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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

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