Journal ArticleDOI
The shape of the ρ(ππ → ππ andee → ππ)
TLDR
In this paper, the shape of the ϱ-resonance is calculated, in π → ππ and in ee → φ, using elastic unitarity and a fixed-t dispersion relation; the solution contains two parameters M and Γ, the mass and width of the pi�.About:
This article is published in Nuclear Physics.The article was published on 1971-07-01. It has received 25 citations till now. The article focuses on the topics: Unitarity.read more
Citations
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Dinosaur diversity and the rock record
TL;DR: Strong statistically robust correlations demonstrate that almost all aspects of ornithischian and theropod diversity curves can be explained by geological megabiases, whereas the sauropodomorph record diverges from modelled predictions and may be a stronger contender for identifying evolutionary signals.
Journal ArticleDOI
Mesozoic marine tetrapod diversity: mass extinctions and temporal heterogeneity in geological megabiases affecting vertebrates
TL;DR: Some evidence supports an extinction event near the Jurassic/Cretaceous boundary, but the proposed end-Cenomanian extinction is probably an artefact of poor sampling, and consideration of sampling biases allows re-evaluation of proposed mass extinction events.
Journal ArticleDOI
Algorithm 921: alphaCertified: Certifying Solutions to Polynomial Systems
TL;DR: The program alphaCertified implements algorithms based on α-theory to certify solutions of polynomial systems using both exact rational arithmetic and arbitrary precision floating point arithmetic and whether a given point corresponds to a real solution.
Book
Real Solutions to Equations from Geometry
TL;DR: This book focuses on equations from toric varieties and Grassmannians, giving background on real solutions to univariate polynomials and the geometry of sparse polynomial systems, and devoting the last five chapters to the Shapiro Conjecture.
BookDOI
Applications of random matrices in physics
TL;DR: In this article, Efetov-Efetov and Kostov-Kostov this article proposed an asymptotics of the solution of EFP through an integrability and the QCD Partition Function.
References
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Journal ArticleDOI
Finite-Width Corrections to the Vector-Meson-Dominance Prediction for ρ → e + e −
G. J. Gounaris,J. J. Sakurai +1 more
TL;DR: In this article, a generalized effective range formula for pion-pion scattering was proposed to modify the well-known relation between the Schwinger term and the ε-meson contribution.
Journal ArticleDOI
Theory of the low-energy pion-pion interaction
TL;DR: In this paper, the double-dispersion representation is applied to the problem of pion-pion scattering, and it is shown that, if inelastic effects are important only at very high energies and $S$-wave scattering dominates at low energy, a set of integral equations for the low-energy amplitudes can be derived.
Journal ArticleDOI
A novel application of regge trajectories
TL;DR: In this article, the authors suggest that Dalitz plots for 3π decays and annihilations are "measurements" of ππ scattering in the double spectral region, and that Veneziano's formula for crossing-symmetric Regge trajectories both justifies the external mass extrapolation and correctly predicts the experimental results.
Journal ArticleDOI
Analysis of partial-wave dispersion relations
Graham Frye,Robert L. Warnock +1 more
TL;DR: In this article, the existence and uniqueness of solutions of partial-wave dispersion relations are studied, with particular attention to the N/D method, where the interaction, assumed to be given, is represented by (i) the strengths and locations of unphysical singularities and (ii) the inelastic partial wave cross section.
Journal ArticleDOI
Strong-interaction sum rules for pion--hadron scattering.
Frederick J. Gilman,Haim Harari +1 more
TL;DR: In this paper, all the strong interaction sum rules which hold for elastic pion-hadron scattering amplitudes at t = O are derived. And the algebraic structure of Class I sum rules is discussed in terms of representations of the SU(2) X SU (2) chiral algebra of charges, for particle states moving with infinite momentum.
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A study on analytic parametrizations for proton-proton cross-sections and asymptotia
M. J. Menon,P. V. R. G. Silva +1 more