measurement of nuclear reaction cross sections of rare

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Inquiries about copyright and reproduction should be addressed to : Technology

Management Section Oarai Engineering Center, Power Reactor and Nuclear Fuel

Development Corporation 4002 Narita-cho, 0-arai-machi, Higashi-Ibaraki,

Ibaraki-Ken, 311-13, Japan

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PNC TJ9607 97-001 MARCH. 199 7

Measurement of Nuclear Reaction Cross Sections of Rare Earth Nuclides-H

Masayuki Igashira* *

Abstract

When minor actinides (MA) are returned to a core of fast breeder reactor for the purpose of incineration of them, rare earth nuclides and so on(RE) are also returned to the core because the separation of MA from RE is difficult at present. Then, accurate neutron cross section data of RE become necessary for investigating the characteristics of the core.

Therefore, the measurement of keV-neutron capture cross sections of l43Nd and 14lNd were performed to obtain the accurate data. The measurement was relative to the standard capture cross sections of 1,7Au. A neutron time-of-flight method was adopted with a ns-pulsed neutron source by a Pelletron accelerator and a large anti -Compton NaI(Tl) gamma-ray detector. As a result, the capture cross sections of those nuclides were obtained with the error of about 4 % in an incident neutron energy re­gion of 10 to 560 keV.

A comparison between the present data and the evaluated values of JENDL-3.2 showed that JENDL-3.2 provided good evaluations for 14SNd, but underestimated the capture cross sections of 14*Nd by 10-20 % at neutron energies below 30 keV and overestimated them by about 20 % at 560 keV, whereas it provided good evaluations in the energy re­gion of 40-70 keV. The discrepancy is caused by the weak dependency of evaluated cross sections on the incident neutron energy.

Work performed by Tokyo Institute of Technology under contract with Power Reactor and Nuclear Fuel Development Corporation

PNC Liaison : Toshio Wakabayashi, Core Physics Research Section, Advanced Technology Division

* : Research Laboratory for Nuclear Reactors, Tokyo Institute of Technology

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m-%-M<Dmjj<D)-7 • y- f • yy k • * n/yy^-oy- KA^ft#(ctfc0>;VO-^7CT-^iCOV'Ttt, iSSMTOF*lC2 0

4 ^<y F • V ^ —x-f y y (Event Recording ) SrtrV'1 % x“~y §rx ;7 (z;

lOke V/c h , T O P ## 0 . 3 n s/c hTMLfc,,

2.5.2 f

—y —h IT, 0 cmfe5V'ii4 . 6 mOgggif\cWiWi^tz2 * * * 6L i -Uy* • yyyy-y s y#m##&m\%. (6L i -^7^ • yyf y-

^|j:5mmi x 5mmfe5V',li 1 0 2mm^x 6 . 4mm)

m i 4^&,^6#)c, y=y • yyy-?itts£ii, y

-Y ^yy • yyy^v • y^;v • yy^if-tcig^ns. ::t\ #mtcZ5 4=#9^#y

-;5\ TV- Kitiy7ttjWi$7yy (Fast Amplifier) T#*g $ ft,, ny^^>|- - 77^ '>3y • y-f ?yy • ?^;%y V(c#6:h,TiSM#-»icm&*h,&eu 0#PS)-&iiif^&SS<oAy-

f yytutx /<y

^x^y • t?yy •

3E&Sg<om;%#x.f y/ • yyy$riiiSLfc^x y’=y •y-h•yy K•x M/yy^-r*#y^r#lCZ 7;uf •ft^^,yt7-l'f- (Mul ti-channe1 Analyzer) TTOF^^y .

2. 6

143NdMU5Nd^J;lTli^ 9 0.8 5 %5.f>* 9 1 . 7 3 %lcIW&fr&ijig LfcgHb # (Nd203) . 0 g (NdOf) fflWc,^|C/J\$V\) y777'r hS^RSttS^lCSfALfc^, S§§tDF5EB<D/p: $ 141mm,

2 mm k@y?#< Lfc. StSoftBft 2 OmmTfey , Ffc)^C0/p:$li2 . 4 ~ 5 9mmT*&<50 £- 3 i^t.

LT2 Omm^ X 2mmO& (Au) V'fc B r (DU^A u bm3 i^to

- 30 -

2. 7 m%.

143NdS.UJ145NdWi^^(O^S^oV'T, *&Jf-^;V3I-5~8 0 k e5 5 0 k e V 'itz 0 5~8 0 k e VOlel^-eiJ, ® 7~ 1 3 k e V (TO 1IkeV) ,©14~25keV (TO 2 0 k e V) , © 2 6 ~ 3 4 k e V (TO 3 0 k e V) , ®3 5~4 5 k e V (W4 0keV) ,®46~54keV ffi^50keV) ,©55~6 5 k e V (TO 6 0 k e V) , S.U5© 66~78keV (TO 7 2 k e V) <D 7

(D'fflfe (W-run) „ (Au-run) , (Blank-run) <0 3 «£<D#!l;£$:fTofc0 Au-run L , Blank-rund»

5W-run, Au-run, iU^Bl ank-runSr^UWWK#fc») ig btfTofc. Cjl,603M&^fl=&^4|:

31

m3

143N d (Bn=7. 817MeY)

mtm : N d 2o398.5%J£Lt

|bH&#:E6S< 142(2.39%),143(90.85%),144(4.51%),145(0.58%) 146(1.46%),148(0.12%),150(0.09%)2. 0cm i> X 0. 24cm

MM. (143N d(Dfi : g) 1.057(143N d atoms/b) 0.00120

145Nd^ (Bn=7. 565MeV)

: N d 20398.5%^_L

PI ttM 142(0. 92%), 1 43 (0. 70%),144 (2. 55%),145 (91 . 73%)146 (3.67%), 1 48 (0. 28%),150(0.15%)2. 0cm <t> X 0. 59cm

(145N d (DM : g) 1.072/PS (145N d atoms/b) 0. 001 221

A uK# (Bn=6. 5l3MeV)

: A u99. 99%GA±197(1 00%)2. 0cm <l> X 0. 2cm

HS (s) 12.02IP $ (197Au atoms/b) 0.0117

- 32 -

#4 h^SrS*)£LfclS50&fl=

2II6tiJ 80keV<D$]£ En=550keV<DM

143Nd 145Nd 143Nd 145Nd

(cm) 11.8 11.8 19.8 19.8mf cmh*) 2 2 4 4¥i5jtf-AESL (//A) 5.5 5.9 12.3 12.1W«l«fW (h)

run 51.5 31.0 28.0 27.0Au-run 5.5 6.0 3.5 4.5B1ank-r un 5. 5 5.0 7.0 9.0

33 -

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icZ5 tf—9, $ % k°— ^ (i Df^A-^-yy /

tx-g:57Li (p, y) 8Be&f&a'6<o#VT*t:j:sr-fT&a. g*

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<D#>'?1&<omffBSM : ^ 1 n s) ^ Od" y ^;v£1+$)£ hZc ^ 14^I3£b6L i tfe

m##$T(Dge^3 o cm&mrLTcumT&a. mi eii^NdW^t^x^^-ss

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T, blank-run T'M £ ft/c *><DT*fc5 . @ 1 6 KdSV'T* 5 0 0 If-*

# 5 5 0 k e tf-*T*&>9 , 2 0 0 f^^Wtfiao/hSV'fcr—*#7!. i (p, v)

8Be^^f>0^viia5t^-^tfc50 fit, r 2^s (4MHz*OX5 0

Ons) j*. -fbl^s^ E"—A Rl <£ 'b t°—* Tifo £> „

ttimWiWPy t (ns) t'f'ttfx^/^-Bn (Me V)

E n = (72.3LZ t) 2 (3 - 1 )

A-O. ::t\ i^^fcTOF^

? ?7l/ K£3l£9 ,

Tx^yva?-*^*

1 ir^5 J: 9 t£$!te{b1-5 t , (E n) asfcfcft-5. ##<Dfc

^MRU^M 6L i &ffigo*0#tfefctJ3b¥&ia l 7 5.t/l3l 8K#*#i-. @»c^Lfcf0** ^ffiH4)06L i, 0, Si, Al 4pO«-JS6^Jt&Ut|^fi3[frOflF?aEifcfceFx-^7r

Zrt'ENDF/B- I Vf

tzb<DT'&Z0 *»W»c^5>HfctfJi4^^ga»7i (En) ^@1 9S[/@2 0l^to H9

M 1 5 MJ& V , 143N d pmcD^ted^^yvaf- 5-8 0 k e V ©SUfcORRO fcwtfe 5 % 0

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#6tiTcZ>-7##ai#OTOF%^^ b;V£g 2 1 5:1/12 2 2(ce*^T. M^d^T, 9

34 -

Cou

nts

400 800 1200 1600

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@ 1 5 f #7-T O F h 143N d -5~8 0 k eV CO 6$^3 0 c m <D$ii fc/J'St6L i U 7

^t^ffilfTblank-runT'tJ^ L/t =k<D0

35 -

Cou

nts/

chan

nel

Channel

0 1 6 ttt^T O h/l/. 145N d efazjVl/jf- 5 5 0 k e V

(Dm&comv fco-c, ^4 . e mcD&wizWfrtifcj:M6L i is?*^ffi^T'blank-runT*S'JS L7t h<Da

36 -

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100

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Energy (keV)

in 6 0 c L i tty %#&#(?)

- 38 -

0.020

0.015

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0.005

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Energy [keV]

m 1 9 143N d - 5 ~ 8 0 k e V 0j: AyvH ;v„

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500 550 600Energy (keV)

@ 2 0 145 N d 5 5 0 k e VO%^<D^<7X AM

k ;V0

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1000 1500

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@2 1 H/l/. 5 ~

8 0 k e V <7}Hi*T% I^fi 143N d .

41

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Au(n, y) l98Au

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12 2 T O F h/vc f 5

8 0 k e VOl«T\ A u K#.

42 -

0 y H^-C*@r 57L i (p . y) eBefcfcfr

T69 , ^oMttMSIWTBaflltKftoJloSl^ifc^J-rs. %-oT, II 2 20##Au##0#

@21<di43nds-e-x-ri^t'-^^gl4ffV'0 tt^^if-SSOkeV^T-, 145NdWWI?AuW

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SKiSV'T, 4 0 i (p, y) 8BefcJ&\z£Z¥-?T-h

9, 5~ 8 0 k e V<dSH£

OSKO*^iR#l:% 145N 0 2 3

5 ~ 8 0 k eVi^^cof-^jllffc43V'Tll, 02 1RI/0 2 2(DTOF^^ WV43

OForegroundgR;£(C, 2. 7 T*i£-<fc5 7 iSOxi/*

(DW 1-7) £r$ttx PfrlBUcT&ifft#LfcV'Backgroundffi^K: UlCDWSrR

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Foreground«#5tfB*WlC?&^ft#L*V'Backgrouiid®tt»C#* 1 ®<DWD SrjRltfc.

0 2 5 1C , 5 ~ 8 0 k e V^J£o143N d 0$J£0|g0©~©0L7c7*T • 9ft#Uw<y^ • Kofti**'*

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h;ViS:3l££5 t , litflESfcO (n , y) h;V&#5C t

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LTB^i-<i-d7c», 02 7TI202 5 tC*ffS;1-£©~(

Sr'6'tf-L7cZSo$S^^^ 9UROf-f ##fK:jst'TU\ #DWSIC2E

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< fcoTV'3. a^AuKHsMcoV'Tfc,

F;v^#6n-5e -#§r0 2 9 Ctiid: 5~8 OkeV0143N d 0^»0R0t0T&<5A%, 0 2 7 61^#::, ©~©0

F;VT'S)-5e

43

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@23 T O F wv0 *&=S-^*)\sZr- 5 50 k e VOlSKT*. fJmii145N d „

44 -

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cn

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S-^i- < -fZtz tb. Foregrounds^ t LT D W 2 ~ 7 LT V'5 „ Back

ground It. DW 2 ~ 7 (7) ft B# ISQ 4S K <b L tz *> W £ 7F L T V 6 e

46 -

- LV -

°^fC3PN5M % CO A 8 * o 9 9 — £*-£#43 "4/4 4?>'Vr^!5?a»P“nojS5|0?gsQ-gpnnojS9JOj^[i|§^^a.S§ffi^:SS!^'<^ 9 Z El

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Counts/25keV

101 -r

Energy [ MeV ]

@27?x^;^-5~80ke 143N d (DiM&a %#&& <-f- 5 7t » , DW2~7©^fH:^LtV'5.

- 48 -

Cou

nts/

25ke

V

MeV

@2 8fx^;U^- 5 5 0 keV«Itt\ 145N d

- 49 -

Cou

nts

10

Energy [MeV]

029 u

•<9 h*. 5 ~ 8 0 k e LTI^i~< i-5 fzti. D W 2 ~ 7 (O^fj-Sr^ ITV'io

- 50 -

3 • 3 M9E4' — K

h;WC$Ei51:^B10) LTSSE'TK

#%. mTc. Sies^ist-ovTifcBfi-f a»

3.3.1

KR:«£oTM&5. V^U, S-SiS^e- KT*$fctti

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(3-2)

/tfcL, iDjtt i^e-E7ijtt HE-KT-

T*£>5„

o

MY = ES; (3-3)

i = lr(i,e7 ) t-rzt, lTv^si'vnm sax*

M nijS(I) = ES: £R(I,EtM)

i=l 1 j = l 7U(3-4)

tmvz o

S:^H$ W(I)&-

er(i,e7U)w(i) = ( 3 — 5)

T-&M L , W(I) Sr (3-4) I I^OV'TfPSr t 2> „ i"&:b*>

£S(I)W(1) = ES, E £R(I,E„. ,)*(!) = I i=l 1 j = l I 7U

M= (B.E.+En) ESj = (B.E.+En)Y

i = l(3-6)

- 51

iot, MS-Y — Kli

rsd)w(i)

k#£Z . WCDitKtrlS^er^UT, (3-5) R&ffitz'fZ?

W(I) = 2. 42 X I02I°* 5+3. 01 1 +0. 24412-2. 96 X 10“413 (MeV) (3-8)

3 . 4

A u OME4* -;v KUu <D#2p#E#rm#&m'5 ^ , #

A u a Au (barn) , dAu(atoms/barn) ,k , Kf4&0«fc 9

^ = CA,dA^^ f aA/E)^(E)dE (3-9)

CAu : #]E##t, : f%9-^K%(l/keY)

(3-7) ^k (3-9) <&Au(4

£S (I)W(I)*Au = "

IB. E. +En

k^-t. 5 o

3; 7c, 14,

Tc; XRC2

/ (Va-S ■’A„(E)-(OdE ) (3-10)

*S ' ^ Au X T v p 2 1AuXKAu

(3-1 1)

Ts ,TAu: i #*^0:4#

Rs ,RAu:

k*£Z, c:x\ i«mjSoWlcKftmt5©,c,

- 52 -

3 • 5 fitSgrmSI

KYS £ MSESr@91 a 7arrogate,

Yg = Cd^gJ a r(E) 7) (E) dE/ J 77 (E) dE (3 — 12)

C : *§!£{£&

d : (atoms/barn)

i:t\ ¥±§MgEE9r@g«0>Sr,

<a> = l 0?.(E) t? (E)dEZ l v (E)dE (3-13)

"C‘£#1-5 t »

<o> = YgZCd^g (3-14)

t$55,

3 . 6

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cns: (ees«)

c7g:C7a: 5#]E

3.6.1 Cns

Kfiiaotfta • RJR£ftT«*JrfS. zcntztb,

-Y-;V m, E-E+dE^^#^CZ5##^-/i/ K§rY(E)dE^T6 ,

Y (E) d E = o _(E) -1-~-e---P--~7-°-l—— 4 (E)dE (3-16)

' a t (E)

53 -

n :

a j- tfsmmwmat:

T&6.

CZT.

Y = jY(E)dE = Cns-n J or(E) * (E)dE (3-17)

X'&m-fhh, ^(5^5

t ,

j (1-exp (-n a ,. (E))) <t> (E)dE

$ n a t (E) 4> (E) dE(3-1 8)

t ft <5 o

km, Rm:j:cT#a&h&f#94cj:a#gEa:*&:h,5.

CnBtrftS;T£S&Ufc.

Y = Cns 1 Cnm * I n a?.(E) <£ (E)dE (3-19)

= _______________ ________________________________no 3 20

Cns&tf Cnm(DEti, KT I M11>T#»7c0

3.6.3 CJS

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5. C^&#lEi-6yc»(D#jE#^a: C T&5.

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- 54 ~

3.6.4 C.7a

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3. 7

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(3) afei*m*ft-T?fflV'5H*HS&<DKI£fcfiHLfc*&3i. (1%)

(4) «j*fi^.«feSrjgfflLfcR> T-f V • hjKD^flrfcifiBLfcmm. d%)

- 55 -

E5

En=5~80keY<2H©tEn=550keVC)3E#

DW2 DW3 DW4 DW5 DW6 DW7

C 0.989 0.989 0. 989 0.989 0.990 0.990 0.998Cnm 1.011 1.010 1.009 1.009 1.009 1.009 1.022

143Nd Cns 0.990 0.991 0.991 0.992 0.992 0.992 0.991Cga 0.990 0.990 0. 990 0.990 0.990 0.990 0.990Cgg 0.999 0.999 0.999 0.999 0.999 0.999 0.999

C 0.964 0.953 0.943 0.940 0.936 0.922 0.910Cnm 1.206 1.186 1. 169 1.161 1.154 1.134 1.088

197Au Cns 0.922 0.928 0. 931 0.934 0.936 0.938 0.965Cga 0.867 0.867 0.867 0.867 0.867 0.867 0.867Cgg 0.999 0.999 0.999 0.999 0.999 0.999 0.999

C 0.996 0.994 0.992 0.991 0.991 0.989 0.995Cnm 1.028 1.024 1.022 1.019 1.020 1.016 1.022

145Nd Cns 0.985 0.986 0.987 0.988 0.988 0.989 0.990Cga 0.985 0.985 0.985 0.985 0.985 0.985 0.985Cgg 0.999 0.999 0.999 0.999 0.999 0.999 0.999

C 0.965 0.953 0. 942 0.937 0.934 0.926 0.903Cnm 1.208 1.186 1.168 1.158 1.152 1.139 1.082

197Au Cns 0.922 0.928 0.931 0.934 0.936 0.938 0.964Cga 0.867 0.867 0. 867 0.867 0.867 0.867 0.867Cgg 0.999 0.999 0.999 0.999 0.999 0.999 0.999

- 56 -

4

(C^-Te tfc, ^EroS'JS^mSr J ENDL-3 . 2^!?®{i|i4>fi_u;^coSl|^i5-i8) tik$iLT®3 0£.tf@3 1 tilT, OT£<o£§£(C

-oVTWL<iE^5„

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143 N d coS$®rB9itt^4 %OfSST*^6tLyt. {& L. 7-1 3 k e

^r-SKlM^fr^ofCo@3 0^6^^5Z 9(C. Nakajima^OtJ^g^MiB'IIIOS'J^^JK-ifcLTV^. M

usgrove^15)£.l/Bokhovko^16)(9M^;g£4-®cD3±m&ifc&-r$ , 2 0-4 0 k e VO#% T*t4^?kDS.<-i$cLTV^^% 5 0-7 0 k e «k 9 1 0-2 0%/h£ V = 2 0 —7 0 k e i:, 9

J ENDL-3. 2 0#mm&4'im^#J^m^lt^i-5 2: . 1 0~5 6 0 k e v <D±m®.v &< -iicLTV'5 tn*.Z>a

4 . 2 145N d

*t4%0#mT#6^A:. {It, 143NdOS -6-irlW^K, 7-1 3 k e VOAM^t^^A^-^Tht S Ntis^S^ofcfcib, r-fM

m 3 1 <L 9 K, J-OS'J^^^^^-^^iAV^Bokhovko^OS'J^^16> tifcfS-fS k , fcb<Dm<Vjj&2 0-3 0%@g/j\^k\ £fz. Hockenbury^181 S.U'Musgrove^151 (OWl^M t ittfc-fS k , Bokhovko^coS-B k IhI^kK ,H2 0-3 0%/J'SV'o Nakajima^F<D}giJj£^17) kSk&'fZk , 7 5 k e VtD^Srl&V'T, & b k & < — ifc LT V'5 .

JENDL-3. 2 <D&mm.k'$W\<D&^ftim.-tZ> k > J ENDL-3. 2 ©JFHBHItt 4 0 — 7 0 k e V©f|JffiT»44®Oj|SSi: A< —lfeDTV'5^^ 3 0 k e V«t D 1 0-2 0%/J'£ < \ 5 6 0 k e VT-fi^2 0%*# < ftoTV'5.

- 57 -

me xwftx-nbtitz’ptemmmfcfomffim (mb)

Ed(keV) 143Nd 145Nd

20 (1 4-25) 375 + 1 5 776 + 2730 (26-34) 290 + 1 1 568 + 2040 (35-45) 233 + 9 475 + 1750 (46-54) 207 + 8 399 + 1460 (55-65) 186 + 7 363 + 1372 (66-78) 172 + 7 311 ± 12

55 5 ± 5 0 94+4 104± 4

- 58 -

Cro

ss S

ectio

n [ba

rn]

PresentNakajima('78)Musgrove('78)Bokhovko('85)JENDL3.2

Neutron Energy [keV]

@ 3 0 143 N d ^Is] t J ENDL-3. 2 <DWffimt(Dik$l0

59 -

a r

ap n

s^

Z SI D oo r —

Cross sections [barn]

CDcI—t- -1o3

m3CD—i

CQ

CD<

Oi

V ho

O

oo

ooo

oo

1----------- 1------ 1—I—1—1 ”1 I H--- ;—i riii

<3()W

mzo

OJ

So

ooCD=3CTC

<5

<

ro ^ ° c5 CZ)

<7TO

o<CD

' i

_ 00 ~-J

. i CJ31 11_ _ _ _ _ u

oi—i—r-i rr

Present ;

Nakajim

a('78) -

5 £lft

«fc o T ft b Sr * t #> Z t SkT<omz * $.

a 143N d £.tf145N d <0 2#«{£oV'T, 1 0 — 5 6 0 k e V<0#^E(:*v'T. 4 %<omgT-Mu/t„

b mfi-zmmfcr-tRin endl-3 . 2<oMm^!t##WL/t. J ENDL-3 . 2T*tt, 143N d K:oV'TttAV'»fliaSfTfcJxTV'5*S %145N d #?#^tuTdS i) „ 4 0-7 0 k e V(0@%Ttt&VMffflifc*oTV'Si&s% 3 0 k e V^T*m 1 0 — 2 0%cOjg/Mffffi% 5 6 0 k e V

-et4^)2 0 %<Oi&*Mbte'iX^ZZbftWb& o 7c „

- 61

1) G. Zeisel: Acta. Phys. Austr. , 23, 5223 (1966).

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