ON ISOBARIC SPIN SPACE

Journal Article · Thu Aug 01 04:00:00 EDT 1963 · Nuclear Physics (Netherlands) Divided into Nucl. Phys. A and Nucl. Phys. B

DOI:https://doi.org/10.1016/0029-5582(63)90837-X· OSTI ID:4648694

Froehlich, H

A previously proposed treatment of reflexions as special cases of continuous transformations is developed in detail by a method based on the introduction of 3-dimensional structures (triads). The requirement of Lorentz invariance of the definitions of an unreflected and a fully reflected state of a triad can be fulfilled only if from a relativistic point of view a triad has axial symmetry only. Rotations roumd the symmetry axis are Lorentz invariant processes. The development of the formalism leads to the introduction of a 4- dimensional space with (nearly) Euclidean properties. All its operations find interpretations in terms of local structures in physical space. Lorentz invariant operators are found that have exactly the properties of isospin operators and thus lead to an interpretation of isospace. One of its main characteristics is its axial symmetry which can be extended to spherical symmetry in a limited way only. The well known cases arise; they have only one common Lorentz invariant operator, corresponding to the electric charge operator. (auth)

• Research Organization: Univ. of Liverpool
• NSA Number: NSA-17-040233
• OSTI ID: 4648694
• Journal Information: Nuclear Physics (Netherlands) Divided into Nucl. Phys. A and Nucl. Phys. B, Journal Name: Nuclear Physics (Netherlands) Divided into Nucl. Phys. A and Nucl. Phys. B Vol. Vol: 45; ISSN NUPHA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

CONFIGURATION
ELECTRIC CHARGES
GROUP THEORY
INVARIANCE PRINCIPLE
LORENTZ TRANSFORMATIONS
PARTICLE MODELS
PHYSICS
REFLECTION
RELATIVITY THEORY
ROTATION
SPIN
SYMMETRY