59-Pr-141
59-PR-141 JNDC EVAL-MAR90 JNDC FP NUCLEAR DATA W.G.
DIST-SEP90 REV2-NOV93
----JENDL-3.2 MATERIAL 5925
-----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/.
93-10 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 PARAMETERS FOR MLBW FORMULA (BELOW 13.226KEV)
RESONANCE PARAMETERS WERE TAKEN FROM JENDL-2/3/ AND SLIGHTLY
MODIFIED.
IN THE EVALUATION FOR JENDL-2, NEUTRON WIDTHS WERE EVALUATED
ON THE BASIS OF WYNCHANK ET AL./4/, MORGENSTERN ET AL./5/ AND
TAYLOR ET AL./6/ RADIATION WIDTHS WERE DETERMINED FROM CAPTURE
AREAS MEASURED BY TAYLOR ET AL. FOR THE LEVELS WHOSE CAPTURE
ARIA WAS ONLY THE EXISTING DATA, THEIR NEUTRON WIDTHS WERE
DEDUCED BY ASSUMING THE AVERAGE RADIATION WIDTH OF 0.084+-
0.024 EV. SCATTERING RADIUS OF 4.9 FM WAS ADOPTED FROM
MUGHABGHAB ET AT./7/
FOR JENDL-3, PARAMETERS OF A NEGATIVE RESONANCE WERE
MODIFIED SO AS TO REPRODUCE THE CAPTURE CROSS SECTION OF
11.5+-0.3 BARNS AT 0.0253 EV/7/ AND THE TOTAL CROSS SECTION
MEASURED BY ZIMMERMAN ET AL./8/ AND HICKMAN/9/. TOTAL SPIN J
OF SOME RESONANCES WAS TENTATIVELY 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 OF 1.0737 ANNOUNCED BY
ALLEN ET AL./10/.
UNRESOLVED RESONANCE REGION : 13.226 KEV - 100 KEV
THE NEUTRON STRENGTH FUNCTION S0 WAS BASED ON THE COMPILATION
OF MUGHABGHAB ET AL., AND S1 AND S2 WERE CALCULATED WITH
OPTICAL MODEL CODE CASTHY/11/. THE OBSERVED LEVEL SPACING WAS
DETERMINED TO REPRODUCE THE CAPTURE CROSS SECTION CALCULATED
WITH CASTHY. 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 SYSTEMATICS OF
MEASURED VALUES FOR NEIGHBORING NUCLIDES.
TYPICAL VALUES OF THE PARAMETERS AT 70 KEV:
S0 = 1.500E-4, S1 = 1.200E-4, S2 = 1.500E-4, SG = 6.06E-4,
GG = 0.086 EV, R = 5.181 FM.
CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)
2200 M/S RES. INTEG.
TOTAL 14.040 -
ELASTIC 2.540 -
CAPTURE 11.500 18.4
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/12/ STANDING ON A PREEQUILIBRIUM AND MULTI-STEP
EVAPORATION MODEL. THE OMP'S FOR NEUTRON GIVEN IN TABLE 1 WERE
ADOPTED FROM MOLDAUER/13/ SINCE THE PARAMETERS REPRODUCED WELL
THE TOTAL CROSS SECTION MEASURED BY FOSTER AND GLASGOW/14/.
THE OMP'S FOR CHARGED PARTICLES ARE AS FOLLOWS:
PROTON = PEREY/15/
ALPHA = HUIZENGA AND IGO/16/
DEUTERON = LOHR AND HAEBERLI/17/
HELIUM-3 AND TRITON = BECCHETTI AND GREENLEES/18/
PARAMETERS FOR THE COMPOSITE LEVEL DENSITY FORMULA OF GILBERT
AND CAMERON/19/ WERE EVALUATED BY IIJIMA ET AL./20/ 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
/21/.
MT = 1 TOTAL
BELOW 5 MEV, SPHERICAL OPTICAL MODEL CALCULATION WAS ADOPTED.
ABOVE 5 MEV, EYE-GUIDING WAS MADE ON THE BASIS OF THE DATA
MEASURED BY FOSTER AND GLASGOW/14/.
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./22/.
NO. ENERGY(MEV) SPIN-PARITY
GR. 0.0 5/2 +
1 0.1454 7/2 +
2 1.1180 11/2 -
3 1.1270 3/2 +
4 1.2927 5/2 +
5 1.2986 1/2 +
6 1.4350 3/2 +
7 1.4502 7/2 +
8 1.4561 5/2 -
LEVELS ABOVE 1.48 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/23/ AND NORMALIZED TO 1 MILLI-BARN AT 14 MEV.
THE GAMMA-RAY STRENGTH FUNCTION (6.38E-04) WAS ADJUSTED TO THE
CAPTURE CROSS SECTION OF 110 MILLI-BARNS AT 30 KEV MEASURED BY
MUSGROVE ET AL./24/ THE RESULTS WERE MODIFIED BY MULTIPLING
WITH AN ENERGY DEPENDENT FACTOR TO REPRODUCE WELL THE EXPERI-
MENTAL DATA SUCH AS THOSE MEASURED BY ZAIKIN ET AL./25/ AND
STUPEGIA ET AL./26/
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 = 33 (N,N'T) 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 (= 314.1) WAS ESTIMATED BY THE
FORMULA DERIVED FROM KIKUCHI-KAWAI'S FORMALISM/27/ 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) 9.50 MB (RECOMMENDED BY FORREST/28/)
(N,ALPHA) 3.00 MB (RECOMMENDED BY FORREST)
THE (N,2N) CROSS SECTION WAS DETERMINED BY EYE-GUIDING OF
THE DATA MEASURED BY BORMANN ET AL./29/.
THE (N,ALPHA) CROSS SECTION BELOW 13.225 KEV WAS CALCULATED
FROM RESONANCE PARAMETERS, BY ASSUMING A MEAN ALPHA WIDTH OF
1.15E-8 EV SO AS TO REPRODUCE THE THERMAL CROSS SECTION/7/.
THE CROSS SECTION WAS AVERAGED IN SUITABLE ENERGY INTERVALS.
ABOVE 13.225 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 = 46.0 R0 = 6.638 A0 = 0.62
WS = 7.0 RS = 6.638 AS = 1.0
VSO= 7.0 RSO= 6.638 ASO= 0.62
THE FORM OF SURFACE ABSORPTION PART IS GAUSSIAN TYPE.
TABLE 2 LEVEL DENSITY PARAMETERS
NUCLIDE SYST A(1/MEV) T(MEV) C(1/MEV) EX(MEV) PAIRING
---------------------------------------------------------------
57-LA-137 1.558E+01 6.210E-01 3.521E+00 4.624E+00 7.000E-01
57-LA-138 1.450E+01 6.310E-01 7.202E+00 3.634E+00 0.0
57-LA-139 1.380E+01 6.500E-01 1.653E+00 4.468E+00 8.500E-01
57-LA-140 1.558E+01 5.900E-01 7.912E+00 3.425E+00 0.0
58-CE-138 * 1.618E+01 5.580E-01 2.611E-01 5.011E+00 1.870E+00
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
59-PR-139 * 1.630E+01 5.556E-01 2.158E+00 3.843E+00 7.000E-01
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
---------------------------------------------------------------
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 5.937 FOR PR-141 AND 5.267 FOR PR-142.
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) KIKUCHI, Y. ET AL.: JAERI-M 86-030 (1986).
4) WYNCHANK, S., ET AL.: PHYS. REV., 166, 1234 (1968).
5) MORGENSTERN, J., ET AL.: NUCL. PHYS., A123, 561 (1969).
6) TAYLOR, R.B., ET AL.: AUST. J. PHYS., 32, 551 (1979).
7) MUGHABGHAB, S.F. ET AL.: "NEUTRON CROSS SECTIONS, VOL. I,
PART A", ACADEMIC PRESS (1981).
8) ZIMMERMAN, R.L., ET AL.: NUCL. PHYS., A95, 683 (1967).
9) HICKMAN, G.D.: BULL. AM. PHYS. SOC., 10, 12 (AD3) (1965).
10) ALLEN, B.J. ET AL.: NUCL. SCI. ENG., 82, 230 (1982).
11) IGARASI, S. AND FUKAHORI, T.: JAERI 1321 (1991).
12) IIJIMA, S. ET AL.: JAERI-M 87-025, P. 337 (1987).
13) MOLDAUER, P. A.: NUCL. PHYS., 47, 65 (1963).
14) FOSTER, D.G. JR. AND GLASGOW, D.W.: PHYS. REV., C3, 576
(1971).
15) PEREY, F.G: PHYS. REV. 131, 745 (1963).
16) HUIZENGA, J.R. AND IGO, G.: NUCL. PHYS. 29, 462 (1962).
17) LOHR, J.M. AND HAEBERLI, W.: NUCL. PHYS. A232, 381 (1974).
18) 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).
19) GILBERT, A. AND CAMERON, A.G.W.: CAN. J. PHYS., 43, 1446
(1965).
20) IIJIMA, S., ET AL.: J. NUCL. SCI. TECHNOL. 21, 10 (1984).
21) GRUPPELAAR, H.: ECN-13 (1977).
22) MATSUMOTO, J., ET AL.: JAERI-M 7734 (1978).
23) BENZI, V. AND REFFO, G.: CCDN-NW/10 (1969).
24) MUSGROVE, A.R. DE L., ET AL.: "PROC. INT. CONF. ON NEUTRON
PHYSICS AND NUCL. DATA FOR REACTORS, HARWELL 1978", 449.
25) ZAIKIN, G.G., ET AL.: UKRAINSKIJ FIZICHNIJ ZHURNAL, 16, 1205
(1971). DATA WERE TAKEN FROM EXFOR 40255.
26) STUPEGIA, D.C., ET AL.: J. NUCL. ENERG., 22, 267 (1968).
27) KIKUCHI, K. AND KAWAI, M.: "NUCLEAR MATTER AND NUCLEAR
REACTIONS", NORTH HOLLAND (1968).
28) FORREST, R.A.: AERE-R 12419 (1986).
29) BORMANN, M., ET AL.: NUCL. PHYS., A115, 309 (1968).