On the isotopic spin of elementary particles

Václav Votruba; Miloš Lokajíček

doi:10.1007/bf01687971

On the isotopic spin of elementary particles

Czechoslovak Journal of Physics ◽

10.1007/bf01687971 ◽

1953 ◽

Vol 2 (1) ◽

pp. 1-10 ◽

Cited By ~ 6

Author(s):

Václav Votruba ◽

Miloš Lokajíček

Keyword(s):

Elementary Particles ◽

Isotopic Spin

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New isotopic spin space and classification of elementary particles

Il Nuovo Cimento ◽

10.1007/bf02725934 ◽

1960 ◽

Vol 18 (2) ◽

pp. 209-228 ◽

Cited By ~ 3

Author(s):

P. Hillion ◽

J. P. Vigier

Keyword(s):

Elementary Particles ◽

Isotopic Spin ◽

Spin Space

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THE ELEMENTARY PARTICLES AS QUANTUM KNOTS IN ELECTROWEAK THEORY

International Journal of Modern Physics A ◽

10.1142/s0217751x0703707x ◽

2007 ◽

Vol 22 (24) ◽

pp. 4467-4480 ◽

Cited By ~ 10

Author(s):

ROBERT J. FINKELSTEIN

Keyword(s):

Elementary Particles ◽

Irreducible Representations ◽

Isotopic Spin ◽

Electroweak Theory ◽

Gauge Bosons ◽

Quantum Numbers ◽

Spin Quantum ◽

Electroweak Physics

We explore a knot model of the elementary particles that is compatible with electroweak physics. The knots are quantized and their kinematic states are labeled by [Formula: see text], irreducible representations of SU q(2), where j = N/2, m = w/2, m′ = (r+1)/2 and (N, w, r) designate respectively the number of crossings, the writhe, and the rotation of the knot. The knot quantum numbers (N, w, r) are related to the standard isotopic spin quantum numbers (t, t3, t0) by (t = N/6, t3 = -w/6, t0 = -(r+1)/6), where t0 is the hypercharge. In this model the elementary fermions are low lying states of the quantum trefoil (N = 3) and the gauge bosons are ditrefoils (N = 6). The fermionic knots interact by the emission and absorption of bosonic knots.

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