ARTICLE 13: trusciencetrutechnology@blogspot.com 70th B’Day Volume 2009-2010 of Professor Kotcherlakota Lakshmi Narayana ,(retd.Prof of Physics, SU), 17-11-10,Narasimha Ashram, Official Colony, Maharanipeta.P.O.,Visakhaptnam
Prof. Dr. K L Narayana M. Inst. P (Lond) & Miss S. P. Shahane
SU(8) Unitary Symmetry with Bosonic and Fermionic Quarks and Lie Algebra
Keywords: Unitary symmetry, Quarks, Lie Algebra, resonances
The results of investigations made on SU(8) Unitary symmetry involving both the fermions and the Bosons has been succinctly applied for enunciating a classification of certain elementary particles and is incorporated in the dissertation submitted by Miss S. P. Shahane for the degree of M.Sc. by Shivaji University, Kolhapur on the 12th May 1979. This work has offered the possible consideration of an elementary particle as a combination of a particle and a current. This has been termed as the second feature of the SU (8) unitary symmetry model. A third feature of the model is to formulate, instead of just the direct product of the quark SU(8) vector with its antisymmetric vector, the said direct incorporating in between them interaction terms. This has readily facilitated to account for the observed left and right helicity properties and the spin parity assignments of the classified elementary particles. A fourth feature of the SU (8) unitary symmetry model is that it demonstrates possible existence of a new universal weak interaction characterized by the two different angles respectively for the strangeness changing currents and the charm-changing currents. The fifth feature enunciated by the research is to classify the leptons as multiplets of a unitary symmetry. The SU (8) model ascribes lepton number as an internal space symmetry character obtainable from a suitable combination of diagonal generators of SU (8) symmetry. Thus, the theory precedes the experimental investigations in several ways.
First SU(8) basic vector has been constituted by four bosonic Spinor quarks and the remaining as fermionic Spinor quarks. The usual way of combining this vector by itsr respective antisymmetric vector elements in a direct product gave the traceless and trace-part of multiplets in the form of matrices. The diagonal elements of these matrices are numbering eight involving the SU(8) unitary symmetry matrices Viz. λ 3 , λ 8 , λ 15 , λ 24 , λ 35 , λ 48 , λ 63 , and describe the possible eight quantum numbers to classify the elementary particles.
The Table for the quantum numbers and the particle assignments etc. features of the model are explicitly presented in the scanned images of the page numbers 86-91.
REFERENCES:
M.Sc. Dissertation (submitted to Shivaji University, Kolhapur) of Miss S.P. Shahane: dated April 1979 examined on 12th May 1979.
Prof. Dr. K L Narayana M. Inst. P (Lond) & Miss S. P. Shahane
SU(8) Unitary Symmetry with Bosonic and Fermionic Quarks and Lie Algebra
Keywords: Unitary symmetry, Quarks, Lie Algebra, resonances
The results of investigations made on SU(8) Unitary symmetry involving both the fermions and the Bosons has been succinctly applied for enunciating a classification of certain elementary particles and is incorporated in the dissertation submitted by Miss S. P. Shahane for the degree of M.Sc. by Shivaji University, Kolhapur on the 12th May 1979. This work has offered the possible consideration of an elementary particle as a combination of a particle and a current. This has been termed as the second feature of the SU (8) unitary symmetry model. A third feature of the model is to formulate, instead of just the direct product of the quark SU(8) vector with its antisymmetric vector, the said direct incorporating in between them interaction terms. This has readily facilitated to account for the observed left and right helicity properties and the spin parity assignments of the classified elementary particles. A fourth feature of the SU (8) unitary symmetry model is that it demonstrates possible existence of a new universal weak interaction characterized by the two different angles respectively for the strangeness changing currents and the charm-changing currents. The fifth feature enunciated by the research is to classify the leptons as multiplets of a unitary symmetry. The SU (8) model ascribes lepton number as an internal space symmetry character obtainable from a suitable combination of diagonal generators of SU (8) symmetry. Thus, the theory precedes the experimental investigations in several ways.
First SU(8) basic vector has been constituted by four bosonic Spinor quarks and the remaining as fermionic Spinor quarks. The usual way of combining this vector by itsr respective antisymmetric vector elements in a direct product gave the traceless and trace-part of multiplets in the form of matrices. The diagonal elements of these matrices are numbering eight involving the SU(8) unitary symmetry matrices Viz. λ 3 , λ 8 , λ 15 , λ 24 , λ 35 , λ 48 , λ 63 , and describe the possible eight quantum numbers to classify the elementary particles.
The Table for the quantum numbers and the particle assignments etc. features of the model are explicitly presented in the scanned images of the page numbers 86-91.
REFERENCES:
M.Sc. Dissertation (submitted to Shivaji University, Kolhapur) of Miss S.P. Shahane: dated April 1979 examined on 12th May 1979.
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