Лекции по основам кинематики элементарных процессов. Строковский Е.А. - 80 стр.

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m
p
m
n
P
p
=(E
p
, q)
E
p
=
m
2
p
+ q
2
m
2
p
+ q
2
q ≡| q |
2
m
p
P
n
=(M
d
E
p
, q)
(P
p
+ P
n
)
2
= M
2
d
M
d
ε
p
=
M
2
d
+ m
2
p
(M
d
E
p
)
2
q
2
2M
d
= E
p
,
ε
n
=
M
2
d
+
(M
d
E
p
)
2
q
2
m
2
p
2M
d
= M
d
E
p
,
q
cm
=
ε
2
p
m
2
p
1/2
)=q,
u
p
=(E
p
/m
p
, q/m
p
)
E
rel
n
=(P
n
· u
p
) , q
rel
n
= p
n
u
p
·
E
n
+ E
rel
n
1+u
0
p
.
P
rel
n
=
M
d
m
p
E
p
m
p
, q
M
d
m
p
.
   .  1         /  9 
  2  BA0 2         1
  1 2  5   N ”1   ”
   1  2   1        
1     F   1 0     1 1 
1   G > 2            1   C  
     0        1      /
0  0   mp  mn 0     C  
   7   
    
        1    B1  1    Pp = (Ep , q)0
Ep = m2p + q2 ≡ m2p + q 2 0 2 q ≡| q |2  mp N  1 
I2  B1    0   0 Pn = (Md − Ep , − q)0 7 
      F  Z1 G   (Pp + Pn )2 = Md2 0 2
Md N   
    2  0 7 2 1          
     1    F 1  6 G?
                                               
                                         2
                   Md2 + m2p − (Md − Ep ) − q 2
            εp =                                            = Ep ,
                                       2Md
                                     
                                2
                Md2 + (Md − Ep ) − q 2 − m2p
         εn =                                           = Md − Ep ,
                                   2Md
                                   2         1/2
                           qcm   = εp − m2p         )=q ,
   0       F  Z1 G     
1     1  
       1     1       7 2 C
        F1 Z  G0     1
   0 1      1 1 
   B  7     0   0 up = (Ep /mp , q/mp)O 
2  1   1   1  F   1  6/
  G?
                                                      En + Enrel
       Enrel = (Pn · up ) , qrel
                             n = pn − up ·
                                                       1 + u0p
                                                                 .    FB"!G
   .   C/  0 2 1  ?
                                                           
                   Pnrel   =
                                   Md
                                   mp
                                      Ep − mp , − q
                                                    Md
                                                    mp
                                                                .     FB""G
                                         ,!