48-Cd-108
48-CD-108 JNDC EVAL-MAR90 JNDC FP NUCLEAR DATA W.G.
DIST-NOV90
----JENDL-3.2 MATERIAL 4831
-----INCIDENT NEUTRON DATA
------ENDF-6 FORMAT
HISTORY
90-03 NEW EVALUATION FOR JENDL-3 WAS COMPLETED BY JNDC FPND
W.G./1/
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 380 EV
RESONANCE PARAMETERS WERE BASED ON THE EXPERIMENTAL DATA OF
ANUFRIEV ET AL./2/ NEUTRON ORBITAL ANGULAR MOMENTUM L WAS
ESTIMATED WITH A METHOD OF BOLLINGER AND THOMAS/3/.
SCATTERING RADIUS OF 6.5 FM WAS ASSUMED FROM THE SYSTEMATICS
OF MEASURED VALUES FOR NEIGHBORING NUCLIDES. A NEGATIVE
RESONANCE WAS ADDED SO AS TO REPRODUCE THE THERMAL CAPTURE
CROSS SECTION GIVEN BY MUGHABGHAB ET AL./4/
UNRESOLVED RESONANCE REGION : 0.380 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 ADJUSTED TO REPRODUCE THE CAPTURE CROSS SECTION MEASURED
BY MUSGROVE ET AL./6,7/. THE EFFECTIVE SCATTERING RADIUS WAS
OBTAINED FROM FITTING TO THE CALCULATED TOTAL CROSS SECTION AT
100 KEV. THE RADIATION WIDTHS, GG(S) AND GG(P), WERE BASED ON
THE COMPILATION OF MUGHABGHAB ET AL.
TYPICAL VALUES OF THE PARAMETERS AT 70 KEV:
S0 = 1.200E-4, S1 = 4.800E-4, S2 = 0.950E-4, SG(S)= 7.15E-4,
SG(P)= 8.51E-4, GG(S)= 0.105 EV, GG(P)= 0.125 EV, R= 4.590 FM.
CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)
2200 M/S RES. INTEG.
TOTAL 6.619 -
ELASTIC 5.533 -
CAPTURE 1.087 27.2
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/8/ 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/9/, POENITZ AND WHALEN/10/ AND
SO ON. THE OMP'S FOR CHARGED PARTICLES ARE AS FOLLOWS:
PROTON = PEREY/11/
ALPHA = HUIZENGA AND IGO/12/
DEUTERON = LOHR AND HAEBERLI/13/
HELIUM-3 AND TRITON = BECCHETTI AND GREENLEES/14/
PARAMETERS FOR THE COMPOSITE LEVEL DENSITY FORMULA OF GILBERT
AND CAMERON/15/ WERE EVALUATED BY IIJIMA ET AL./16/ 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
/17/.
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 BASED ON EVALUATED NUCLEAR
STRUCTURE DATA FILE (1987 VERSION)/18/ AND NUCLEAR DATA
SHEETS /19/.
NO. ENERGY(MEV) SPIN-PARITY DWBA CAL.
GR. 0.0 0 +
1 0.6330 2 + *
2 1.5084 4 +
3 1.6017 2 +
4 1.7210 0 +
5 1.9132 2 +
6 1.9380 0 +
7 2.1627 2 -
8 2.2023 3 - *
9 2.2393 2 +
10 2.3655 2 +
11 2.5000 0 +
12 2.5413 6 +
13 2.5649 5 +
14 2.6015 5 -
15 2.6197 2 +
16 2.6750 0 -
17 2.6817 2 +
18 2.7069 5 -
19 2.7400 0 +
20 2.8077 5 +
21 2.9753 6 -
22 2.9941 6 +
23 3.0467 2 +
24 3.0574 7 -
25 3.0760 0 +
26 3.1105 6 +
27 3.1380 0 -
LEVELS ABOVE 3.17 MEV WERE ASSUMED TO BE OVERLAPPING.
FOR THE LEVELS WITH AN ASTERISK, THE CONTRIBUTION OF DIRECT
INELASTIC SCATTERING CROSS SECTIONS WAS CALCULATED BY THE
DWUCK-4 CODE/20/. DEFORMATION PARAMETER (BETA2 = 0.1752) WAS
BASED ON THE DATA COMPILED BY RAMAN ET AL./21/ AND BETA3 =
0.207 WAS PRESENTLY DETERMINED.
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/22/ AND NORMALIZED TO 1 MILLI-BARN AT 14 MEV.
THE GAMMA-RAY STRENGTH FUNCTION (8.63E-04) WAS ADJUSTED TO
REPRODUCE THE CAPTURE CROSS SECTION OF 230 MILLI-BARNS AT 70
KEV MEASURED BY MUSGROVE ET AL./6,7/
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 =106 (N,HE3) CROSS SECTION
MT =107 (N,ALPHA) CROSS SECTION
MT =111 (N,2P) CROSS SECTION
THESE REACTION CROSS SECTIONS WERE CALCULATED WITH THE
PREEQUILIBRIUM AND MULTI-STEP EVAPORATION MODEL CODE PEGASUS.
THE KALBACH'S CONSTANT K (= 97.0) WAS ESTIMATED BY THE
FORMULA DERIVED FROM KIKUCHI-KAWAI'S FORMALISM/23/ AND LEVEL
DENSITY PARAMETERS.
FINALLY, THE (N,2N), (N,P) AND (N,ALPHA) CROSS SECTIONS WERE
NORMALIZED TO THE FOLLOWING VALUES AT 14.5 MEV:
(N,2N) 1000.00 MB (RECOMMENDED BY BYCHKOV+/24/)
(N,P) 57.60 MB (SYSTEMATICS OF FORREST/25/)
(N,ALPHA) 12.10 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. CONTRIBUTION OF DIRECT INELASTIC
SCATTERING WAS CALCULATED WITH DWUCK-4. 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 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-104 1.630E+01 6.650E-01 8.743E-01 7.305E+00 2.290E+00
46-PD-105 1.791E+01 6.700E-01 9.137E+00 7.207E+00 1.350E+00
46-PD-106 1.717E+01 6.660E-01 8.922E-01 8.024E+00 2.590E+00
46-PD-107 1.916E+01 6.110E-01 6.467E+00 6.507E+00 1.350E+00
47-AG-105 * 1.848E+01 6.379E-01 1.390E+01 6.378E+00 9.400E-01
47-AG-106 1.839E+01 5.480E-01 1.824E+01 3.696E+00 0.0
47-AG-107 1.650E+01 6.300E-01 2.823E+00 5.699E+00 1.240E+00
47-AG-108 1.671E+01 5.760E-01 1.221E+01 3.609E+00 0.0
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
---------------------------------------------------------------
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 8.088 FOR CD-108 AND 5.0 FOR CD-109.
REFERENCES
1) KAWAI, M. ET AL.: PROC. INT. CONF. ON NUCLEAR DATA FOR SCIENCE
AND TECHNOLOGY, MITO, P. 569 (1988).
2) ANUFRIEV, V.A. ET AL.: ATOMNAYA ENERGIYA, 57, 59 (1984).
3) BOLLINGER, L.M. AND THOMAS, G.E.: PHYS. REV., 171,1293(1968).
4) MUGHABGHAB, S.F. ET AL.: "NEUTRON CROSS SECTIONS, VOL. I,
PART A", ACADEMIC PRESS (1981).
5) IGARASI, S.: J. NUCL. SCI. TECHNOL., 12, 67 (1975).
6) MUSGROVE, A.R. DE L., ET AL: PROC. OF INT. CONF. ON NEUTRON
PHYSICS AND NUCL. DATA FOR REACTORS, HARWELL 1978, P.449.
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8) IIJIMA, S. ET AL.: JAERI-M 87-025, P. 337 (1987).
9) FOSTER, D.G. JR. AND GLASGOW, D. W.: PHYS. REV., C3, 576
(1971).
10) POENITZ, W.P. AND WHALEN, J.F.: ANL-NDM-80 (1983).
11) PEREY, F.G: PHYS. REV. 131, 745 (1963).
12) HUIZENGA, J.R. AND IGO, G.: NUCL. PHYS. 29, 462 (1962).
13) LOHR, J.M. AND HAEBERLI, W.: NUCL. PHYS. A232, 381 (1974).
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PHENOMENA IN NUCLEAR REACTIONS ((EDS) H.H. BARSHALL AND
W. HAEBERLI), P. 682, THE UNIVERSITY OF WISCONSIN PRESS.
(1971).
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(1965).
16) IIJIMA, S., ET AL.: J. NUCL. SCI. TECHNOL. 21, 10 (1984).
17) GRUPPELAAR, H.: ECN-13 (1977).
18) ENSDF: EVALUATED NUCLEAR STRUCTURE DATA FILE (JUNE 1987).
19) NUCLEAR DATA SHEETS, 37, 289 (1982).
20) KUNZ, P.D.: PRIVATE COMMUNICATION.
21) RAMAN, S., ET AL.: ATOM. DATA AND NUCL. DATA TABLES 36, 1
(1987)
22) BENZI, V. AND REFFO, G.: CCDN-NW/10 (1969).
23) KIKUCHI, K. AND KAWAI, M.: "NUCLEAR MATTER AND NUCLEAR
REACTIONS", NORTH HOLLAND (1968).
24) BYCHKOV, V.M. ET AL.: INDC(CCP)-146/LJ (1980).
25) FORREST, R.A.: AERE-R 12419 (1986).