WAVE EQUATIONS FOR MULTIPLETS OF FREE FERMIONS

Journal Article · Thu Jan 01 04:00:00 EST 1959 · Trudy Inst. Fiz. i Astron. Akad. Nauk Eston. S.S.R.

OSTI ID:4179972

Yiglane, Kh

A wave equation is derived for a free nucleon and XI hyperon. It proves that the kind of the particle is generally characterized by two quantum numbers---by the third isospin component t/sub 3/ and by the third isomomentum component nu /sub 3/. The nucleon and XI -hyperon form a doublet with respect as to t/sub 3/ as nu /sub 3/. An equation is derived for the free SIGMA - hyperon. It forms a triplet with respect to t/sub 3/, but a singlet with respect to nu /sub 3/. An equation is derived for LAMBDA hyperons. LAMBDA -particles form a singlet with respect to t/sub 3/, but as to nu /sub 3/---a triplet. The charged LAMBDA -particles are identified with Z/sup +/ and OMEGA --hyperons predicted by Gell-Mann. All baryons are characterized by the quantum numbers t/ sub 3/ and nu /sub 3/. There are found three linearly independent expressions for the charge operators of baryons. The baryonic charge operator and the electric charge operator are given. For the specification of the third charge operator the sufficient facts are lacking. Notions of isospin and isomomentum are extended to leptons. The quantum num- bers t/sub 3/ and nu /sub 3/ characterizing leptons are given. The equation describing the electron and the neutrino is given with specified constants. The equation for the mu -meson is given with specified constants. In this case the neutral mu -meson has the zero rest-mass. In spite of the complexity of the system of quantum numbers t/sub 3/ and nu /sub 3/, there exist actually only 3 kinds of respective particles--the electron, mu meson, and the neutral particle with zero mass. The last may be in states with t/sub 3/ = 0, plus or minus 1/2 and nu /sub 3/ = 0, plus or minus 1/2. (auth)

• Research Organization: Originating Research Org. not identified
• NSA Number: NSA-14-017327
• OSTI ID: 4179972
• Journal Information: Trudy Inst. Fiz. i Astron. Akad. Nauk Eston. S.S.R., Journal Name: Trudy Inst. Fiz. i Astron. Akad. Nauk Eston. S.S.R. Vol. Vol: No. 9
• Country of Publication: Country unknown/Code not available
• Language: Russian

Related Subjects

BARYONS
ELECTRIC CHARGES
ELECTRONS
EQUATIONS
FERMIONS
HYPERONS
ISOSPIN
LAMBDA PARTICLES
LEPTONS
MASS
MUONS
NEUTRINOS
NUCLEONS
OMEGA RESONANCES
OMEGA-MINUS
PARTICLE MODELS
PHYSICS
QUANTUM MECHANICS
SIGMA PARTICLES
WAVE MECHANICS
XI PARTICLES