Slides 2 - Nanyang Technological University
Slides 2 - Nanyang Technological University
Slides 2 - Nanyang Technological University
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• For neutrinos weak eigenstates may be different from mass<br />
eigenstates.<br />
• In a weak decay one produces a definite weak eigenstate<br />
• Then at a later time t<br />
Neutrino Oscillations<br />
n n<br />
cos<br />
n<br />
sin<br />
n<br />
e<br />
m<br />
1<br />
n<br />
sin<br />
n<br />
cos<br />
<br />
iE1t<br />
iE2t<br />
n( t)<br />
n e cos<br />
n<br />
e sin<br />
E<br />
1<br />
P(<br />
n<br />
n<br />
; t)<br />
sin<br />
2<br />
e<br />
E<br />
e<br />
1<br />
<br />
f<br />
m<br />
f<br />
2<br />
2<br />
m<br />
2E<br />
2<br />
1<br />
P(<br />
n n<br />
; L)<br />
sin<br />
2<br />
2<br />
2<br />
2<br />
sin<br />
<br />
m<br />
2E<br />
2<br />
2<br />
2<br />
[<br />
sin<br />
1<br />
2<br />
2<br />
1<br />
( E<br />
2<br />
2<br />
E<br />
1.<br />
27m<br />
E<br />
1<br />
2<br />
2<br />
) t]<br />
L<br />
e<br />
e<br />
n ( 0)<br />
n<br />
e<br />
C ( t)<br />
n C(<br />
t)<br />
n<br />
f<br />
17<br />
f