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Scalars and Vectors
Published in Mattias Blennow, Mathematical Methods for Physics and Engineering, 2018
Problem 1.51. a screened point charge at the origin may be described by the Yukawa potential () ϕ(x→)=q4πre−kr,
Understanding the Atom and the Nucleus
Published in Robert E. Masterson, Nuclear Engineering Fundamentals, 2017
Because the nuclear force defined by the Yukawa potential holds the nucleus together, it is important to understand how this potential compares to the Coulomb potential when it comes to its effect on protons and neutrons. The Coulomb potential is defined by
Topological and real charge of Bjerrum defects in ices Ih and Ic
Published in Molecular Physics, 2020
Simple approximation (3) becomes inaccurate at high concentrations. The next simplest approximation is the Debye–Hückel theory for point charges (aka ‘limiting law’). The effective Coulomb potential screened by the ionic atmosphere of other ions takes the form of the Yukawa potential. For the difference of both defects, it holds (see [25], Equations (4.9) and (4.10)) where is the Debye screening length, and ρ is the sum of number densities of both defects.
Exact matrix elements for general two-body central-force interactions, expressed as sums of products
Published in Molecular Physics, 2019
Jonathan Jerke, Jacek Karwowski, Bill Poirier
Finally, the Yukawa potential [31,32,35] includes an exponential damping of the long distance interaction: This can simulate charge screening effects, e.g. in condensed matter or plasma physics. Alternatively, in particle physics, the Yukawa potential describes interacting particles for which the force carrier particles have non-zero mass. In any event, for the Yukawa potential, .