Abstract

An assumption that all the six flavour quarks are attributed to be the components of a same, a common isospin multiplets space named STS is proposed. Base on Pauli Exclusion Principle, every quark is assigned to different flavour marks in STS. Every flavour quark possesses its own colour spectral line array specially appointed. The collection of colour spectral line arrays of the six flavour quarks constructs together the CSDF, Colour Spectrum Diagram of Flavour, further baryons and mesons could be constructed from CSDF. STS, Spin Topological Space is a math frame with infinite dimensional matrix representation for spin angular momentum. Flavours is an isospin angular momentum coupling phenomena of the three-colour-quarks.

Highlights

  • In isotopic spin space of Standard Model, SM, Gell-Mann M [1] and Zweig G [2], the isospin quantum number I and the third component I3, for flavour quarks u, d are 1/2, +1/2 and 1/2, −1/2 respectively, for flavour quarks s, c,b,t are 0, 0. u ( I3 = +1 2 ) and d ( I3 = −1 2 ) quarks are assigned to an isodoublet with I = 1 2, the dimension of matrix representation of the isodoublet is equal to 2 ×1 2 +1 =2

  • The collection of colour spectral line arrays of the six flavour quarks constructs together the CSDF, Colour Spectrum Diagram of Flavour, further baryons and mesons could be constructed from CSDF

  • (Table 2), quark could even possess colour quantum number array that called as Colour Spectral Line Array labelled by qRGB (20), which is an array comprised of three colour quantum numbers, marked qR, qG and qB, they are third-fractions

Read more

Summary

Introduction

This matrix representation is an analogy with ordinary angular momentum σ 2 , σ is Pauli matrix. The remaining four flavour quarks s ( I3 = 0) , c ( I3 = 0) , b ( I3 = 0) , t ( I3 = 0) are assigned to four isosinglets with I = 0, respectively, the dimension of matrix representation of each isosinglet is equal to 2× 0 +1 =1. Π3; j,k ;r,s are Casimir operator and the third component of spin particle Π j,k;r,s in STS

Flavour Quarks in STS
Colour Quarks in STS
Hypothesis
Baryons and Mesons in STS
Conclusions

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.