Лекции по основам кинематики элементарных процессов. Строковский Е.А. - 93 стр.

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x
F
x
F
1
η
long
η
max
long
η
long
η
max
long
=
1
2
ln
E
max
c
p
max
c
E
max
c
+ p
max
c
·
E
c
+ p
c
E
c
p
c
=
=
1
2
ln
E
max
c
p
max
c
E
c
p
c
·
E
c
+ p
c
E
max
c
+ p
max
c
.
E
c
m
c
η
long
η
max
long
1
2
ln
E
max
c
p
max
c
E
c
p
c
·
2p
c
2p
max
c
,
E
max
c
p
max
c
p
max
c
1+
m
2
c
2(p
max
c
)
2
p
max
c
=
=
m
2
c
2(p
max
c
)
2
,
E
c
p
c
p
c
1+
m
2
c
2(p
c
)
2
p
c
=
m
2
c
2(p
c
)
2
,
| x
F
|≈ 1 p
c
p
c
η
long
η
max
long
ln
p
c
p
max
c
=ln(| x
F
|) ,
x
F
exp
η
long
η
max
long
,x
F
> 0 ,
x
F
≈−exp
| η
long
|−η
max
long
,x
F
< 0 .
         / 2 C 1  1    xF 
   2             0   C 
  /         2 xF ≈ 1 
 ∗
ηlong    ∗ max
      ≈ ηlong  ?
                                      ∗ max                         
      ∗                  ∗ max   1     Ec      − pc∗max Ec∗ + pc∗
     ηlong     −        ηlong  = ln                       ·            =
                                 2     Ec∗ max + pc∗max Ec∗ − pc∗
                              ∗ max                               
                        1     Ec     − pc∗max       Ec∗ + pc∗
               =
                        2
                          ln
                                 Ec∗ − pc∗
                                               · ∗ max
                                                Ec       + pc∗max
                                                                     .                     F-",G
   .   7  1     1 5    
 / 7 2 0  1  0 1    12/ 1 
     C   50 C    Ec∗  mc
>  1  1       / 1   . 7 
1 C  0  F-",G  
                                         ∗ max                       
       ∗           ∗ max          1      Ec     − pc∗max      2pc∗
      ηlong   −   ηlong         ≈    ln                     · ∗ max ,
                                  2         Ec∗ − pc∗       2pc 
                                                            
                                                    m2c
    Ec∗ max − pc∗max           ≈ pc∗max 1 +      ∗           − pc∗max =
                                                2(pc max )2
                                        m2c
                                =      ∗
                                    2(pc max )2
                                                     ,                                     F-"*G
                                                             
                                                    m2c                        m2c
              Ec∗   −   pc∗    ≈   pc∗       1+                 − pc∗ =             ,
                                                  2(pc∗ )2                  2(pc∗ )2

1    2 | xF |≈ 1 1 1    1  pc∗⊥
2  9 1  2 pc∗ 
        0 1/   
                                                 
                                          pc∗ 
               ∗
              ηlong    ∗ max
                    − ηlong         ≈ ln  ∗ max  = ln (| xF |) ,
                                          pc 
                                                                                           F- !G
 5              1     QBR
                                    ∗       ∗ max
              xF        ≈      exp ηlong − ηlong    , xF > 0 ,
                                      ∗
              xF        ≈                        ∗ max
                               − exp | ηlong | −ηlong   , xF < 0 .                         F- "G

                                                *A