ORIG. RUSSIAN: PASSAGE OF NEUTRONS IN A HETEROGENEOUS MEDIUM (FOREIGN LANGUAGE)

• Document Type: CREST
• Collection: General CIA Records
• Document Number (FOIA) /ESDN (CREST): CIA-RDP88-00904R000100120020-6
• Release Decision: RIPPUB
• Original Classification: U
• Document Page Count: 23
• Document Creation Date: December 22, 2016
• Document Release Date: August 18, 2009
• Sequence Number: 20
• Publication Date: July 1, 1958
• Content Type: STUDY

 1 BTOp88 MBM(ayN8p0AN88 KONQICpBNqgA
Y~ upf3HN32qNM O6bBAMHBNNbIX NBUNN
NIS no IIpNMB!IBNNIO BTOMN0113HBpfNN
..~~. a mNpaw,r qenox
He nOAAeUNT orAaweHNIo AO O$Nt waAbHoro COO619OHNN Ha HOH4ePeHI{NH
PACIIPOCTPAHEHKE HZITPOHOB B rETEPOrEHHOI CPEAE
H.H.JIaneTKH
I. Pa :npocTpaueHle He 1TpOHOB B HenornoWaige
reTeporeHHOA cpeAe
IIyCTh B 0e0xoHeuHOM npocTpaHCTBe KMeeTC)l nepMoAHUecxa3
pemeTxa, BHn0nHOHHax Z3 CTepl(Hei uK)lMHApMUecxoH opMH 4KpyroBMe
9KARHApH, nnoCKKe CJOra K T.A.). OcTambxoe UPOCTpaHCTBO 3anonxen
Ben(ecTBOM, OTJIM4HMM OT Bei4ecTBa CTepuel7i. Byj,eM Ha3MB8Tb ero
3aMeA)KTeneM. Ec1IK xapaxTepK30B8Tb cpeAy MaxpacegeHKeM B3a mo-
AeMCTBK$ HeIATpOHOB C Be14eCTBOM TO dyAyT KMeTb
McCTO cneAy?llj}e 000THOWOHKA: E1 , 0, f)= (',,JI -8,
3Aecb yron 9 OTC4MTNIBaeTC$ OT OCK, napannenbxoi o6pa3ylautMMM
uHnr1uApoB. Maxpoce4IeHKe (^t, 9, ip) B CTepxHAx 0 03H3 IM
uepe3 z,z x B 3aMeAlIKTene uepe3 2i ByAeM culriTaTb, 11To
norn011leHme B CpeAe OTCYTCTByeT. PacnpeAeneH1Re Hei1TpoHOB B iienor-
noorwoueet epee 6yAeT OIIKCbNBaTbC$1 peweHNeM ypaBHeuHA Ha Iep ica
B smAe:
~,2-1(-C)d-L'
( ) OM e CN
1ciI~ _~ I2
(paccesHKe cq1TaeM c4)epMt1ecxM CMMMeTp 44HhIM B obeMx cpe,i(ax).
a) ,IKC)c)y3Mf1 HeYITpOHOB B HaIIpaBneHMK, napa i embHOM
uH )KHApaM
HoMeCTKM 0ecxoHegHHM n1I00KKM KCTOgHKK B n1IOCKOCT11 2-= - C~o
Approved For Release 2009/08/19: CIA-RDP88-00904R000100120020-6
 Approved For Release 2009/08/19: CIA-RDP88-00904R000100120020-6
-2-
PemeHvreM y aBHeHVU (I) B 3TOM cnygae dyAeT c yHKuHflcP( )=k+a(d o
r,i(e 4 $ (LCP) IIOCTORIiHble.
d,Y
,JetcTPHTe)LI HU, a 3HaLleH4IA
HHTerpana ~~'t .~Qlz B3ATOro nO HMZHOMy m no
BepxHeMy nOnynl)0CTpaHCTBy, B clang ycn0BHA a(e)=~~~-~~,
OTA14LIatOTCH TOiIbKO no 3HaKy. He4eTHMe CTeReH4S Z TpeTbero i
(pollee Bb[ooKKx noppAxop "O)1) Hll UbITb OTKV1HyTiA, Tax K6K pewee
ypaBHeIIHA (I) A01IPHO COCTO$ITb H3 [IOCTOf1HHOr0 ulleHa H LI11eHa,
aHT 1CIQMMeTp6H HH0r0 no ` B J11000>ii TOLI13 cpe,nbl, 4TO B03MOXHO
JIMlLIb ITpH iTHHei HOrA 3aB14C14,,,OCTM peweHHSi OT Z. Jlerxo ?IOIta3BTb TaK-
ie, qTO gJyHXLUU CP(S) He 38bLICY,T OT KOOpAHHaT X M
TOE HeRTpOHOB uepe3 3neMeHTapHyD nnoi aAKy d.s C Hopldanbu,
IIapanneiTbHoii OCY1 paBeH It
_
Z(AL)cP(40coAoe ~ d, "t des
=
d~ d 91, 0 ~ (.bI)cA,'
eLn,dc&0d6 ^t,,~Ei(At+,Je G dt -dS . (z)
3Ta BeiIH4dIHa 3aBi4CZT OT no,Io)eHwa B ALIe>rlice peweTKH. Ycpe,i(-
HAA TO ,S rio nonep::LIHOMy cegeHVla) Ave2xt1, nonyuiz
d~ ds dS2~a~z6 So~~~~d~a
I d:~ say ~T ^oe c)^c '~
sa4 Q o
4 -nnoucaAb Iionope.uoro CeLIeHY$ ntieiji .
Be1mmiy ( )o Ha3OBeM 3t )eXTHBHblM Ko3lpi}i 4-
L(MeHTOM I Mgcy3HM Anf HaIIpaBileHwsl, riapannellbHoro ocM CMM1deTpHM
cpe.w. llopsi OK ZHTerpmpaBaHHA no yrnaM K no ni1oLAaAH Rue IxK MouM,
ogeBMAHO, uoMeHATb MecTaMN. TorAa
D = dQ 29 I (O,i) (3), r e
+ +
4~~7Ih, -`Lo~L 'S2~Icii a 52 ~I,li . qt p1+Qe
l-
rAe ai ,o2 ,a3 H T.A.-noclleAoaaTenbHble oTpe3Ki1,KOT0pbLe )1y4
IIPOXOA14T B ITepB0 { cpe,Be, I80 3TOpo11,cHOBa B napBO2 13 T.A.3a:se-
14a,99U0 ~c,t~ Jti lot ?,`a? 12~ _E'Q1C1-euza
YI T.?tii,BW. ZiAggTO
t+'io
Approved For Release 2009/08/19: CIA-RDP88-00904R000100120020-6
 Approved For Release 2009/08/19: CIA-RDP88-00904R000100120020-6
-3-
Ic )= tEl ~ +~o) e ? d-.
s~4 Sav 0
00
(4)
6) AI&JXPy3HP He1iTpOHOB B HanpdBneHI11, nepneH,I,.KKy-
)IS1pHOM W1.MHApaM
IIOMeCTKM nn0CKKLi beCKOHegHbIg VICTOHHHK B nfOCKOCTK x
PeuieHHe ypaBHeHg.A (1) B 3TOM cnyuae eCTeCTB8HHO 11peACT3BKTb B
BaAe (~)=c (-)t +Acp(a'lJ) . ,:I% K (d -noczos1H-
Hbie. IIepBbie ABa ueHa peuiean onMCuBaKT ycpe,AHeuHoe no siqeg1Ke
pacnpe,AeneHMe fOTOxa Hei TpoHOB B cpe,Ae, a TpeTH1 pacnpeAeneliMe
BHYTPH HgeViKVI. UgeBKAHO, uT0 lPyHKuKA 8 (x,~) AOAXHa bbuTb
nepwokwqecxol71 no KO0p,IU4HCTaM x , T.e. oc'(x,y)=AcP(x+Qx1~)
K Acp(x7q)=0,~fp(x,~ta~) I rAe Q~ K a -napaMezpbi peuieTKH,
000TBeTCTBeHHO, n0 OC$IM x K lj .
ByAeM CtI4TaTb, tITO qjopMa uH"KHApOB Tai, oBa, 4TO B Ka'xAo11
A4e1 Ke KMeeTCA XOTH Out OAHa OCb c IMMeTp4H, OTHOCW1TenbHO K0T0pOR
cn?paBe,Ar.KBO yTBepigeHiie (,t,D, (p)=,57(~,,9, pt,l ). Tor,a M3
ypaBHeHHiJ (I) nerKO 3aMeIMTb, 4T0 ec i Ha4aao KOOpAKHaT noMec-
TIRTb Ha OCb CUIMMeTpMM w4eku, TO ACP (x,LJ) AO/1Ha 6HTb
He1eTH09 t yHic u.ie1i no c , T. e.
A Cp(x,~)=-L c (x, ~) .
~YHKUHA A4' (x,Ld) onpeAeaneTC.9 ypaBHeHKeM:
ti
-5(-L')dh` - -
o_(x,~)E(z)e to d-, dd~ (x-x0) (~.)e
2 + dx
1 o I col
IIPK Cdx~O=0 (pyHKUKA ocP(x, ) , otieBH ,HO, o0pall(a-
eTCA B HYnb. 11PH d
dx~ )o -f D mb~ MoxeM Pa3AeiIKT}; nPaBYio
K neByIO 1480TK ypaBHeHVIA (5) Ha (d ),D K, BBeAA 0003HageHMe
Vx,p Q(P (y) nony4KM ypaBHeHKe:
Mac
Ox,l } Ne ~a dhc (x-xo)J(.)e "? dh
-
JI j,-Y, -"C 012 11J 1; -_ 2-
Approved For Release 2009/08/19: CIA-RDP88-00904R000100120020-6
 Approved For Release 2009/08/19: CIA-RDP88-00904R000100120020-6
- 4-
Pay
m
143 iioCne,1(Ilero ypa.3HeIIMJI BKAKM, LITO (1yHxgi4n y(X,1j) yffie He
3aBVICK", OT XOAa ycpc,l(IIeIIHOro IIOTOKa. II03TOMy oOutee peuieHKe ypaB-
HeHC'4 ; (I) MO'KeM HamIKCaTb B BKAe:
(;);C, )0zc[L)j.
Bwwpameulae ,Ann Toxa HefTpOI-IOB uepe3 3neMeHTapxyD nneiiaAxy cis
C HOpManb!O napanneiIbHoii DCM x- OyAeT KMeTb BMA:
IdS=
I2 d~=
_ d~~.SL~Bcast~ (6)
- (71)coe ~c t
~?
dcP
Cal T-+ X0
d~ dx d s
IIepBbli KHTerpari B (pzrypHLax cxo6Kax oOpauiaeTcn B Honb 03-3a
MiTerpopoBaHUR no yrny ip (HHTerpan no d1c. paBeH I, cM.izpH-
McTaHKe Ha cTp. 2).
Ycpe,IjHAR (6) no IIonepeT4HOMy cetIeHKIO nqegicK, nony-IKM
d dS dQ5-ye9cos2ip -.E(%')dc'- Y(x+Oco)~+~u)
I d j . t+to)e 11+ d^C
s.~4 say 92 1 x+ X0
BenKqKHa
= T / ( ( ax C& )
0
KrpaeT ppnb 3cpq)e1TMBHOro xo3c) )MLMeHTa ,IX1tJ(),j3KK B HanpaB)IeHKK
(;)
1(e )_ ^cEl(^~ fi u 1 e o d~.
S,4 x+ TO
ockl X.
IIepernnIeM B1ip'3,aeHI a Ann --DX B BKAe:
D ~ d~~~y~ZBcoti tp ~ C8x y ~P)tI~Ce~P} .
3Aecb onpeAenneTCR cpopMynoi (4), a
7~io
00
Approved For Release 2009/08/19: CIA-RDP88-00904R000100120020-6
 Approved For Release 2009/08/19: CIA-RDP88-00904R000100120020-6
-5-
(1o
dQ z dS
,D11- co3 I(d,~p) ; I (8,~)= s~(~, t o)~,e ? d~
I(1 14 a
s~4
CMeHNB flOp$1 OK LIHTerpVlpOBaHVIR B nocneAHeM BUpa%KeHIIII4, pac-
CMOTp4M i erpaa no nonepegHOMy ceqeH>liio RyeyiKUi. 061IaCTb wHTerpYI-
pOBaHUiR paaOobeM Ha LIaCTK rio cJleAyK)IgeMy npK3HaKy. IIyCTb mu I4MeeM
BeKTOP, KOHeLJ KOTOpOro MOieT nepeMelgaTbCfi no paccmaTpNBaeMOMy
nonepeqHoMy ce4eHI41o, Bein -I4IHa paBHa "C K HanpaBJleHoe 3a,uaeTCB
yriiaM)Z Q K ip IlorielueqHoe cevei*ie 9,gei!Kz pa3O beM Ha rioriepeq-
Hoe ceLiei e 3aMe,li,J1VITeJIN ~ K nonepegHoe ceqeHKe CTep%CHfi 3C-T.
IIonepe4Hoe cegel-iMe 3aMeAJIMTeJIA, B CBOto o4epeAb, pa300beL Ha Cne.-
Ayiouime 4aCTH: I) II)iou(aAxa Si Taxa.9, LITO BeKTOpbi, onV1i)aloiuuecR
Ha Hee,,He nepeceKaloT cTepI{HeYI. 2) IInoiuaAKa S~ . 3eKTo mI, onipaio-
i4i4ecR Ha Hee, Ha4KHaIOTC$1 B 3aMeA;I1TCJie m nepeceKaloT cTep.KHI. OT-
pe3oK BeKTOpa, ne icauaz B CTep)KHfix, 0603HaUM qepe3 X. 3) IlJio-
IgaAKa S-3. BeKTOpE!, on ipaIOgZecR Ha Hee, HagvHa1OTCA B CTep)KHRx.
OTpe3oK BeKTOpa, lieliCaUtZM B CTepgHAx, ooo3Hagom qepe3 lJ
IIonepe4Hoe ceqeHNe cTepKHfl pa3o6beM Ha fJlolgaAKy ,S'4 TaxylO,
MTO BeKTOpbI; or npaxoiiu'Iecii Ha Hee, Ha4YIHa!OTC$I B 3aMeu iw e;ie z OT-
pe30K BeKTOpa B CTepKH$x paBeH , n>iou~aAKy P5, Ha KOTOpyiO onni-
paiozcfi BeKTOpbi, L1;erllahoM yKiiaAbiBaioliWViecFi B O, HOM CTep-aHe, Ili nnouga,giy
Sb. BeiTOpI!, Onnpaiou(Kec Ha nocJiie4Hiolo, Ha'IIHaIOTCf1 B Apyrlax
cTep)KHRx. OTpe3oK Bexzopa, Jle'Kaigi4, B CTep)KH$IX paBeuA.
TIIHTerpaJi I(8 , tp) 3arIMuieTCF Tenepb cneAyioa m 063, a3vM:
o s~ S~4 o s S,~y
EA - + d"L 2 i-.e +
a ~3 S~4 s ~sv
0 4
1I.13brgOClieHKe 1Coa(pgJv4YIeuTOB A1ipt.py3Mi1 Ansl reTejioreHHOY1
HenornoutaiolgeM cpeAbi
A) I-lpouo;1buan Amcj)c'y314S
BIjqNCnL1M KO3LVL)04KO11T Avicxpy3'u Hei!iTPOHOB B HanpaB1IeHMM OCK
c!P?AMeTpu1. COrJIaCHO 1JOpmyJla::i (3) K (4)J KMeej1__
A,
00 c"
ss s~4 0 sb s~~,
Approved For Release 2009/08/19: CIA-RDP88-00904R000100120020-6
 Approved For Release 2009/08/19: CIA-RDP88-00904R000100120020-6
BeRi4gIIHU ~1 S6 nerKo OnpeAen1Tb B TOM cnytiae, Kor-
Aa BeKTOp C Anf4HO 1, paBHO9 CpeJHe i AJKHe CBO~OOAHOrO npobera xeMT-
poHa B 36Me,4I MTene, nepeceKaeT He 6onbwe o,IuHOrO CTep,Kua, T.e.
L/2i ~> j x
E2 k2 >>
TorAa BHyTpx $axAoro Cno$ MOTHO np4MeHATb ypaBHeHxe AH y3MK
H nerxo olipeAe/MTb (PyHX4KU t(x).
L- HoMep cnoB (cM. pxcyHo1).
,Dl= 4-51 :TorAa sineccn? ) e d't
_ - Al
O J4 a o 32CP
floxaxeM, tITO 3TOT pe3yJIbTaT 6yAeT cnpaBeAnHB npx aLOo2
TOJIuiMHe CJIOeBe Ae1CTBMTeJIbHo, onMebiBan pacnpeAeneMe HOTOxa
B c ueAe c yHxuxeg
- I-(d (t)
fi(x)-YO
d He o P
Approved For Release 2009/08/19: CIA-RDP88-00904R000100120020-6
 Approved For Release 2009/08/19: CIA-RDP88-00904R000100120020-6
-II -
BOnbHOM pace ioai u i X0 OT ijeHTpa nnaCTHHFI.
HO JIygMM :
I +~) ~Jo+
2 ? dxa a)-
cP
hif- z ((V -520:1 d%I + d xo ~~.
2 V-f- - i '2Z C-t e >-Ccp
cp )
BI gMCJIKM OAHOCTOpOHHVIe IIOTOKH tiepe3 3lIeMeHTapHylq n1I014aAKy C Hcjr-
MaubE, napanneamdo ock x , pacnonozeHHyo HH 1cUKOM-HNOyAb npo143-
1 d4)
6Ecp d -X )O
?+ `d C
(20) x cP +
~Iz 6,z3cp (~dvc)o
( 8 -yron paAKyc-BexTOpa c ocbio x ).
T T
Pe3ylibTi4pyl0llju1 IIOTOK 1 H He 3aBHCHT OT r0JI0-
oluaAxH B Rugxe. 3E~cf dx o
%ern a a-9
Tenepb ecam 6x Y(x) Own xecxonbxo Apyrog aHTHcIaMMeTpHq-
HoK OTHOC 1TeJIbHo IjeHTpa IIJIaCTIIHH c yaz eA (HanpMMep, 113obpasa/Iacb
ON KpMBOyi 2 Ha pxcyHKe), To TOE Hepe3 naoutaA.xy d, s1, pacnonoleH-
gy 1 y n(e _Q rpau iii nnacTNHbi, nonyulvvlcA Obi McHbme 3HaveHMB
3~'c Cdac )o a ~Iepe3 nrlou~aAKy d 2 OO/bme 3T02 BenM IHHI1i
T.e. ox 6I /1 ON HenOCTOAHeH no TOJIIIjLIHe nnaCTIIHbi, Nero He AO/ZH0
ObITb, Tax xax nornou(eHHe OTCYTCTByeT. CneAoBaTeJIbHO, (yHKuHAc~(x),
onpegensJeMaA BblpaxeHNeM (I9), BBJIAeTCq TOXIHbW pemeHHeM KHHeTVitie-
cKOrO ypaBHeHHR Au reTeporeHH09 cpeAu Oe3 1 norno> eBLIH, H noJiygeH-
Hoe 3HaueHme Koac1MLMeHTa AX X y3i~K ,D1_ Cnpa BeAJHBO Au
MANX TOAigL!H nnaCTHH. 3Z7CP
Ann cA vaa Kpyrnux gmizHApimecKr~x cTepxjiei~ npi BbinoJIHeiLMH
yCnOBMB L i~