Representations of the Poincare group for relativistic extended hadrons

Journal Article · Sun Jul 01 00:00:00 EDT 1979 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.524237· OSTI ID:6213455

Kim, Y S; Noz, M E; Oh, S H

Representations of the Poincare group are constructed from the relativistic harmonic oscillator wave functions which have been effective in describing the physics of internal quark motions in the relativistic quark model. These wave functions are solutions of the Lorentz-invariant harmonic oscillator differential equation in the ''cylindrical'' coordinate system moving with the hadronic velocity in which the time-separation variable is treated separately. This result enables us to assert that the hadronic mass spectrum is generated by the internal quark level excitation, and that the hadronic spin is due to the internal orbital angular momentum. An addendum relegated to PAPS contains discussions of detailed calculational aspects of the Lorentz transformation, and of solutions of the oscillator equation which are diagonal in the Casimir operators of the homogeneous Lorentz group. It is shown there that the representation of the homogeneous Lorentz group consists of solutions of the oscillator partial differential equation in a ''spherical'' coordinate system in which the Lorentz-invariant Minkowskian distance between the constituent quarks is the radial variable.

• Research Organization: Center for Theoretical Physics, Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742
• OSTI ID: 6213455
• Journal Information: J. Math. Phys. (N.Y.); (United States), Vol. 20:7
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EXTENDED PARTICLE MODEL
MASS FORMULAE
POINCARE GROUPS
HADRONS
CASIMIR OPERATORS
QUARK MODEL
HARMONIC POTENTIAL
LORENTZ INVARIANCE
SPACE-TIME
SPIN
WAVE FUNCTIONS
ANGULAR MOMENTUM
COMPOSITE MODELS
ELEMENTARY PARTICLES
FUNCTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR POTENTIAL
PARTICLE MODELS
PARTICLE PROPERTIES
POTENTIALS
SYMMETRY GROUPS
645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties