46-MeV ¹ Å Ò Å] k ù Ò ×M 8 ý ì Å Ò × ú n ÞV R Ë Ò ×ù p § T Ó Þ X ¢ Tm-1698 ý ; c .U 8 ýÇ X Ø ú
n ÞV R Ë ºT mì ÅX ì Ä õ m Í «ã _ Ë Ä Z ØV Ä; c 6 X ¢ ì Å
T
~ x
1 l
x " f@ / < Æ § ~ ½ Ó < Æõ , Â Òí ß 617-716
(2010¸ 2 Z 4 9{ 9 ~ à Î6 £ §, þ j7 á x à º& ñ : r 2010¸ 3 Z 4 22{ 9 ~ à Î6 £ §)
169
Tm(n,γ)
170Tm ì ø Í6 £ x \ @ /ô Ç × æ$ í f ¨ à ºé ß & h ` ¦ 46-MeV + þ A5 Å q l \ ¦ s 6 x # × æ$ í
TOF ~ ½ ÓZ O Ü ¼ Ð, \ -t % ò % i 0.003 eV\ " f 170 eV\ 5 g 8 £ ¤& ñ % i . : r ½ ¨\ " f H 12 > h_ Bi
4Ge
3O
12(BGO) $ 3 F g ^ Ð ½ ¨$ í ) a \ -t f ¨ Ã º Ø ¦ © u Ð
169Tm(n,γ)
170Tm ì ø Í6 £ x Ü ¼ ÐÂ Ò'
¸ H 7 £ ¤ µ 1 Ïy ` ¦ 8 £ ¤& ñ % i ¦, Ø ¦ l © u H × æ$ í Ò q t$ í ³ ð& h Ü ¼ ÐÂ Ò' o 12.7 ± 0.02 m 0 A u
\ [ O u ÷ &% 3 . r « Ñ\ { 9 ÷ & H × æ$ í 5 Å q` ¦ ½ ¨ l 0 AK
10B r « Ñ_
10B(n,αγ)
7Li ì ø Í6 £ x` ¦ s 6
x % i ¦, × æ$ í 5 Å q _ o\ ¦ y r l 0 AK " f × æ$ í 5 Å q × æ ç ß \ BF
3 Ø ¦ l \ ¦ [ O u Ù þ ¡ . % 3 # Q
169
Tm(n,γ)
170Tm ì ø Í6 £ x é ß & h _ 8 £ ¤& ñ õ H s _ z ´+ « >\ _ ô Ç õ [ þ t s & ñ x 9 ¸ ± ú É r J. B.
Wilhelmy _ õ ÷ r s 9 & ñ S X ô Ç z ´+ « > õ u Á ºô Ç ' a > Ð JEFF-3.1_ ¨ î õ ü < q § % i .
y
y _ 8 £ ¤& ñ ) a / B N" î \ -t [ þ t É r ° ú כ[ þ t É r JEFF-3.1 x 9 Mughabghab_ ¨ î ° ú כõ q § % i .
Ù þ
d # Q:
169Tm, × æ$ í , í S \ ì ø Í6 £ x, q ' r ç ß Z O , BGO Ø ¦ l , é ß & h
A Study on the Energy Dependent Neutron Capture Cross-Section and Their Capture Resonances for 169 Tm by Continuum Neutron Flux
from the 46-MeV Linac
Samyol Lee ∗
Department of Radiological Science, Dongseo University, Busan 617-716 (Received 9 February 2010, in final form 22 March 2010)
The neutron capture cross-section of Thulium (
169Tm) has been measured in the energy region from 0.003 eV to 170 eV by the neutron time-of-flight (TOF) method with a 46-MeV electron linear accelerator (linac) of the Research Reactor Institute, Kyoto University (KURRI). An assembly of Bi
4Ge
3O
12(BGO) scintillators, which was composed of 12 pieces of BGO and placed at a distance of 12.7 ± 0.02 m from the neutron source, was employed as a total energy absorption detector for the prompt capture γ-ray measurement from the sample. In order to determine the neutron flux impinging on the capture sample, a plug of
10B powder sample and the
10B(n,αγ) standard cross section were used. The previous experimental data(J. B. WIlhelmy and G. H. E. Sims) and evaluated data in Mughabghab and JEF-3.1 have been compared with the current measurement.
PACS numbers: 24.30.-v
Keywords:
169Tm, Neutron, Capture, TOF, BGO, Cross-section
∗
E-mail: [email protected] -338-
I. " e  ] Ø
Ù þ
½ ¨ ¸\ @ /ô Ç ½ ¨ H B Ä º ´ ú § É r z ´+ « >& h õ [ þ t` ¦ Ð
@
/ Ð ½ ¨÷ & H ì r s . Õ ª × æ \ " f ¸ × æ$ í í S \ é ß
&
h
É r Ù þ ½ ¨ ¸\ ¦ s K H X < B Ä º Ä »6 x ô Ç & ñ Ð× æ _ s
. : r ½ ¨\ " f À Ò ¦ e H
169Tm(n,γ)
170Tm ì ø Í6 £ x
\
@ /ô Ç é ß & h É r keV% ò % i s © _ \ -t \ @ / # Y > Y >
õ [ þ t s Ð ¦ ÷ &# Q e ¦ 3.91 eV Å Ò/ B N" î Â Òì r \ & ñ x 9 ¸
± ú É r J. B. Wilhelmy _ õ x 9 " é ¶ Ð\ ¦ s 6 x ô Ç G.
H. E. Sims x 9 D. J. Juhnke_ õ \ ¦ í < Êô Ç \ P × æ$ í % ò
%
i _ õ [ þ t ë ß > r F ½ + É ÷ r % ò % i \ " f H 8 £ ¤& ñ õ > r F
t · ú § H [1,2]. " f : r ½ ¨_ õ H Ù þ ½ ¨ ¸ > í
ß \ 9 כ ¹ô Ç × æ כ ¹ô Ç X <s ' \ ¦ ] j/ B N > ) a [3]. ¢ ¸ô Ç × æ
$ í
\ @ /ô Ç [ O > Ó ü t _ > í ß \ e # Q" f ¸ × æ כ ¹ô Ç X <s '
)
a . : £ ¤ y & ³F Ö ¸ µ 1 Ïy ½ ¨ ' ÷ & ¦ e H ¦5 Å q 7 £ xd
Ð(FBR: Fast Breeder Reactor)ü < 5 Å q l ½ ¨1 l x Ð(ADSR:
Accelerator Driven System Reactor) _ ¸d [ O > , ` [ O
>
x 9 " é ¶ Ð \ P Ø ¦§ 4 > í ß r 9 כ ¹ô Ç l í X <s ' Ð 6 x
÷
&# Q [4–7]. : £ ¤ y " é ¶ Ð\ " f Ò q t$ í ÷ & H ~ ½ Ó $ í ` l Ó
ü
t % o \ e # Q" f
169Tm _ × æ$ í í S \ é ß & h É r B Ä º × æ כ
¹ô Ç Ó ü t o | ¾ Ó î r X < s . : £ ¤ y
169Tm(n,γ)
170Tm ì ø Í 6
£
x _ \ P × æ$ í í S \ é ß & h É r 104.9 barn Ü ¼ Ð q §& h H¼ #
\
5 Å q ô Ç . ÷ r ë ß m Ä ºÅ ÒÓ ü t o \ e # Q" f ½ Ó$ í ? / Ò\
"
f_ " é ¶ è½ + Ë$ í õ & ñ × æ s- x 9 r-process_ ¸4 S q> í ß \ × æ כ ¹ ô
Ç כ ¹ è Ð+ 6 x ) a [8–10].
169Tm(n,γ)
170Tm ì ø Í6 £ x \ _
K " f ë ß [ þ t # Qt H
170Tm É r 1991¸ \ Carl E. Walter\ _
K " f ] jî ß ) a 1 l x 0 A" é ¶ è 1 l x§ 4 r Û ¼% 7 ½ ¨\ " f y F g ~ Ã Î ¦ e
H " é ¶ è× æ _ s [11].
0
Aü < ° ú É r s Ä »\ " f & ñ S X ô Ç × æ$ í í S \ X <s ' \ ¦ 8 £ ¤
&
ñ H כ É r B Ä º × æ כ ¹ . Õ ª Q × æ$ í í S \ õ [ þ t
É
r \ P × æ$ í % ò % i \ " f keV \ -t % ò % i \ 5 g" f 8 £ ¤& ñ X
<s ' _ ª õ | 9 s p f ¨ ¦, f 8 £ ¤& ñ ÷ &t 3 l w ô Ç \ - t
½ ¨ç ß ¸ e Ü ¼ 9, 8½ ¨ , 8 £ ¤& ñ _ & ñ x 9 ¸ ¸ ë ß 7 á ¤ Û ¼X O t 3
l
w ô Ç כ s & ³z ´s .
Figure 1 õ Table 1\ " f · p כ õ ° ú s
169Tm \ @ / ô
Ç l > r _ × æ$ í í S \ é ß & h É r \ P × æ$ í í S \ é ß & h ` ¦ ]
jü @ ¦ H 1 eV s © \ " f Ò' 8 £ ¤& ñ ô Ç Wilhelmy [1]_
õ Â Òs ¦ \ P × æ$ í Â Òì r _ G. H. E. Sims x 9 D.
J. Juhnke [2] _ õ e . Wilhelmy_ õ H p ² D G _
ÐÛ ¼· ú ¸Û ¼_ + þ A5 Å q l \ ¦ s 6 x ô Ç õ Ð" f 14p ' _
× æ$ í q ' â Ð\ ¦ s 6 x % i . Õ ª Q Õ ª õ [ þ t É r /
B N" î % ò % i \ " f \ -t ì r K 0 p x s © { © y b # Q4 R ¨ î ) a ° ú כ [
þ
t õ / B N" î \ -t  Òì r \ " f © { © ô Ç s \ ¦ Ðs ¦ e Ü ¼ Ù
¼ Ð s % ò % i \ @ /ô Ç & ñ S X ô Ç 8 £ ¤& ñ s כ ¹½ ¨ ) a . ¢ ¸ô Ç \ P
×
æ$ í í S \ é ß & h É r 104.9 barn [12] Ü ¼ Ð+ © { © y p u \
Fig. 1. The evaluated data of JEF-3.1 and the previous measurement data for the
169Tm(n,γ)
170Tm Reaction.
¸ Ô ¦ ½ ¨ ¦ Õ ª X <s ' _ ª õ | 9 É r p f ¨ . G. H. E.
Sims x 9 D. J. Juhnke_ õ % i r " é ¶ Ð\ " f Ò q t$ í ) a × æ
$ í
\ ¦ s 6 x # × æ$ í í S \ é ß & h ` ¦ 8 £ ¤& ñ ô Ç õ Ð" f q
§& h \ P × æ$ í % ò % i \ " f_ õ H ø @½ + É ë ß / B N
"
î % ò % i \ " f_ õ \ ¦ % 3 t 3 l w % i . ¨ î õ Ð H Å Ò
Ð Ù þ ì r\ P õ Ö 6 x ½ + Ë\ ' aº ) a X <s ' \ ¦ ¨ î H JEFF- 3.1(Joint Evaluated Fission and Fusion File) [12] _ õ
e Ü ¼ : r ½ ¨_ õ & ñ S X ô Ç / B N" î ` ¦ F & ³ ¦ e t
3 l w < Ê` ¦ · ú Ã º e % 3 . y y _ / B N" î \ @ /ô Ç ° ú כ É r Mughabghab [13] ] jr ô Ç ¨ î ° ú כs e ` ¦ ÷ r s .
"
f
169Tm \ @ /ô Ç & ñ S X ô Ç × æ$ í í S \ é ß & h É r # Q t s
Ä »\ " f ] X z ´y כ ¹½ ¨÷ & ¦ e H © S ! s .
0
Aü < ° ú É r s Ä »\ " f : r ½ ¨ H { 9 : r § Ð@ / < Æ " é ¶ Ð z
´+ « > è_ y © § 4 ô Ç ` O Û ¼ + þ AI _ 46-MeV + þ A 5
Å
q l Ð 5 Å q ) a \ ¦ s 6 x # Ta³ ð& h Ü ¼ ÐÂ Ò' _ F g Ù þ
ì ø Í6 £ x` ¦ { 9 Ü ¼& µ 1 ÏÒ q t ) a × æ$ í \ ¦ s 6 x K , × æ$ í q '
r ç ß (Time-of-flight)Z O x 9 \ -t f ¨ Ã º+ þ A 12> h_ BGO(Bi
4Ge
3O
12) $ 3 F g Ø ¦ l Ð, \ -t % ò % i 0.003 ∼ 170 eV \ s Ø Ô H × æ$ í \ @ /ô Ç
169Tm _ × æ$ í í S \ é ß
& h ` ¦ 8 £ ¤& ñ % i . r « Ñ\ { 9 ÷ & H × æ$ í 5 Å q` ¦ 8 £ ¤
&
ñ l 0 AK " f
10B _
10B(n,αγ) ì ø Í6 £ x` ¦ s 6 x % i . : £ ¤ y
, 1 eV s \ " f_ × æ$ í í S \ é ß & h É r \ P × æ$ í í S \ é
ß & h ` ¦ ] jü @ ¦ H : r ½ ¨\ " f % 6 £ § Ü ¼ Ð 8 £ ¤& ñ ` ¦ r
¸ % i .
: r ½ ¨\ " f % 3 # Q õ H l > r _ J. B Wilhelmy et al. [1] _ 8 £ ¤& ñ õ x 9 ¨ î ° ú כ[ þ t õ q § % i . ÷ r ë ß m
, % 3 # Q õ H 0 A\ " f / å L ô Ç # Q ì r \ " f Ä »6 x
> 6 x ÷ &# Q| 9 כ Ü ¼ Ð l @ /÷ & 9, : £ ¤ y × æ$ í í S \ é ß
& h ` ¦ 8 £ ¤& ñ H l Õ ü t õ K $ 3 ~ ½ ÓZ O É r Ù þ Ó ü t o < Æõ " é ¶
§ 4
/ B N < Æ ì r _ í S \ é ß & h 8 £ ¤& ñ \ כ ¹| > s 6 x| ¨ c כ Ü
¼ Ð l @ / ) a .
Table 1. Experiments in the Previous Thermal Measurements for the
169Tm(n,γ)
170Tm Reaction.
hhh hhh
hhh hhh h Results
Quantity
Year Method Neutron Capture
Cross Section J. B Wilhelmy et al. [1] 2002 TOF method (14 m Flight Path) Resonance Region G. H. E. Sims x 9 D. J. Juhnke [2] 1970 Reactor Activation Thermal region
JEFF-3.1 [12] 1994 Evaluated value 104.9 barn (Thermal)
Fig. 2. Experimental arrangement for the capture cross section measurement.
II. ÷ m Ç] M öX ê sV õ m Í U ê s0 n É
1. 46-MeV ¹ Å Ò Å] k ù Ò ×M õ m Í ß e È û s ÚM
: r ½ ¨ H § Ð@ / < Æ" é ¶ Ðz ´+ « > è(KURRI: Kyoto University Research Reactor Institute) _ 46-MeV
+ þ A5 Å q l (Linac) ü < \ -t f ¨ Ã º Ø ¦ l
BGO(B
4G
3O
12) $ 3 F g Ø ¦ l \ ¦ s 6 x # × æ$ í TOF(Time-of-Flight) ~ ½ ÓZ O Ü ¼ Ð 8 £ ¤& ñ % i . ^ & h z
´+ « >C u ¸\ ¦ Fig. 2 \ ? /% 3 ¦, z ´+ « >\ 6 x ÷ &# Q
× æ$ í q ' â Ð H KURRI + þ A5 Å q l _ c
\ @ / # 135
◦_ y ¸ Ð [ O u ÷ &% 3 . Ta × æ$ í Ò q t
$ í
³ ð& h © u ÐÂ Ò' µ 1 ÏÒ q t ) a × æ$ í 5 Å q(neutron flux) É r
×
æ$ í Ò q t$ í ³ ð& h © u ÐÂ Ò' 12.7 ± 0.02 m b # Q 0 A u
\ [ O u ÷ &# Q e H r « Ñ\ { 9 > ) a . BGO Ø ¦ l
H Hitachi Chemical Industry \ _ K " f ] j ) a 5 × 5 × 7.5 cm
3ß ¼l _ $ 3 F g# 4 [ t 12 > h Ð ½ ¨$ í ÷ &# Q e .
r
« Ñ\ { 9 ÷ & H × æ$ í 5 Å q` ¦ ½ ¨ l 0 AK
10B r « Ñ _
10B(n,αγ)
7Li ì ø Í6 £ x` ¦ s 6 x % i ¦, × æ$ í 5 Å q _
o\ ¦ y r l 0 AK " f × æ$ í 5 Å q × æ ç ß \ BF
3 Ø ¦ l
\
¦ [ O u Ù þ ¡ . z ´+ « >~ ½ ÓZ O x 9 © u \ @ /ô Ç © [ jô Ç ? /6 x É r
: r ½ ¨\ " f · ú ¡" f
181Ta(n,γ) ì ø Í6 £ x \ @ /ô Ç Ð ¦ô Ç 7 Hë H \
Ð ¦÷ &% 3 [14]. + þ A5 Å q l _ ¸| õ TD(Time Digitizer) _ ¸| É r Table 2 \ ? /% 3 .
Table 2. Details of the measuring conditions in the cur- rent experiment.
Electron energy 30 MeV Linear accelerator Pulse width 3 µsec
condition Repetition rate 50 Hz Peak current 500 mA Time digitizer of Time / channel 4 µs/ch time-of-flight Full channel number 4096 ch
Table 3. Physical parameters of the samples used in the current experiment.
Sample
169Tm
10B
∗Physical form Metal plate Metal powder Chemical purity(%) 99.9 99.999 Isotopic composition (%) Natural 96.98
Weight of sample(g) 3.2 2.92 Thickness of sample(cm) 1.064 0.8
(Atoms/kb) 3.5 52.42
Size of sample (cm
3) 1.8 × 1.8 1.8 × 1.8
∗ 10
B _ F K5 Å qì r ´ ú É r 0.1 mm ¿ ºa _ AlF K5 Å q ó ø ÍÜ ¼ Ð ë ß [ þ t # Q
© \ [ þ t # Qe .
∗ 10
B:96.98 %,
11B:3.02 %
2. ¤X N ËS z »
×
æ$ í í S \ z ´+ « >\ 6 x ÷ &# Q r « Ñ_ ] j" é ¶ É r Table 3 \ ? /% 3 .
169Tm _ r « Ñ H ¿ ºa 1.064 mm_ F K5 Å q ó
ø ÍÜ ¼ Ð s À Ò# Q& . r « Ñ_ ¿ ºa H a % ~ É r ñ/¸ ú 6 £ § q
\
¦ % 3 ¦, r « Ñ ? /\ " f_ { 9 × æ$ í _ \ -t \ _ > r
H × æ$ í l ` ´ òõ x 9 × æ í ß ê ø Í´ òõ \ ¦ ¦ 9ô Ç כ s
. F K5 Å qì r ´ ú + þ AI _
10B É r \ -t _ > r × æ$ í 5 Å q` ¦ 8
£ ¤& ñ l 0 AK " f 6 x ÷ &% 3 ¦, ¿ ºa 0.1 mm_ Al F K5 Å q ó ø Í Ü
¼ Ð ë ß [ þ t # Q © 5 Å q \ V , % 3 . s r « Ñ[ þ t É r BGO$ 3 F
g Ø ¦ l _ × æd  Òì r \ [ O u % i .
III. ÷ m Ç] M ö z » Ä Z ØV Ä U ê s0 n É
1. ø m É ú n ÞV R Ë Ò Å Ò × õ m Í ºT mì ÅX ì Ä 4 m
: r ½ ¨\ " f H r « Ñ\ { 9 ÷ & H × æ$ í 5 Å q` ¦ ½ ¨ l 0
AK " f
10B(n,αγ) ì ø Í6 £ x` ¦ s 6 x % i . s ì ø Í6 £ x É r { 9 × æ
$ í
_ \ -t \ ' a > \ O s 478 keV_ é ß { 9 y ` ¦ ~ ½ Ó Ø
¦ l M :ë H \ Ø æì r y ¿ º î r r « Ñ\ @ /K " f H { 9 ÷ & H
¸ H × æ$ í \ ¦ f ¨ Ã º > ÷ & ¦ µ 1 ÏÒ q t ) a é ß { 9 y ` ¦ ¸
¿
º 8 £ ¤& ñ > ÷ & { 9 ÷ & H ¸ H × æ$ í \ -t \ @ /
#
× æ$ í _ Ø ¦ ´ òÖ ¦ É r { 9 & ñ ¦ ^ ¦ Ã º e . " f y
Ø ¦ ´ òÖ ¦ É r 1 s ÷ & 9, × æ$ í í S \ Ã º Y
B(E) H 1 s ) a . C
B(E)` ¦
10B r « Ñ\ _ ô Ç × æ$ í í S \ Ö ¦ Ð
³
ðr , e _ _ × æ$ í \ -t \ " f_ { 9 × æ$ í 5 Å q φ(E) É r Ø ¦ ´ òÖ ¦ ε
B\ ¦ s 6 x # 6 £ § õ ° ú s ³ ð & ³ ½ + É Ã º e
.
φ(E) = C
B(E)/ε
B/Y
B(E) = C
B(E)/ε
B(1) s
M : µ 1 ÏÒ q t ) a y É r
10B r « Ñ ? /\ " f ` ´ òõ )
\ O
H כ É r m t ë ß : r ½ ¨\ " f H Á ºr K ¸ 0 p x ½ + É & ñ
¸ Ð B Ä º . Ó ü t| 9 õ _ © ñ 6 x s { 9 # Q 8 ¸ 478 keV y _ â Ä º Å Ò Ð ( á Ô í ß ê ø Ís { 9 # Q > ÷ & ¦ s
כ
É r BGO Ø ¦ l \ " f 8 £ ¤& ñ > ) a .
: r ½ ¨\ " f 6 x ÷ &# Q BGO Ø ¦ © u H \ -t f
¨ Ã º Ø ¦ © u s Ù ¼ Ð y Ø ¦ ´ òÖ ¦ ε
B H 1 s ) a .
" f d (1) É r A ü < ° ú s ³ ð & ³ | ¨ c à º e . 7 £ ¤
10B _
×
æ$ í í S \ \ " f _ K " f % 3 # Q í S \ Ò ¦ s r « Ñ\ { 9 ÷ &
H × æ$ í 5 Å q` ¦ ? /> ) a .
φ(E) = C
B(E) (2) ô
Ǽ # \ -t E\ " f_ × æ$ í í S \ Ö ¦ É r 6 £ § õ ° ú s
è q à º e .
C
S(E) = ε
SY
S(E)φ(E) (3)
#
l \ " f s_ ' H
169Tm r « Ñ\ ¦ _ p ô Ç . × æ$ í í S \
à ºY
S(E) H d (2)ü < (3)` ¦ 6 x # 6 £ § õ ° ú s ³ ð & ³
½
+ É Ã º e .
Y
S(E) = C
S(E)Y
B(E)/C
B(E)/ε
S, (4)
#
l " f C
S(E) ü < C
B(E) H 8 £ ¤& ñ \ _ K " f % 3 # Q | 9 Ã º e
¦, ε
S H : r ½ ¨\ " f H % 3 ` ¦ Ã º \ O Ü ¼Ù ¼ Ð Y
S(E) H { 9
× æ$ í \ @ / # © @ /& h ° ú כÜ ¼ Ð % 3 # Q .
×
æ$ í í S \ é ß & h É r r « Ñ? /\ " f í S \ ÷ & H × æ$ í í S \
à º\ _ K > í ß | ¨ c à º e Ü ¼ 9, × æ$ í í S \ à º H 6 £ § õ
° ú
s è q à º e [15].
Y
S(E) = (1 − exp(−N σ
t(E)t))σ
C(E)f
C/σ
t(E) , (5)
Fig. 3. The correction function for the neutron self- shielding and/or neutron scattering effects in the current cross section measurement.
#
l " f N É r r « Ñ_ " é ¶ x 9 ¸(atomic density)s ¦, σ
t(E) É r × æ$ í é ß & h , t H r « Ñ_ ¿ ºa , σ
C(E) H × æ
$ í
í S \ é ß & h , f
C H r « Ñ ? /\ " f_ × æ$ í × æ í ß ê ø Íõ
l ` ´ òõ \ @ /ô Ç Ð& ñ > Ã ºs 9, > í ß \ _ K " f % 3 # Q
&
. " f d (4)ü < d (5)\ ¦ : x K " f © @ /& h \ -t _
> r × æ$ í í S \ é ß & h σ
C(E)` ¦ % 3 ` ¦ Ã º e . % 3 # Q õ
H JEFF-3.1 [12] _ \ P × æ$ í í S \ é ß & h 104.9 barn\
½
© o % i .
2. | ºX N ËÊ Ý ~ ¾
×
æ$ í í S \ é ß & h 8 £ ¤& ñ \ e # Q" f, r « Ñ ? /\ " f_ é ß { 9
í ß ê ø Í < Ê É r × æ í ß ê ø Í´ òõ H B Ä º × æ כ ¹ . s ´ òõ H r
« Ñ_ Ä »´ ò¿ ºa 7 £ x ½ + ÉÃ º2 ¤ & t 9, { 9 × æ$ í _ ~ ½ Ó
¾ Óõ ¸ ' aº $ í s B Ä º Z } . ÷ r ë ß m r « Ñ_ Ä »´ ò¿ º a
7 £ x × æ$ í _ l ` ´ òõ \ _ K " f r « Ñ _
× æ$ í í S \ Ã º H ´ ú § É r 1 l x` ¦ 4 R ` ¦ Ã º e .
" f × æ$ í í S \ z ´+ « >\ " f H s ´ òõ [ þ t` ¦ 9 y ¦ 9 K
H # Q 9î r & h s e . s ü < ° ú É r ´ òõ \ ¦ ¦ 9 l
0 AK " f d (5)` ¦ Ã ºu & h Ü ¼ Ð ç ß é ß > > í ß l # Q 9 Ä
ºÙ ¼ Ð { 9 ì ø Í& h Ü ¼ Ð ¸ ú · ú 9 Monte-CarloZ O ` ¦ 6 x
¦ e H MCNP > í ß ï× ¼ [16]\ ¦ s 6 x # > í ß % i .
MCNP > í ß õ \ ¦ Fig. 3 \ ? /% 3 . s ï× ¼\ 6
x ô Ç é ß & h É r JEFF-3.1 _ ¨ î u \ ¦ s 6 x # > í ß ` ¦ Ù þ
¡ .
: r ½ ¨\ " f % 3 # Q õ H ¸ \ -t % ò % i \
5 g 0.27\ " f 5.5 %s 9, BGO Ø ¦ © u _
10B r « Ñ ü
<
169Tm r « Ñ_ Ø ¦ ´ òÖ ¦ \ @ /ô Ç ¸ y y 0.5ü <
Table 4. The numerical data of the current measurement for the
169Tm(n,γ)
170Tm reaction.
Energy(eV) Cross Section(barn) Error(barn) Energy(eV) Cross Section(barn) Error(barn)
1 3.460E-03 2.453E+02 4.888E+00 47 4.796E-02 7.799E+01 2.078E-01
2 3.660E-03 2.447E+02 4.516E+00 48 5.079E-02 7.629E+01 2.032E-01
3 3.880E-03 2.415E+02 4.157E+00 49 5.378E-02 7.382E+01 1.981E-01
4 4.110E-03 2.322E+02 3.675E+00 50 5.694E-02 7.188E+01 1.948E-01
5 4.350E-03 2.259E+02 3.300E+00 51 6.028E-02 7.005E+01 1.932E-01
6 4.610E-03 2.221E+02 3.094E+00 52 6.382E-02 6.817E+01 1.890E-01
7 4.880E-03 2.186E+02 2.829E+00 53 6.758E-02 6.624E+01 1.845E-01
8 5.160E-03 2.134E+02 2.547E+00 54 7.156E-02 6.437E+01 1.866E-01
9 5.460E-03 2.131E+02 2.370E+00 55 7.576E-02 6.257E+01 1.860E-01
10 5.790E-03 2.026E+02 2.124E+00 56 8.022E-02 6.049E+01 1.862E-01 11 6.130E-03 1.957E+02 1.938E+00 57 8.494E-02 5.881E+01 1.867E-01 12 6.490E-03 1.909E+02 1.788E+00 58 8.993E-02 5.747E+01 1.909E-01 13 6.870E-03 1.888E+02 1.664E+00 59 9.522E-02 5.556E+01 1.956E-01 14 7.280E-03 1.833E+02 1.523E+00 60 1.008E-01 5.389E+01 1.984E-01 15 7.710E-03 1.787E+02 1.410E+00 61 1.067E-01 5.214E+01 2.046E-01 16 8.160E-03 1.752E+02 1.302E+00 62 1.130E-01 5.052E+01 2.095E-01 17 8.640E-03 1.647E+02 1.168E+00 63 1.197E-01 4.919E+01 2.196E-01 18 9.150E-03 1.624E+02 1.117E+00 64 1.267E-01 4.802E+01 2.336E-01 19 9.690E-03 1.602E+02 1.053E+00 65 1.342E-01 4.626E+01 2.356E-01 20 1.025E-02 1.590E+02 9.889E-01 66 1.421E-01 4.509E+01 2.551E-01 21 1.086E-02 1.535E+02 9.074E-01 67 1.504E-01 4.391E+01 2.678E-01 22 1.149E-02 1.510E+02 8.487E-01 68 1.592E-01 4.267E+01 2.777E-01 23 1.217E-02 1.465E+02 7.862E-01 69 1.686E-01 4.147E+01 2.868E-01 24 1.288E-02 1.435E+02 7.330E-01 70 1.785E-01 4.051E+01 3.137E-01 25 1.364E-02 1.399E+02 6.839E-01 71 1.890E-01 3.980E+01 3.209E-01 26 1.445E-02 1.350E+02 6.378E-01 72 2.001E-01 3.868E+01 3.322E-01 27 1.529E-02 1.309E+02 5.894E-01 73 2.119E-01 3.824E+01 3.438E-01 28 1.619E-02 1.292E+02 5.608E-01 74 2.244E-01 3.753E+01 3.560E-01 29 1.715E-02 1.263E+02 5.280E-01 75 2.376E-01 3.700E+01 3.611E-01 30 1.815E-02 1.228E+02 4.948E-01 76 2.515E-01 3.628E+01 3.686E-01 31 1.922E-02 1.196E+02 4.617E-01 77 2.663E-01 3.560E+01 3.674E-01 32 2.035E-02 1.168E+02 4.328E-01 78 2.820E-01 3.452E+01 3.587E-01 33 2.156E-02 1.126E+02 4.037E-01 79 2.986E-01 3.363E+01 3.488E-01 34 2.282E-02 1.101E+02 3.829E-01 80 3.161E-01 3.333E+01 3.565E-01 35 2.416E-02 1.077E+02 3.610E-01 81 3.347E-01 3.293E+01 3.505E-01 36 2.558E-02 1.044E+02 3.402E-01 82 3.544E-01 3.181E+01 3.521E-01 37 2.709E-02 1.015E+02 3.222E-01 83 3.753E-01 3.114E+01 3.330E-01 38 2.868E-02 9.888E+01 3.057E-01 84 3.973E-01 3.021E+01 3.320E-01 39 3.036E-02 9.689E+01 2.917E-01 85 4.207E-01 2.987E+01 3.425E-01 40 3.215E-02 9.412E+01 2.767E-01 86 4.454E-01 2.910E+01 3.223E-01 41 3.404E-02 9.187E+01 2.641E-01 87 4.716E-01 2.851E+01 3.273E-01 42 3.604E-02 8.974E+01 2.507E-01 88 4.994E-01 2.781E+01 3.215E-01 43 3.816E-02 8.734E+01 2.411E-01 89 5.287E-01 2.837E+01 3.407E-01 44 4.041E-02 8.390E+01 2.305E-01 90 5.598E-01 2.717E+01 3.141E-01 45 4.279E-02 8.224E+01 2.241E-01 91 5.927E-01 2.681E+01 3.211E-01 46 4.530E-02 8.014E+01 2.150E-01 92 6.276E-01 2.617E+01 3.172E-01
0.2 % s . BGO Ø ¦ © u _ Ø ¦ ´ òÖ ¦ \ @ /ô Ç ¸ H
10B(n,α) é ß & h \ @ /ô Ç ¸ 2.4 %\ ¦ í < Ê 8 ú x ¸
Energy(eV) Cross Section(barn) Error(barn) Energy(eV) Cross Section(barn) Error(barn) 93 6.645E-01 2.702E+01 3.181E-01 140 5.827E+00 1.443E+01 3.672E-01 94 7.036E-01 2.614E+01 3.258E-01 141 5.950E+00 1.280E+01 3.372E-01 95 7.449E-01 2.641E+01 3.267E-01 142 6.226E+00 1.141E+01 3.219E-01 96 7.888E-01 2.584E+01 3.184E-01 143 6.470E+00 9.478E+00 2.093E-01 97 8.351E-01 2.612E+01 3.164E-01 144 6.607E+00 8.106E+00 1.932E-01 98 8.842E-01 2.550E+01 3.073E-01 145 6.794E+00 6.800E+00 1.734E-01 99 9.363E-01 2.580E+01 3.263E-01 146 7.083E+00 5.842E+00 1.592E-01 100 9.913E-01 2.580E+01 3.046E-01 147 7.301E+00 5.138E+00 1.521E-01 101 1.050E+00 2.651E+01 3.226E-01 148 7.528E+00 4.723E+00 2.021E-01 102 1.111E+00 2.622E+01 3.205E-01 149 7.957E+00 4.301E+00 1.912E-01 103 1.177E+00 2.656E+01 3.179E-01 150 8.426E+00 4.150E+00 1.850E-01 104 1.246E+00 2.715E+01 3.438E-01 151 8.790E+00 4.010E+00 1.299E-01 105 1.319E+00 2.754E+01 3.196E-01 152 9.026E+00 1.861E+01 2.819E-01 106 1.397E+00 2.868E+01 3.445E-01 153 9.273E+00 4.838E+00 1.026E-01 107 1.479E+00 2.955E+01 3.515E-01 154 9.590E+00 5.379E+00 1.440E-01 108 1.566E+00 3.070E+01 3.524E-01 155 1.005E+01 1.637E+01 2.030E-01 109 1.658E+00 3.232E+01 3.581E-01 156 1.062E+01 1.235E+02 6.407E-01 110 1.755E+00 3.458E+01 3.685E-01 157 1.178E+01 1.087E+01 2.607E-01 111 1.859E+00 3.653E+01 4.112E-01 158 1.251E+01 8.526E+00 2.299E-01 112 1.968E+00 3.994E+01 4.011E-01 159 1.381E+01 9.254E+01 5.954E-01 113 2.084E+00 4.418E+01 4.470E-01 160 1.515E+01 3.343E+01 3.914E-01 114 2.206E+00 4.940E+01 4.466E-01 161 1.590E+01 3.215E+00 8.829E-02 115 2.336E+00 5.746E+01 5.107E-01 162 1.678E+01 2.845E+00 1.390E-01 116 2.473E+00 6.943E+01 5.887E-01 163 1.777E+01 1.022E+01 2.588E-01 117 2.619E+00 8.708E+01 6.784E-01 164 1.881E+01 2.641E+00 9.397E-02 118 2.773E+00 1.080E+02 8.489E-01 165 1.992E+01 2.665E+00 1.305E-01 119 2.936E+00 1.450E+02 1.029E+00 166 2.211E+01 1.644E+01 2.852E-01 120 3.108E+00 2.184E+02 1.303E+00 167 2.365E+01 4.359E+00 1.528E-01 121 3.291E+00 3.093E+02 1.816E+00 168 2.487E+01 2.899E+00 1.297E-01 122 3.485E+00 3.779E+02 3.051E+00 169 2.630E+01 4.329E+01 3.168E-01 123 3.675E+00 5.752E+02 6.179E+00 170 2.807E+01 2.581E+01 2.322E-01 124 3.778E+00 1.452E+03 1.557E+01 171 2.972E+01 3.910E+01 3.470E-01 125 3.823E+00 4.069E+03 4.343E+01 172 3.131E+01 5.077E+01 5.112E-01 126 3.889E+00 8.701E+03 9.279E+01 173 3.251E+01 2.437E+01 1.837E-01 127 3.957E+00 1.131E+04 1.089E+02 174 3.904E+01 3.049E+01 3.374E-01 128 4.026E+00 5.051E+03 3.554E+01 175 4.610E+01 5.474E+01 4.559E-01 129 4.158E+00 1.071E+03 8.926E+00 176 5.312E+01 1.699E+01 1.775E-01 130 4.361E+00 2.936E+02 2.918E+00 177 6.023E+01 2.841E+01 3.267E-01 131 4.500E+00 1.603E+02 1.678E+00 178 6.559E+01 2.663E+01 2.719E-01 132 4.628E+00 1.024E+02 1.041E+00 179 8.005E+01 1.730E+01 2.383E-01 133 4.775E+00 6.803E+01 8.823E-01 180 8.954E+01 2.923E+00 1.161E-01 134 5.006E+00 5.309E+01 8.164E-01 181 9.781E+01 2.393E+01 2.654E-01 135 5.133E+00 4.630E+01 7.431E-01 182 1.137E+02 2.059E+01 2.510E-01 136 5.241E+00 3.252E+01 4.616E-01 183 1.292E+02 1.597E+01 2.252E-01 137 5.358E+00 2.648E+01 5.288E-01 184 1.411E+02 1.017E+01 1.379E-01 138 5.469E+00 2.375E+01 4.731E-01 185 1.580E+02 6.343E+00 1.121E-01 139 5.625E+00 1.819E+01 2.704E-01 186 1.767E+02 1.874E+00 1.039E-01
2.5\ " f 6.1 %\ ¦ ? /% 3 . IV. ¤X N Ë+ s ÇÊ Ý õ m Í + s Ç Â ] Ø
Table 5. Comparison of the resonance energies between the current measurement and Mughabghab evaluated data.
Neutron Resonance Energy of Neutron Resonance Energy of JEFF-3.1
Present Measurement (eV) Mughabghab (eV)
∗(eV)
∗∗1 3.95 3.91 3.91
2 - 5.45 -
3 9.03 8.01 -
4 10.62 10.33 -
5 13.81 14.40 14.40
6 - 16.25 -
7 17.77 17.44 17.44
8 - 20.3 -
9 22.11 23.93 -
∗
: Evaluated data of resonance parameters,
∗∗: Evaluated data of neutron capture cross section.
Fig. 4. Comparison of the previous experimental cross sections and the evaluated cross sections for the
169
Tm(n,γ)
170Tm reaction with the present measure- ment. Where a is thermal neutron energy region, b is 3.9 eV main resonance, c, d, and e are new resonances, f is continuum region.
\ -t f ¨ Ã º+ þ A BGO Ø ¦ © q ü < § Ð@ / < Æ " é ¶ Ðz ´ +
« > è_ + þ A5 Å q l \ ¦ s 6 x ô Ç TOFZ O ` ¦ s 6 x # 0.003 eV \ " f 170 eV % ò % i \ s Ø Ô H
169Tm _ × æ$ í í S \ é ß
&
h
` ¦ 8 £ ¤& ñ % i . Õ ª õ \ ¦ Fig. 4, Table 4 x 9 Table 5\
? /% 3 .
169