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The nucleon-nucleon J-matrix Inverse Scattering Potential JISP16 is applied to elastic nucleon-deuteron (Nd) scattering and the deuteron breakup process at the lab. nucleon energies up to 135 MeV. The formalism of the Faddeev equations is…

An approximate method is proposed for the recovery of a compactly supported spherically-symmetric potential from the set of fixed-energy phase-shifts known for all angular momenta. The method reduces the inverse scattering problem to a…

Mathematical Physics · Physics 2016-09-07 A. G. Ramm , W. Scheid

This paper proposes a data-driven method to solve the fixed-energy inverse scattering problem for radially symmetric potentials using radial basis function (RBF) neural networks in an open-loop control system. The method estimates the…

Nuclear Theory · Physics 2026-02-09 Gábor Balassa

Accurately modelling cold and ultracold reactive collisions occuring over deep potential wells, such as \ce{D+ + H2 -> H+ + HD}, requires the development of new theoretical and computational methodologies. One potentially useful framework…

Chemical Physics · Physics 2019-02-08 Laura K. McKemmish , Jonathan Tennyson

Motivated by recently developed techniques making it possible to compute Casimir energies for any object whose scattering S-matrix (or, equivalently, T-matrix) is available, we develop a variable phase method to compute the S-matrix for…

Quantum Physics · Physics 2013-01-01 Aden Forrow , Noah Graham

A technique based on speckle contrast measurement is proposed and demonstrated to track the polarization rotation of an optical beam behind a scattering layer. It is shown that with the help of a reference speckle pattern with a known…

Optics · Physics 2018-12-03 Abhijit Roy , Rakesh Kumar Singh , Maruthi M. Brundavanam

Neutron scattering on exotic nuclides is a class of processes which can not be studied directly now and in any observable future. Resonance proton scattering of exotic nuclide on a thick target in inverse kinematics can be used to infer the…

Nuclear Theory · Physics 2025-04-22 M. S. Khirk , L. V. Grigorenko , D. E. Lanskoy , P. G. Sharov

For calculation of the single-channel nucleon-nucleon scattering a phase-functions method has been considered. Using a phase-functions method the following phase shifts of a nucleon-nucleon scattering are calculated numerically: nn (1S0-,…

Nuclear Theory · Physics 2016-03-08 V. I. Zhaba

The technique of polarized neutron scattering is reviewed with emphasis on applications. Many examples of the usefulness of the method in various fields of physics are given like the determination of spin density maps, measurement of…

Strongly Correlated Electrons · Physics 2007-05-23 B. Roessli , P. Böni

The S-matrix approach is used to calculate charged as well as neutral pion production reactions from NN scattering, with the same set of underlying processes and interactions. The chiral perturbation theory piN scattering amplitude is used.…

Nuclear Theory · Physics 2008-11-26 V. Malafaia , M. T. Pena , Ch. Elster , J. Adam

We derive the $\mathcal{T}$-matrix formalism tailored for numerical analysis of second-harmonic (SH) generation from arbitrarily shaped particles made of centrosymmetric optical materials. First, the transfer matrix of a single particle is…

Optics · Physics 2025-08-18 Ivan Sekulic , Ji Tong Wang , Jian Wei You , Nicolae C. Panoiu

We present a non-perturbative expression for the scattering matrix of $N$ particles interacting inside a quantum dot. Characterizing the dot by its resonances, we find a compact form for the scattering matrix in a real-time representation.…

Mesoscale and Nanoscale Physics · Physics 2008-06-10 A. V. Lebedev , G. B. Lesovik , G. Blatter

We calculate the T-matrices of pseudoscalar meson octet-baryon scattering to one-loop order in SU(3) heavy baryon chiral perturbation theory. The pertinent combinations of low-energy constants are determined by fitting to phase shifts of…

Nuclear Theory · Physics 2017-07-31 Bo-Lin Huang , Jin-Sheng Zhang , Yun-De Li , Norbert Kaiser

We give a pedagogical introduction to time-independent scattering theory in one dimension focusing on the basic properties and recent applications of transfer matrices. In particular, we begin surveying some basic notions of potential…

Quantum Physics · Physics 2020-09-23 Ali Mostafazadeh

Fixed energy inverse scattering theory has been used to define central and spin-orbit Schr\"odinger potentials for the scattering of 5 eV polarized electrons from Xe atoms. The results are typical for a range of such data; including…

Atomic Physics · Physics 2009-11-06 A. Lovell , K. Amos

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 report a variational approach to the nonlinearly screened interaction of charged particles with a many-electron system. This approach has been developed by introducing a modification of the Schwinger variational principle of scattering…

Materials Science · Physics 2009-11-11 V. U. Nazarov , S. Nishigaki , J. M. Pitarke , C. S. Kim

We make a systematic examination of the role played by the restriction that the cross section in polarized coincidence electronuclear processes must be positive. The necessary formalism for unpolarized scattering structure functions is…

Nuclear Theory · Physics 2016-08-15 V. Dmitrašinović

We consider the inverse scattering problem associated with any number of interacting modes in one-dimensional structures. The coupling between the modes is contradirectional in addition to codirectional, and may be distributed continuously…

Mathematical Physics · Physics 2011-11-10 Ole Henrik Waagaard , Johannes Skaar

In this paper, we present the standard form of the scattering matrix of mesocopic system with spin-orbital coupling which preserves time reversal symmetry. We found some analytical structure of the scattering matrix related to the…

Mesoscale and Nanoscale Physics · Physics 2013-11-26 Yongjin Jiang , Xiaoli Lu , Feng Zhai