Лекции по основам кинематики элементарных процессов. Строковский Е.А. - 237 стр.

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l Y
r(l, p) 1
l = r
y
(β) p =(p, θ, 0) p
=(p, θ β,0)
|p>→|p
> .
p
|p> exp
ˆ
J · p/|p|
|p>= e
iαλ
|p> .
A + B ... + K + ...
B
m
φ =0 XZ
p =(p, θ, 0),E ; p
L
=(p
L
L
, 0),E
L
.
h (p)=r
y
(θ)l
z
(v); h (p
L
)=r
y
(θ
L
)l
z
(v
L
) ,
v v
L
Z
S S
L
S
Z β
CM
β
CM
S l
1
z
(β
CM
) S
L
l l = l
1
z
(β
CM
)
p
p
L
r(l, p) r
l
1
z
(β
CM
), p
ω
r(ω)=h
1
(p
L
) l
z
(β
CM
)h (p) .
   0       ”D !    ”3
/  9 ;     71     0 
2  l   1  6      Y 0     C
/ C 1 0   7    r(l, p) ≡ 10    
2 ”2   1   1  ”   I 0  
l = ry (β)0 p = (p, θ, 0)  p = (p, θ − β, 0)0 
                              |p, λ >→ |p , λ > .                  F"-B+G
     0 2  p 1  1  6 0   1 
      F"-B+G C  
                                     
       |p, λ >→ exp −iαĴ · p/|p| |p, λ >= e−iαλ |p, λ > .          F"-B,G
$    %     & 0
; >     1      C .
   ? A + B → ... + K + ...    ”  ”
  F G 0   B 1  %     C 0  
1            FG 1 
  2 2
     H 0  1  0    m0 C 5 
1    2 φ = 00   1   XZ 0    
1   7 2     0   0
                  p = (p, θ, 0), E ; pL = (pL , θL , 0), EL .       F"-B*G
; F"-A-G 2   ?
            h (p) = ry (θ)lz (v) ; h (pL ) = ry (θL )lz (vL ) ,     F"--!G
2 v  vL            
     8 Z  2      1   2 1 N
 0    .7  1      
   S    SL    ” ” S    
     2 1   Z   5 βCM 0 2 βCM   
           ;   0  
         S 1   lz−1(βCM )0   1   SL 
     .     l F"-BBG0         −1   l =lz (βCM )0  
                                                                −1

p ≡ pL  1  6  r(l, p) ≡ r lz (βCM ), p C / 
  

       1  N   2  ω F2  G
     ; 0   
                      r(ω) = h−1 (pL ) lz (βCM )h (p) .             F"--"G
                                    A+