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A systematic expansion of the induced inclusive gluon radiation associated with jet production in a dense QCD plasma is derived using a reaction operator formalism. Analytic expressions for the transverse momentum and light-cone momentum…

Nuclear Theory · Physics 2009-10-09 M. Gyulassy , P. Levai , I. Vitev

We discuss the the GLV Reaction Operator formalism for computing the non-abelian energy loss of jets propagating through hot and dense matter. We incorporate our results on induced gluon bremsstrahlung together with the effects of nuclear…

Nuclear Theory · Physics 2009-10-09 I. Vitev , M. Gyulassy , P. Levai

We extend the Gyulassy-Levai-Vitev reaction operator approach to multiple elastic scattering of fast partons traversing dense nuclear matter to take into account the leading power corrections due to the medium recoil and to derive the…

Nuclear Theory · Physics 2009-11-10 Jianwei Qiu , Ivan Vitev

The elastic backward proton-deuteron scattering is analyzed within a covariant approach based on the invariant expansion of the reaction amplitude. The relativistic invariant equations for all the polarization observables are presented.…

Nuclear Theory · Physics 2007-05-23 A. Yu. Illarionov , G. I. Lykasov

Effects of Glauber gluons, which cause the elastic scattering process between different jets, are studied in the frame of soft-collinear effective theory(SCET). Glauber modes are added into the Lagrangian before integrated out, which is…

High Energy Physics - Phenomenology · Physics 2021-05-21 Gao-Liang Zhou , Zheng-Xin Yan , Xin Zhang , Feng Li

We propose a new kinetic BGK-type model for a mixture of four monatomic gases, undergoing a bimolecular and reversible chemical reaction. The elastic and reactive interactions are described separately by distinct relaxation terms and the…

Statistical Mechanics · Physics 2026-01-07 Giorgio Martalò , Ana Jacinta Soares , Romina Travaglini

Starting from the kinetic approach for a mixture of reacting gases whose particles interact through elastic scattering and a bimolecular reversible chemical reaction, the equations that govern the dynamics of the system are obtained by…

Soft Condensed Matter · Physics 2009-11-10 A. Rossani , A. M. Scarfone

A Linear Boltzmann Transport (LBT) model has been developed for the study of jet propagation inside a quark-gluon plasma. Both leading and thermal recoiled partons are transported according to the Boltzmann equations to account for…

Nuclear Theory · Physics 2015-06-15 Tan Luo , Yayun He , Xin-Nian Wang , Yan Zhu

At sufficiently large proton energies, Glauber multiple-scattering theory offers good opportunities for describing the final state interactions in electro-induced proton emission off nuclear targets. A fully unfactorized relativistic…

Nuclear Theory · Physics 2015-06-26 J. Ryckebusch , D. Debruyne , P. Lava , S. Janssen , B. Van Overmeire , T. Van Cauteren

Jet breaks in gamma ray burst (GRB) afterglows provide a direct probe of their collimation angle. Modeling a jet break requires an understanding of the "jet spreading" process, whereby the jet transitions from a collimated outflow into the…

High Energy Astrophysical Phenomena · Physics 2018-10-10 Paul C. Duffell , Tanmoy Laskar

The primary goal of this paper is to characterize solutions to coupled reaction-diffusion systems. Indeed, we use operators theory to show that under suitable assumptions, then the solutions to the reaction-diffusion equations exist. As…

Analysis of PDEs · Mathematics 2007-05-23 Toka Diagana

In QCD, the amplitude for multiple soft gluon emissions has been shown to exhibit a form of coherence, wherein one-loop corrections are rendered IR finite by the transverse momentum of the real emissions. Using a sequence of soft-collinear…

High Energy Physics - Phenomenology · Physics 2021-12-08 Jeffrey Robert Forshaw , Jack Holguin , Aditya Pathak

The elastic backward proton-deuteron scattering is analyzed within a fully covariant approach based on the invariant expansion of the reaction amplitude. The method of calculation of any observables for any reaction mechanism is developed.…

Nuclear Theory · Physics 2009-11-06 A. Yu. Illarionov , G. I. Lykasov

In this paper, we describe the general framework to describe the diffusion operators associated to a positive matrix. We define the equations associated to diffusion operators and present some general properties of their state vectors. We…

Numerical Analysis · Mathematics 2012-06-19 Dohy Hong , Gérard Burnside

We present a novel approach for the numerical solution of problems of elastic scattering by open arcs in two dimensions. Our methodology relies on the composition of weighted versions of the classical operators associated with Dirichlet and…

Numerical Analysis · Mathematics 2019-02-26 Oscar P. Bruno , Liwei Xu , Tao Yin

Consider the scattering of a time-harmonic elastic plane wave by a bi-periodic rigid surface. The displacement of elastic wave motion is modeled by the three-dimensional Navier equation in an open domain above the surface. Based on the…

Numerical Analysis · Mathematics 2020-07-28 Gang Bao , Xue Jiang , Peijun Li , Xiaokai Yuan

We consider hard-potential cutoff multi-species Boltzmann operators modeling microscopic binary elastic collisions and bimolecular reversible chemical reactions inside a gaseous mixture. We prove that the spectral gap estimate derived for…

Analysis of PDEs · Mathematics 2025-11-27 Andrea Bondesan , Bao Quoc Tang

In this work, we study the elastic scattering behavior of electron vortices when propagating through amorphous samples. We use a formulation of the multislice approach in cylindrical coordinates to theoretically investigate the…

Materials Science · Physics 2021-03-22 Stefan Löffler , Stefan Sack , Thomas Schachinger

In a recent study [1] we have extended the opacity expansion approach to describe jet-medium interactions including medium motion effects in the context of heavy-ion collisions. We have computed color field of the in-medium sources,…

High Energy Physics - Phenomenology · Physics 2022-07-19 Andrey V. Sadofyev , Matthew D. Sievert , Ivan Vitev

The collision energy dependence of jet tomography is investigated within the GLV formalism. We estimate systematic uncertainties resulting from the interplay of energy loss fluctuations and the rapid increase of the parton transverse…

Nuclear Theory · Physics 2009-10-09 A. Adil , M. Gyulassy
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