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We present an analytical many-body formalism for systems of spherical particles carrying arbitrary free charge distributions and interacting in a polarizable electrolyte solution, that we model within the linearized Poisson--Boltzmann…

Soft Condensed Matter · Physics 2025-12-15 Sergii V. Siryk , Walter Rocchia

Within the hyperspherical harmonics approach the three-body problem is reduced to a motion of one effective particle in a "strongly deformed" field, which is described in coupled-channel formalism. This method is especially suited to…

Nuclear Theory · Physics 2019-07-26 O. M. Sukhareva , L. V. Grigorenko , D. A. Kostyleva , M. V. Zhukov

We present a quantization condition for the spectrum of a system composed of three identical bosons in a finite volume with periodic boundary conditions. This condition gives a relation between the finite volume spectrum and infinite volume…

High Energy Physics - Lattice · Physics 2013-05-29 Raul A. Briceno , Zohreh Davoudi

We consider a system of stochastic interacting particles with general diffusion coefficient and drift functions and we study the types of collisions that arise in them. In particular, interactions between particles are inversely…

Probability · Mathematics 2025-09-30 Sergio Andraus , Nicole Hufnagel , Jacek Małecki

In this communication we introduce a new model which represents the interaction between an atom and two fields injected simultaneously within a cavity including the nonlinear couplers. By using the canonical transformation the model can be…

Quantum Physics · Physics 2009-11-13 Mahmoud Abdel-Aty , M. Sebawe Abdalla , Barry C. Sanders

Stable bound quantum states are ubiquitous in nature. Mostly, they result from the interaction of only pairs of particles, so called two-body interactions, even when large complex many-particle structures are formed. We show that…

Strongly Correlated Electrons · Physics 2022-09-15 Gary Schmiedinghoff , Leanna Müller , Umesh Kumar , Götz S. Uhrig , Benedikt Fauseweh

We develop an analytical model for ultracold atom-ion collisions using the multichannel quantum-defect formalism. The model is based on the analytical solutions of the r^-4 long-range potential and on the application of a frame…

Atomic Physics · Physics 2015-05-28 Zbigniew Idziaszek , Andrea Simoni , Tommaso Calarco , Paul S. Julienne

A formalism based on the complex-scaling method is presented to solve the few particle scattering problem in configuration space using bound state techniques with trivial boundary conditions. Several applications to A=3,4 systems are…

Nuclear Theory · Physics 2015-06-12 Rimantas Lazauskas , Jaume Carbonell

This paper builds on two previous works, Lindgren et al. J. Comp. Phys. 371, 712-731 (2018) and Quan et al. arXiv:1807.05384 (2018), to devise a new method to solve the problem of calculating electrostatic interactions in a system composed…

Soft Condensed Matter · Physics 2019-02-20 Eric B. Lindgren , Chaoyu Quan , Benjamin Stamm

We study a quantum mechanical system consisting of up to three identical dipoles confined to move along a helical shaped trap. The long-range interactions between particles confined to move in this one dimension leads to an interesting…

Quantum Physics · Physics 2016-08-17 J. K. Pedersen , D. V. Fedorov , A. S. Jensen , N. T. Zinner

Collisions in a system of two particles at energies close to a bound state in different channels are discussed. Next, the bound state decays into a third coupled channel. A phenomenological approach to dd->pi-p3He reaction is presented.

Nuclear Theory · Physics 2014-04-17 Slawomir Wycech , Wojciech Krzemien

Coupled-channel final-state-interaction effects for D and B weak decays into \pi \pi and K \bar{K} are discussed in a Regge framework. It is found that the inclusion of coupled-channel effects significantly affects the results obtained…

High Energy Physics - Phenomenology · Physics 2009-10-31 P. Zenczykowski

The exact wavefunction of an isolated three-body resonance at finite scattering length is obtained for two identical particles interacting with another one via a pairwise zero-range potential. The corresponding universal spectrum is studied…

Quantum Gases · Physics 2025-12-01 Ludovic Pricoupenko

This article deals with the issues of global-in-time existence and asymptotic analysis of a fluid-particle interaction model in the so-called bubbling regime. The mixture occupies the physical space $\Omega \subset \mathbb{R}^3$ which may…

Analysis of PDEs · Mathematics 2010-06-16 Jose A. Carrillo , Trygve Karper , Konstantina Trivisa

We present several possible hadronic states found in coupled-channel models within the on-shell approximation. The interaction potential is constructed as a sum of the tree-level Feynman diagrams calculated with the effective Lagrangians.…

High Energy Physics - Phenomenology · Physics 2015-04-20 Xu Cao

We prove three exact sum rules that relate the polarization of active Brownian particles to their one-body current: (i) The total polarization vanishes, provided that there is no net flux through the boundaries, (ii) at any planar wall the…

Statistical Mechanics · Physics 2020-06-01 Sophie Hermann , Matthias Schmidt

We review the basics of the coupled-cluster expansion formalism for numerical solutions of the many-body problem, and we outline the principles of an approach directed towards an adequate inclusion of continuum effects in the associated…

Nuclear Theory · Physics 2009-11-10 Bogdan Mihaila

Formalism based on complex-scaling method is developed for solving the few particle scattering problem by employing only trivial boundary conditions. Several applications are presented proving efficiency of the method in describing elastic…

Nuclear Theory · Physics 2015-03-19 Rimantas Lazauskas , Jaume Carbonell

The model of Fermi particles with random two-body interaction is investigated. This model allows to study the origin and accuracy of statistical laws in few-body systems, the role of interaction and chaos in thermalization, Fermi-Dirac…

Condensed Matter · Physics 2009-10-28 V. V. Flambaum , F. M. Izrailev , G. Casati

The dependence of inter-particle correlations on the orientation of particle relative-momentum can yield unique information on the space-time features of emission in reactions with multiparticle final states. In the present paper, the…

Nuclear Theory · Physics 2008-11-26 Pawel Danielewicz , Scott Pratt