Relativity and spin in one-, two-, and three-body systems

Journal Article · Thu Aug 01 04:00:00 EDT 1985 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.32.502· OSTI ID:5512045

Giebink, D R

The method used to define relativistic one-, two-, and three-particle states with spin in the z basis and the helicity basis is described, and the Lorentz transformation and improper transformation properties of these states are discussed. The three-body states are used to construct a relativistic, three-body, angular-momentum recoupling coefficient. A detailed derivation of this recoupling coefficient in both the z basis (LS coupling scheme) and the helicity basis is presented, and an expression for the nonrelativistic limit of this recoupling coefficient (i.e., neglecting Wigner spin precession) is given. Uses of these states in relativistic potential theory and optical model problems is also discussed.

• Research Organization: Department of Physics, Texas AandM University, College Station, Texas 77843
• OSTI ID: 5512045
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 32:2; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

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653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
COUPLING
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EQUATIONS
EQUATIONS OF MOTION
FIELD THEORIES
GENERAL RELATIVITY THEORY
HELICITY
INTERMEDIATE COUPLING
L-S COUPLING
LIE GROUPS
LORENTZ TRANSFORMATIONS
MANY-BODY PROBLEM
OPTICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
POTENTIALS
RELATIVITY THEORY
SPIN
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
THREE-BODY PROBLEM
TRANSFORMATIONS
TWO-BODY PROBLEM
WAVE EQUATIONS