60-Nd-143
60-ND-143 JNDC EVAL-MAR90 JNDC FP NUCLEAR DATA W.G.
DIST-MAR02 REV3-FEB02 20020222
----JENDL-3.3 MATERIAL 6028
-----INCIDENT NEUTRON DATA
------ENDF-6 FORMAT
===========================================================
JENDL-3.2 data were automatically transformed to JENDL-3.3.
Interpolation of spectra: 22 (unit base interpolation)
(3,251) deleted, T-matrix of (4,2) deleted, and others.
===========================================================
HISTORY
84-10 EVALUATION FOR JENDL-2 WAS MADE BY JNDC FPND W.G./1/
90-03 MODIFICATION FOR JENDL-3 WAS MADE/2/.
93-11 JENDL-3.2 WAS MADE BY JNDC FPND W.G.
***** MODIFIED PARTS FOR JENDL-3.2 ********************
(2,151) RESOLVED RESONANCE PARAMETERS
***********************************************************
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 5 KEV
FOR JENDL-2, RESONANCE ENERGIES WERE ADOPTED FROM
TELLIER/3/, AND THOSE NOT MEASURED BY TELLIER WERE TAKEN FROM
ROHR ET AL./4/ AND MUSGROVE ET AL./5/ AFTER NORMALIZATION TO
TELLIER'S DATA. RADIATION WIDTHS WERE DERIVED FROM CAPTURE
AREAS MEASURED BY ROHR ET AL. BELOW 2 KEV AND MUSGROVE ET AL.
ABOVE 2.5 KEV, FOR THE RESONANCES NOT MEASURED BY TELLIER,
NEUTRON WIDTHS WERE DETERMINED FROM CAPTURE AREAS BY ASSUMING
THE AVERAGE RADIATION WIDTHS OF 0.077 EV FOR S-WAVE RESONANCES
AND 0.085 EV FOR P-WAVE ONES. SCATTERING RADIUS WAS
DETERMINED FROM SYSTEMATICS OF MEASURED VALUES. A NEGATIVE
RESONANCE WAS ADDED AT -6 EV SO AS TO REPRODUCE THE CAPTURE
CROSS SECTION OF 325+-10 BARNS COMPILED BY MUGHABGHAB ET
AL./6/
FOR JENDL-3, TOTAL SPIN J OF SOME RESONANCES WAS ESTIMATED
WITH A RANDOM NUMBER METHOD.
FOR JENDL-3.2, THESE RESONANCE PARAMETERS WERE MODIFIED SO
AS TO REPRODUCE THE CAPTURE AREA DATA MEASURED AT ORNL, BY
TAKING ACCOUNT OF THE CORRECTION FACTOR (0.9507) ANNOUNCED BY
ALLEN ET AL./7/. THE PARAMETERS OF A NEGATIVE RESONANCE AND
SCATTERING RADIUS WERE ADJUSETED TO GET BETTER AGREEMENT WITH
RECOMMENDED THERMAL CROSS SECTIONS/6/.
UNRESOLVED RESONANCE REGION : 5 KEV - 100 KEV
UNRESOLVED RESONANCE PARAMETARS WERE ADOPTED FROM JENDL-2.
THE NEUTRON STRENGTH FUNCTIONS, S0, S1 AND S2 WERE CALCULATED
WITH OPTICAL MODEL CODE CASTHY/8/. THE OBSERVED LEVEL SPACING
WAS DETERMINED TO REPRODUCE THE CAPTURE CROSS SECTION
CALCULATED WITH CASTHY AT 10 KEV. THE EFFECTIVE SCATTERING
RADIUS WAS OBTAINED FROM FITTING TO THE CALCULATED TOTAL CROSS
SECTION AT 100 KEV.
TYPICAL VALUES OF THE PARAMETERS AT 70 KEV:
S0 = 2.624E-4, S1 = 1.042E-4, S2 = 1.783E-4, SG = 21.4E-4,
GG = 0.079 EV, R = 4.143 FM.
CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)
2200 M/S RES. INTEG.
TOTAL 408.2 -
ELASTIC 78.29 -
CAPTURE 329.9 130
(N,ALPHA) 0.0174
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/9/ STANDING ON A PREEQUILIBRIUM AND MULTI-STEP
EVAPORATION MODEL. THE OMP'S FOR NEUTRON GIVEN IN TABLE 1 WERE
DETERMINED TO REPRODUCE A SYSTEMATIC TREND OF THE TOTAL CROSS
SECTION BY CHANGING R0 OF IIJIMA-KAWAI POTENTIAL/10/. 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 TAKEN FROM REF./18/.
NO. ENERGY(MEV) SPIN-PARITY
GR. 0.0 7/2 -
1 0.7418 3/2 -
2 1.2296 13/2 +
3 1.3060 1/2 -
4 1.4079 9/2 -
5 1.4320 11/2 +
6 1.5100 1/2 +
7 1.5400 3/2 +
8 1.5600 5/2 -
9 1.6100 1/2 +
10 1.7500 9/2 -
11 1.7670 3/2 +
LEVELS ABOVE 1.8 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/19/ AND NORMALIZED TO 1 MILLI-BARN AT 14 MEV.
THE GAMMA-RAY STRENGTH FUNCTION (2.15E-03) WAS ADJUSTED TO
REPRODUCE THE CAPTURE CROSS SECTION OF 280 MILLI-BARNS AT 30
KEV MEASURED BY NAKAJIMA ET AL./20/
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
THESE REACTION CROSS SECTIONS WERE CALCULATED WITH THE
PREEQUILIBRIUM AND MULTI-STEP EVAPORATION MODEL CODE PEGASUS.
THE KALBACH'S CONSTANT K (= 239.3) WAS ESTIMATED BY THE
FORMULA DERIVED FROM KIKUCHI-KAWAI'S FORMALISM/21/ 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) 11.00 MB (RECOMMENDED BY FORREST/22/)
(N,ALPHA) 4.02 MB (SYSTEMATICS OF FORREST/22/)
THE (N,ALPHA) CROSS SECTION BELOW 5 KEV WAS CALCULATED FROM
RESONANCE PARAMETERS, BY ASSUMING A MEAN ALPHA WIDTH OF
3.48E-6 EV SO AS TO REPRODUCE THE THERMAL CROSS SECTION/6/.
THE CROSS SECTION WAS AVERAGED IN SUITABLE ENERGY INTERVALS.
ABOVE 5 KEV, THE CROSS SECTION WAS CONNECTED SMOOTHLY TO THE
PEGASUS CALCULATION.
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 TO OVERLAPPING LEVELS AND FOR
OTHER NEUTRON EMITTING REACTIONS.
TABLE 1 NEUTRON OPTICAL POTENTIAL PARAMETERS
DEPTH (MEV) RADIUS(FM) DIFFUSENESS(FM)
---------------------- ------------ ---------------
V = 45.76 R0 = 6.746 A0 = 0.6
WS = 6.97 RS = 6.432 AS = 0.45
VSO= 7.0 RSO= 6.694 ASO= 0.6
THE FORM OF SURFACE ABSORPTION PART IS DER. WOODS-SAXON TYPE.
TABLE 2 LEVEL DENSITY PARAMETERS
NUCLIDE A(1/MEV) T(MEV) C(1/MEV) EX(MEV) PAIRING
---------------------------------------------------------------
58-CE-139 1.374E+01 6.450E-01 9.282E-01 4.685E+00 1.170E+00
58-CE-140 1.413E+01 6.541E-01 3.376E-01 5.852E+00 2.020E+00
58-CE-141 1.714E+01 5.150E-01 7.134E-01 3.957E+00 1.170E+00
58-CE-142 1.600E+01 6.000E-01 4.210E-01 5.674E+00 1.930E+00
59-PR-140 1.448E+01 6.430E-01 7.927E+00 3.814E+00 0.0
59-PR-141 1.400E+01 6.500E-01 1.810E+00 4.559E+00 8.500E-01
59-PR-142 1.595E+01 6.150E-01 1.201E+01 3.974E+00 0.0
59-PR-143 1.500E+01 6.280E-01 2.607E+00 4.558E+00 7.600E-01
60-ND-141 1.477E+01 6.091E-01 9.537E-01 4.587E+00 1.180E+00
60-ND-142 1.288E+01 6.710E-01 2.250E-01 5.526E+00 2.030E+00
60-ND-143 1.826E+01 4.710E-01 5.220E-01 3.613E+00 1.180E+00
60-ND-144 1.771E+01 5.640E-01 4.792E-01 5.691E+00 1.940E+00
---------------------------------------------------------------
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 7.227 FOR ND-143 AND 8.725 FOR ND-144.
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) TELLIER, H.: CEA-N-1459 (1971).
4) ROHR, G., ET AL.: "PROC. 3RD CONF. ON NEUTRON CROSS SECTIONS
AND TECHNOLOGY, KNOXVILLE 1971", VOL. 2, 743.
5) MUSGROVE, A.R. DE L., ET AL.: AEEC/E401 (1977).
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PART A", ACADEMIC PRESS (1981).
7) ALLEN, B.J., ET AL.: NUCL. SCI. ENG., 82, 230 (1982).
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(1983).
11) PEREY, F.G: PHYS. REV. 131, 745 (1963).
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13) LOHR, J.M. AND HAEBERLI, W.: NUCL. PHYS. A232, 381 (1974).
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(1965).
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17) GRUPPELAAR, H.: ECN-13 (1977).
18) LEDERER, C.M., ET AL.: "TABLE OF ISOTOPES, 7TH ED.", WILEY-
INTERSCIENCE PUBLICATION (1978).
19) BENZI, V. AND REFFO, G.: CCDN-NW/10 (1969).
20) NAKAJIMA, Y., ET AL.: PROC. INT. CONF. ON NEUTRON PHYSICS AND
NUCL. DATA FOR REACTORS, HARWELL 1978, 438.
21) KIKUCHI, K. AND KAWAI, M.: "NUCLEAR MATTER AND NUCLEAR
REACTIONS", NORTH HOLLAND (1968).
22) FORREST, R.A.: AERE-R 12419 (1986).