Квантовая теория двойного и тройного деления атомных ядер. Кадменский С.Г - 43 стр.

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43
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(49) ɢ ɩɪɨɜɨɞɹ ɫɭɦɦɢɪɨɜɚɧɢɟ ɩɨ ɢɧɞɟɤɫɚɦ
E
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ɜɨɥɧɨɜɨɣ ɮɭɧɤɰɢɢ
Cor
s
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12
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11 2 2
12
11 2 2
2
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2
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33 1 2 1 1
(1)
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11
(1)
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12 11
(1)
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11
(1)
21
1
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Cor
5
2
,, , ,
sin cos
c
cl
ik
i
cl
aPll
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O
U
G
O
OH
HHU
(74)
ɝɞɟ
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ssss
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rB . Ⱦɨɛɚɜɥɹɹ ɚɫɢɦɩɬɨɬɢɱɟɫɤɭɸ ɮɭɧɤɰɢɸ
Cor
s
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JM
qK
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(74) ɤ ɧɟɜɨɡɦɭɳɟɧɧɨɣ ɚɫɢɦɩɬɨɬɢɱɟɫɤɨɣ ɮɭɧɤɰɢɢ
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ɪɚɫɫɱɢɬɵɜɚɹ ɦɧɨɝɨɦɟɪɧɭɸ ɩɥɨɬɧɨɫɬɶ ɩɨɬɨɤɚ ɱɚɫɬɢɰ ɜ ɧɚɩɪɚɜɥɟɧɢɢ
ɪɚɞɢɭɫɚ
U
ɢ ɩɪɨɜɨɞɹ ɢɧɬɟɝɪɢɪɨɜɚɧɢɟ ɩɥɨɬɧɨɫɬɢ ɩɨɬɨɤɚ ɩɨ ɩɟɪɟɦɟɧɧɵɦ
1
[
,
2
[
,
3
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ɢ
Z
, ɜɪɚɛɨɬɟ [24] ɛɵɥɚ ɩɨɥɭɱɟɧɚ ɩɨɩɪɚɜɤɚ ɩɟɪɜɨɝɨ ɩɨɪɹɞɤɚ ɩɨ
Ʉɨɪɢɨɥɢɫɨɜɭ ɜɡɚɢɦɨɞɟɣɫɬɜɢɸ ɤ ɞɢɮɮɟɪɟɧɰɢɚɥɶɧɨɦɭ ɫɟɱɟɧɢɸ ɪɟɚɤɰɢɢ
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,nf . ɗɬɚ ɩɨɩɪɚɜɤɚ ɩɪɟɞɫɬɚɜɥɹɟɬɫɹ ɬɨɣ ɠɟ ɮɨɪɦɭɥɨɣ (69) ɫ ɡɚɦɟɧɨɣ
ɜɟɥɢɱɢɧɵ
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0
,,B
H
::
Rr
ɧɚ ɜɟɥɢɱɢɧɭ
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Cor
,,B
H
::
Rr
, ɨɩɪɟɞɟɥɹɟɦɭɸ
ɮɨɪɦɭɥɨɣ (60) ɩɪɢ ɡɚɦɟɧɟ
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ss
s
sJ s J
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H
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Cor
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ss
s
sJ s J
qK
B
H
::
Rr
:
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DM r K Z Yl 0 TrR                         ɜ        ɤɚɧɚɥɨɜɨɣ                 ɮɭɧɤɰɢɢ              UDJ sS M        ɧɚ      ɮɭɧɤɰɢɢ
 J                                        l
DM r K m                  Z    Ylm : 'r D00        Z . ɉɪɢ ɩɨɞɫɬɚɧɨɜɤɟ ɩɨɥɭɱɟɧɧɨɣ ɚɦɩɥɢɬɭɞɵ
                                                                    Cor
ɩɚɪɰɢɚɥɶɧɨɣ ɲɢɪɢɧɵ §¨ * qKs D ·¸
                         J S                             J SM
                                  ɢ ɤɚɧɚɥɨɜɨɣ ɮɭɧɤɰɢɢ UD s    ɜ
                     ©      s ¹

ɮɨɪɦɭɥɭ (49) ɢ ɩɪɨɜɨɞɹ ɫɭɦɦɢɪɨɜɚɧɢɟ ɩɨ ɢɧɞɟɤɫɚɦ E , m ɚɫɢɦɬɨɬɢɤɭ
                                           J S M Cor
ɜɨɥɧɨɜɨɣ ɮɭɧɤɰɢɢ < qKs                                        ɦɨɠɧɨ ɩɪɟɞɫɬɚɜɢɬɶ ɤɚɤ
                                               s

     J S M Cor                      2J s  1 =2
  < qKs                                          ¦ G K , K  K *qK s c D00l Z                                l l  1 FLm :'R u
               s     as             16S 2 2 J 0 clLO s 1 2

                    ^
u< 3 [3 FVS1K [1 FVS 2K [ 2 DMs ( K
                            1 1            2 2
                                                                J
                                                                        s 1)
                                                                                Z Yl1 :r' b1 
      J
  DMs ( K                 Z Yl 1 :r' b1 
                   s 1)
                                                   J s  Ks
  F S1             [1 F S 2                                        J
                                        [ 2 1                 DMs(  K               Z Yl1 :r' b1 
    V1K1                       V 2 K2                                        s 1)

                                                                                                    eikc U
      J
  DMs(  K
                    s 1)                           `
                               Z Yl 1 :r' b1 eiG clO aclCor
                                                              Cor
                                                          O P l, l, O,H
                                                                                              sinH cosH U
                                                                                                              5
                                                                                                                  2
                                                                                                                      ,

                                                                                                                                 (74)
ɝɞɟ br1                     Js B Ks       J s r K s  1 . Ⱦɨɛɚɜɥɹɹ ɚɫɢɦɩɬɨɬɢɱɟɫɤɭɸ ɮɭɧɤɰɢɸ
   J S M Cor                                                                                                              J SM
 < qKs                      (74) ɤ ɧɟɜɨɡɦɭɳɟɧɧɨɣ ɚɫɢɦɩɬɨɬɢɱɟɫɤɨɣ ɮɭɧɤɰɢɢ < qKs                                                         ,
           s                                                                                                                s     as
ɪɚɫɫɱɢɬɵɜɚɹ ɦɧɨɝɨɦɟɪɧɭɸ ɩɥɨɬɧɨɫɬɶ ɩɨɬɨɤɚ ɱɚɫɬɢɰ ɜ ɧɚɩɪɚɜɥɟɧɢɢ
ɪɚɞɢɭɫɚ U ɢ ɩɪɨɜɨɞɹ ɢɧɬɟɝɪɢɪɨɜɚɧɢɟ ɩɥɨɬɧɨɫɬɢ ɩɨɬɨɤɚ ɩɨ ɩɟɪɟɦɟɧɧɵɦ [1 ,
[ 2 , [3 ɢ Z , ɜ ɪɚɛɨɬɟ [24] ɛɵɥɚ ɩɨɥɭɱɟɧɚ ɩɨɩɪɚɜɤɚ ɩɟɪɜɨɝɨ ɩɨɪɹɞɤɚ ɩɨ
Ʉɨɪɢɨɥɢɫɨɜɭ ɜɡɚɢɦɨɞɟɣɫɬɜɢɸ ɤ ɞɢɮɮɟɪɟɧɰɢɚɥɶɧɨɦɭ ɫɟɱɟɧɢɸ ɪɟɚɤɰɢɢ
 n, f . ɗɬɚ ɩɨɩɪɚɜɤɚ ɩɪɟɞɫɬɚɜɥɹɟɬɫɹ ɬɨɣ ɠɟ ɮɨɪɦɭɥɨɣ (69) ɫ ɡɚɦɟɧɨɣ
ɜɟɥɢɱɢɧɵ B 0 : R , :r , H                           ɧɚ ɜɟɥɢɱɢɧɭ B Cor : R , :r , H , ɨɩɪɟɞɟɥɹɟɦɭɸ
                                                                             sJ s ' J s '
ɮɨɪɦɭɥɨɣ                       (60)      ɩɪɢ        ɡɚɦɟɧɟ                BqKs              : R , :r , H          ɧɚ      ɜɟɥɢɱɢɧɭ
                                                                                 s

   sJ s ' J s '                          Cor
 BqKs                 : R , :r , H             :
       s




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