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Related papers: Unitarity of the tree approximation to the Glauber…

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Unitarity relates the total cross section for neutrino-nucleon scattering to the neutrino-nucleon forward scattering amplitude. Assuming the validity of the perturbative expansion of the forward amplitude in the {\em weak} coupling…

High Energy Physics - Phenomenology · Physics 2009-11-07 Duane A. Dicus , Stefan Kretzer , Wayne W. Repko , Carl Schmidt

We analyse the high-energy behavior of tree-level graviton Compton amplitudes for particles of mass m and arbitrary spin, concentrating on a combination of forward amplitudes that will be unaffected by eventual cross- couplings to other,…

High Energy Physics - Theory · Physics 2008-11-26 A. Cucchieri , S. Deser , M. Porrati

Cross sections for proton inelastic collision with different nuclei are described within the Glauber approximation. The significant difference between approximate ``Glauber'' formula and exact calculations with geometrical scaling…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tadeusz Wibig

The validity of the tree-unitarity criterion for scattering amplitudes on the noncommutative space-time is considered, as a condition that can be used to shed light on the problem of unitarity violation in noncommutative quantum field…

High Energy Physics - Theory · Physics 2009-11-10 M. Chaichian , C. Montonen , A. Tureanu

A high-precision test of the Glauber formula for the amplitude of nucleon-deuteron scattering is performed. Nucleon-nucleon amplitudes used in the calculations depend on the spins of interacting particles, phase shifts, and mixing…

Nuclear Theory · Physics 2016-03-29 V. I. Kovalchuk

A parameterization of the nucleon-nucleon elastic scattering amplitude is needed for future experiments with nucleon and nuclear beams in the beam momentum range of 2 -- 50 GeV/c/nucleon. There are many parameterizations of the amplitude at…

High Energy Physics - Phenomenology · Physics 2016-12-21 V. Uzhinsky , A. Galoyan , Q. Hu , J. Ritman , H. Xu

In the framework of the classical Glauber approach, the analytical expressions for the variance of the number of wounded nucleons and binary collisions in AA interactions at a given centrality are presented. Along with the optical…

High Energy Physics - Phenomenology · Physics 2012-03-14 V. V. Vechernin , H. S. Nguyen

The maximally helicity violating (MHV) tree level scattering amplitudes involving three, four or five gravitons are worked out in Unimodular Gravity. They are found to coincide with the corresponding amplitudes in General Relativity. This a…

High Energy Physics - Theory · Physics 2018-02-15 Enrique Alvarez , Sergio Gonzalez-Martin , Carmelo P. Martin

Tree amplitudes of the production of two kinds of scalar particles at threshold from one virtual particle are calculated in a model of two scalar fields with $O(2)$ symmetric quartic interaction and unequal masses. These amplitudes exhibit…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. V. Libanov , V. A. Rubakov , S. V. Troitsky

Glauber theory for nucleus-nucleus scattering at high incident energies is reformulated so as to become applicable also for the scattering at intermediate energies. We test validity of the eikonal and adiabatic approximations used in the…

Nuclear Theory · Physics 2020-12-16 Masanobu Yahiro , Kosho Minomo , Kazuyuki Ogata , Mitsuji Kawai

We study the three-particle and four-particle scattering amplitudes for an arbitrary, finite number of massive scalars, spinors and vectors by employing the on-shell massive spinor formalism. We consider the most general three-particle…

High Energy Physics - Theory · Physics 2022-12-02 Da Liu , Zhewei Yin

Four-particle tree-level scattering amplitudes in string theory are magically consistent with unitarity, reflected in the non-trivial fact that beneath the critical dimension, the residues of the amplitudes on massive poles can be expanded…

High Energy Physics - Theory · Physics 2022-03-14 Nima Arkani-Hamed , Lorenz Eberhardt , Yu-tin Huang , Sebastian Mizera

We review the structure of gauge theory scattering amplitudes at tree level and describe how a compact expression can be found which encodes all the tree-level amplitudes in the maximally supersymmetric N=4 theory. The expressions for the…

High Energy Physics - Theory · Physics 2015-05-28 J. M. Drummond

Cross sections for proton inelastic collision with different nuclei are described within the Glauber and multiple scattering approximations. A significant difference between approximate `Glauber' formula and exact calculations with a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Tadeusz Wibig , Dorota Sobczynska

The Euclidean quantum amplitude to go between data specified on an initial and a final hypersurface may be approximated by the tree amplitude exp(-I_{classical}/\hbar), where I_{classical} is the Euclidean action of the classical solution…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Peter D'Eath , Andrew Sornborger

The application of Glauber theory has been playing an increasingly important role with the study of unstable or exotic nuclei. Its adaptation to medium and high-energy nucleus-nucleus collisions is severely limited because one has to…

Nuclear Theory · Physics 2026-03-18 W. Horiuchi , Y. Suzuki , R. B. Wiringa

We discuss the threshold tree amplitudes in diverse nonintegrable quantum field theories in the framework of integrability. The amplitudes are related to some Baker functions defined on the auxiliary spectral curves and the nullification…

High Energy Physics - Theory · Physics 2019-08-17 Alexander Gorsky , Konstantin Selivanov

The pion-nucleon sigma term is shown to be equal to the Goldberger-Treiman discrepancy at tree level. Its value estimated this way is very sensitive to the pion-nucleon coupling constant g_{pi NN}. This relation, when combined with the…

High Energy Physics - Phenomenology · Physics 2007-05-23 James V. Steele , Hidenaga Yamagishi , Ismail Zahed

The total neutron-Nucleus cross section has been calculated within an approach which takes into account nucleon-nucleon correlations, Glauber multiple scattering and inelastic shadowing corrections. Nuclear targets ranging from 4He to 208Pb…

Nuclear Theory · Physics 2007-05-25 M. Alvioli , C. Ciofi degli Atti , I. Marchino , H. Morita , V. Palli

We compute in conventional dimensional regularisation the tree-level splitting amplitudes for a quark parent in the limit where four partons become collinear to each other. This is part of the universal infrared behaviour of the QCD…

High Energy Physics - Phenomenology · Physics 2020-03-18 Vittorio Del Duca , Claude Duhr , Rayan Haindl , Achilleas Lazopoulos , Martin Michel
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