48-Cd- 0
48-CD- 0 JNDC EVAL-MAR89 JNDC FP ND W.G., N.YAMAMURO
DIST-OCT89 REV2-DEC93
----JENDL-3.2 MATERIAL 4800
-----INCIDENT NEUTRON DATA
------ENDF-6 FORMAT
HISTORY
89-03 EVALUATION OF CD ISOTOPES FOR JENDL-3 WAS MADE BY JNDC FP
NUCLEAR DATA W.G./1/, AND DATA FOR NATURAL CD WERE
CONSTRUCTED FROM THEM BY T.NAKAGAWA(JAERI).
89-03 PHOTON PRODUCTION DATA WERE CALCULATED BY N.YAMAMURO (DATA
ENGINEERING)
93-12 JENDL-3.2
GAMMA-RAY PRODUCTION DATA : BY S. IGARASI (NDEAC)
RESONANCE PARAMETERS: BY Y. NAKAJIMA, T.NAKAGAWA(JAERI)
COMPILED BY T.NAKAGAWA (NDI/JAERI)
***** MODIFIED PARTS FOR JENDL-3.2 ********************
(2,151): SCATTERING RADIUS OF EACH ISOTOPE
RESOLVED RESONANCE PARAMETERS OF CD-110, -111
UPPER BOUNDARY ENERGY OF CD-111
UNRESOLVED RESONANCE PARAMETERS
(3,2), (3,3), (3,4), (3,51), (3,53-60), (3,63-64),
(3,66), (3,78-81), (3,83), (3,91), (3,102), (3,103),
(3,106), (3,111):
EFFECTS OF MODIFICATION OF CD-111 DATA, AND
MODIFICATIONS MADE TO ISOTOPE DATA AFTER
COMPILATION OF NATURAL CD DATA FOR JENDL-3.1.
(5,16-91): SUMMED UP INTO A SINGLE TABLE OF DISTRIBUTIONS.
(12,102), (15,102): BELOW 100 KEV.
***********************************************************
MF = 1 GENERAL INFORMATION
MT=451 COMMENTS AND DICTIONARY
MF = 2 RESONANCE PARAMETERS
MT=151 RESOLVED AND UNRESOLVED RESONANCE PARAMETERS
RESOLVED RESONANCE REGION (MLBW FORMULA)
EVALUATION WAS MADE ON THE BASIS OF THE FOLLOWING DATA FOR
EACH ISOTOPE.
CD-106 : BELOW 0.7 KEV
MUGHABGHAB ET AL./2/
ASSUMED CAPTURE WIDTH = 0.153 EV
CD-108 : BELOW 0.38 KEV
ANUFRIEV ET AL./3/
ASSUMED CAPTURE WIDTH = 0.110 EV
CD-110 : BELOW 7.0 KEV
LIOU ET AL./4/, MUSGROVE ET AL./5/, ALFIMENKOV
ET AL./6/.
ASSUMED CAPTURE WIDTH = 0.102 EV
CD-111 : BELOW 1.8 KEV
LIOU ET AL./4/, WASSON AND ALLEN/7/
ASSUMED CAPTURE WIDTH = 0.102 EV
CD-112 : BELOW 7.0 KEV
LIOU ET AL./4/, MUSGROVE ET AL./5/.
ASSUMED CAPTURE WIDTH = 0.1 EV/4/ BELOW 2.0 KEV, AND
0.077 EV ABOVE 2.0 KEV FOR S-WAVE RES.
0.096 EV/5/ FOR P-WAVE RES.
CD-113 : BELOW 2.0 KEV
LIOU ET AL./4/.
ASSUMED CAPTURE WIDTH = 0.101 EV/4/
CD-114 : BELOW 8.0 KEV
LIOU ET AL./1/, MUSGROVE ET AL./5/.
ASSUMED CAPTURE WIDTH = 0.11 EV /4/ BELOW 2.0 KEV, AND
0.053 EV ABOVE 2.0 KEV FOR S-WAVE RES.
0.082 EV/5/ FOR P-WAVE RES.
CD-116 : BELOW 9.0 KEV
LIOU ET AL./4/, MUSGROVE ET AL./5/.
ASSUMED CAPTURE WIDTH = 0.047 EV FOR S-WAVE RES. AND
0.085 EV FOR P-WAVE RES/5/.
IN ORDER TO REPRODUCE WELL MEASURED TOTAL CROSS SECTIONS,
EFFECTIVE SCATTERING RADIUS OF 6.2 FM WAS ASSUMED FOR THE ALL
ISOTOPES.
UNRESOLVED RESONANCE REGION : UP TO 100 KEV
THE NEUTRON STRENGTH FUNCTIONS FOR L=0 AND 1 WERE TAKEN FROM
MUGHABGHAB ET AL./2/, AND THOSE FOR L=2 WERE CALCULATED WITH
OPTICAL MODEL CODE CASTHY/8/. AVERAGE RADIATIVE CAPTURE
WIDTHS WERE ALSO TAKEN FROM REF./2/. THE OBSERVED LEVEL
SPACINGS WERE DETERMINED TO REPRODUCE THE CAPTURE CROSS
SECTIONS CALCULATED WITH CASTHY FOR CD-110, CD-112, CD-113,
CD-114 AND CD-116, AND THE CAPTURE CROSS SECTIONS DETERMINED
FROM EXPERIMENTAL DATA FOR THE OTHER ISOTOPES. THE EFFECTIVE
SCATTERING RADIUS WAS OBTAINED FROM FITTING TO THE CALCULATED
TOTAL CROSS SECTION AT 100 KEV. FINALLY, BACKGROUND CROSS
SECTION WAS GIVEN TO THE CAPTURE TO REPRODUCE THE
EXPERIMENTAL DATA/9,10/
UNRESOLVED RESONANCE PARAMETERS (AT 70 KEV)
GG(S,D) GG(P) D-OBS R
NUCLIDE S0 S1 S2 (EV) (EV) (EV) (FM)
CD-106 1.00E-4 5.00E-4 0.97E-4 0.155 0.175 131 4.70
CD-108 1.20E-4 4.80E-4 0.95E-4 0.105 0.125 147 4.59
CD-110 0.44E-4 3.00E-4 0.93E-4 0.071 0.080 155 6.25
CD-111 0.45E-4 3.90E-4 0.53E-4 0.160 0.160 15.8 5.76
CD-112 0.50E-4 4.40E-4 0.91E-4 0.077 0.090 212 5.44
CD-113 0.31E-4 2.20E-4 0.90E-4 0.160 0.160 27.4 6.74
CD-114 0.64E-4 3.50E-4 0.89E-4 0.053 0.070 250 5.80
CD-116 0.16E-4 2.80E-4 0.87E-4 0.047 0.070 432 6.49
CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)
2200 M/S RES. INTEG.
TOTAL 2535.9 -
ELASTIC 7.649 -
CAPTURE 2528.2 67.9
MF = 3 NEUTRON CROSS SECTIONS
BELOW 100 KEV, RESONANCE PARAMETERS WERE GIVEN.
ABOVE 100 KEV, THE SPHERICAL OPTICAL AND STATISTICAL MODEL
CALCULATION WAS PERFORMED WITH CASTHY/8/, BY TAKING ACCOUNT OF
COMPETING REACTIONS, OF WHICH CROSS SECTIONS WERE CALCULATED
WITH PEGASUS/11/ STANDING ON A PREEQUILIBRIUM AND MULTI-STEP
EVAPORATION MODEL. THE OMP'S FOR NEUTRON GIVEN IN TABLE 1 WERE
DETERMINED TO REPRODUCE THE CD-111 TOTAL CROSS SECTION. THE
OMP'S FOR CHARGED PARTICLES ARE AS FOLLOWS:
PROTON = PEREY/12/
ALPHA = HUIZENGA AND IGO/13/
DEUTERON = LOHR AND HAEBERLI/14/
HELIUM-3 AND TRITON = BECCHETTI AND GREENLEES/15/
PARAMETERS FOR THE COMPOSITE LEVEL DENSITY FORMULA OF GIRBERT
AND CAMERON/16/ WERE EVALUATED BY IIJIMA ET AL./17/. MORE
EXTENSIVE DETERMINATION AND MODIFICATION WERE MADE IN THE
PRESENT WORK. TABLE 2 SHOWS THE LEVEL DENSITY PARAMETERS USED
IN THE PRESENT CALCULATION. ENERGY DEPENDENCE OF SPIN CUT-OFF
PARAMETER IN THE ENERGY RANGE BELOW E-JOINT IS DUE TO GRUPPELAAR
/18/.
MT = 1 TOTAL
SPHERICAL OPTICAL MODEL CALCULATION WAS ADOPTED. IN THE
ENERGY REGION FROM 100 KEV TO 2.5 MEV, CROSS SECTION WAS
DETERMINED FROM THE DATA MEASURED BY WHALEN ET AL./19/, GREEN
ET AL./20/ AND POENITZ AND WHALEN/21/.
MT = 2 ELASTIC SCATTERING
CALCULATED AS (TOTAL - SUM OF PARTIAL CROSS SECTIONS).
MT = 3 NON-ELASTIC SCATTERING
SUM OF PARTIAL CROSS SECTIONS EXCEPT MT=2.
MT = 4, 51 - 91 INELASTIC SCATTERING
SPHERICAL OPTICAL AND STATISTICAL MODEL CALCULATION WAS
ADOPTED. THE LEVEL SCHEMES WERE TAKEN FROM REF./22/ FOR
CD-106 AND 108, REF./23/ FOR CD-110, 111, 112 1ND 113, AND
REF./24/ FOR CD-114 AND 116. THE DIRECT CROSS SECTION WAS
CALCULATED WITH DWUCK-4/25/ TO 2+ AND 3- LEVELS OF EVEN-MASS
ISOTOPES WHICH ARE MARKED WITH '*' IN THE FOLLOWING TABLE.
THE CROSS SECTIONS WERE GROUPED AS FOLLOWS:
MT -Q(MEV) 106 108 110 111 112 113 114 116
51 -0.2454 - - - 51 - 51 - -
52 -0.2986 - - - - - 52,53 - -
53 -0.3419 - - - 52,53 - - - -
54 -0.4166 - - - 54 - 54,55 - -
55 -0.5131 - - - - - 56 - 51*
56 -0.5583 - - - - - 57 51* -
57 -0.6174 51* 51* - 55 51* - - -
58 -0.6577 - - 51* 56 - 58,59 - -
59 -0.754 - - - 57 - - - -
60 -0.8553 - - - 58 - 60 - -
61 -0.8836 - - - - - 61 - -
62 -0.9884 - - - - - 62,63 - -
63 -1.02 - - - 59 - - - -
64 -1.1261 - - - 60 - 64 - -
65 -1.1342 - - - - - - 52 -
66 -1.19 - - - 61 - 65 - -
67 -1.2093 - - - - - - 53 52,53
68 -1.223 - - - - 52 - - -
69 -1.283 - - - - - - 54 54
70 -1.3052 - - - - 53 - 55 -
71 -1.361 - - - - - - - 55
72 -1.3639 - - - - 54 - 56 -
73 -1.4317 - - - - 55,56 - - -
74 -1.4732 52 52 52,53 - - - - -
75 -1.5424 53 53,54 54 - - - - -
76 -1.7318 - - 55 - - - 57,58 -
77 -1.7833 - - 56,57 - - - - -
78 -1.971 - 55,56 - - 57 - - -
79 -1.971 - - 58 - 58*,59 - - -
80 -2.0788 54 - 59*,60 - - - - -
81 -2.1627 - 57,58* 61 - - - - -
82 -2.22 55-57 59 62 - - - - -
83 -2.355 58* 60 63 - - - - -
84 -2.4641 59-61 61 64,65 - - - - -
85 -2.538 - 62 66 - - - - -
86 -2.5612 - 63-69 67 - - - - -
87 -2.7864 - 70 68 - - - - -
88 -2.868 - - 69,70 - - - - -
89 -2.9266 - 71-77 71 - - - - -
91 -1.1948 91 91 91 91 91 91 91 91
MT = 102 CAPTURE
SPHERICAL OPTICAL AND STATISTICAL MODEL CALCULATION WITH
CASTHY/8/ WAS ADOPTED. DIRECT AND SEMI-DIRECT CAPTURE CROSS
SECTIONS WERE ESTIMATED ACCORDING TO THE PROCEDURE OF BENZI
AND REFFO/26/ AND NORMALIZED TO 1 MILLI-BARN AT 14 MEV.
THE GAMMA-RAY STRENGTH FUNCTIONS WERE ADJUSTED TO REPRODUCE
THE FOLLOWING CAPTURE CROSS SECTIONS.
NUCLIDE CROSS SECTION(B) STRENGTH FUNCTION
CD-106 0.34 AT 70 KEV 14.2E-4
CD-108 0.23 AT 70 KEV 8.63E-4
CD-110 0.245 AT 30 KEV 4.65E-4
CD-111 0.664 AT 90 KEV 103.2E-4
CD-112 0.22 AT 30 KEV 4.04E-4
CD-113 0.72 AT 30 KEV 46.5E-4
CD-114 0.15 AT 30 KEV 2.50E-4
CD-116 0.09 AT 30 KEV 1.35E-4
AT THE ENERGIES BELOW 10 MEV, THE CROSS SECTION WAS MODIFIED
TO WELL REPRODUCE THE DATA MEASURED BY KOMPE/9/ AND POENITZ
/10/, BY ADOPTING BACKGROUND DATA IN THE UNRESOLVED RESONANCE
REGION AND MULTIPLING AN ENERGY DEPENDENT FACTOR ABOVE 100
KEV.
Q-VALUE WAS SET TO 7.233 MEV OBTAINED BY WEIGHTING AVERAGE.
MT = 16, 17, 22, 28, 32, 103, 104, 105, 106, 107, 111
(N,2N), (N,3N), (N,N'A), (N,N'P), (N,N'D), (N,P), (N,D),
(N,T), (N,HE3), (N,ALPHA) AND (N,2P) CROSS SECTIONS
THESE REACTION CROSS SECTIONS WERE CALCULATED WITH THE PRE-
EQUILIBRIUM AND MULTI-STEP EVAPORATION MODEL CODE PEGASUS
/11/. THE KALBACH'S CONSTANTS WERE ESTIMATED BY THE FORMULA
DERIVED FROM KIKUCHI-KAWAI'S FORMALISM/27/ AND LEVEL DENSITY
PARAMETERS. THE (N,2N), (N,P) AND (N,ALPHA) CROSS SECTIONS
WERE NORMALIZED TO THE FOLLOWING VALUES(MB) AT 14.5 MEV:
NUCLIDE (N,2N)/28/ (N,P)/29/ (N,ALPHA)/29/
CD-106 900 (A) 100
CD-108 1000 57.6 12.1
CD-110 1170(B) 29.7 6.34
CD-111 (1582) 50 4.52
CD-112 (1583) 16 3.1
CD-113 (1632) 10.9 2.23
CD-114 (1631) 10 0.7
CD-116 (1632) 2.5 (0.108)
VALUES IN ( ) WERE CALCULATED ONES (NOT NORMALIZED).
(A) EYE-GUIDING OF DATA MEASURED BY BORMANN ET AL./30/
(B) SYSTEMATICS OF WEN DEN LU ET AL./31/
MT = 251 MU-BAR
CALCULATED FROM (MF=4, MT=2).
MF = 4 ANGULAR DISTRIBUTIONS OF SECONDARY NEUTRONS
DISTRIBUTIONS OF ELASTIC AND INELASTIC SCATTERING NEUTRONS WERE
CALCULATED WITH CASTHY/8/. IN THE CASE WHERE MORE THAN 2
LEVELS WERE GROUPED INTO 1 LEVEL, ISOTROPIC DISTRIBUTIONS IN THE
CENTER-OF-MASS SYSTEM WERE ASSUMED. FOR OTHER REACTIONS,
ISOTROPIC DISTRIBUTIONS IN THE LABORATORY SYSTEM WERE ASSUMED.
MF = 5 ENERGY DISTRIBUTIONS OF SECONDARY NEUTRONS
ENERGY DISTRIBUTIONS OF SECONDARY NEUTRONS WERE CALCULATED WITH
PEGASUS/11/ FOR INELASTIC SCATTERING FROM OVERLAPPING LEVELS
AND FOR OTHER NEUTRON EMITTING REACTIONS.
MF = 12 PHOTON PRODUCTION MULTIPLICITIES
MT = 3 (ABOVE 100 KEV)
CALCULATED WITH GNASH/32/ MODIFIED BY YAMAMURO/33/
MT = 102 (BELOW 100 KEV)
CALCULATED FROM ENERGY BALANCE.
MF = 14 PHOTON ANGULAR DISTRIBUTIONS
MT = 3, 102
ISOTROPIC DISTRIBUTIONS WERE ASSUMED.
MF = 15 PHOTON ENERGY DISTRIBUTIONS
MT = 3 (ABOVE 100KEV)
CALCULATED WITH GNASH/32/ MODIFIED BY YAMAMURO/33/
MT = 102 (BELOW 100 KEV)
SPECTRA WERE CALCULATED WITH CASTHY FOR 8 ISOTOPES, REFERRING
TO THE COMPILATION OF GAMMA-RAY SPECTRA FOR THERMAL NEUTRON
BY M.A.LONE ET AL./34/, AT 1.0E-5, 2.53E-2, 1.0E+0, 1.0E+2,
1.0E+3 AND 1.0E+4 EV. PRIMARY TRANSITIONS WERE TAKEN INTO
ACCOUNT FOR CD-111, CD-112, CD-113, CD-114 AND CD-116.
TABLE 1 NEUTRON OPTICAL POTENTIAL PARAMETERS
DEPTH (MEV) RADIUS(FM) DIFFUSENESS(FM)
---------------------- ------------ ---------------
V = 50.01-0.5528E R0 = 5.972 A0 = 0.56
WS = 8.165 RS = 6.594 AS = 0.44
WSO= 5.261 RSO= 5.97 ASO= 0.267
TABLE 2 LEVEL DENSITY PARAMETERS OF CD ISOTOPES
NUCLIDE SYST A(/MEV) T(MEV) C(/MEV) EX(MEV) PAIRING
---------------------------------------------------------------
48-CD-104 * 1.643E+01 6.403E-01 3.532E-01 7.266E+00 2.650E+00
48-CD-105 1.600E+01 6.850E-01 4.000E+00 6.612E+00 1.360E+00
48-CD-106 1.468E+01 6.950E-01 5.785E-01 7.078E+00 2.300E+00
48-CD-107 1.647E+01 6.740E-01 4.374E+00 6.626E+00 1.360E+00
48-CD-108 1.541E+01 6.900E-01 5.114E-01 7.655E+00 2.600E+00
48-CD-109 1.812E+01 6.120E-01 3.856E+00 6.132E+00 1.360E+00
48-CD-110 1.750E+01 6.300E-01 5.212E-01 7.482E+00 2.610E+00
48-CD-111 1.874E+01 5.930E-01 3.762E+00 6.000E+00 1.360E+00
48-CD-112 1.797E+01 6.190E-01 6.327E-01 7.351E+00 2.500E+00
48-CD-113 1.973E+01 5.760E-01 4.397E+00 6.018E+00 1.360E+00
48-CD-114 1.910E+01 6.010E-01 5.651E-01 7.611E+00 2.680E+00
48-CD-115 2.072E+01 5.570E-01 4.805E+00 5.966E+00 1.360E+00
48-CD-116 1.990E+01 5.750E-01 6.265E-01 7.206E+00 2.510E+00
48-CD-117 2.107E+01 5.620E-01 6.164E+00 6.181E+00 1.360E+00
---------------------------------------------------------------
SYST: * = LDP'S WERE DETERMINED FORM SYSTEMATICS.
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