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Relativistic models developed for the exclusive and inclusive quasielastic (QE) electron scattering have been extended to charged-current (CC) and neutral-current (NC) neutrino-nucleus scattering. Different descriptions of final-state…

Nuclear Theory · Physics 2009-12-07 C. Giusti , A. Meucci , F. D. Pacati , J. A. Caballero , J. M. Udias

In the paper, in the scattering problem for the valence electron model potential a self-adjoint extension is performed and Rutherford formula is modified. The scattering of slow particles for this potential is also discussed and the changes…

General Physics · Physics 2025-03-24 Anzor Khelashvili , Teimuraz Nadareishvili

Instead of using local field equations - like the Dirac equation for spin-1/2 and the Klein-Gordon equation for spin-0 particles - one could try to use non-local field equations in order to describe scattering processes. The latter…

High Energy Physics - Theory · Physics 2008-02-25 Tobias Gleim

For calculation of the single-channel nucleon-nucleon scattering a phase-functions method has been proposed. Using a phase-functions method the following phase shifts of a np- scattering numerically for 1S0-, 1P1-, 3P0-, 3P1-, 1D2-, 3D2-,…

Nuclear Theory · Physics 2016-04-06 V. I. Zhaba

Light-matter interaction is exploited in spectroscopic techniques to access information about molecular, atomic or nuclear constituents of the sample of interest. While scattered light carries both amplitude and phase information of the…

In this paper, we study the solutions to the energy-critical quadratic nonlinear Schr\"odinger system in ${\dot H}^1\times{\dot H}^1$, where the sign of its potential energy can not be determined directly. If the initial data ${\rm u}_0$ is…

Analysis of PDEs · Mathematics 2021-07-13 Chuanwei Gao , Fanfei Meng , Chengbin Xu , Jiqiang Zheng

We study $I=3/2$ elastic $K\pi $ scattering to Born order using nonrelativistic quark wavefunctions in a constituent-exchange model. This channel is ideal for the study of nonresonant meson-meson scattering amplitudes since s-channel…

High Energy Physics - Phenomenology · Physics 2009-10-22 T. Barnes , E. S. Swanson , J. Weinstein

In this article, we propose a numerical approach to solve quantum mechanical scattering problems, using phase function method, by considering neutron-proton interaction as an example. The nonlinear phase equation, obtained from the…

Nuclear Theory · Physics 2023-10-12 Shikha Awasthi , Anil Khachi , Lalit Kumar , O. S. K. S. Sastri

The scattering amplitude for the recently discovered exactly solvable shape invariant potential, which is isospectral to the generalized P\"oschl-Taylor potential, is calculated explicitly by considering the asymptotic behavior of the…

Mathematical Physics · Physics 2015-06-12 Rajesh Kumar Yadav , Avinash Khare , Bhabani Prasad Mandal

In this present work, the scattering state solutions of the Spinless Salpeter equation with the Varshni potential model were investigated. The approximate scattering phase shift, normalization constant, bound state energy, wave number and…

Quantum Physics · Physics 2017-02-24 O. J. Oluwadare , K. J. Oyewumi

A phase diagram, defined by the amplitude square and phase of scattering coefficients for absorption cross-section in each individual channel, is introduced as a universal map on the electromagnetic properties for passive scatterers.…

Optics · Physics 2015-05-26 Jeng Yi Lee , Ray-Kuang Lee

Within a covariant Bethe-Salpeter approach the relativistic complex separable kernel of the neutron-proton interaction for the coupled $^3S_1^+$-$^3D_1^+$ partial-wave state is constructed. The rank-six separable potential elaborated…

Nuclear Theory · Physics 2011-11-03 S. G. Bondarenko , V. V. Burov , E. P. Rogochaya

The relation between the R- and P-matrix approaches and the harmonic oscillator representation of the quantum scattering theory (J-matrix method) is discussed. We construct a discrete analogue of the P-matrix that is shown to be equivalent…

Mathematical Physics · Physics 2009-10-31 J. M. Bang , A. I. Mazur , A. M. Shirokov , Yu. F. Smirnov , S. A. Zaytsev

We show that both confined atoms and electron-atom scattering can be described by a unified basis set method. The central idea behind this method is to place the atom inside a hard potential sphere, enforced by a standard Slater type basis…

Other Condensed Matter · Physics 2015-05-13 Meta van Faassen

The phase shifts for the higher partial waves in the spin quartet and doublet channel of nd scattering are presented at next-to-leading and next-to-next-to-leading order in an effective field theory in which pions are integrated out. The…

Nuclear Theory · Physics 2017-08-23 F. Gabbiani

We review a recently developed transfer matrix formulation of the stationary scattering in two and three dimensions where the transfer matrix is a linear operator acting in an infinite-dimensional function space. We discuss its utility in…

Mathematical Physics · Physics 2023-10-03 Farhang Loran , Ali Mostafazadeh

We study relativistic scattering when one only has access to a subset of the particles, using the language of quantum measurement theory. We give an exact, non-perturbative formula for the von Neumann entanglement entropy of an apparatus…

High Energy Physics - Theory · Physics 2016-06-13 Daniel Carney , Laurent Chaurette , Gordon Semenoff

We present a calculation of the phase-shift for $\pi$-$\pi$ scattering in isospin-1, spin-1 channel in the elastic region. The mass and width of the rho resonance is extracted by fitting these phaseshifts. To vary the scattering momentum we…

High Energy Physics - Lattice · Physics 2015-11-20 Dehua Guo , Andrei Alexandru

Semi-analytic expressions for the static limit of the T-matrix for electromagnetic scattering are derived for a circular torus, expressed in bases of both toroidal and spherical harmonics. The scattering problem for an arbitrary static…

Computational Physics · Physics 2019-09-04 Matt Majic

A simple way to generate low energy phase shifts for elastic scattering using bound-state calculations is postulated, validated and applied to the problem of e+ - Mg scattering. The essence of the method is to use the energy shift between a…

Atomic Physics · Physics 2007-05-23 J. Mitroy , M. W. J. Bromley