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We employ a scalar model to exemplify the use of contour deformations when solving Lorentz-invariant integral equations for scattering amplitudes. In particular, we calculate the onshell 2 -> 2 scattering amplitude for the scalar system.…

高能物理 - 唯象学 · 物理学 2019-11-06 Gernot Eichmann , Pedro Duarte , M. T. Peña , Alfred Stadler

We propose a framework for calculating scattering and bound state properties in anisotropic two-dimensional potentials. Using our method, we derive systematic approximations of partial wave phase shifts and binding energies. Moreover, the…

量子气体 · 物理学 2012-01-31 Matthias Rosenkranz , Weizhu Bao

Infinitely rising one-dimensional potentials constitute impenetrable barriers which reflect totally any incident wave. However, the scattering by such kind of potentials is not structureless: resonances may occur for certain values of the…

量子物理 · 物理学 2017-11-27 E. M. Ferreira , J. Sesma

Recently developed time-independent bound-state perturbation theory is extended to treat the scattering domain. The changes in the partial wave phase shifts are derived explicitly and the results are compared with those of other methods.

核理论 · 物理学 2009-11-11 B. Gonul , M. Kocak

This paper aims to investigate the scattering of fermions by spherically symmetric MOG black holes, which are a type of black holes encountered in scalar-tensor-vector modified gravitational theories. After determining the scattering modes…

广义相对论与量子宇宙学 · 物理学 2020-02-27 Ciprian A. Sporea

We show that colliding vortex beams instead of (approximate) plane waves can lead to a direct measurement of how the overall phase of the plane wave scattering amplitude changes with the scattering angle. Since vortex beams are coherent…

高能物理 - 唯象学 · 物理学 2012-04-13 I. P. Ivanov

The scattering phase shift encodes a good amount of physical information which can be used to study resonances from scattering data. Among others, it can be used to calculate the continuum density of states and the collision time in a…

高能物理 - 唯象学 · 物理学 2017-08-23 M. Nowakowski , N. G. Kelkar

We describe the method for extracting the elastic scattering phase shift from a lattice simulation at an introductory level, for non-lattice practitioners. We consider the scattering in a resonant channel, where the resulting phase shift…

高能物理 - 唯象学 · 物理学 2011-10-24 S. Prelovsek , C. B. Lang , D. Mohler

A novel integral representation for scattering phase shifts is obtained based on a modified version of Milne's phase-amplitude approach [W.E. Milne, Phys. Rev. $\mathbf{35}$, 863 (1930)]. We replace Milne's nonlinear differential equation…

原子物理 · 物理学 2018-02-07 D. Shu , I. Simbotin , R. Côté

Excited hadrons are seen as resonances in the scattering of lighter stable hadrons like $\pi$, $K$ and $\eta$. Many decay into multiple final states necessitating coupled-channel analyses. Recently it has become possible to obtain…

高能物理 - 格点 · 物理学 2016-11-23 David J. Wilson

Representation of the elastic scattering amplitude in the form of the path integral is obtained using the stationary Schroedinger equation. A few methods of evaluation of path integrals for large coupling constants are formulated. The…

数学物理 · 物理学 2015-06-16 G. V. Efimov

We propose a simple, intuitive alternative method of deriving the rule for connecting asymptotic wave function amplitudes to scattering probabilities. This is illustrated using the standard example of a 1-D particle reflecting or…

量子物理 · 物理学 2009-10-09 Travis Norsen

Within a plane-wave approach, a number of scattering events in a collision is insensitive to a general phase of a transition amplitude, although this phase is extremely important for a number of problems, especially in hadronic physics. In…

高能物理 - 唯象学 · 物理学 2016-12-05 Dmitry V. Karlovets

We determine scattering phase shifts for S,P,D, and F partial wave channels in two-nucleon systems using lattice QCD methods. We use a generalization of Luscher's finite volume method to determine infinite volume phase shifts from a set of…

We present a microscopic theory of spin-orbit coupling in the integer quantum Hall regime. The spin-orbit scattering length is evaluated in the limit of long-range random potential. The spin-flip rate is shown to be determined by rare…

凝聚态物理 · 物理学 2009-10-28 D. G. Polyakov

The three-nucleon ground state and the N--d scattering states are obtained using variational principles. The wave function of the system is decomposed into angular-spin-isospin channels and the corresponding two dimensional spatial…

核理论 · 物理学 2009-10-30 Alejandro Kievsky

State-of-the-art lattice QCD calculations of scattering amplitudes in coupled-channel $D\pi$, $D\eta$ and $D_{s}\bar{K}$ scattering, as well elastic $DK$ scattering are discussed. The methodology employed allows a determination of the…

高能物理 - 格点 · 物理学 2016-11-18 Graham Moir

We show how the scattering phase shift, the s-wave scattering length and the p-wave scattering volume can be obtained from Riccati equations derived in variable phase theory. We find general expressions that provide upper and lower bounds…

原子物理 · 物理学 2007-05-23 H. Ouerdane , M. J. Jamieson

Considering the elastic scattering of two charged particles, we present two methods for numerically solving the generalized Coulomb-corrected BERW formula with high accuracy across the entire energy spectrum. We illustrate these methods…

核理论 · 物理学 2024-10-04 Mirko Bagnarol , Nir Barnea , Matus Rojik , Martin Schafer

Rapid advancements in the micro and nano-technology create unlimited opportunities for design of novel optical materials and their applications. Recently, the possibility of the fast refractive index modulation was demonstrated in…

光学 · 物理学 2022-06-23 V. V. Prosentsov