New isotopic spin space and classification of elementary particles

Journal Article · Thu Sep 01 04:00:00 EDT 1960 · Nuovo Cimento

DOI:https://doi.org/10.1007/BF02725934· OSTI ID:4121700

Hillion, P.; Vigier, J. P.

Beginning with the idea that isotopic spin space is invariant under the group of three-dimensional complex conjugate rotations, this assumption is justified on the basis of a classical model of extended particles described by relativistic rotators. Expressions are given in terms of Euler parameters (a relativistic generalization of real three-dimensional Euler angles) for the infinitesimal operators of the Lie algebra associated with this group and, in the general space of the corresponding eigenfunctions, finite dimensional sub-spaces associated with irreducible representations of the complex rotation group are obtained. In each subspace one then readily defines a set of "isotopic" or "internal state vectors" correspending to different types of elementary particles so that each particle family is connected with an irreducible representntion of this group. In this scheme isotopic strangeness and fermionic numbers correspond to certain infinitesimal rotation operators and one justifies (with qualitative aspects) the empirical Nishijima- Gell-Mann classification of elementary particles.

• Research Organization: Institut H enri Poincare, Paris
• Sponsoring Organization: USDOE
• NSA Number: NSA-15-006644
• OSTI ID: 4121700
• Journal Information: Nuovo Cimento, Journal Name: Nuovo Cimento Journal Issue: 2 Vol. 18; ISSN 0029-6341
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
FIELD THEORY
GROUP THEORY
INVARIANCE PRINCIPLE
ISOSPIN
LIE GROUPS
MATHEMATICS
MATRICES
PARTICLE MODELS
PHYSICS
QUANTUM MECHANICS
RELATIVITY THEORY
ROTATION
SPIN
VECTORS