Unitarity tests at high energies
TLDR
In this article, the authors derive unitarity inequalities involving Re F ( s, t ) and Im F( s, t ) in a region 0 ⩽ | t | ⩾ | | T | which exhaust the content of unitarity given only the elastic amplitude F (s, t) in this range of t, and these inequalities lead to inequalities on Martin's scaling functions.About:
This article is published in Physics Letters B.The article was published on 1984-02-02 and is currently open access. It has received 4 citations till now. The article focuses on the topics: Unitarity.read more
Citations
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On the validity of Martin's real-part formula
Roland Henzi,P. Valin +1 more
TL;DR: In this article, the real part dynamics of the proton-proton/antiproton scattering amplitude within the framework of dispersive diffraction theory was presented, from 0.02 through 0.54 to 40 TeV.
Journal ArticleDOI
Theoretical unitarity bounds, theorems and scalings for the strong interactions at high energies
TL;DR: In this article, the authors review recent progress in the development and application of unitarity bounds based on experimentally determined quantities, the high-energy theorems for global quantities and the scalings for the differential elastic cross section and the inelastic processes of strongly interac particles.
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Applicability Of A Representation For The Martin's Real-part Formula In Model-independent Analyses
D. A. Fagundes,M. J. Menon +1 more
TL;DR: In this paper, an almost model-independent description of the proton-proton differential cross-section data at high energies (19.4 GeV-62.5 GeV) is obtained.
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Applicability of a Representation for the Martin's Real-Part Formula in Model-Independent Analyses
D. A. Fagundes,M. J. Menon +1 more
TL;DR: In this article, an almost model-independent description of the proton-proton differential cross section data at high energies (19.4 GeV - 62.5 GeV) is obtained.
References
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Extension of the axiomatic analyticity domain of scattering amplitudes by unitarity-I
TL;DR: In this article, it was shown that the pion-pion scattering amplitude can be continued until the border-line of the double-spectral function, except for the case that the nearest singularities are induced by two-particle unitarity.
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Analytic properties of scattering amplitudes as functions of momentum transfer
TL;DR: The partial wave expansions which define physical scattering amplitudes continue to converge for complex values of the scattering angle, and define uniquely the amplitudes appearing in the unphysical region of non-forward dispersion relations as discussed by the authors.
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Asymptotic behaviour of the real part of the scattering amplitude at t〓0.
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Unitarity bounds of the scattering amplitude and the diffraction peak
S. W. MacDowell,A. Martin +1 more
TL;DR: In this article, a lower bound for the derivative of the absorptive part of the forward scattering amplitude with respect to the momentum transfer is obtained, in terms of the elastic and total cross sections.
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Forward hadronic pp and p̄p elastic scattering amplitudes: Analysis of existing data and extrapolations to collider energies
Martin M. Block,Robert N. Cahn +1 more
TL;DR: An analysis of total cross sections and ratios of real to imaginary parts of the forward hadronic scattering amplitude for pp andu¯p is given in this paper, where the data above s = 25GeV 2, including the latest p¯p results from the ISR, are simultaneously fit for both real and imaginary parts using proper analytic forms.
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Model-independent aspects of scaling of elastic differential cross sections
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