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A detailed description of Moscow-type (M-type) potential models for the NN interaction is given. The microscopic foundation of these models, which appear as a consequence of the composite quark structure of nucleons, is discussed. M-type…

Nuclear Theory · Physics 2008-11-26 V. I. Kukulin , V. N. Pomerantsev , Amand Faessler , A. J. Buchmann , E. M. Tursunov

A geometrical model for tri-nuclear molecules is presented. An analytical solution is obtained provided the nuclei, which are taken to be prolately deformed, are connected in line to each other. Furthermore, the tri-nuclear molecule is…

Nuclear Theory · Physics 2008-11-26 P. O. Hess , S. Misicu , W. Greiner , W. Scheid

The variational procedure to construct compact and accurate wave functions for three-electron atoms and ions is developed. The procedure is based on the use of six-dimensional gaussoids written in the relative four-body coordinates $r_{12},…

Atomic Physics · Physics 2011-01-11 Alexei M. Frolov , David M. Wardlaw

In this work, we present a systematic study of low-lying states and electromagnetic properties of the semi-magic $N = 82$ isotonic chain with proton number $Z=51$-77, using the full configuration interaction shell model with a newly…

Nuclear Theory · Physics 2026-01-15 Y. X. Yu , Q. Y. Chen , Chong Qi , G. J. Fu

A rescaled Manning potential is obtained in the analysis of scatterings of small- amplitude excitations with a kink defect. The generic model is a nonlinear Klein- Gordon Hamiltonian describing a one-dimensional chain of identical…

Chemical Physics · Physics 2025-10-23 Alain M. Dikande

We present a set of three-component Stackel potentials defined by five parameters and designed to model the Milky Way. We review the fundamental constraints that any model of the Milky Way must satisfy, including the most recent ones…

Astrophysics · Physics 2009-11-07 B. Famaey , H. Dejonghe

We introduce "bond-counting" potentials, which provide an elementary description of covalent bonding. These simplistic potentials are intended for studies of the mechanisms behind a variety of phase transitions in elemental melts, including…

Chemical Physics · Physics 2021-04-09 Shlomi Matityahu , Nathan Argaman

We theoretically investigate the spin structure of weakly bound diatomic van der Waals molecules formed by two identical bosonic alkali atoms. Our studies were performed using known Born-Oppenheimer potentials while developing a reduced…

Atomic Physics · Physics 2025-09-09 Jing-Lun Li , Paul S. Julienne , Johannes Hecker Denschlag , José P. D'Incao

The structure of A=3 low-energy scattering states is described using the hyperspherical harmonics method with realistic Hamiltonian models, consisting of two- and three-nucleon interactions. Both coordinate and momentum space two-nucleon…

Nuclear Theory · Physics 2009-01-16 L. E. Marcucci , L. Girlanda , A. Kievsky , S. Rosati , M. Viviani

We consider finite discrete systems consisting of two different atomic types and investigate ground-state configurations for configurational energies featuring two-body short-ranged particle interactions. The atomic potentials favor some…

Mesoscale and Nanoscale Physics · Physics 2019-04-15 Manuel Friedrich , Leonard Kreutz

This is the manuscript of my "Habilitation \`a diriger des recherches", where I present the research work that I have done after my PhD, defended in 2009. The manuscript is divided in two parts. The first one is dedicated to…

Quantum Gases · Physics 2025-11-17 Maxence Lepers

Differential Faddeev equations in total angular momentum representation are used for the first time to investigate ultra-low energy elastic scattering of a helium atom on a helium dimer. Six potential models of interatomic interaction are…

Atomic and Molecular Clusters · Physics 2009-11-07 V. A. Roudnev

We theoretically characterize interactions, energetics, and chemical reaction paths in ionic two-body and three-body systems of alkali-metal and alkaline-earth-metal atoms in the context of modern experiments with cold hybrid ion-atom…

Atomic Physics · Physics 2021-02-16 Michał Śmiałkowski , Michał Tomza

The driving terms in three-body theories of elastic and inelastic scattering of a charged particle off a bound state of two other charged particles contain the fully off-shell two-body Coulomb T-matrix describing the intermediate-state…

Nuclear Theory · Physics 2016-09-08 E. O. Alt , A. S. Kadyrov , A. M. Mukhamedzhanov , M. Rauh

We consider the quantum entanglement of the electronic and vibrational degrees of freedom in molecules with a tendency towards double welled potentials using model coupled harmonic diabatic potential-energy surfaces. The von Neumann entropy…

Quantum Physics · Physics 2012-02-24 Laura K. McKemmish , Ross H. McKenzie , Noel S. Hush , Jeffrey R. Reimers

Motivated by recent HAL QCD simulations of the $\phi N$ interaction in the $^4S_{3/2}$ channel and its modification in the $^2S_{1/2}$ channel, we develop a first-principles few-body framework that embeds these potentials into…

Nuclear Theory · Physics 2026-05-26 Rimantas Lazauskas , Roman Ya. Kezerashvili , Igor Filikhin

The recently published DeePMD model (https://github.com/deepmodeling/deepmd-kit), based on a deep neural network architecture, brings the hope of solving the time-scale issue which often prevents the application of first principle molecular…

Computational Physics · Physics 2019-10-23 Aris Marcolongo , Tobias Binninger , Federico Zipoli , Teodoro Laino

This communication is both a pedagogical note for understanding polyatomic modelling in kinetic theory and a ''cheat sheet'' for a series of corresponding concepts and formulas. We explain, detail and relate three possible approaches for…

Analysis of PDEs · Mathematics 2025-01-31 Marzia Bisi , Thomas Borsoni , Maria Groppi

The elastic scattering properties of three bosons at low energy enter the many-body description of ultracold Bose gases via the three-body scattering hypervolume $D$. We study this quantity for identical bosons that interact via a pairwise…

Atomic Physics · Physics 2019-11-25 P. M. A. Mestrom , V. E. Colussi , T. Secker , S. J. J. M. F. Kokkelmans

A one parameter solvable model for three bosons subject to delta function interactions in one-dimension with periodic boundary conditions is studied. The energy levels and wave functions are classified and given explicitly in terms of three…

Quantum Physics · Physics 2009-10-31 J. G. Muga , R. F. Snider