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Coherent scattering of light by a single quantum emitter is a fundamental process at the heart of many proposed quantum technologies. Unlike atomic systems, solid-state emitters couple to their host lattice by phonons. Using a quantum dot…

We extend our previous results of solving the inverse problem of quantum scattering theory (Marchenko theory, fixed-$l$ inversion). In particular, we apply an isosceles triangular-pulse function set for the Marchenko equation input kernel…

Nuclear Theory · Physics 2025-03-18 N. A. Khokhlov

Results are presented for an updated multichannel energy-dependent partial-wave analysis of $\pi N$ scattering. Our earlier work incorporated single-energy amplitudes for $\pi N \rightarrow \pi N$, $\gamma N \rightarrow \pi N$, $\pi N…

Nuclear Experiment · Physics 2019-05-29 B C Hunt , D M Manley

We present an efficient implementation of the Bethe-Salpeter equation (BSE) for optical properties of materials in the projector augmented wave method GPAW. Single-particle energies and wave functions are obtained from the GLLBSC functional…

Materials Science · Physics 2012-07-20 Jun Yan , Karsten W. Jacobsen , Kristian S. Thygesen

Scalar, baryon and vector--current densities in coordinate and momentum space are calculated within a relativistic mean--field model. The role of the low components of the bound nucleon wave function is investigated in detail for different…

Nuclear Theory · Physics 2009-10-31 J. A. Caballero , T. W. Donnelly , E. Moya de Guerra , J. M. Udias

We present a new and complete analysis of the n-bounce resonance and chaotic scattering in solitary wave collisions. In these phenomena, the speed at which a wave exits a collision depends in a complicated fractal way on its input speed. We…

Pattern Formation and Solitons · Physics 2007-05-23 Roy H. Goodman , Richard Haberman

Nucleon-nucleon ($NN$) interactions based on chiral effective theories are commonly used in ab initio calculations of light nuclei. Here we present a study based on three different NN interactions (up to next-to-next-to-leading order) for…

Nuclear Theory · Physics 2023-06-23 R. B. Baker , M. Burrows , Ch. Elster , P. Maris , G. Popa , S. P. Weppner

We consider the quadratic nonlinear Schr\"{o}dinger system (NLS system) \begin{align*}\begin{cases} i\partial_t u + \Delta u = v \overline{u}, \\ i\partial_t v+\kappa \Delta v = u^2, \end{cases} \text{ on } I \times \mathbb{R}^5,…

Analysis of PDEs · Mathematics 2019-03-16 Masaru Hamano , Takahisa Inui , Kuranosuke Nishimura

We present a new algebraic method for solving the inverse problem of quantum scattering theory based on the Marchenko theory. We applied a triangular wave set for the Marchenko equation kernel expansion in a separable form. The separable…

Quantum Physics · Physics 2021-07-07 N. A. Khokhlov , L. I. Studenikina

A construction of node-less atomic orbitals and energy-dependent, node-reduced partial waves is presented, that contains the full information of the atomic eigenstates and that allows to represent the scattering properties in a transparent…

Chemical Physics · Physics 2012-10-23 Peter E. Blöchl , Clemens Först

Electron optics deals with condensed matter platforms for manipulating and guiding electron beams with high efficiency and robustness. Common devices rely on the spatial confinement of the electrons into one-dimensional channels. Recently,…

Mesoscale and Nanoscale Physics · Physics 2024-03-04 Yuhao Zhao , Anina Leuch , Oded Zilberberg , Antonio Štrkalj

The multirank separable kernels of the neutron-proton interaction for uncoupled $S$ and $P$ partial waves (with the total angular momentum $J$=0,1) are proposed. Two different methods of a relativistic generalization of initially…

Nuclear Theory · Physics 2010-01-15 S. G. Bondarenko , V. V. Burov , W. -Y. Pauchy Hwang , E. P. Rogochaya

The effects of components in an assumed model interaction potential, as well as of the order to which its deformation is taken, upon resonances in the low-energy cross sections and upon sub-threshold bound states of the compound nucleus…

Nuclear Theory · Physics 2007-05-23 K Amos , L. Canton , G. Pisent , J. P. Svenne , D van der Knijff

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…

Nuclear Theory · Physics 2009-10-30 Alejandro Kievsky

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

We have analytically explored the quantum phenomenon of particle scattering by harmonically trapped Bose and Fermi gases with the short ranged (Fermi-Huang $\delta^3_p$ [1]) interactions among the incident particle and the scatterers. We…

Quantum Physics · Physics 2018-03-20 Ankita Bhattacharya , Samir Das , Shyamal Biswas

We set up a general framework to describe $\pi\pi$ scattering below 1 GeV based on chiral low-energy expansion with possible spin-0 and 1 resonances. Partial wave amplitudes are obtained with the $N/D$ method, which satisfy unitarity,…

High Energy Physics - Phenomenology · Physics 2008-11-26 Keiji Igi , Ken-ichi Hikasa

We report on a non-linear scattering effect that challenges the notion of topological protection for wave packets propagating in chiral edge modes. Specifically, in a Floquet topological system close to resonant driving and with a…

Quantum Gases · Physics 2023-08-30 Benjamin Michen , Jan Carl Budich

A refined investigation on light flavor meson-baryon scatterings is performed using a dynamical coupled-channel approach, the J\"ulich-Bonn model, that respects unitartiy and analyticity constraints. The channel space of $\pi N$, $\pi…

Nuclear Theory · Physics 2022-12-07 Yu-Fei Wang , Deborah Rönchen , Ulf-G. Meißner , Yu Lu , Chao-Wei Shen , Jia-Jun Wu

Recently, a relativistic chiral nucleon-nucleon interaction is formulated up to leading order which provides a good description of the phase shifts of $J\leq1$ partial waves [Chin. Phys. C 42 (2018) 014103]. Nevertheless, a separable…

Nuclear Theory · Physics 2021-06-09 Xiu-Lei Ren , Chun-Xuan Wang , Kai-Wen Li , Li-Sheng Geng , Jie Meng