High-energy hadron dynamics based on a stochastic-field multieikonal theory

Arnold, R.C.

doi:10.1103/physrevd.16.1545

Cited by 2 publications

(3 citation statements)

References 31 publications

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“…* ' In Bef. (2), clustering patterns in rapidity were qualitatively discussed within a crude approximation, but we find here more striking patterns when the model is investigated in more detail.…”

Section: Introductionmentioning

confidence: 52%

“…If we assume N distinct particle species (later, to be taken 0(N) symmetric), then our model is expressed as: ? ' 2 * 2 +y^2 (2) parametrizes the long-range correlations induced by Reggeon-Bomeron singulari-(2) ties, with a characterizing* ' the "softness" of die cuts near the branch points (for calculable spontaneous breakdown phenomena to appear we require* ' 1/2«J<1); the fractional derivative can be defined through its action on die Fourier transform of <j> ; and, assuming 0(N) symmetry for die short-range correlations [planar boots '.rap* ^ input J ,^ 2…”

Section: Introductionmentioning

confidence: 99%

“…The derivation of these expressions from a multi-eikonal Ansatz v ' and assumptions on the pair correlations may be traced in Refs. (1) and (2). Only long-range effects in rapidity (i.e., possible structures which extend over many short-range correlation lengths) will be predicted, since we will take 5 and X dependent only on the lowest moments of n (y).…”

Section: Introductionmentioning

confidence: 99%

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Condensation in the Feynman--Wilson fluid: upsilon, psi, and Centauro. [Amplitudes, condensation in rapidity and charge variables, symmetry breaking, S matrix]

Arnold¹

1977

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High-multiplicity hadron production amplitudes with long-range rapidity correlations from Regge cuts can exhibit dramatic condensation phenomena in rapidity and charge variables. The rapidity structures viould appear as metastable heavy hadrons such as Upsilon or Psi. Charge-space condensation (spontaneous symmetry breakdown) would produce phenomena resembling observed "Centauro" cosmic-ray events. The conditions necessary for appearance of such phenomena are linked to the conditions for generating electromagnetic and weak interactions through spontaneous strong-interaction symnetry breakdown. tT=3TR!EUT10N OF THIS DOCUMENT LS UNUMSTtD *Wbrk performed under the auspices of the United States Energy Research and Development Administration.

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Section: Introductionmentioning

confidence: 52%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Condensation in the Feynman--Wilson fluid: upsilon, psi, and Centauro. [Amplitudes, condensation in rapidity and charge variables, symmetry breaking, S matrix]

Arnold¹

1977

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Inelastic diffraction and factorization properties in the direct and crossed channels

Williams

1978

Phys. Rev. D

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We introduce a simple phenomenological framework based on approximate factorization properties in the direct and crossed channels of diffractive processes. Observed gross features of diffraction then become related to gross features of diffractive states. From the observed slope-mass correlation it emerges through this framework that crossed-channel factorization is broken; increasingly massive diffractive states become increasingly transparent, and strong absorption for these states progressively weakens.The outstanding experimental features of inelastic diffractive processes appear to be the weak energy dependence, the slope-mass correlation, and factorizati~n.'*~ Details emerging from recent experiments have refined these features considerably and have added new ones such a s helicity dependence, detailed mass distributions, diffraction dips at low mass, slopes at high mass, and better estimates of total diffractive cross sect i o n~.~-'Theoretical attempts to describe the data include absorbed Regge-Deck,g Regge-Mueller inclusive models,1° quark-gluon,ll eikonal,12 and other model^.'^ Generally such models do well on the gross features and some details. On any particular process, especially exclusive processes, the state of phenomenological art i s such that one or more of the models is always able to accomodate most features of the data. They all have something more-or-less fundamental to say about the reaction mechanism.However, one is left with the unsettling feeling that, after all, we do not understand very much about why diffractive processes behave the way they do, perhaps because we a r e lacking a precise picture of the diffractive states themselves. We would like at least to know something more about the average nature of diffractive states which can be reached through the dissociation process.On the crudest level one might guess the p* is something like the p , but is it really bigger at low mass and smaller at high mass a s the slopemass correlation would seem naively to imply? What i s its transparency? What is its cross section for scattering on a proton? Some understanding of these things is clearly desirable, since some a r e almost m e a~u r a b l e . '~* '~ Ultimately, there is a range of dynarnical problems which involve diffraction indirectly, such as the strength of strong absorption and the nature of the Pomeron singularity, which bear on theor i e s such a s Reggeon field theories,'= dual Pomeron theories ,I7 and quantum-chromodynamic (QCD) theories." Of course, it may well be the other way around, that these theories will ultimately tell us everything about diffraction.In this paper we introduce a simple phenomenological framework based on some assumptions about the approximate factorization properties in the direct and crossed channels of diffractive processes. The advantage of doing this is that observed features of diffraction become related to gross features of diffractive states. Some unexpectedly good results follow from the observed slope-mass correlation, namely, that massive s...

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High-energy hadron dynamics based on a stochastic-field multieikonal theory

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Cited by 2 publications

References 31 publications

Condensation in the Feynman--Wilson fluid: upsilon, psi, and Centauro. [Amplitudes, condensation in rapidity and charge variables, symmetry breaking, S matrix]

Condensation in the Feynman--Wilson fluid: upsilon, psi, and Centauro. [Amplitudes, condensation in rapidity and charge variables, symmetry breaking, S matrix]

Inelastic diffraction and factorization properties in the direct and crossed channels

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