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Soliton motion in some external potentials is studied using the nonlinear Schr\"odinger equation. Solitons are scattered by a potential wall. Solitons propagate almost freely or are trapped in a periodic potential. The critical kinetic…

Pattern Formation and Solitons · Physics 2009-11-10 H. Sakaguchi , M. Tamura

Background: Elastic scattering is probably the main event in the interactions of nucleons with nuclei. Even if this process has been extensively studied in the last years, a consistent description, i.e., starting from microscopic two- and…

Nuclear Theory · Physics 2017-11-22 M. Vorabbi , P. Finelli , C. Giusti

We consider the elastic scattering and bound states of charged quantum particles moving in the Aharonov-Bohm and an attractive $\rho^{-2}$ potential in a partial wave approach. Radial solutions of the stationary Schr\"{o}dinger equation are…

Quantum Physics · Physics 2008-11-26 Juergen Audretsch , Vladimir D. Skarzhinsky , Boris L. Voronov

Elastic scattering is a very important process to understand nuclear interactions in finite nuclei. Despite decades of efforts, the goal of reaching a coherent description of this physical process in terms of microscopic forces is still far…

Nuclear Theory · Physics 2018-12-12 Matteo Vorabbi , Paolo Finelli , Carlotta Giusti

We formulate microscopic neutron-nucleus optical potentials from many-body perturbation theory based on chiral two- and three-body forces. The neutron self energy is first calculated in homogeneous matter to second order in perturbation…

Nuclear Theory · Physics 2020-07-01 T. R. Whitehead , Y. Lim , J. W. Holt

Advances in the ability to manipulate free electron phase profiles within the electron microscope have spurred development of quantum-mechanical descriptions of electron energy loss (EEL) processes involving transitions between phase-shaped…

Mesoscale and Nanoscale Physics · Physics 2024-02-09 Marc R. Bourgeois , Austin G. Nixon , Matthieu Chalifour , David J. Masiello

The theory of scattering of atom pairs in a periodic potential is presented for the case of different atoms. When the scattering dynamics is restricted to the lowest Bloch band of the periodic potential, a separation in relative and average…

Other Condensed Matter · Physics 2009-11-13 R. T. Piil , N. Nygaard , K. Molmer

The study of scattering processes in few body systems is a difficult problem especially if long range interactions are involved. In order to solve such problems, we develop here a potential-splitting approach for three body systems. This…

Atomic Physics · Physics 2016-06-13 E. Yarevsky , S. L. Yakovlev , Å. Larson , N. Elander

The polarisation dependence of the intensity of elastic magnetic scattering from \ymno\ single crystals has been measured at 25 K in magnetic fields between 1 and 9 T. A significant polarisation dependence was observed in the intensities of…

Strongly Correlated Electrons · Physics 2013-06-21 P. J. Brown , T. Chatterji

The inelastic scattering of electrons on weakly-bound nuclei is studied with a simple model based on the long range behavior of the bound state wavefunction and on the effective-range expansion for the continuum wavefunctions. Three…

Nuclear Theory · Physics 2009-11-11 C. A. Bertulani

Ionization and excitation of water molecules in intense laser pulses is studied theoretically by solving the three-dimensional time-dependent electronic Schr\"odinger equation within the single-active-electron approximation. The possibility…

Atomic Physics · Physics 2011-12-13 Simon Petretti , Alejandro Saenz , Alberto Castro , Piero Decleva

Within the framework of electroweak theory, we investigate the elastic scattering process $ e^{-} + \nu_{\mu} \rightarrow e^{-} + \nu_{\mu}$ in the presence of an intense elliptically polarized laser field. We derive an analytical…

High Energy Physics - Phenomenology · Physics 2022-12-28 R. Chahri , S. El Asri , S. Mouslih , M. Jakha , B. Manaut , S. Taj

Low-energy cross sections for elastic scattering and recoil of protons from $^4$He nuclei (also known as $\alpha$ particles) are calculated directly by solving the Schr\"odinger equation for five nucleons interacting through accurate two-…

Nuclear Theory · Physics 2014-12-17 Guillaume Hupin , Sofia Quaglioni , Petr Navrátil

The calculable R-matrix method is applied to solve the Schr\"odinger equation in the optical model (OM) analysis of the elastic nucleon-nucleus scattering using a nonlocal nucleon optical potential (OP). The phenomenological nonlocal…

Nuclear Theory · Physics 2019-01-04 Doan Thi Loan , Nguyen Hoang Phuc , Dao T. Khoa

In this sketch, I focus on Physics and formalism behind dynamical polarisabilities, a new tool to test and interpret quantitative predictions about the low-energy degrees of freedom inside the nucleon from the multipoles of Compton…

Nuclear Theory · Physics 2007-05-23 Harald W. Griesshammer

Compton scattering on light nuclei ($A=2,3$) has emerged as an effective avenue to search for signatures of neutron polarizabilities, both spin--independent and spin--dependent ones. In this discussion I will focus on the theoretical aspect…

Nuclear Theory · Physics 2015-05-14 Deepshikha Shukla

We present a method for extraction of detailed information on polarized quark densities from semi-inclusive deep inelastic scattering l+N -> l+h+X, in both LO and NLO QCD without any assumptions about fragmentation functions and polarized…

High Energy Physics - Phenomenology · Physics 2017-08-23 Ekaterina Christova , Elliot Leader

We present a method for accurately computing transition probabilities in one-dimensional photoionization problems. Our approach involves solving the time-dependent Schr\"odinger equation and projecting its solution onto scattering states…

Computational Physics · Physics 2025-04-10 Martín Barlari , Diego G. Arbó , María Silvia Gravielle , Darío M. Mitnik

As nuclear wave functions have to obey the Pauli principle, potentials issued from reaction theory or Hartree-Fock formalism using finite-range interactions contain a non-local part. Written in coordinate space representation, the…

Nuclear Theory · Physics 2010-01-06 N. Michel

We use the tridiagonal representation approach to solve the radial Schr\"odinger equation for the continuum scattering states of the Kratzer potential. We do the same for a radial power-law potential with inverse-square and inverse-cube…

Quantum Physics · Physics 2023-11-16 A. D. Alhaidari , M. E. H. Ismail