Physics of Exclusive Reactions in QCD: Theory and Phenomenology

Stefanis

2000

EPJ direct

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The modern formulation of exclusive reactions within Quantum Chromodynamics is reviewed, the emphasis being placed on the pivotal ideas and methods pertaining to perturbative and non-perturbative topics. Specific problems, related to scale locality, infrared safety, gluonic radiative corrections (Sudakov effects), and the role of hadronic size effects (intrinsic transverse momentum), are studied. These issues are more precisely analyzed in terms of the essential mechanisms of momentum transfer to a hadron while remaining intact. Different factorization schemes are considered and the conceptual lacunas are pointed out. The quite technical subject of renormalization-group evolution is given a detailed account. By combining analytical and numerical algorithms, the one-gluon exchange nucleon evolution equation is diagonalized and next-to-leading eigenfunctions are calculated in terms of Appell polynomials. The corresponding anomalous dimensions of trilinear quark operators are found to form a degenerate system whose envelope shows logarithmic large-order behavior. Selected applications of this framework are presented, focusing on the helicity-conserving elastic form factors of the pion and the nucleon. The theoretical constraints imposed by QCD sum rules on the moments of nucleon distribution amplitudes are used to determine a whole spectrum of optional solutions. They organize themselves along an "orbit" characterized by a striking scaling relation between the form-factor ratio R = |G n M |/G p M and the projection coefficient B 4 on to the corresponding eigensolution. The main reasons for the failure of the present theoretical predictions to match the experimental data are discussed and workable explanations are sketched.

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Section: B Modified Nucleon Form Factormentioning

confidence: 88%

The Physics of Exclusive Reactions in QCD: Theory and Phenomenology

Stefanis

2000

EPJ direct

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“…1 (solid line). The slope parameter is about twice as much bigger compared to the value of c o at the CERN ISR and at lower energies [5]. It is evident that the exponential dependence on √ −t describes experimental data in the wider region of −t-values and use of the power-like dependence for the data analysis seems to be premature and misleading.…”

Section: Coherence In the Elastic Scatteringmentioning

confidence: 91%

Energy evolution of the large-t elastic scattering and its correlation with multiparticle production

Troshin¹

2013

AIP Conference Proceedings

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It is emphasized that the collective dynamics associated with color confinement is dominating over a point-like mechanism related to a scattering of the proton constituents at the currently available values of the momentum transferred in proton elastic scattering at the LHC. Deep-elastic scattering and its role in the dissimilation of the absorptive and reflective asymptotic scattering mechanisms are discussed with emphasis on the experimental signatures associated with the multiparticle production processes.

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“…Unitarity relation (18) has been successfully used [50,51,52,53] for the model-independent description of the Orear region between the diffraction cone and hard parton scattering, which became the crucial test for phenomenological models.…”

Section: The Main Relationsmentioning

confidence: 99%

“…Correspondingly, the mathematically consistent inverse formulae generally contain the sum of contributions from the physical and nonphysical parts of the amplitude A(s, t). Unitarity condition (18) involves only the amplitude in the physical region; only this part of its Fourier-Bessel transform is also important in the unitarity relation for the impact parameter representation. It is written as…”

Section: The Main Relationsmentioning

confidence: 99%

“…Somewhat later, the energy range was extended to 50 GeV [10,11,12]. With the advent of new accelerators, the data for pp scattering at energies √ s ≈ 19,20,23,28,31,45,53,62 GeV were published [13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28] and the data for pp at 31,53,62,546,630,1800,1980 GeV [29,30,31,32,33,34,35,36,37,38] appeared. The early results are reviewed in Refs [39,40].…”

Section: Introductionmentioning

confidence: 99%

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