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| Yukawa interaction | |
|---|---|
| Name | Yukawa interaction |
| Caption | Hideki Yukawa |
| Field | Theoretical physics |
| Introduced | 1935 |
| Introduced by | Hideki Yukawa |
| Related | Meson, Pion, Nuclear force, Quantum field theory |
Yukawa interaction is the quantum field theoretic coupling postulated to mediate short-range forces via massive scalar or pseudoscalar bosons. Conceived to explain binding inside the Atomic nucleus, it provided the first quantitative mechanism connecting Hideki Yukawa's meson hypothesis with the later discovery of the Pion and shaped the development of Quantum chromodynamics, Effective field theory, and Nuclear physics models.
Hideki Yukawa proposed the interaction in 1935 while at the Kyoto University theoretically addressing the range of the Nuclear force that binds protons and neutrons in the Atomic nucleus. His work responded to experimental results from groups such as those at the Cavendish Laboratory and the University of California, Berkeley investigating cosmic ray particles and meson candidates, and it influenced contemporaries including Werner Heisenberg, Enrico Fermi, and Ernest Rutherford. The initial meson hypothesis preceded and anticipated the identification of the Pion by experimental teams led by Cecil Powell and collaborators at the University of Bristol and Manchester University. Yukawa's proposal earned him the Nobel Prize in Physics in 1949 and steered theoretical programs at institutions like the Institute for Advanced Study and CERN.
The Yukawa interaction is formulated in Quantum field theory by an action coupling a fermion field to a scalar or pseudoscalar boson. In canonical presentations this involves a Dirac field introduced in the style of Paul Dirac and a scalar field akin to formulations used by Julian Schwinger and Richard Feynman in perturbative expansions. The interaction term appears as g ψ̄ψφ or g ψ̄ iγ5 ψφ depending on parity, where g denotes a coupling constant reminiscent of parameters studied by Sin-Itiro Tomonaga and Hans Bethe in renormalization contexts. Regularization and renormalization techniques developed by Gerard 't Hooft, Martinus Veltman, and earlier by Wolfgang Pauli and Victor Weisskopf are applied to control divergences in loop corrections to the Yukawa coupling.
At nonrelativistic limit the exchange of a massive boson yields the Yukawa potential, V(r) = −(g^2/4π) (e^{−μr}/r), where μ is the boson mass in natural units. The derivation uses methods from Erwin Schrödinger's scattering theory and Green's function techniques employed by Paul Dirac and Lev Landau. The potential explains the finite range of nuclear binding analogous to analyses in Hans Bethe's scattering matrix approach and is a prototype in textbooks by authors such as Murray Gell-Mann and Francis Low that bridge to S-matrix theory and potential models at Brookhaven National Laboratory.
Yukawa-type couplings permeate modern Particle physics: the mechanism underlies the mass generation in the Standard Model through the Higgs boson coupling to fermions, reflects effective pion-nucleon interactions in Chiral perturbation theory, and informs boson exchange pictures that predate Quantum chromodynamics. The pion-nucleon Yukawa coupling connects to analyses by Gerard 't Hooft on anomaly matching and to lattice computations performed at facilities like Riken and Fermilab. Extensions of Yukawa interactions appear in models developed at SLAC National Accelerator Laboratory and DESY, and in beyond-Standard-Model proposals discussed at conferences like Moriond and ICHEP.
In Nuclear physics the Yukawa interaction models nucleon-nucleon forces within shell-model calculations at institutions such as Argonne National Laboratory and Los Alamos National Laboratory. Pion-mediated Yukawa forces are implemented in potential models used by researchers at Oak Ridge National Laboratory and in analyses of nuclear matter in Princeton University collaborations. Analogues appear in Condensed matter physics where scalar-mediated interactions are employed to model quasiparticle coupling in superconductors studied at Bell Labs and Cambridge University groups; similar mathematical forms arise in descriptions of phonon-mediated attraction in BCS theory developed by John Bardeen, Leon Cooper, and Robert Schrieffer.
Generalizations include pseudoscalar Yukawa couplings, vector and axial-vector exchanges that lead to the one-boson-exchange models elaborated by Ralph Machleidt and colleagues, and multi-scalar sectors in grand unified schemes at Harvard University and Princeton University. Supersymmetric models studied at Rutgers University and Caltech include Yukawa textures that address flavor hierarchies explored by Steven Weinberg and Howard Georgi. In effective field theory frameworks developed by Steven Weinberg and Howard Georgi, Yukawa interactions are organized by power counting and operator classification used across programs at SLAC and CERN.
Empirical support traces from early cosmic-ray observations by teams like Bradner et al., to photographic emulsion experiments by Cecil Powell that identified the pion consistent with Yukawa's mass scale. Subsequent scattering experiments at CERN SPS, Brookhaven National Laboratory, and Jefferson Lab measured pion-nucleon cross sections and form factors that constrain the Yukawa coupling. Precision tests of Higgs-fermion Yukawa couplings are conducted by ATLAS and CMS at the Large Hadron Collider, while lattice QCD computations at Brookhaven National Laboratory and RIKEN provide ab initio determination of effective Yukawa strengths.
Category:Quantum field theory Category:Nuclear physics Category:Particle physics