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The inclusion of strong coupling to states of projectile and target nuclei for 115.9 MeV \nuc{16}{O} scattering from \nuc{12}{C} leads to an S-matrix which, when subject to $S_{L} \rightarrow V(r) $ inversion, yields highly undulatory local…

Nuclear Theory · Physics 2016-09-14 Raymond S. Mackintosh

We present an iterative algorithm to compute numerical approximations of the potential for the Schr\"odinger operator from scattering data. Four different types of scattering data are used as follows: fixed energy, fixed incident angle,…

Numerical Analysis · Mathematics 2016-01-20 Juan Antonio Barceló , Carlos Castro , Juan Manuel Reyes

We propose a model, based on a quantum stochastic differential equation (QSDE), to describe the scattering of polarized laser light by an atomic gas. The gauge terms in the QSDE account for the direct scattering of the laser light into…

Quantum Physics · Physics 2013-05-29 Luc Bouten , John K. Stockton , Gopal Sarma , Hideo Mabuchi

We present a determination of optical potentials for $^4$He-target collisions using the double-folding method. We use chiral effective field theory nucleon-nucleon interactions at next-to-next-to-leading order combined with state-of-the-art…

Nuclear Theory · Physics 2022-01-19 V. Durant , P. Capel

We derived microscopic optical potentials (OPs) for elastic nucleon-nucleus scattering within the framework of chiral effective field theories at the first-order term of the spectator expansion of the Watson multiple-scattering theory and…

Nuclear Theory · Physics 2023-12-27 Carlotta Giusti , Matteo Vorabbi , Paolo Finelli

Let $S(k)$ be the scattering matrix for a Schr\"odinger operator (Laplacian plus potential) on $\RR^n$ with compactly supported smooth potential. It is well known that $S(k)$ is unitary and that the spectrum of $S(k)$ accumulates on the…

Spectral Theory · Mathematics 2015-02-27 Jesse Gell-Redman , Andrew Hassell

We study ab initio computations of the interaction of Lithium with a strong laser field. Numerical solutions of the time-dependent fully-correlated three-particle Schroedinger equation restricted to the one-dimensional soft-core…

Atomic Physics · Physics 2009-11-10 Camilo Ruiz , Luis Plaja , Luis Roso

We develop a model based on a multiple scattering theory to describe the diffusion of polarized light in disordered media exhibiting short-range structural correlations. Starting from exact expressions of the average field and the field…

Optics · Physics 2016-10-03 Kevin Vynck , Romain Pierrat , Rémi Carminati

This paper is concerned with the inverse problem to recover a compactly supported Schr{\"o}dinger potential given the differential scattering cross section, i.e. the modulus, but not the phase of the scattering amplitude. To compensate for…

Analysis of PDEs · Mathematics 2018-12-26 Alexey Agaltsov , Thorsten Hohage , Roman Novikov

Calculating microscopic optical potentials for elastic nucleon-nucleus scattering has already led to large body of work in the past. For folding first-order calculations the nucleon-nucleon (NN) interaction and the one-body density of the…

Nuclear Theory · Physics 2019-04-24 M. Burrows , Ch. Elster , S. P. Weppner , K. D. Launey , P. Maris , A. Nogga , G. Popa

The present paper explores possible features of electron elastic scattering off endohedral fullerenes $A$@C$_{60}$. It focuses on how dynamical polarization of the encapsulated atom $A$ by an incident electron might alter scattering off…

Atomic Physics · Physics 2015-11-03 V. K. Dolmatov , M. Ya. Amusia , L. V. Chernysheva

We investigate theoretical approaches to pion--nucleus elastic scattering at high energies (300 $\le T_\pi \le$ 1 GeV). A ``model--exact'' calculation of the lowest--order microscopic optical model, carried out in momentum space and…

Nuclear Theory · Physics 2009-10-22 C. M. Chen , D. J. Ernst , M. B. Johnson

Based on the quantum electrodynamics, we present a generic formalism of the polarization for beamed monochromatic photons scattered by electrons in any spectral distribution. The formulae reduce to the components of the Fano matrix when…

High Energy Astrophysical Phenomena · Physics 2014-11-07 Zhe Chang , Yunguo Jiang , Hai-Nan Lin

The scattering of a weakly bound (halo) projectile nucleus by a heavy target nucleus is investigated. A new approach, called the Uncorrelated Scattering Approximation, is proposed. The main approximation involved is to neglect the…

Nuclear Theory · Physics 2009-11-07 A. M. Moro , J. A. Caballero , J. Gómez-Camacho

Shell model wave functions have been used to form microscopic g-folding optical potentials with which elastic scattering data from 8He, 10,11C, and 18,20,22O scattering on hydrogen has been analyzed. Those potentials, the effective…

Nuclear Theory · Physics 2009-11-13 S. Karataglidis , Y. J. Kim , K. Amos

A solution of the scattering problem is obtained for the Schr\"odinger equation with the potential of induced dipole interaction, which decreases as the inverse square of the distance. Such a potential arises in the collision of an incident…

Atomic Physics · Physics 2023-08-23 V. A. Gradusov , S. L. Yakovlev

We consider a quantum theory of elastic light scattering from a macroscopic atomic sample existing in the Bose-Einstein condensate (BEC) phase. The dynamics of the optical excitation induced by an incident photon is influenced by the…

Quantum Physics · Physics 2018-05-09 V. M. Porozova , L. V. Gerasimov , M. D. Havey , D. V. Kupriyanov

We develop a method to construct a microscopic optical potential from chiral interactions for nucleon-nucleus scattering. The optical potential is constructed by combining the Green's function approach with the coupled-cluster method. To…

Nuclear Theory · Physics 2017-02-17 J. Rotureau , P. Danielewicz , G. Hagen , F. Nunes , T. Papenbrock

We investigate the polarization parameters in low-energy antiproton-proton elastic ($\bar{p}p\rightarrow\bar{p}p$) and charge-exchange ($\bar{p}p\rightarrow\bar{n}n$) scattering. The predictions for unmeasured observables are based on our…

High Energy Physics - Phenomenology · Physics 2013-05-27 Daren Zhou , Rob G. E. Timmermans

We study the inverse scattering problem for the three dimensional nonlinear Schroedinger equation with the Yukawa potential. The nonlinearity of the equation is nonlocal. We reconstruct the potential and the nonlinearity by the knowledge of…

Analysis of PDEs · Mathematics 2008-06-25 Hironobu Sasaki