Yukawa potential
E84642
central potential
mathematical model in physics
potential
screened Coulomb potential
short-range potential
The Yukawa potential is a mathematical model in physics that describes the short-range force between particles mediated by massive bosons, originally proposed to explain the nuclear force between nucleons.
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
central potential
ⓘ
mathematical model in physics ⓘ potential ⓘ screened Coulomb potential ⓘ short-range potential ⓘ |
| appliesTo | spherically symmetric interactions ⓘ |
| approximates | nucleon–nucleon interaction at intermediate ranges ⓘ |
| associatedWith | Yukawa interaction in quantum field theory ⓘ |
| characterizedAs | exponentially screened 1/r potential ⓘ |
| contrastsWith | long-range Coulomb potential ⓘ |
| contributedTo | Hideki Yukawa receiving the Nobel Prize in Physics ⓘ |
| correspondsTo | tree-level exchange of a scalar boson ⓘ |
| dependsOn | radial distance r ⓘ |
| describes |
force mediated by massive bosons
ⓘ
short-range interaction between particles ⓘ |
| domain | three-dimensional space ⓘ |
| fallsOffAs | e^{-\mu r} / r ⓘ |
| hasAsymptoticBehavior | vanishes rapidly at large distances ⓘ |
| hasDimensionality | energy ⓘ |
| hasHistoricalSignificance | first theoretical model of nuclear force ⓘ |
| hasMathematicalForm | V(r) = - g^2 e^{-\mu r} / (4 \pi r) ⓘ |
| hasParameter |
coupling constant g
ⓘ
mediator mass m ⓘ screening parameter \mu ⓘ |
| implies | finite range for forces mediated by massive particles ⓘ |
| introducedInContextOf | strong nuclear force ⓘ |
| isSolutionOf | static Klein–Gordon equation with point source ⓘ |
| mediatedBy | massive bosons ⓘ |
| namedAfter | Hideki Yukawa ⓘ |
| originallyProposedFor | nuclear force between nucleons ⓘ |
| rangeControlledBy |
Compton wavelength of mediator boson
ⓘ
inverse of screening parameter 1/\mu ⓘ |
| reducesTo | Coulomb potential when mediator mass goes to zero ⓘ |
| relatedConcept |
Yukawa coupling
ⓘ
massive scalar field ⓘ screening length ⓘ |
| relatedTo | pion exchange between nucleons ⓘ |
| usedIn |
bound-state problems
ⓘ
condensed matter physics ⓘ nuclear physics ⓘ particle physics ⓘ plasma physics ⓘ quantum field theory ⓘ scattering calculations ⓘ screened interactions in many-body systems ⓘ |
| usedToModel |
effective interactions in colloidal suspensions
ⓘ
interactions in dusty plasmas ⓘ screened electrostatic interactions in plasmas ⓘ screened interactions in ionic solutions ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.