SU 6W-Breaking pattern implied by the transformation from constituent to current quarks

Abstract

The undeniable success of S U e (1), at least as a classification group, led people to t ry to under s t and i t in a more consis tent f ramework . The r emarkab le success of the Adle r -Weisberger sum rule (3), ob ta ined s ta r t ing f rom the SUa• ehira l -a lgebra c o m m u t a t i o n relat ions, gave an i m p o r t a n t h in t in this di rect ion. I t was, in fact , soon clear t h a t the col l inear subalgebra of SU6 spanned by A ( t i ( 1 =~a~)/4) is ma thema t i ca l l y i somorphic to the ehira l a lgebra descr ibed by (Q~ :~ ~ Q~ Q5)/2, where and Q5 are the vec to r and axia l weak charges, and t h a t in t he (~ p ~ = ~ ~) f r ame an ident i f ica t ion of the two algebras is consis tent w i th Loren tz invaxianee (3). Never theless , a g lance a t t he way the Adler -Weisberger sum rule is s a tu ra t ed and a compar i son of t he pred ic ted va lue of -G .~ /Gr= ~ , w i t h the expe r imen ta l one _ ~ shows t h a t t he two SUn • SU3 algebras cannot be ident i f ied in Nature . This resul t led to t he in t roduc t ion of several mix ing schemes (4) wi th in a finite set of states, all w i th the common fea ture of lower ing the va lue of --G,~/G~, to i ts expe r imen ta l va lue and