introduction-weak-interaction-volume-one
introduction-weak-interaction-volume-one
introduction-weak-interaction-volume-one
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
measuring the value of the coefficient a (3 .5 .13c) for pure decays . In a<br />
pure Fermi decay ,<br />
a = (I GV I 2 - jGSl2)/(IGVl2 + 1GSI2)<br />
(3 . 6 .3a )<br />
where<br />
IGil2 = 4(Gil2 +<br />
Experiments yield (42 )<br />
ICl2) .<br />
(3 .6 .3b )<br />
a = 0 .97 ± 0 .14 ,<br />
(3 .6 .3c)<br />
definitely favouring a vector coupling. Experiments on the pure Camow -<br />
Teller proces s<br />
6 He > 6 Li e + v (3 .6 .4a )<br />
imply (42, 43 )<br />
a (IGT l 2 - I GA I 2 )/3(IG T I 2 I CA l 2 )<br />
_ - 0 .3343 t 0 .0030 , (3 .6 .4b )<br />
suggesting an axial vector <strong>interaction</strong> in Gamow-Teller transitions . For some<br />
years,<br />
6 He e-v angular correlation experiments tended to favour the S T<br />
combination, but a critical analysis of these results (44) demonstrate d<br />
that the experiments were, in fact, inconclusive .<br />
There have been basically three attempts to predict the V- A<br />
structure of the <strong>weak</strong> <strong>interaction</strong> theoretically (45) . The first method<br />
was suggested by Marshak and Sudarshan (46) in 1958 . We define the so-calle d<br />
'chirality' transformatio n<br />
V( x) ----> y(x) = Y 5 45(x) . (3 .6 .5 )<br />
However, the Dirac equation yield s<br />
Y r ( a /axr)lf = - mil, (3.6 .6 )<br />
and thus we obtain<br />
Yr ( a / 3xr) (T 5 4r)<br />
-Y5 (r r ( a / axr)V) = m (Y 5v )<br />
(3.6 .7 )<br />
Combining the equations (4 .6 .6) and (4 .6 .7) we may now writ e<br />
rr (a /d xr ) Vt = m i~1 3 (3 .6 .8a )<br />
where