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Central two-particle forces are not sufficient in relativistic Newtonian mechanics for particles with spin

Journal Article · · Phys. Rev. D; (United States)
Another step is taken in an attempt to see if there are physically interesting two-particle forces, for particles with positive mass and nonzero spin, that satisfy both the Lorentz-invariance conditions for Newtonian equations of motion for two particles and the equations that follow from the additional assumption that sums of two-particle forces satisfy the Lorentz-invariance conditions for three-particle systems. It is shown that when each two-particle force is central in the rest frame of the source particle, there are no solutions that give nonzero accelerations for both particles in a two-particle system; then a particle can be accelerated only by forces from particles that do not accelerate. Thus for central two-particle forces for particles with spin, the situation is the same as for any two-particle forces for particles with no spin; many particle forces are needed.
Research Organization:
Physics Department, University of Minnesota, Duluth, Minnesota 55812
OSTI ID:
5986686
Journal Information:
Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 31:2; ISSN PRVDA
Country of Publication:
United States
Language:
English

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Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
CLASSICAL MECHANICS
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FIELD THEORIES
GENERAL RELATIVITY THEORY
INTERACTIONS
INVARIANCE PRINCIPLES
LORENTZ INVARIANCE
MANY-BODY PROBLEM
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
RELATIVITY THEORY
SPIN
TWO-BODY PROBLEM