Screened Coulomb potential which exponentially decays
In particle, atomic and condensed matter physics, a Yukawa potential (also called a screened Coulomb potential) is a potential named after the Japanese physicist Hideki Yukawa. The potential is of the form:
where is a magnitude scaling constant, i.e. is the amplitude of potential, m is the mass of the particle, r is the radial distance to the particle, and α is another scaling constant, so that is the approximate range. The potential is monotonically increasing in r and it is negative, implying the force is attractive. In the SI system, the unit of the Yukawa potential is (1/meters).
The Coulomb potential of electromagnetism is an example of a Yukawa potential with the factor equal to 1, everywhere. This can be interpreted as saying that the photon mass m is equal to 0. The photon is the force-carrier between interacting, charged particles.
In interactions between a meson field and a fermion field, the constant is equal to the gauge coupling constant between those fields. In the case of the nuclear force, the fermions would be a proton and another proton or a neutron.
physics, a Yukawapotential (also called a screened Coulomb potential) is a potential named after the Japanese physicist Hideki Yukawa. The potential is of...
physics, Yukawa's interaction or Yukawa coupling, named after Hideki Yukawa, is an interaction between particles according to the Yukawapotential. Specifically...
theoretical development included a description of the Yukawapotential, an early example of a nuclear potential. Pions, fulfilling the prediction, were discovered...
associated potentials, including the Coulomb potential, the van der Waals potential, the Lennard-Jones potential and the Yukawapotential. In electrochemistry...
Hideki Yukawa ForMemRS FRSE (湯川 秀樹, Yukawa Hideki, 23 January 1907 – 8 September 1981) was a Japanese theoretical physicist and the first Japanese Nobel...
{k} \cdot \mathbf {r} \right) \over k^{2}}={1 \over 4\pi r}.} The Yukawapotential in three dimensions can be represented as an integral over a Fourier...
field φ and a Dirac field Ψ of a particular type Yukawapotential, a potential of a particular form Yukawa–Tsuno equation, first developed in 1959, is a...
Certain aspects of the nuclear force can be described by a Yukawapotential. The potential play a prominent role in the Lagrangian and Hamiltonian formulations...
The Morse potential, named after physicist Philip M. Morse, is a convenient interatomic interaction model for the potential energy of a diatomic molecule...
as cylindrical curved surfaces interacting via the Coulomb potential or Yukawapotential, have been shown to break translational and rotational symmetries...
distance, though there is no simple expression known for this; see Yukawapotential. The rapid decrease with distance of the attractive residual force...
nucleons together. Written in a non-relativistic form, it is called the Yukawapotential. The pion, being spinless, has kinematics described by the Klein–Gordon...
n} of monovalent ions, the electrostatic potential takes the form of a screened-Coulomb or Yukawapotential, β U ( r ) = Z 2 λ B ( e κ a 1 + κ a ) 2 e...
developed further, notably to massive force carriers (e.g. for the Yukawapotential). Physics portal Virtual particle Fundamental interaction Exciton "Exchange...
transforms. Yukawapotentials are particular cases of Bessel potentials for s = 2 {\displaystyle s=2} in the 3-dimensional space. The Bessel potential acts by...
search tree and many random simulations are used to estimate the long-term potential of each move. A black box simulator represents the opponent's moves. The...
gravitational potential continues with the inverse square law at very small distances. Tests so far have focused on a divergence from GR in the form of a Yukawa potential...
(π) was first proposed to exist by Yukawa in the 1930s as the primary force carrying boson of the Yukawapotential in nuclear interactions, and was later...
Fujii : 3 proposing a model that changes distance dependence with a Yukawapotential-like term: V ( r ) = − G ∞ m i m j r i j ( 1 + α e − r / λ ) {\displaystyle...
only described informally or resides in the data scientist's memory. The potential for losing this information creates issues for reproducibility. To address...
Regge trajectories can be obtained for many other potentials, in particular also for the Yukawapotential. Regge trajectories appear as poles of the scattering...
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