Abstract
Methods of calculation with nonlinear functions of quantized boson fields are developed during the discussion of two problems involving multiple boson processes. In the first of these a simple treatment is given of the multiple radiation of photons by classical current distributions, a special case of which, in effect, is the infrared catastrophe. In the second illustration, generalizations of the scalar and pseudoscalar meson theories are considered in which the interaction hamiltonian depends exponentially on the meson field. In the pseudoscalar case such hamiltonians are closely related to the familiar form of pseudovector coupling. Assuming the over-all coupling of the nucleon and meson fields to be weak, calculations are made of the nuclear forces, and of the multiple production of mesons in meson-nucleon and in nucleon-nucleon collisions. In the latter events statistical independence of meson emissions is found to prevail.
Keywords
PhysicsPseudoscalarMesonNucleonBosonParticle physicsScalar mesonPseudovectorHamiltonian (control theory)Vector mesonPhotonScalar (mathematics)Pseudoscalar mesonVector bosonQuantum electrodynamicsNuclear physicsQuantum mechanics
Affiliated Institutions
Related Publications
Uniqueness of Spontaneously Broken Gauge Theories
We have made a systematic search for theories of interacting heavy vector mesons which have unitarily bound trees. In simple cases (four vector mesons and one scalar particle) t...
Precise Relations between the Spectra of Vector and Axial-Vector Mesons
Two sum rules are derived, relating moments of the spectral functions of the vector and axial-vector currents. If it is assumed that the $\ensuremath{\rho}$ and $A1$ mesons domi...
Spontaneous Symmetry Breakdown without Massless Bosons
We examine a simple relativistic theory of two scalar fields, first discussed by Goldstone, in which as a result of spontaneous breakdown of $U(1)$ symmetry one of the scalar bo...
Sum Rules for the Spectral Functions of SU(3) ⊗ SU(3)
The spectral-function sum rules are given for a general Lie algebra, and then applied to the vector and axial-vector mesons coupled to the currents of SU(3) ⊗ SU(3).Received 15 ...
Penetration of Protons, Alpha Particles, and Mesons
The theory of energy loss, the mean excitation energy, inner shell corrections, energy straggling, multiple scattering effects, and phenomena associated with particle tracks are...
Publication Info
- Year
- 1951
- Type
- article
- Volume
- 84
- Issue
- 3
- Pages
- 395-400
- Citations
- 165
- Access
- Closed
External Links
Social Impact
Altmetric
PlumX Metrics
Social media, news, blog, policy document mentions
Citation Metrics
165
OpenAlex
Cite This
Roy J. Glauber
(1951).
Some Notes on Multiple-Boson Processes.
Physical Review
, 84
(3)
, 395-400.
https://doi.org/10.1103/physrev.84.395
Identifiers
- DOI
- 10.1103/physrev.84.395