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Using the hyperspherical adiabatic method with the realistic nuclear potentials Argonne V14, Argonne V18, and Argonne V18 with the Urbana IX three-body potential, we calculate the adiabatic potentials and the triton bound state energies. We…

Nuclear Theory · Physics 2015-03-23 K. M. Daily , Alejandro Kievsky , Chris H. Greene

In this paper, we have provided exact two-body solutions to the 2D and 3D Schr\"odinger equations with isotropic van der Waals potentials of the form \(\pm 1/r^6\). Based on these solutions, we developed an analytical quantum defect theory…

Quantum Gases · Physics 2025-08-22 Jianwen Jie , Shi Chen , Yue Chen , Ran Qi

Polarizabilities, dispersion coefficients, and long-range atom-surface interaction potentials are calculated for the n=2 triplet and singlet states of helium using highly accurate, variationally determined, wave functions.

Atomic Physics · Physics 2007-05-23 Zong-Chao Yan , J. F. Babb

The study of scattering processes in few body systems is a difficult problem especially if long range interactions are involved. In order to solve such problems, we develop here a potential-splitting approach for three body systems. This…

Atomic Physics · Physics 2016-06-13 E. Yarevsky , S. L. Yakovlev , Å. Larson , N. Elander

A method of direct solution of the Faddeev equations for the bound-state problem with zero total angular momentum is used to calculate the binding energies. The results for binding energies of He$_2$$^6$Li and He$_2$$^7$Li systems and…

Atomic and Molecular Clusters · Physics 2019-05-06 E. A. Kolganova , V. Roudnev

We report the bulk and surface properties of lithium computed within a full potential LCGTO formalism using both density functional theory and the Hartree-Fock approximation. We examine the convergence of computed properties with respect to…

Materials Science · Physics 2009-10-31 K. Doll , N. M. Harrison , V. R. Saunders

We study the three-body scattering hypervolume $D$ of atoms whose scattering length $a$ is on the order of or smaller than the typical range $r_{\mathrm{vdW}}$ of the van der Waals attraction. We find that the real part of $D$ behaves…

We describe a method for computing near-exact energies for correlated systems with large Hilbert spaces. The method efficiently identifies the most important basis states (Slater determinants) and performs a variational calculation in the…

Chemical Physics · Physics 2020-01-22 Junhao Li , Yuan Yao , Adam A. Holmes , Matthew Otten , Qiming Sun , Sandeep Sharma , C. J. Umrigar

A new potential energy surface for the electronic ground state of the simplest triatomic anion H3- is determined for a large number of geometries. Its accuracy is improved at short and large distances compared to previous studies. The…

Atomic Physics · Physics 2015-05-18 M. Ayouz , O. Dulieu , R. Guerout , J. Robert , V. Kokoouline

Electron momentum density and Compton profiles in Lithium along $<100 >$, $<110>$, and $<111>$ directions are calculated using Full-Potential Linear Augmented Plane Wave basis within generalized gradient approximation. The profiles have…

Materials Science · Physics 2009-10-31 Tunna Baruah , Rajendra R. Zope , Anjali Kshirsagar

We consider the Efimov trimer theory as a possible framework to explain recently observed losses by inelastic three-body collisions in a three-hyperfine-component ultracold mixture of lithium 6. Within this framework, these losses would…

Atomic Physics · Physics 2015-05-13 Pascal Naidon , Masahito Ueda

We investigate theoretically the combination of first-order quadrupole-quadrupole and second-order dipole-dipole effects on the long-range electrostatic interactions between a ground-state homonuclear alkali-metal dimer and an excited…

Quantum Physics · Physics 2017-04-19 Maxence Lepers , Olivier Dulieu

The semi-exponential basis set of radial functions (A.M. Frolov, Physics Letters A {\bf 374}, 2361 (2010)) is used for variational computations of bound states in three-electron atomic systems. It appears that semi-exponential basis set has…

High Energy Physics - Phenomenology · Physics 2011-03-21 Alexei M Frolov

We study the atomistic-to-continuum limit of a class of energy functionals for crystalline materials via Gamma-convergence. We consider energy densities that may depend on interactions between all points of the lattice and we give…

Analysis of PDEs · Mathematics 2019-10-02 Annika Bach , Andrea Braides , Marco Cicalese

The general formalism of the multipolar expansion of electrostatic interactions is applied to the calculation the potential energy between an excited atom (without fine structure) and a ground state diatomic molecule at large separations.…

Quantum Physics · Physics 2017-04-11 M. Lepers , O. Dulieu , V. Kokoouline

We derive three-body equations valid at finite densities and temperatures. These are based on the cluster mean field approach consistently including proper self energy corrections and the Pauli blocking. As an application we investigate the…

Nuclear Theory · Physics 2009-10-31 M. Beyer , W. Schadow , C. Kuhrts , G. Roepke

For the lithium dimer we calculate cross sections for absorption of radiation from the vibrational-rotational levels of the ground X [singlet Sigma g +] electronic state to the vibrational levels and continua of the excited A [singlet Sigma…

Atomic Physics · Physics 2007-05-23 H. -K. Chung , K. Kirby , J. F. Babb

We explore the three-body problem in two dimensions using the adiabatic hyperspherical representation. We develop the main equations in terms of democratic hyperangular coordinates and determine several symmetry properties and boundary…

Quantum Physics · Physics 2015-06-19 J. P. D'Incao , B. D. Esry

We compute the final kinetic energies of the fragments emitted in the light charged particle accompanied cold fission of $^{252}$Cf taking into account the ground state quadrupole deformation and the finite-size effects of the fragments and…

Nuclear Theory · Physics 2007-05-23 Serban Misicu , A. Sandulescu , F. Carstoiu , M. Rizea , W. Greiner

We report extensive self-consistent calculations of jellium surface energies, by going beyond the local-density approximation. The density-response function of a bounded free-electron gas is evaluated within the random-phase approximation,…

Materials Science · Physics 2009-10-31 J. M. Pitarke , A. G. Eguiluz