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High energy scattering experiments involving nuclei are typically analyzed in terms of light front variables. The desire to provide realistic, relativistic wave functions expressed in terms of these variables led me to try to use light…

Nuclear Theory · Physics 2009-10-31 Gerald A. Miller

We systematically calculate the total reaction cross sections of oxygen isotopes, $^{15-24}$O, on a $^{12}$C target at high energies using the Glauber theory. The oxygen isotopes are described with Slater determinants generated from a…

Nuclear Theory · Physics 2009-06-25 B. Abu-Ibrahim , S. Iwasaki , W. Horiuchi , A. Kohama , Y. Suzuki

We relate scattering amplitudes in particle physics to maximum likelihood estimation for discrete models in algebraic statistics. The scattering potential plays the role of the log-likelihood function, and its critical points are solutions…

Algebraic Geometry · Mathematics 2021-12-15 Bernd Sturmfels , Simon Telen

The fragmentation functions and scattering amplitudes are investigated in the framework of light-front perturbation theory. It is demonstrated that, the factorization property of the fragmentation functions implies the recursion relations…

High Energy Physics - Phenomenology · Physics 2015-06-16 Christian A. Cruz-Santiago , Anna M. Stasto

Scattering equations for tree-level amplitudes are viewed in the context of string theory. As a result of the comparison we are led to define a new dual model which coincides with string theory in both the small and large $\alpha'$ limit,…

High Energy Physics - Theory · Physics 2015-06-19 N. E. J Bjerrum-Bohr , P. H. Damgaard , P. Tourkine , P. Vanhove

We incorporate the effect of lattice thermal vibrations into the Glauber theory description of particle- and nucleus-crystal Coulomb interactions at high-energy. The allowance for the lattice thermal vibrations is shown to produce strong…

High Energy Physics - Phenomenology · Physics 2009-11-10 V. R. Zoller

We solve general 1-matrix models without taking the double scaling limit. A method of computing generating functions is presented. We calculate the generating functions for a simple and double torus. Our method is also applicable to more…

High Energy Physics - Theory · Physics 2009-10-28 Hiroshi Shirokura

The quasielastic scattering kaon-nucleus experiment performed at BNL is analyzed in a finite nucleus continuum random phase approximation framework, treating the reaction mechanism in Glauber theory up to two-step inelastic processes. A…

Nuclear Theory · Physics 2009-10-30 A. De Pace

The Glauber approach to the gluon density in a nucleus, suggested by A. Mueller, is developed and studied in detail. Using the GRV parameterization for the gluon density in a nucleon, the value as well as energy and $Q^2$ dependence of the…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. L. Ayala , M. B. Gay Ducati , E. M. Levin

The scattering amplitude of the pion-nucleon elastic scattering is calculated by the lowest-order approximation of the perturbative expansion with the non-perturbative term. The self-energy of nucleon is determined so as to give the…

Nuclear Theory · Physics 2022-04-22 Susumu Kinpara

We investigate the worldline quantum field theory (WQFT) formalism for scalar-QED and observe that a generating function emerges from WQFT, from which the scattering angle ensues. This generating function bears important similarities with…

High Energy Physics - Theory · Physics 2023-04-14 Tianheng Wang

Compound resonances in nucleon-nucleus scattering are related to the discrete spectrum of the target. Such resonances can be studied in a unified and general framework by a scattering model that uses sturmian expansions of postulated…

Nuclear Theory · Physics 2015-06-26 K. Amos , L. Canton , G. Pisent , J. P. Svenne , D. van der Knijff

A linked cluster expansion for the calculation of ground state observables of nuclei with realistic interactions has been developed. Using the V8' potential the ground state energy, density and momentum distribution of complex nuclei have…

Nuclear Theory · Physics 2009-11-11 M. Alvioli , C. Ciofi degli Atti , H. Morita

The amplitudes of hadron-hadron forward elastic scattering at high energy a re investigated on the basis of analiticity and crossing-symmetry which is valid in QCD. The universal uniformizing variable for them is proposed and the formulae…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Majewski , V. A. Meshcheryakov

There is a calculation of the differential cross sections of proton scattering on 13C and 15C nuclei at energy of 1 GeV with the shell model wave functions in the framework of the Glauber theory in the study. The single, double and triple…

Nuclear Theory · Physics 2016-05-20 M. A. Zhusupov , E. T. Ibraeva , R. S. Kabatayeva

This paper focuses on the scaling of the S-matrix for elastic nucleon-nucleon scattering at large Nc. It is argued that the logarithm of a typical S-matrix element is proportional to Nc in the regime where the large Nc limit is taken with…

Nuclear Theory · Physics 2013-11-20 Thomas D. Cohen , Vojtěch Krejčiřík

This is a review of Glauber's asymptotic diffraction theory, in which diffractive scattering is described in terms of interference between semiclassical amplitudes, resulting from a stationary-phase approximation. Typically two such…

Nuclear Theory · Physics 2019-10-17 Per Osland

Antiproton-nucleon ($\bar{p}N$) total cross sections are typically 3-4 times larger than the $NN$ ones at incident energies from a few hundreds to thousands MeV. We investigate antiproton-nucleus scattering as it could work as a probe of…

Nuclear Theory · Physics 2020-10-28 K. Makiguchi , W. Horiuchi , A. Kohama

The calculation of scattering amplitudes in Yang-Mills theory at loop level is important for the analysis of background processes at particle colliders as well as our understanding of perturbation theory at the quantum level. We present…

High Energy Physics - Theory · Physics 2013-05-30 Rutger H. Boels , Reinke Sven Isermann

Calculating microscopic optical potentials for elastic nucleon-nucleus scattering has already led to large body of work in the past. For folding first-order calculations the nucleon-nucleon (NN) interaction and the one-body density of the…

Nuclear Theory · Physics 2019-04-24 M. Burrows , Ch. Elster , S. P. Weppner , K. D. Launey , P. Maris , A. Nogga , G. Popa