Get Elementary Particles And Their Currents PDF

By Jeremy Bernstein

ISBN-10: 0716703246

ISBN-13: 9780716703242

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I t cannot d e c a y i n t o t w o n e u t r a l p i o n s , since these m u s t a l w a y s h a v e e v e n r e l a t i v e a n g u l a r m o m e n t u m as t h e y a r e i d e n t i c a l B o s e - E i n s t e i n p a r t i c l e s . T h e a n a l y s i s o f t h e s p i n a n d p a r i t y is c o n s i d e r a b l y m o r e c o m p h c a t e d a n d f a l l s o u t s i d e t h e scope o f t h i s book;« h o w e v e r , i t t o o is k n o w n t o b e a 1 " p a r t i c l e . I t has b e e n speculated^" 8.

AP=1. 73) ^^^^ M+W = 1. or s p i n - z e r o case, w e c o m p l e t e t h e a r g u m e n t b y l e t t i n g r — > F o r the current this c o n d i t i o n yields A sin the r i n t h e integral. ,,J^(0)|-p),,. 75) T h u s t h e state | p ) s d o e s n o t h a v e a d e f i n i t e p a r i t y u n l e s s p = 0 , i n w h i c h case p a r i t y e i g e n v a l u e is 7 ; ^ * , w h i c h w e c a n a l w a y s c h o o s e t o be r e a l a n d e q u a l t o ± 1 . 68) T h u s t h e m i n u s sign i n f r o n t o f F^ reflects t h e a n t i c o m m u t i v i t y o f y a n d 74.

I f a a n d b have t h e same parities, this c o n d i t i o n is automatically fulfilled; i f they have opposite parities, the m a t r i x element m u s t vanish. W e w i l l m a k e use o f t h e s e c o n d i t i o n s , a n d s i m i l a r ones, e x t e n s i v e l y w h e n w e discuss t h e w e a k interactions. T h e time-reversal c o n d i t i o n is considerably m o r e complicated. 38) is n o t i n v a r i a n t u n d e r t —>- — /, w h i c h w e m i g h t , n a i v e l y , b e l i e v e i s t h e o p e r a t i o n o f t i m e reversal.

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Elementary Particles And Their Currents by Jeremy Bernstein


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