\[U=-g^2\frac{e^{-\mu r}}{r}\]
Variables
Upotential energy (J)
ginteraction coupling constant
muscreening parameter (1/m)
rdistance between particles (m)
Description
What is this formula?
The Yukawa potential describes a short-range interaction potential between particles mediated by massive exchange particles.
When to use it
Use this formula in nuclear physics, particle physics, plasma physics, and chemical physics when modeling screened or finite-range forces.
Example
Two particles interact with:
g = 1.5×10^-14
mu = 2.0×10^10 1/m
r = 3.0×10^-10 m
Formula:
U = -(g²*e^(-mu*r))/r
Substitution:
U = -((1.5×10^-14)² × e^(-(2.0×10^10 × 3.0×10^-10))) / (3.0×10^-10)
Result:
U ≈ -1.86×10^-21 J
The Yukawa interaction potential is approximately -1.86×10^-21 J.
Applications
- Nuclear force modeling
- Plasma shielding
- Particle interaction theory
- Quantum field theory
- Screened Coulomb interactions