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We consider the planar MHV amplitude in N=4 supersymmetric Yang-Mills theory for 2 -> 4 particle scattering at two and three loops in the Regge kinematics. We perform an analytic continuation of two-loop result for the remainder function…

High Energy Physics - Theory · Physics 2011-06-13 L. N. Lipatov , A. Prygarin

In this study, we investigate atom--dimer scattering within the framework of the hyperspherical method. The coupled channel Schr\"odinger equation is solved using the R-matrix propagation technique combined with the smooth variable…

Atomic Physics · Physics 2022-10-19 Cai-Yun Zhao , Yi Zhang , Hui-Li Han , Ting-Yun Shi

A quasi-free quantum particle endowed with Heaviside position dependent mass jump is observed to experience scattering effects manifested by its by-product introduction of the derivative of the Dirac's-delta point dipole interaction. Using…

Quantum Physics · Physics 2010-12-01 Omar Mustafa , S. Habib Mazharimousavi

In the present work a general frame for the scattering theory of local, relativistic dipole quantum fields is presented and some models of interacting dipole fields are considered, i.e. local, relativistic quantum fields with indefinite…

Mathematical Physics · Physics 2008-11-26 H. Gottschalk

In this work, we classify all the possible local four-point couplings relevant for tree-level flat space $2 \rightarrow 2$ scattering of external massive particles of spin one and spin two which do not grow faster than $s^2$ at large $s$…

High Energy Physics - Theory · Physics 2023-12-27 Subham Dutta Chowdhury , Vipul Kumar , Suman Kundu , Asikur Rahaman

The space-time propagation of heavy quarks in ultra-relativistic heavy ion collisions is studied within the partonic transport model Boltzmann Approach of MultiParton Scatterings (BAMPS). In this model heavy quarks interact with the…

High Energy Physics - Phenomenology · Physics 2011-08-25 Jan Uphoff , Oliver Fochler , Zhe Xu , Carsten Greiner

Over the past couple of years we have had significant progress in determining long-distance singularities in gauge-theory scattering amplitudes of massless particles beyond the planar limit. Upon considering all kinematic invariants much…

High Energy Physics - Phenomenology · Physics 2018-01-11 Einan Gardi

A dipole picture of high energy scattering is developed in the 2+1 dimensional QCD, following Mueller. A generalized integral equation for the dipole density with a given separation and center of mass position is derived, and meson-meson…

High Energy Physics - Phenomenology · Physics 2016-08-24 Miao Li , Chung-I Tan

We analyze, from a canonical quantum field theory perspective, the problem of one-dimensional particles with three-body attractive interactions, which was recently shown to exhibit a scale anomaly identical to that observed in…

High Energy Physics - Theory · Physics 2019-08-22 Wilder S. Daza , Joaquín E. Drut , Chris L. Lin , Carlos R. Ordóñez

We study the problem of plane monochromatic scalar waves impinging upon a Schwarzschild dirty black hole -- a Schwarzschild black hole surrounded by a thin spherical shell of matter -- using the complex angular momentum approach. We first…

General Relativity and Quantum Cosmology · Physics 2023-03-15 Theo Torres , Mohamed Ould El Hadj , Shi-Qian Hu , Ruth Gregory

In a plane-wave matrix model we discuss a two-body scattering of gravitons in the SO(3) symmetric space. In this case the graviton solutions are point-like in contrast to the scattering in the SO(6) symmetric space where spherical membranes…

High Energy Physics - Theory · Physics 2009-11-11 Hyeonjoon Shin , Kentaroh Yoshida

This paper considers efficient spectral solutions for weakly singular nonlocal diffusion equations with Dirichlet-type volume constraints. The equation we consider contains an integral operator that typically has a singularity at the…

Numerical Analysis · Mathematics 2022-07-28 Jiashu Lu , Mengna Yang , Yufeng Nie

Optical properties of nonmagnetic structures that support artificial optically-induced magnetic responses have recently attracted surging interest. Here we conduct symmetry-dictated investigations into scattering properties of nonmagnetic…

Optics · Physics 2020-04-02 Qingdong Yang , Weijin Chen , Yuntian Chen , Wei Liu

Several recent developments point to the fact that rational maps from n-punctured spheres to the null cone of D dimensional momentum space provide a natural language for describing the scattering of massless particles in D dimensions. In…

High Energy Physics - Theory · Physics 2014-09-10 Freddy Cachazo , Song He , Ellis Ye Yuan

The scattering of a flying photon by a two-level system ultrastrongly coupled to a one-dimensional photonic waveguide is studied numerically. The photonic medium is modeled as an array of coupled cavities and the whole system is analyzed…

We study the zero-energy collision of three identical spin-polarized fermions with short-range interactions in one dimension. We derive the asymptotic expansions of the three-body wave function when the three fermions are far apart or one…

Quantum Gases · Physics 2023-07-12 Zipeng Wang , Shina Tan

The D-and F-wave quark-quark amplitudes are constructed in the framework of the dispersion N/D-method. The mass values of meson multiplets with $J^{PC}=1^{--},2^{--},2^{-+},3^{--}$ and $J^{PC}=2^{++},3^{++},3^{+-},4^{++}$ are calculated.…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. M. Gerasyuta

We formulate a theory of nonrelativistic scattering in one dimension based on the J-matrix method. The scattering potential is assumed to have a finite range such that it is well represented by its matrix elements in a finite subset of a…

Mathematical Physics · Physics 2015-05-18 A. D. Alhaidari , H. Bahlouli , M. S. Abdelmonem

We explore scattering amplitudes on the Coulomb branch of maximally supersymmetric Yang-Mills theory. We introduce a particular pattern of scalar vacuum expectation values that allow us to define amplitudes with a different mass pattern…

High Energy Physics - Theory · Physics 2025-02-05 Wojciech Flieger , Johannes Henn , Anders Schreiber , Jaroslav Trnka

We investigate the energy spectrum of systems of two, three and four spin-1/2 fermions with short range attractive interactions both exactly, and within the scattering length approximation. The formation of molecular bound states and the…

Quantum Gases · Physics 2011-09-09 S. Q. Zhou , D. M. Ceperley , Shiwei Zhang