42-Mo- 97
42-MO- 97 JNDC EVAL-AUG89 JNDC FP NUCLEAR DATA W.G.
DIST-DEC89 REV2-OCT93
----JENDL-3.2 MATERIAL 4240
-----INCIDENT NEUTRON DATA
------ENDF-6 FORMAT
HISTORY
84-10 EVALUATION FOR JENDL-2 WAS MADE BY JNDC FPND W.G./1/
89-08 MODIFICATION FOR JENDL-3 WAS MADE/2/.
90-10 MF=5: SPECTRA AT THRESHOLD ENERGIES WERE MODIFIED.
93-10 JENDL-3.2.
COMPILED BY T.NAKAGAWA (NDC/JAERI)
***** MODIFIED PARTS FOR JENDL-3.2 ********************
(3,2), (3,4), (3,51-91), (3,16), (3,17), (3,22), (3,28)
(4,16-91)
(5,16-91)
THESE DATA WERE ADOPTED FROM JENDL FUSION FILE
(3,32) DELETED
***********************************************************
-------------------------------------------------------------
JENDL FUSION FILE /3/ (AS OF OCT. 1993)
EVALUATED BY K.KOSAKO(NEDAC) AND S.CHIBA (NDC/JAERI)
COMPILED BY K.KOSAKO
THE INELASTIC SCATTERING, (N,2N), (N,3N), (N,NP), (N,NA)
CROSS SECTIONS WERE CALCULATED WITH SINCROS-II SYSTEM /4/.
THE OTHER CROSS SECTIONS WERE TAKEN FROM JENDL-3.1. MF=6
OF MT=16, 17, 22, 28 AND 91 WERE CREATED WITH F15TOB
PROGRAM /3/ IN WHICH KUMABE'S SYSTEMATICS /5/ WAS USED.
THE PRECOMPOUND/COMPOUND RATIO WAS CALCULATED BY THE
SINCROS-II CODE SYSTEM/4/.
OPTICAL-MODEL, LEVEL DENSITY AND OTHER PARAMETERS USED
IN THE SINCROS-II CALCULATION ARE DESCRIBED IN REF./4/.
LEVEL SCHEMES WERE DETERMINED ON THE BASIS OF ENSDF/6/.
-------------------------------------------------------------
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 1.8 KEV
EVALUATION WAS MADE BY KIKUCHI ET AL./7/ ON THE BASIS OF THE
FOLLOWING EXPERIMENTAL DATA.
TRANSMISSION : SHWE ET AL./8/
CAPTURE : WEIGMANN ET AL./9/
ASSUMED GAMMA-G : 0.130 EV FOR S-WAVE AND 0.150 EV FOR
P-WAVE RESONANCES.
A NEGATIVE RESONANCE ADDED AT -20 EV. VALUES OF TOTAL SPIN J
WERE ASSUMED ARBITRARILY FOR LEVELS WHOSE J HAS NOT BEEN
DETERMINED.
UNRESOLVED RESONANCE REGION : 1.8 KEV - 100 KEV
THE NEUTRON STRENGTH FUNCTIONS, S0, S1 AND S2 WERE CALCULATED
WITH OPTICAL MODEL CODE CASTHY/10/. 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.
TYPICAL VALUES OF THE PARAMETERS AT 70 KEV:
S0 = 0.370E-4, S1 = 5.479E-4, S2 = 0.365E-4, GG = 0.180 EV
DO = 58.76 EV, R = 6.687 FM.
CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)
2200 M/S RES. INTEG.
TOTAL 7.957 -
ELASTIC 5.857 -
CAPTURE 2.100 17.1
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/10/, 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 BY IIJIMA ET AL./12/ TO REPRODUCE A SYSTEMATIC TREND
OF THE TOTAL CROSS SECTION. THE OMP'S FOR CHARGED PARTICLES ARE
AS FOLLOWS:
PROTON = PEREY/13/
ALPHA = HUIZENGA AND IGO/14/
DEUTERON = LOHR AND HAEBERLI/15/
HELIUM-3 AND TRITON = BECCHETTI AND GREENLEES/16/
PARAMETERS FOR THE COMPOSITE LEVEL DENSITY FORMULA OF GIRBERT
AND CAMERON/17/ WERE EVALUATED BY IIJIMA ET AL./18/. 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
/19/.
FOR JENDL-3.2, DATA OF NEUTRON EMITTING REACTIONS WERE
ADOPTED FROM JENDL FUSION FILE. THE CALCULATION WAS MADE WITH
SINCROS-II SYSTEM/4/ BY ADOPTIG WALTER-GUSS OMP MODIFIED BY
YAMAMURO/4/ FOR NEUTRONS, LEMOS OMP MODIFIED BY ARTHUR AND
YOUNG/20/ FOR ALPHA, THE SAME OMP'S AS THE PEGASUS CALCULATION
FOR OTHER CHARGED PARTICLES AND STANDARD LEVEL DENSITY PARAME-
TERS OF SINCROS-II SYSTEM.
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
TAKEN FROM JENDL FUSION FILE. THE LEVEL SCHEME WAS TAKEN FROM
REF./6/ CNTRIBUTIONS OF THE DIRECT PROCESS WAS CALCULATED FOR
THE LEVELS MARKED WITH '*'.
NO. ENERGY(MEV) SPIN-PARITY (DIRECT PROCESS)
GR. 0.0 5/2 +
1 0.4809 3/2 + *
2 0.6579 7/2 +
3 0.6796 1/2 + *
4 0.7192 5/2 + *
5 0.7208 3/2 +
6 0.7530 5/2 +
7 0.7950 1/2 +
8 0.8409 3/2 +
9 0.8881 1/2 +
10 0.9930 5/2 +
11 1.0245 7/2 + *
12 1.0928 3/2 +
13 1.1168 9/2 + *
LEVELS ABOVE 1.117 MEV WERE ASSUMED TO BE OVERLAPPING.
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
ADOPTED FROM JENDL FUSION FILE.
MT = 102 CAPTURE
SPHERICAL OPTICAL AND STATISTICAL MODEL CALCULATION WITH
CASTHY/10/ WAS ADOPTED. DIRECT AND SEMI-DIRECT CAPTURE CROSS
SECTIONS WERE ESTIMATED ACCORDING TO THE PROCEDURE OF BENZI
AND REFFO/21/ AND NORMALIZED TO 1 MILLI-BARN AT 14 MEV.
THE GAMMA-RAY STRENGTH FUNCTION (2.976E-03) WAS ADJUSTED TO
REPRODUCE THE EXPERIMENTAL CAPTURE CROSS SECTION
MEASURED BY MUSGROVE ET AL./22/
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/11/.
THE KALBACH'S CONSTANT K (=103.4 ) WAS ESTIMATED BY THE
FORMULA DERIVED FROM KIKUCHI-KAWAI'S FORMALISM/23/ AND LEVEL
DENSITY PARAMETERS.
FINALLY, (N,P) AND (N,ALPHA) CROSS SECTIONS WERE NORMALIZED TO
THE FOLLOWING VALUES AT 14.5 MEV:
(N,P) 17.00 MB (MEASURED BY IKEDA ET AL./24/)
(N,ALPHA) 7.50 MB (RECOMMENDED BY FORREST/25/)
MT = 251 MU-BAR
CALCULATED WITH CASTHY/10/.
MF = 4 ANGULAR DISTRIBUTIONS OF SECONDARY NEUTRONS
MT = 2
CALCULATED WITH CASTHY/10/.
MT = 51-63
TAKEN FROM JENDL FUSION FILE DATA WHICH WAS CALCULATED WITH
CASTHY AND DWUCK/26/ IN THE SINCROS-II SYSTEM.
MT = 16,17,22,28,91
TRANSFORMED FROM MF=6 DATA (DDX) OF JENDL FUSION FILE.
MF = 5 ENERGY DISTRIBUTIONS OF SECONDARY NEUTRONS
MT = 16,17,22,28,91
TRANSFORMED FROM MF=6 DATA (DDX) OF JENDL FUSION FILE.
=================================================================
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TABLE 1 NEUTRON OPTICAL POTENTIAL PARAMETERS
DEPTH (MEV) RADIUS(FM) DIFFUSENESS(FM)
---------------------- ------------ ---------------
V = 46.0-0.25E R0 = 5.893 A0 = 0.62
WS = 7.0 RS = 6.393 AS = 0.35
WSO= 7.0 RSO= 5.893 ASO= 0.62
TABLE 2 LEVEL DENSITY PARAMETERS
NUCLIDE A(/MEV) T(MEV) C(/MEV) EX(MEV) PAIRING
---------------------------------------------------------------
40-ZR- 93 1.298E+01 7.000E-01 1.273E+00 5.183E+00 1.200E+00
40-ZR- 94 1.275E+01 7.530E-01 4.411E-01 7.019E+00 2.320E+00
40-ZR- 95 1.331E+01 6.070E-01 5.453E-01 3.985E+00 1.200E+00
40-ZR- 96 1.320E+01 7.000E-01 2.235E-01 6.589E+00 2.490E+00
41-NB- 94 1.281E+01 7.230E-01 7.763E+00 4.250E+00 0.0
41-NB- 95 1.277E+01 7.500E-01 2.121E+00 5.782E+00 1.120E+00
41-NB- 96 1.331E+01 5.880E-01 3.406E+00 2.530E+00 0.0
41-NB- 97 1.337E+01 6.710E-01 9.771E-01 5.026E+00 1.290E+00
42-MO- 95 1.360E+01 7.150E-01 1.847E+00 5.835E+00 1.280E+00
42-MO- 96 1.403E+01 7.410E-01 6.991E-01 7.645E+00 2.400E+00
42-MO- 97 1.517E+01 6.800E-01 2.769E+00 6.036E+00 1.280E+00
42-MO- 98 1.594E+01 6.900E-01 7.358E-01 7.888E+00 2.570E+00
---------------------------------------------------------------
SPIN CUTOFF PARAMS WERE CALCULATED AS 0.146*SQRT(A)*A**(2/3).
IN THE CASTHY CALCULATION, SPIN CUTOFF FACTORS AT 0 MEV WERE
ASSUMED TO BE 7.075 FOR MO- 97 AND 5.291 FOR MO- 98.
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) CHIBA, S. ET AL.: JAERI-M 92-027, P.35 (1992).
4) YAMAMURO, N.: JAERI-M 90-006 (1990).
5) KUMABE, I. ET AL.: NUCL. SCI. ENG., 104, 280 (1990).
6) ENSDF: EVALUATED NUCLEAR STRUCTURE DATA FILE, BNL/NNDC.
7) KIKUCHI, Y. ET AL.: JAERI-M 86-030 (1986).
8) SHWE H. AND COTE R.E.: PHYS. REV. 179, 1148 (1969).
9) WEIGMANN H. ET AL.: 1971 KNOXVILLE, 749 (1971).
10) IGARASI, S. AND FUKAHORI, T.: JAERI 1321 (1991).
11) IIJIMA, S. ET AL.: JAERI-M 87-025, P. 337 (1987).
12) IIJIMA, S. AND KAWAI, M.: J. NUCL. SCI. TECHNOL., 20, 77
(1983).
13) PEREY, F.G: PHYS. REV. 131, 745 (1963).
14) HUIZENGA, J.R. AND IGO, G.: NUCL. PHYS. 29, 462 (1962).
15) LOHR, J.M. AND HAEBERLI, W.: NUCL. PHYS. A232, 381 (1974).
16) 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).
17) GILBERT, A. AND CAMERON, A.G.W.: CAN. J. PHYS., 43, 1446
(1965).
18) IIJIMA, S., ET AL.: J. NUCL. SCI. TECHNOL. 21, 10 (1984).
19) GRUPPELAAR, H.: ECN-13 (1977).
20) ARTHUR, E.D. AND YOUNG, P.G.: LA-8626-MS (1980).
21) BENZI, V. AND REFFO, G.: CCDN-NW/10 (1969).
22) MUSGROVE, A.R.DE L. ET AL.: NUCL. PHYS., A270, 108 (1976).
23) KIKUCHI, K. AND KAWAI, M.: "NUCLEAR MATTER AND NUCLEAR
REACTIONS", NORTH HOLLAND (1968).
24) IKEDA, Y. ET AL.: JAERI 1312 (1988).
25) FORREST, R.A.: AERE-R 12419 (1986).
26) KUNZ, P.D.: PRIVATE COMMUNICATION.