Hill regions of charged three-body systems
نویسندگان
چکیده
For charged three-body systems, we discuss the configurations and orientations that are admissible for given values of conserved total energy angular momentum. The discussed on a configuration space is reduced by translational, rotational dilation symmetries systems. We consider examples systems helium atom (two electrons nucleus) compound two one positron. comparison, well known example Newtonian gravitational system scheme presented in this paper first.
منابع مشابه
A Simple Charged Three-Body Problem
Dedicated to Paul Blanchard on the occasion of his sixtieth birthday. Abstract: The dynamics of a simple model of three charged bodies interacting under an inverse square electrostatic force is presented. The model may be viewed as an alternative to the pendulum, the standard model of a periodically forced and damped nonlinear oscillator.
متن کاملThree-body forces between charged colloidal particles.
Within nonlinear Poisson-Boltzmann theory we calculate the pair and triplet interactions between charged colloidal spheres, specifically in the nonlinear regime of low salt concentrations and high charges. We find repulsive pair interactions and attractive triplet interactions. Within a van der Waals-like mean-field theory we estimate in which parameter regime a gas-liquid coexistence is to be ...
متن کاملEnhanced Three-Body Decay of the Charged Higgs Boson
If the charged Higgs boson H+ exists with mH+ < mt+mb, the conventional expectation is that it will decay dominantly into cs̄ and τντ . However, the three-body decay mode H+ → W+bb̄ is also present and we show that it becomes very important in the low tan β region for mH+ ∼ > 140 GeV. We then explore its phenomenological implications for the charged-Higgs-boson search in top-quark decay. The disc...
متن کاملDirect measurement of three-body interactions amongst charged colloids.
Three-body interactions amongst three charged colloidal particles are measured in a deionized aqueous solution. Two of the particles are confined to an optical line trap while the third one is approached by means of a focused laser beam. From the observed particle configurations we extract the three-body potential which is found to be attractive and roughly of the same magnitude and range as th...
متن کاملQualitative Study of a Charged Restricted Three–body Problem
We characterize the global flow of the restricted threebody problem in which we have two mass points of equal masses m1 = m2 > 0 and equal charge q1 = q2 moving on a straight line under Newtonian and Coulombian forces with their centre of mass being fixed at the origin of coordinates and the third mass point with infinitesimal mass, is moving on the straight line perpendicular to the line of mo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 2023
ISSN: ['0019-3577', '1872-6100']
DOI: https://doi.org/10.1016/j.indag.2022.10.003