University of Illinois Urbana-Champaign

Some results of the algebra of currents in weak interactions. Part I: The decays K -> 2pi and K -> 2 pi gamma; Part II: Relation between vector and axial-vector cabibbo angles in broken SU(3) symmetry

Nasrallah, Nasrallah Fares

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Description

Title
Some results of the algebra of currents in weak interactions. Part I: The decays K -> 2pi and K -> 2 pi gamma; Part II: Relation between vector and axial-vector cabibbo angles in broken SU(3) symmetry
Author(s)
Nasrallah, Nasrallah Fares
Issue Date
1968
Doctoral Committee Chair(s)
Schult, R.L.
Department of Study
Physics
Discipline
Physics
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
  • algebra of currents
  • weak interactions
  • meson decay
  • cabibbo angles
  • broken SU(3) symmetry
Language
en
Abstract
Part I We study the decays K+ -> pi+pio and Ko -> 2pi using the algebra of currents, We show that the decay K+ -> pi+pio is not due to the violation of the selection rule AI = 1/2 caused by the electromagnetic mass .difference [equation] as has been conjectured by some authors but has to be aqcounted for by the I = 3/2 part of the weak Hamiltonian. We also look for effects of CP violation in differences of the decay rates [equation] and [equation] in the theory of Nishijima and Swank and find no evidence for these differences using different from zero. Part 2 We calculate the renormalization of the weak axial-vector coupling constant in the decay [equation] on the basis of the assumption that the symmetry breaking is unimportant at nigh energies. We use the result to show that the equality between vector and axial-vector Cabibbo angle, which is expected to hold in the limit of exact SU(3) symmetry, is preserved by the symmetry breaking
Type of Resource
text
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http://hdl.handle.net/2142/25726
Copyright and License Information
1968 Nasrallah Fares Nasrallah

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