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The fundamental description of both structural properties and reactions of light nuclei in terms of constituent protons and neutrons interacting through nucleon-nucleon and three-nucleon forces is a long-sought goal of nuclear theory. I…

We consider relativistic collisions of heavy hydrogen-like ions with hydrogen and helium atoms in which the ion-atom interaction causes both colliding particles to undergo transitions between their internal states. Using an approach…

Atomic Physics · Physics 2007-10-04 A. B. Voitkiv , B. Najjari , J. Ullrich

Soliton interactions in systems modelled by coupled nonlinear Schroedinger (CNLS) equations and encountered in phenomena such as wave propagation in optical fibers and photorefractive media possess unusual features : shape changing…

Exactly Solvable and Integrable Systems · Physics 2009-11-07 T. Kanna , M. Lakshmanan

We investigate the effect of the breaking of integrability in the integrals of motion of a sine-Gordon-like system. The class of quasi-integrable models, discussed in the literature, inherits some of the integrable properties they are…

Exactly Solvable and Integrable Systems · Physics 2024-08-20 P. H. S. Palheta , P. E. G. Assis , T. M. N. Gonçalves

A spatially discrete version of the general kink-bearing nonlinear Klein-Gordon model in (1+1) dimensions is constructed which preserves the topological lower bound on kink energy. It is proved that, provided the lattice spacing h is…

High Energy Physics - Theory · Physics 2009-10-31 J. M. Speight

I consider non-relativistic bosons interacting via pairwise potentials with infinite scattering length and supporting no two-body bound states. To lowest order in effective field theory, these conditions lead to non-interacting bosons,…

Quantum Gases · Physics 2019-07-16 Manuel Valiente

This article introduces the "Goldilocks model" for a few repulsively interacting particles trapped in a one-dimensional harmonic well and provides exact solutions for the three-particle case. The Goldilocks model shares features with two…

Quantum Physics · Physics 2021-08-26 Molte Emil Strange Andersen , N. L. Harshman , Nikolaj Thomas Zinner

This paper is concerned with the interaction of two solitons of nearly equal speeds for the (BBM) equation. This work is an extension of the results obtained in arXiv:0910.3204 by the same authors, addressing the same question for the…

Analysis of PDEs · Mathematics 2009-11-06 Yvan Martel , Frank Merle

Inelastic effects in the Coulomb blockade and Kondo regimes of electron transport through molecular junctions are considered within a simple nonequilibrium equation-of-motion (EOM) approach. The scheme is self-consistent, and can…

Mesoscale and Nanoscale Physics · Physics 2007-07-02 Michael Galperin , Abraham Nitzan , Mark A. Ratner

Gravitational and electromagnetic interactions are Hamiltonian systems with forces between pairs of particles. We propose an alternative: Hamiltonian dynamics with triplet interactions between point particles. Our system has a potential…

Chaotic Dynamics · Physics 2025-07-22 J. D. Meiss

In this work, we study kink collisions in a scalar field model with scalar-kinetic coupling. This model supports kink/antikink solutions with inner structure in the energy density. The collision of two such kinks is simulated by using the…

High Energy Physics - Theory · Physics 2020-03-02 Yuan Zhong , Xiao-Long Du , Zhou-Chao Jiang , Yu-Xiao Liu , Yong-Qiang Wang

We investigate kink-antikink collisions in a model characterized by two scalar fields in the presence of geometric constrictions. The model includes an auxiliary function that modifies the kinematics associated with one of the two fields.…

High Energy Physics - Theory · Physics 2023-10-31 João G. F. Campos , Fabiano C. Simas , D. Bazeia

We study the (spin-)Peierls transition in quasi-one-dimensional disordered systems, treating the lattice classically. The role of kinks, induced thermally and by disorder, is emphasized. For weak interchain interaction the kinks destroy the…

Condensed Matter · Physics 2007-05-23 M. Mostovoy , D. Khomskii

Relativistic magnetic reconnection is a key mechanism for dissipating magnetic energy and accelerating particles in astrophysics. In the absence of radiative cooling, recent particle-in-cell (PIC) simulations have shown that high-energy…

High Energy Astrophysical Phenomena · Physics 2026-01-15 Ian Bowyer , Dimitrios Giannios , Lorenzo Sironi

We study the effects of integrability breaking on the relaxation dynamics of the (double) sine-Gordon model. Compared to previous studies, we apply an alternative viewpoint motivated by open-system physics by separating the phase field into…

Statistical Mechanics · Physics 2024-12-02 D. Szász-Schagrin , D. X. Horváth , G. Takács

We consider a hybrid atom-ion system consisting of a pair of bosons interacting with a single ion in a quasi-one-dimensional trapping geometry. Building upon a model potential for the atom-ion interaction developed in earlier theoretical…

Quantum Physics · Physics 2023-02-14 Daniel J. Bosworth , Maxim Pyzh , Peter Schmelcher

Theoretical foundation and application of the generalized spin-fermion (sp-d) exchange lattice model to magnetic and diluted magnetic semiconductors are discussed. The capabilities of the model to describe spin quasi-particle spectra are…

Strongly Correlated Electrons · Physics 2009-11-10 A. L. Kuzemsky

We propose a new model for a homogeneous description of hadron-hadron and hadron-nucleus collisions, the Gluon Exchange Model, fundamentally based on color octet (gluon) exchange. In proton-proton collisions we provide an exact description…

Nuclear Theory · Physics 2021-03-17 Marek Jeżabek , Andrzej Rybicki

Collisions between cold polar molecules represent a fascinating research frontier, but have proven hard to probe experimentally. We report measurements of inelastic cross sections for collisions between NO and ND 3 molecules at energies…

We study interfacial waves in a system of two horizontal layers of immiscible inviscid fluids involved into horizontal vibrational motion. We analyze the linear and nonlinear stability properties of the solitons in the system and consider…

Pattern Formation and Solitons · Physics 2015-05-22 Denis S. Goldobin , Kseniya V. Kovalevskaya , Dmitry V. Lyubimov