Äîêóìåíò âçÿò èç êýøà ïîèñêîâîé ìàøèíû. Àäðåñ îðèãèíàëüíîãî äîêóìåíòà : http://nuclphys.sinp.msu.ru/mirrors/1998_9.pdf Äàòà èçìåíåíèÿ: Wed Mar 11 12:06:56 2009 Äàòà èíäåêñèðîâàíèÿ: Mon Oct 1 23:48:51 2012 Êîäèðîâêà: Windows-1251 Ïîèñêîâûå ñëîâà: m 2

NEUTRINO OSCILLATIONS - "X-RAYS" FOR CELESTIAL BODIES?
B. A. ARBUZOV The article describes a highly interesting phenomenon - neutrino oscillations in material bodies. The effect, which is connected with the most deep notions of the elementary particle physics, may manifest itself in the properties of neutrino radiation of celestial bodies. The phenomenon may be applied to the study of the internal structure of celestial bodies. ëÚÚåfl ÔÓÒ,flÂÌ ËÌÚÂÂÒÌÂÈ?ÂÏÛ fl,ÎÂÌË - ÓÒ^ËÎÎfl^ËflÏ ÌÂÈÚ ËÌÓ , ,ÂÂÒÚ,Â, ÍÓÚÓ ÓÂ, ÁÚ ,,Ë,fl ÒϜ ,,ÎÛžËÌÌœÂ Ô ÓžÎÂÏœ ÙËÁËÍË ÎÂÏÂÌÚ Ìœi ~ÒÚË^, Ô Ófl,ÎflÂÚÒfl , Ò,ÓÈÒÚ,i ÌÂÈÚ ËÌÌÓ,,Ó ËÁÎÛ~ÂÌËfl ÌžÂÒÌœi ÚÂÎ. ü,ÎÂÌË ÏÓÊÂÚ žœÚå ËÒÔÓÎåÁÓ,ÌÓ Îfl ËÒÒÎÂÓ,ÌËfl ,ÌÛÚ ÂÌÌÂ,,Ó ÒÚ ÓÂÌËfl ÌžÂÒÌœi ÚÂÎ.

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, (., , [1]), , , . W Z (. [1]), , 10 /3. , 40 , , . , , , - . [1], : e , ÷ , . e W- , - ( -). . , , , -:
+

÷ + ,
+



-

÷ + .

-

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ëéêéëéÇëäàâ éÅêÄáéÇÄíÖãúçõâ ÜìêçÄã, <9, 1998


? , , () (. [2]). , , : s u + W- d, , , , K- K0 K 0 [2]. ? , . , , , . , m e < 5,1 , 0,51099906 + 0,00000015 ( . [1, 3]). . , . , . , - , . , , , , , . .. .
ëåÖòàÇÄçàÖ çÖâíêàççõï ëéëíéüçàâ

. , x t ( . [3]). , E p, E = p + m . , , (2)
2 d | ( t ) M i --------------- = p + ------ | ( t ) . dt 2 p 2 2

(4)

, , | ( t ) = e ( t ) | e + ÷ ( t ) | ÷ . (5)

(1)

(5) (4) e(t), ÷(t):
2 d e ( t ) me H i --------------- = p + ------ e ( t ) + ------ ÷ ( t ) ; dt 4p 2 p 2 d ÷ ( t ) m÷ H i --------------- = p + ------ ÷ ( t ) + ------ e ( t ) . dt 4p 2 p

(6)

(4), (t) e , ÷ , , M 2 (2 × 2)- , (6). H , . , , , . , H 0. (6) 1(t) = cos e(t) + sin ÷(t), 2(t) = - sin e(t) + cos ÷(t), (7)

: e ÷ . , . d i ------ = H . dt (2)

H - (, ). H | = E | (2): |(t) = e- iEt |(0). (3) = = c = 1, . , ,

, (3). , 0 1 , + /2 - . (6), cos , , sin , , 1 : H 2 2 ( 2 p + m e ) cos + --- sin 2 cos ------------------------------------------------------------- = ----------- . sin H 2 2 --- cos + ( 2 p + m ÷ ) sin 2

(8)

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, : H sin 2 = ----------------------------------------------- . 2 2 22 ( me - m÷ ) + ( H ) (9)

|÷ . , (13),
2 2 2 ( E1 - E2 ) t 2 2 m t W ( t ) = sin 2 sin ----------------------- = sin 2 sin ----------- = 4k 2

me = m÷ , = /4, K- [2]. (7) , (6):
2 2 me + m÷ ( me - m÷ ) 2 m 1 = ------------------ - --------------------------------------------- + 2 2 2 22 2 ( me - m÷ ) + H 2 2 2

m L 2 2 = sin 2 sin 1,27 ------------- , E
2

(14)

H + --------------------------------------------- , 2 2 22 2 ( me - m÷ ) + H
2 2 me + m÷ ( me - m÷ ) m = ------------------ + --------------------------------------------- - 2 2 2 22 2 ( me - m÷ ) + H 2 2 2 2 2

2

(10)

H - --------------------------------------------- . 2 2 22 2 ( me - m÷ ) + H (10) m÷ > me . (10) , H = 0 m1 = me , m2 = m÷ . . H , 3H 2 2 m 1 = m e + -------------------------- , 2 2 4 ( m÷ - me )
2

2

L , - m2 - . , , L = ct. ; . ? , W , - . , , , , , (14). , "" . , , , (14) m2. , , . "". , . , , ( ) ( ). . . (., , [1]) ÷ (14): sin2 2 > 0,82, 5 10- 4 < m2 < 6 10- 3,

3H 2 2 m 2 = m ÷ - -------------------------- . (11) 2 2 4 ( m÷ - me )

2

, (10). , 1 2 | j ( t ) = e
- it E j

| j ,

m E j = k + -----j ; 2k

2

j = 1, 2.

(12)

, t = 0 . (7) (12) ( e- ikt ) | e ( t ) = cos e
2 - it E 1

| 1 ( 0 ) - sin e + sin e
2 - it E 1 2 - it E 2

- it E 2

| 2 ( 0 ) =

= ( cos e

- it E 1

) | e + (13)

+ cos sin ( e

-e

- it E 2

) | ÷ .
2 2

m = m - m . , . ,
2 1

. . , ,

88

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c .
éëñàããüñàà çÖâíêàçé Ç ÇÖôÖëíÇÖ

= 2kVW , W. V W = 2 G F N e = 7,63 10
- 14

, , . (L. Wolfenstein) .. .. (. [4]). - . . W Z . - . Z, ( ) W. , , W- e e, e + e W
-

Z --- , A

(17)

GF = (1,16637 + 0,00002) 10- 5 - 2 - , [3], Ne - . Z , (17). (A - )
-7 Z 2 = 1,526 10 --- k , A

(18)

e + e .

/3 k - . (15), (16) , m . (15): sin 2 sin 2 m = ----------------------------------------------------------------- . 2 cos 2 - --------- + sin 2 2 2 m (19)

W, W, W+, , . . , , (6): VW |e(t) . , , : m1 d 2 i --- | 1 ( t ) = ----- + V W cos | 1 ( t ) - V W sin cos | 2 ( t ) , 2k dt d i --- | 2 ( t ) = (15) dt m2 2 = ----- + V W sin | 2 ( t ) - V W sin cos | 1 ( t ) . 2k (7) , (15). : 12 2 2 m = -- ( m 1 + m 2 + ) + 2
2 1 2 22 2 + -- ( m cos 2 - ) + ( m ) sin 2 , 2 2 2

(16) (19) , . , sin 2 1. , k ( ) , , . - = = r ,
-7 Z 2 = 1,526 10 --- r k = m cos 2 , A

(20)

(16)

. , > r sin 2m 1 . (20) sin 2m = 1, 2m = /2. sin2m , , 2m , m - /2. (7) , . , , , . .

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(16). , (16) , (15) ( VW). . 2 2 m e + V W , - m ÷ . . , , , W. VW . , m2 , . , , , . , ( ) . , m2 , , , , , .., . ( ) .
èêàåÖêõ ÇéáåéÜçõï èêéüÇãÖçàâ à èêàåÖçÖçàâ

. . , (), - ,
( ÷, )

+ Cl

40

÷ ( ) + Ar ,
+ + 40

- . , 100 ( ). . (-), . , , , , "". . ( ) . . (14) ,
2 2L sin 2 sin ---- , L0

, , . . [5], . , , , , (). , , , , , . , , , ,

. , L - . sin2 x 1/2, , 1 -- sin 2 . 2 , , , , sin2 = 1. , . , , . [5]. , , (20).

90

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, cos2 Z --- = 1,05, A

1.

= 10 -------- , 2

E = 1 ,

, . (20) m2 = 16 10- 6 2. (21)

, (21), m 4 10- 3 . (22)

. -, , - , . , , . -, , . , , , , , .
ãàíÖêÄíìêÄ
1. .. // . 1996. 9. . 94-99. 2. .. . .: , 1982. 3. .. . .: , 1988. 4. .., .. // . . 1987. . 153, 1. . 3-58. 5. .. // . 1997. 8. . 79-85.

, , . : , , , . , . , , . , , 3-6 /3 9-12 /3 , , (22) . . , , .
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*** , - , . .. , " " ( . .). . : , . 120 .

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91