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The complex Kohn variational principle and the (correlated) hyperspherical harmonics method are applied to study the proton-deuteron elastic scattering at energies above the deuteron breakup threshold. Results for the elastic cross section…

Nuclear Theory · Physics 2009-10-31 A. Kievsky , S. Rosati , M. Viviani

We present a convergent variational basis-set calculational scheme for elastic scattering of positronium atom by hydrogen atom in S wave. Highly correlated trial functions with appropriate symmetry are needed for achieving convergence. We…

Atomic Physics · Physics 2009-11-07 Sadhan K. Adhikari , Puspajit Mandal

We introduce a new type of Gutzwiller variational wavefunction for correlated electrons coupled to phonons, able to treat on equal footing electronic and lattice degrees of freedom. We benchmark the wavefunction in the infinite-$U$…

Strongly Correlated Electrons · Physics 2007-07-24 P. Barone , R. Raimondi , M. Capone , C. Castellani , M. Fabrizio

The Kohn variational principle and the (correlated) Hyperspherical Harmonics technique are applied to study the n-3H and p-3He scattering at zero energy. Predictions for the singlet and triplet scattering lengths are obtained for…

Nuclear Theory · Physics 2009-10-31 M. Viviani , S. Rosati , A. Kievsky

Following the Gauge Theory Bootstrap method proposed in our previous work [arXiv:2309.12402], we compute pion scattering phase shifts for all partial waves with angular momentum $\ell\le 3$ up to 2 GeV and calculate the low energy $\chi$PT…

High Energy Physics - Theory · Physics 2025-08-11 Yifei He , Martin Kruczenski

The S-wave model of electron-hydrogen scattering is evaluated using the convergent close-coupling method with an emphasis on scattering from excited states including an initial state from the target continuum. Convergence is found for…

Atomic Physics · Physics 2009-10-31 Chris Plottke , Igor Bray

Results are presented for highly accurate ab initio variational calculation of the rotation - vibration energy levels of H2O2 in its electronic ground state. These results use a recently computed potential energy surface and the variational…

Earth and Planetary Astrophysics · Physics 2014-06-27 Oleg L. Polyansky , Igor N. Kozin , Roman I. Ovsyannikov , Pawel Malyszek , Jacek Koput , Jonathan Tennyson , Sergei N. Yurchenko

A statistical analysis of the elastic unpolarized electron proton scattering data shows that, at large momentum transfer, the size and the $\epsilon$ dependence of the radiative corrections, as traditionally calculated and applied, may…

High Energy Physics - Phenomenology · Physics 2008-11-26 Egle Tomasi-Gustafsson

Eigenvector continuation EC has been shown to accurately and efficiently reproduce ground states for targeted sets of Hamiltonian parameters. It uses as variational basis vectors the corresponding ground-state eigensolutions from selected…

Nuclear Theory · Physics 2021-01-28 R. J. Furnstahl , A. J. Garcia , P. J. Millican , Xilin Zhang

We investigate the effect of high order radiative corrections in unpolarized electron proton elastic scattering and compare with the calculations at lowest order, which are usually applied to experimental data. Particular attention is…

High Energy Physics - Phenomenology · Physics 2015-06-17 E. A. Kuraev , A. I. Ahmadov , Yu. M. Bystritskiy , E. Tomasi-Gustafsson

An eikonal expansion is developed in order to provide systematic corrections to the eikonal approximation through order 1/k^2, where k is the wave number. The expansion is applied to wave functions for the Klein-Gordon equation and for the…

Nuclear Theory · Physics 2011-07-19 J. A. Tjon , S. J. Wallace

The electron structure function method is applied to calculate model-independent radiative corrections to an asymmetry of electron-proton scattering. The representations for both spin-independent and spin-dependent parts of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. V. Afanasev , I. Akushevich , N. P. Merenkov

Two integral relations derived from the Kohn Variational Principle (KVP) are used for describing scattering states. In usual applications the KVP requires the explicit form of the asymptotic behavior of the scattering wave function. This is…

Nuclear Theory · Physics 2015-05-18 A. Kievsky , M. Viviani , P. Barletta , C. Romero-Redondo , E. Garrido

The elastic scattering cross sections for a slow electron by C2 and H2 molecules have been calculated within the framework of the non-overlapping atomic potential model. For the amplitudes of the multiple electron scattering by a target the…

Atomic Physics · Physics 2017-10-04 A S Baltenkov , A Z Msezane

The elastic neutron-${}^3\mathrm{H}$ scattering at intermediate energies is studied using rigorous integral equations solved in the momentum-space partial-wave basis. The four-particle transition operators are expanded into…

Nuclear Theory · Physics 2025-02-24 A. Deltuva

Coulomb corrections for quasi-elastic scattering of electrons by nuclei are calculated using eikonal distorted waves. Corrections to the lowest-order eikonal approximation are included in order to obtain accurate results. Spin-dependent…

Nuclear Theory · Physics 2008-11-26 J. A. Tjon , S. J. Wallace

Diagrammatic many-body theory is used to calculate the scattering phase shifts, normalized annihilation rates $Z_{\rm eff}$ and annihilation gamma spectra for positron collisions with the hydrogen-like ions He$^+$, Li$^{2+}$, B$^{4+}$ and…

Atomic Physics · Physics 2014-04-22 D. G. Green , G. F. Gribakin

Different computational methods are employed to evaluate elastic (rotationally summed) integral and differential cross sections for low energy (below about 10 eV) positron scattering off gas-phase C$_2$H$_2$ molecules. The computations are…

Chemical Physics · Physics 2009-11-13 J. Franz , F. A. Gianturco , K. L. Baluja , J. Tennyson , R. Carey , R. Montuoro , R. R. Lucchese , T. Stoecklin

We investigate the effect of high order radiative corrections in unpolarized electron proton elastic scattering and compare with the calculations at lowest order, which are usually applied to experimental data. We show that higher order…

High Energy Physics - Phenomenology · Physics 2008-05-26 E. A. Kuraev , Yu. Bystritskiy , S. Bakmaev , V. V. Bytev , E. Tomasi-Gustafsson

We describe a variational method to solve the Holstein model for an electron coupled to dynamical, quantum phonons on an infinite lattice. The variational space can be systematically expanded to achieve high accuracy with modest…

Strongly Correlated Electrons · Physics 2009-10-31 J. Bonca , S. A. Trugman , I. Batistic