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A new implementation of estimating the two-to-two $K$-matrix from finite-volume energies based on the Luescher formalism is described. The method includes higher partial waves and multiple decay channels, and the fitting procedure properly…

High Energy Physics - Lattice · Physics 2018-04-18 Ruairí Brett , John Bulava , Jacob Fallica , Andrew Hanlon , Ben Hörz , Colin Morningstar , Bijit Singha

Multiple scattering theory is applied to low-energy electron collisions with a complex target formed of two molecular scatterers. The total T-matrix is expressed in terms of the T-matrix for each isolated molecule. We apply the approach to…

Chemical Physics · Physics 2009-11-13 D. Bouchiha , L. G. Caron , J. D. Gorfinkiel , L. Sanche

Recent advances in electron microscopy allowed the generation of high-energy electron wave packets of ultrashort duration. Here we present a non-perturbative S-matrix theory for scattering of ultrashort electron wave packets by atomic…

Atomic Physics · Physics 2026-05-08 Yuya Morimoto , Lars Bojer Madsen

Excited hadrons are seen as resonances in the scattering of lighter stable hadrons like $\pi$, $K$ and $\eta$. Many decay into multiple final states necessitating coupled-channel analyses. Recently it has become possible to obtain…

High Energy Physics - Lattice · Physics 2016-11-23 David J. Wilson

Using newly calculated electromagnetic corrections, we have made a phase shift analysis of experimental data on pi+/- p elastic scattering up to 100 MeV, assuming the effective hadronic interaction to be isospin invariant. The output…

High Energy Physics - Phenomenology · Physics 2007-10-18 A. Gashi , E. Matsinos , G. C. Oades , G. Rasche , W. S. Woolcock

In this work, the lattice Boltzmann method (LBM) is assessed as a time-domain numerical approach for electromagnetic wave scattering. Owing to its explicit formulation and suitability for parallel computation on structured grids, LBM…

Optics · Physics 2026-04-08 Mohd. Meraj Khan , Sumesh P. Thampi , Anubhab Roy

The experimental characterization of scattering resonances in low energy collisions has proven to be a stringent test for quantum chemistry calculations. Previous measurements on the NO-H$_2$ system at energies down to $10$ cm$^{-1}$…

The elastic and inelastic high--energy small--angle electron--positron scattering is considered. All radiative corrections to the cross--section with the relative accuracy $\delta\sigma/ \sigma = 0.1 \% $ are explicitly taken into account.…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. B. Arbuzov , V. S. Fadin , E. A. Kuraev , L. N. Lipatov , N. P. Merenkov , L. G. Trentadue

We argue that due to isospin and U-spin invariance of strong low-energy interactions the S-wave scattering lengths a^0_0 and a^1_0 of bar-KN scattering with isospin I=0 and I = 1 satisfy the low-energy theorem a^0_0 + 3 a^1_0 = 0 valid to…

We introduce a recipe to estimate the low-energy scattering parameters of a quantum few-body system - scattering length, effective range, and shape parameter - by using only discrete state calculations. We place the system in an artificial…

Nuclear Theory · Physics 2025-08-12 D. V. Fedorov , A. M. Pedersen

Low-energy elastic and inelastic scattering in the Ps(1$s$)-Ps(2$s$) channel is treated in a four-body hyperspherical coordinate calculation. Adiabatic potentials are calculated for triplet-triplet, singlet-singlet, and singlet-triplet spin…

Atomic Physics · Physics 2019-08-07 Michael D. Higgins , Kevin M. Daily , Chris H. Greene

The recent theoretical and experimental activities in positronium (Ps) scattering by atoms and molecules are reviewed with special emphasis at low energies. We critically compare the results of different groups $-$ theoretical and…

Chemical Physics · Physics 2009-11-07 Sadhan K. Adhikari

We suggest a method for calculating scattering phase shifts and energies and widths of resonances which utilizes only eigenenergies obtained in variational calculations with oscillator basis and their dependence on oscillator basis spacing…

Nuclear Theory · Physics 2016-12-28 A. M. Shirokov , A. I. Mazur , I. A. Mazur , J. P. Vary

We examine SERS from two perspectives: as a phenomenon described by the Laplace Equation (the electrostatic or Rayleigh limit) and by the Helmholtz Equation (electrodynamic or Mie limit). We formulate the problem in terms of the scalar…

Optics · Physics 2011-09-14 E. J. Adles , S. Franzen , D. E. Aspnes

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

Relativistic two-photon decay rates of the $2s_{1/2}$ and $2p_{1/2}$ states towards the $1s_{1/2}$ ground state of hydrogenic atoms are calculated by using numerically exact energies and wave functions obtained from the Dirac equation with…

Atomic Physics · Physics 2018-04-13 Livio Filippin , Michel Godefroid , Daniel Baye

We calculate the electromagnetic corrections to the isospin invariant mixing angle and to the two eigenphases for the $s$-, $p_{1/2}$- and $p_{3/2}$-partial waves for $\pi^- p$ elastic and charge exchange scattering. These corrections have…

High Energy Physics - Phenomenology · Physics 2007-10-18 A. Gashi , E. Matsinos , G. C. Oades , G. Rasche , W. S. Woolcock

Since the mass of the electron is very small relative to atomic masses, Thomson scattering of low-energy photons ($h\nu \ll m_ec^2$) produces thermal Doppler frequency shifts that are much larger than atomic Doppler widths. A method is…

Astrophysics · Physics 2011-05-23 G. B. Rybicki , D. G. Hummer

We derive the relation between the scattering phase shift and the two-particle energy in the finite box, which is relevant for extracting the strong phase shifts in lattice QCD. We consider elastic scattering of two particles with different…

High Energy Physics - Lattice · Physics 2013-05-30 Luka Leskovec , Sasa Prelovsek

Electron energy loss spectroscopy is consolidating as a powerful tool to explore electronic (as well as vibrational) excitations of matter, including molecules. Performed in a scanning transmission electron microscope, this technique is…

Chemical Physics · Physics 2021-03-05 Ciro A. Guido , Enzo Rotunno , Matteo Zanfrognini , Stefano Corni , Vincenzo Grillo
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