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A general formalism is worked out for the description of one-dimensional scattering by non-local separable potentials and constraints on transmission and reflection coefficients are derived in the cases of P, T, or PT invariance of the…

Quantum Physics · Physics 2009-11-13 Francesco Cannata , Alberto Ventura

The extraction of hadron-hadron scattering parameters from lattice data by using the L\"uscher approach becomes increasingly complicated in the presence of inelastic channels. We propose a method for the direct extraction of the complex…

High Energy Physics - Lattice · Physics 2016-06-29 Dimitri Agadjanov , Michael Doring , Maxim Mai , Ulf-G. Meißner , Akaki Rusetsky

As guideline for forthcoming experiments, we present predictions from Chiral Effective Field Theory for polarized cross sections in low energy Compton scattering for photon energies below 170 MeV, both on the proton and on the neutron.…

Nuclear Theory · Physics 2009-11-10 Robert P. Hildebrandt , Harald W. Griesshammer , Thomas R. Hemmert

Results are presented for the elastic scattering of electrons and protons from the exotic He and Li isotopes. Comparison with scattering results from the stable He and Li nuclei allows for an investigation into the effects that the…

Nuclear Theory · Physics 2007-05-23 S. Karataglidis , K. Amos

In this paper, we study the time-independent Schr\"odinger equation within the formalism of position dependent effective mass. For a generalized decomposition of the non-central effective potential, the deformed Schr\"odinger equation can…

Quantum Physics · Physics 2016-10-27 M. Chabab , A. El Batoul , H. Hassanabadi , M. Oulne , S. Zare

The elastic Rayleigh scattering of twisted light and, in particular, the polarization (transfer) of the scattered photons have been analyzed within the framework of second-order perturbation theory and Dirac's relativistic equation. Special…

Atomic Physics · Physics 2018-05-23 A. A. Peshkov , A. V. Volotka , A. Surzhykov , S. Fritzsche

We propose a microscopic description for the polarization from the first principle through the spin-orbit coupling in particle collisions. The model is different from previous ones based on local equilibrium assumptions for the spin degree…

Nuclear Theory · Physics 2019-12-11 Jun-jie Zhang , Ren-hong Fang , Qun Wang , Xin-Nian Wang

We have probed the fragmentation dynamics in a bent triatomic molecule, water, a non-planar molecule, methanol, and a planar ring-structured molecule, benzene, using 100 fs duration pulses of linearly and circularly polarized, infrared,…

Atomic Physics · Physics 2009-11-10 F A Rajgara , M Krishnamurthy , D Mathur

The process of the elastic scattering of photons on atoms, known as the Rayleigh scattering, is investigated. Expressing the scattering observables in terms of the electric and magnetic complex scattering amplitudes, we work over the…

Atomic Physics · Physics 2020-10-20 A. V. Volotka , A. Surzhykov , S. Fritzsche

Optical potentials are a standard tool in the study of nuclear reactions, as they describe the interaction between a target nucleus and a projectile. The use of phenomenological optical potentials built using experimental data on stable…

Nuclear Theory · Physics 2025-11-18 G. H. Sargsyan , G. Potel , K. Kravvaris , J. E. Escher

We review theoretical progress and prospects for determining the nucleon's static dipole polarisabilities from Compton scattering on few-nucleon targets, including new values; see Refs. [1-5] for details and a more thorough bibliography.

Nuclear Theory · Physics 2016-12-12 Harald W. Griesshammer , Judith A. McGovern , Daniel R. Phillips

The electric dipole polarizabilities of $^3$H, $^3$He, and $^4$He are calculated directly using the Schr\"odinger equation with the latest generation of two- and three-nucleon interactions. These polarizabilities are necessary in order to…

Nuclear Theory · Physics 2010-05-27 I. Stetcu , S. Quaglioni , J. L. Friar , A. C. Hayes , P. Navrátil

Optical model potentials for elastic nucleon nucleus scattering are calculated for a number of target nuclides from a full-folding integral of two different realistic target density matrices together with full off-shell nucleon-nucleon…

Nuclear Theory · Physics 2008-11-26 Ch. Elster , S. P. Weppner , C. R. Chinn

In the paper, the results of analysis of elastic scattering and breakup processes in interactions of the $^{11}$Li nucleus with protons are presented. The hybrid model of the microscopic optical potential (OP) is applied. This OP includes…

Simultaneous $\chi^{2}$ analyses are performed for elastic scattering and fusion cross section data for the $^{12}$C+$^{208}$Pb system at near-Coulomb-barrier energies by using the extended optical model approach in which the polarization…

Nuclear Theory · Physics 2008-11-26 W. Y. So , T. Udagawa , S. W. Hong , B. T. Kim

An analytic calculation of the differential cross section for elastic Compton scattering on the deuteron at photon energies \omega in the range of 25-50 MeV is presented to next-to-next-to-leading order, i.e. to an accuracy of \sim 3%. The…

Nuclear Theory · Physics 2009-11-06 Harald W. Griesshammer , Gautam Rupak

We study a non-linear Schroedinger equation with a Hartree-type nonlinearity and a localized random time-dependent external potential. Sharp dispersive estimates for the linear Schroedinger equation with a random time-dependent potential…

Analysis of PDEs · Mathematics 2019-03-11 Marius Beceanu , Avy Soffer

We consider the defocusing nonlinear Schr{\"o}dinger equation in several space dimensions, in the presence of an external potential depending on only one space vari-able. This potential is bounded from below, and may grow arbitrarily fast…

Analysis of PDEs · Mathematics 2020-12-16 Rémi Carles , Clément Gallo

Scattering of light from an anisotropic source produces linear polarization in spectral lines and the continuum. In the outer layers of a stellar atmosphere the anisotropy of the radiation field is typically dominated by the radiation…

Solar and Stellar Astrophysics · Physics 2015-05-30 Rafael Manso Sainz , Javier Trujillo Bueno

A cartoon is drawn how and why to define and extract the energy dependence of the nucleon polarisabilities from low energy Compton scattering on the nucleon. The information dynamical polarisabilities contain about the low energy degrees of…

Nuclear Theory · Physics 2017-08-23 Harald W. Griesshammer
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