48-Cd-113
48-CD-113 JNDC EVAL-MAR90 JNDC FP NUCLEAR DATA W.G.
DIST-SEP90 REV2-AUG93
----JENDL-3.2 MATERIAL 4846
-----INCIDENT NEUTRON DATA
------ENDF-6 FORMAT
HISTORY
84-10 EVALUATION FOR JENDL-2 WAS MADE BY JNDC FPND W.G./1/
90-03 MODIFICATION FOR JENDL-3 WAS MADE/2/.
93-08 JENDL-3.2 WAS MADE BY JNDC FPND W.G.
***** MODIFIED PARTS FOR JENDL-3.2 ********************
(2,151) THE UPPER BOUNDARY OF RESOLVED RESONANCE
REGION WAS CHANGED FROM 2.0 KEV TO 1.0 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) : BELOW 1.0 KEV
FOR JENDL-2, EVALUATION WAS MADE ON THE BASIS OF THE DATA
MEASURED BY LIOU ET AL./3/ THE AVERAGE RADIATION WIDTH OF
0.101 EV/3/ WAS ASSUMED FOR S-WAVE LEVELS. FOR JENDL-3, TOTAL
SPIN J OF SOME RESONANCES WAS TENTATIVELY ESTIMATED WITH A
RANDOM NUMBER METHOD.
UNRESOLVED RESONANCE REGION : 1 KEV - 100 KEV
THE NEUTRON STRENGTH FUNCTIONS, S0 AND S1 WERE BASED ON THE
COMPILATION OF MUGHABGHAB ET AL./4/, AND S2 WAS CALCULATED
WITH OPTICAL MODEL CODE CASTHY/5/. THE OBSERVED LEVEL SPACING
WAS DETERMINED TO REPRODUCE THE CAPTURE CROSS SECTION
CALCULATED WITH CASTHY ABOVE 10 KEV. BELOW 10 KEV, THE SAME
PARAMETERS AS 10 KEV WERE ADOPTED. THE EFFECTIVE SCATTERING
RADIUS WAS OBTAINED FROM FITTING TO THE CALCULATED TOTAL CROSS
SECTION AT 100 KEV. THE RADIATION WIDTH GG WAS BASED ON THE
COMPILATION OF MUGHABGHAB ET AL.
TYPICAL VALUES OF THE PARAMETERS AT 70 KEV:
S0 = 0.310E-4, S1 = 2.200E-4, S2 = 0.900E-4, SG = 58.4E-4,
GG = 0.160 EV, R = 6.739 FM.
CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)
2200 M/S RES. INTEG.
TOTAL 20670 -
ELASTIC 25.47 -
CAPTURE 20650 395
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, BY TAKING ACCOUNT OF
COMPETING REACTIONS, OF WHICH CROSS SECTIONS WERE CALCULATED
WITH PEGASUS/6/ STANDING ON A PREEQUILIBRIUM AND MULTI-STEP
EVAPORATION MODEL. THE OMP'S FOR NEUTRON GIVEN IN TABLE 1 WERE
DETERMINED TO REPRODUCE THE CD-NATURAL TOTAL CROSS SECTIONS
MEASURED BY FOSTER AND GLASGOW/7/, POENITZ AND WHALEN/8/ AND
SO ON. THE OMP'S FOR CHARGED PARTICLES ARE AS FOLLOWS:
PROTON = PEREY/9/
ALPHA = HUIZENGA AND IGO/10/
DEUTERON = LOHR AND HAEBERLI/11/
HELIUM-3 AND TRITON = BECCHETTI AND GREENLEES/12/
PARAMETERS FOR THE COMPOSITE LEVEL DENSITY FORMULA OF GILBERT
AND CAMERON/13/ WERE EVALUATED BY IIJIMA ET AL./14/ 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
/15/.
MT = 1 TOTAL
SPHERICAL OPTICAL MODEL CALCULATION WAS ADOPTED.
MT = 2 ELASTIC SCATTERING
CALCULATED AS (TOTAL - SUM OF PARTIAL CROSS SECTIONS).
MT = 4, 51 - 91 INELASTIC SCATTERING
SPHERICAL OPTICAL AND STATISTICAL MODEL CALCULATION WAS
ADOPTED. THE LEVEL SCHEME WAS TAKEN FROM REF./16/.
NO. ENERGY(MEV) SPIN-PARITY
GR. 0.0 1/2 -
1 0.2636 11/2 -
2 0.2986 3/2 +
3 0.3163 5/2 +
4 0.4596 7/2 +
5 0.4810 9/2 -
6 0.5223 7/2 -
7 0.5840 5/2 +
8 0.6810 3/2 +
9 0.7085 5/2 +
10 0.8553 5/2 -
11 0.8836 1/2 +
12 0.9884 1/2 +
13 1.0080 9/2 +
14 1.1261 3/2 +
15 1.1946 3/2 -
LEVELS ABOVE 1.195 MEV WERE ASSUMED TO BE OVERLAPPING.
MT = 102 CAPTURE
SPHERICAL OPTICAL AND STATISTICAL MODEL CALCULATION WITH
CASTHY WAS ADOPTED. DIRECT AND SEMI-DIRECT CAPTURE CROSS
SECTIONS WERE ESTIMATED ACCORDING TO THE PROCEDURE OF BENZI
AND REFFO/17/ AND NORMALIZED TO 1 MILLI-BARN AT 14 MEV.
THE GAMMA-RAY STRENGTH FUNCTION (4.63E-03) WAS ADJUSTED TO
REPRODUCE THE CAPTURE CROSS SECTION OF 720 MILLI-BARNS AT 30
KEV MEASURED BY MUSGROVE ET AL./18/
MT = 16 (N,2N) CROSS SECTION
MT = 17 (N,3N) CROSS SECTION
MT = 22 (N,N'A) CROSS SECTION
MT = 28 (N,N'P) CROSS SECTION
MT = 32 (N,N'D) CROSS SECTION
MT =103 (N,P) CROSS SECTION
MT =104 (N,D) CROSS SECTION
MT =105 (N,T) CROSS SECTION
MT =107 (N,ALPHA) CROSS SECTION
THESE REACTION CROSS SECTIONS WERE CALCULATED WITH THE
PREEQUILIBRIUM AND MULTI-STEP EVAPORATION MODEL CODE PEGASUS.
THE KALBACH'S CONSTANT K (= 94.6) WAS ESTIMATED BY THE
FORMULA DERIVED FROM KIKUCHI-KAWAI'S FORMALISM/19/ AND LEVEL
DENSITY PARAMETERS.
FINALLY, THE (N,P) AND (N,ALPHA) CROSS SECTIONS WERE
NORMALIZED TO THE FOLLOWING VALUES AT 14.5 MEV:
(N,P) 10.90 MB (SYSTEMATICS OF FORREST/20/)
(N,ALPHA) 2.23 MB (SYSTEMATICS OF FORREST)
MT = 251 MU-BAR
CALCULATED WITH CASTHY.
MF = 4 ANGULAR DISTRIBUTIONS OF SECONDARY NEUTRONS
LEGENDRE POLYNOMIAL COEFFICIENTS FOR ANGULAR DISTRIBUTIONS ARE
GIVEN IN THE CENTER-OF-MASS SYSTEM FOR MT=2 AND DISCRETE INELAS-
TIC LEVELS, AND IN THE LABORATORY SYSTEM FOR MT=91. THEY WERE
CALCULATED WITH CASTHY. FOR OTHER REACTIONS, ISOTROPIC DISTRI-
BUTIONS IN THE LABORATORY SYSTEM WERE ASSUMED.
MF = 5 ENERGY DISTRIBUTIONS OF SECONDARY NEUTRONS
ENERGY DISTRIBUTIONS OF SECONDARY NEUTRONS WERE CALCULATED WITH
PEGASUS FOR INELASTIC SCATTERING FROM OVERLAPPING LEVELS AND FOR
OTHER NEUTRON EMITTING REACTIONS.
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
VSO= 5.261 RSO= 5.97 ASO= 0.267
THE FORM OF SURFACE ABSORPTION PART IS DER. WOODS-SAXON TYPE.
TABLE 2 LEVEL DENSITY PARAMETERS
NUCLIDE SYST A(1/MEV) T(MEV) C(1/MEV) EX(MEV) PAIRING
---------------------------------------------------------------
46-PD-109 2.071E+01 6.030E-01 1.194E+01 6.925E+00 1.350E+00
46-PD-110 1.880E+01 6.300E-01 1.215E+00 7.897E+00 2.490E+00
46-PD-111 2.143E+01 5.610E-01 7.376E+00 6.267E+00 1.350E+00
46-PD-112 * 1.821E+01 6.210E-01 5.620E-01 7.654E+00 2.670E+00
47-AG-110 1.791E+01 5.900E-01 2.444E+01 4.282E+00 0.0
47-AG-111 1.955E+01 5.810E-01 6.505E+00 5.835E+00 1.140E+00
47-AG-112 * 1.857E+01 6.210E-01 4.959E+01 5.129E+00 0.0
47-AG-113 * 1.837E+01 6.185E-01 5.132E+00 6.321E+00 1.320E+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
---------------------------------------------------------------
SYST: * = LDP'S WERE DETERMINED FROM SYSTEMATICS.
SPIN CUTOFF PARAMETERS WERE CALCULATED AS 0.146*SQRT(A)*A**(2/3).
IN THE CASTHY CALCULATION, SPIN CUTOFF FACTORS AT 0 MEV WERE
ASSUMED TO BE 5.733 FOR CD-113 AND 3.875 FOR CD-114.
REFERENCES
1) AOKI, T. ET AL.: PROC. INT. CONF. ON NUCLEAR DATA FOR BASIC
AND APPLIED SCIENCE, SANTA FE., VOL. 2, P.1627 (1985).
2) KAWAI, M. ET AL.: J. NUCL. SCI. TECHNOL., 29, 195 (1992).
3) LIOU, H.I., ET AL.: PHYS. REV., C10, 709 (1974).
4) MUGHABGHAB, S.F. ET AL.: "NEUTRON CROSS SECTIONS, VOL. I,
PART A", ACADEMIC PRESS (1981).
5) IGARASI, S. AND FUKAHORI, T.: JAERI 1321 (1991).
6) IIJIMA, S. ET AL.: JAERI-M 87-025, P. 337 (1987).
7) FOSTER, D.G. JR. AND GLASGOW, D. W.: PHYS. REV., C3, 576
(1971).
8) POENITZ, W.P. AND WHALEN, J.F.: ANL-NDM-80 (1983).
9) PEREY, F.G: PHYS. REV. 131, 745 (1963).
10) HUIZENGA, J.R. AND IGO, G.: NUCL. PHYS. 29, 462 (1962).
11) LOHR, J.M. AND HAEBERLI, W.: NUCL. PHYS. A232, 381 (1974).
12) BECCHETTI, F.D., JR. AND GREENLEES, G.W.: POLARIZATION
PHENOMENA IN NUCLEAR REACTIONS ((EDS) H.H. BARSHALL AND
W. HAEBERLI), P. 682, THE UNIVERSITY OF WISCONSIN PRESS.
(1971).
13) GILBERT, A. AND CAMERON, A.G.W.: CAN. J. PHYS., 43, 1446
(1965).
14) IIJIMA, S., ET AL.: J. NUCL. SCI. TECHNOL. 21, 10 (1984).
15) GRUPPELAAR, H.: ECN-13 (1977).
16) MATSUMOTO, J.: PRIVATE COMMUNICATION (1981).
17) BENZI, V. AND REFFO, G.: CCDN-NW/10 (1969).
18) MUSGROVE, A.R. DE L., ET AL.: "PROC. INT. CONF. ON NEUTRON
PHYSICS AND NUCL. DATA FOR REACTORS, HARWELL 1978", 449.
19) KIKUCHI, K. AND KAWAI, M.: "NUCLEAR MATTER AND NUCLEAR
REACTIONS", NORTH HOLLAND (1968).
20) FORREST, R.A.: AERE-R 12419 (1986).