40-Zr- 94
40-ZR- 94 JNDC EVAL-AUG89 JNDC FP NUCLEAR DATA W.G.
DIST-SEP90 REV-SEP93
----JENDL-3.2 MATERIAL 4037
-----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.
93-09 JENDL-3.2.
COMPILED BY T.NAKAGAWA (NDC/JAERI)
***** MODIFIED PARTS FOR JENDL-3.2 ********************
(3,2), (3,4), (3,16), (3,17), (3,51-91)
(4,16-91)
(5,16-91)
THESE DATA WERE TAKEN FROM JENDL FUSION FILE.
***********************************************************
-------------------------------------------------------------
JENDL FUSION FILE /3/ (AS OF SEP. 1993)
EVALUATED AND COMILED BY S. CHIBA (NDC/JAERI)
DATA WERE TAKEN FROM JENDL-3.1 EXCEPT FOR THE FOLLOWING:
- THE DISCRETE AND CONTINUUM INELASTIC SCATTERING CROSS
SECTIONS WERE CALCULATED WITH CASTHY2Y AND DWUCKY IN
SINCROS-II SYSTEM/4/ INCLUDING CONTRIBUTIONS FROM
DIRECT REACTIONS.
- ANGULAR DISTRIBUTIONS OF DISCRETE INELASTICS WERE ALSO
CALCULATED WITH CASTHY2Y AND DWUCKY.
- THE (N,2N) AND (N,3N) REACTION CROSS SECTIONS (MT=16, 17)
WERE REPLACED WITH THOSE CALCULATED BY EGNASH2 IN THE
SINCROS-II.
- ENERGY DISTRIBUTIONS OF SECONDARY NEUTRONS WERE REPLACED
BY THOSE CALCULATED BY EGNASH2 EXCEPT FOR MT=32 WHICH WAS
NOT TAKEN INTO ACCOUNT IN EGNASH2. THE DDX'S OF THE
CONTINUUM NEUTRONS WERE CALCULATED BY KUMABE'S SYSTEMA-
TICS /5/ USING F15TOB /3/. THE PRECOMPOUND/COMPOUND
RATIO WAS CALCULATED BY THE SINCROS- II CODE SYSTEM.
- 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 53.5 KEV
RESONANCE PARAMETERS WERE TAKEN FROM JENDL-2.
PARAMETERS WERE DETERMINED ON THE BASIS OF MEASURED DATA BY
BOLDEMAN ET AL./7/ A NEGATIVE RESONANCE WAS ADDED TO
REPRODUCE THE CAPTURE CROSS SECTION OF 0.0499 BARN AND THE
ELASTIC SCATTERING CROSS SECTION OF 6.1 BARN AT 0.0253 EV/8/.
AVERAGE RADIATION WIDTHS OF 0.090 EV AND 0.175 EV WERE ADOPTED
TO S-WAVE AND P-WAVE RESONANCES, RESPECTIVELY.
UNRESOLVED RESONANCE REGION : 53.5 KEV - 100 KEV
UNRESOLVED RESONANCE PARAMETERS WERE ADOPTED FROM JENDL-2.
THE NEUTRON STRENGTH FUNCTIONS, S0, S1 AND S2 WERE CALCULATED
WITH OPTICAL MODEL CODE CASTHY/9/. 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 = 5.500E-4, S2 = 0.360E-4, SG = 0.534E-4,
GG = 0.190 EV, R = 6.704 FM.
CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)
2200 M/S RES. INTEG.
TOTAL 6.202 -
ELASTIC 6.152 -
CAPTURE 0.04981 0.321
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/10/ STANDING ON A PREEQUILIBRIUM AND MULTI-STEP
EVAPORATION MODEL. THE OMP'S FOR NEUTRON GIVEN IN TABLE 1 WERE
DETERMINED BY IIJIMA AND KAWAI/11/ TO REPRODUCE A SYSTEMATIC
TREND OF THE TOTAL CROSS SECTION. THE OMP'S FOR CHARGED
PARTICLES ARE AS FOLLOWS:
PROTON = PEREY/12/
ALPHA = HUIZENGA AND IGO/13/
DEUTERON = LOHR AND HAEBERLI/14/
HELIUM-3 AND TRITON = BECCHETTI AND GREENLEES/15/
PARAMETERS FOR THE COMPOSITE LEVEL DENSITY FORMULA OF GILBERT
AND CAMERON/16/ WERE EVALUATED BY IIJIMA ET AL./17/ 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
/18/.
FOR JENDL-3.2, DATA OF INELASTIC, (N,2N) AND (N,3N) REACTION
CROSS SECTIONS WERE ADOPTED FROM JENDL FUSION FILE. THE
CALCULATION WAS MADE WITH SINCROS-II SYSTEM/4/ BY ADOPTING
WALTER-GUSS OMP MODIFIED BY YAMAMURO/4/ FOR NEUTRONS, LEMOS OMP
MODIFIED BY ARTHUR AND YOUNG/19/ FOR ALPHA, THE SAME OMP'S AS
THE PEGASUS CALCULATION FOR OTHER CHARGED PARTICLES AND STANDARD
LEVEL DENSITY PARAMETERS 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/ CONTRIBUTIONS OF THE DIRECT PROCESS WAS CALCULATED
FOR THE LEVELS MARKED WITH '*'.
NO. ENERGY(MEV) SPIN-PARITY (DIRECT PROCESS)
GR. 0.0 0 +
1 0.9187 2 + *
2 1.3002 0 +
3 1.4696 4 +
4 1.6714 2 +
5 2.0576 3 - *
6 2.1513 2 +
7 2.3302 4 +
8 2.3661 2 +
9 2.5077 3 + *
10 2.6045 5 -
11 2.6985 1 +
12 2.8260 2 +
13 2.8463 1 +
14 2.8606 4 + *
LEVELS ABOVE 2.861 MEV WERE ASSUMED TO BE OVERLAPPING.
MT = 16 (N,2N) CROSS SECTION
MT = 17 (N,3N) CROSS SECTION
TAKEN FROM JENDL FUSION FILE.
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/20/ AND NORMALIZED TO 1 MILLI-BARN AT 14 MEV.
THE GAMMA-RAY STRENGTH FUNCTION (4.89E-05) WAS ADJUSTED TO
REPRODUCE THE CAPTURE CROSS SECTION OF 19 MILLI-BARNS AT 100
KEV MEASURED BY MUSGROVE ET AL./21/
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 (= 161.8) WAS ESTIMATED BY THE
FORMULA DERIVED FROM KIKUCHI-KAWAI'S FORMALISM/22/ 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) 10.00 MB (RECOMMENDED BY FORREST/23/)
(N,ALPHA) 4.80 MB (MEASURED BY IKEDA+/24/)
MT = 251 MU-BAR
CALCULATED WITH CASTHY.
MF = 4 ANGULAR DISTRIBUTIONS OF SECONDARY NEUTRONS
MT = 2
CALCULATED WITH CASTHY/9/.
MT = 51-64
TAKEN FROM JENDL FUSION FILE DATA WHICH WAS CALCULATED WITH
CASTHY AND DWUCK/25/ (DWUCKY) IN THE SINCROS-II SYSTEM.
MT = 16,17,22,28,32,91
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.
MT = 32
CALCULATED WITH PEGASUS.
=================================================================
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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
VSO= 7.0 RSO= 5.893 ASO= 0.62
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
---------------------------------------------------------------
38-SR- 90 9.940E+00 8.530E-01 3.795E-01 6.252E+00 1.960E+00
38-SR- 91 1.090E+01 8.100E-01 1.103E+00 5.625E+00 1.240E+00
38-SR- 92 * 1.288E+01 7.065E-01 2.515E-01 6.391E+00 2.360E+00
38-SR- 93 * 1.386E+01 6.989E-01 1.878E+00 5.664E+00 1.240E+00
39-Y - 91 1.050E+01 7.140E-01 8.362E-01 3.521E+00 7.200E-01
39-Y - 92 1.012E+01 7.629E-01 2.480E+00 3.191E+00 0.0
39-Y - 93 1.150E+01 8.053E-01 1.740E+00 5.854E+00 1.120E+00
39-Y - 94 9.149E+00 7.385E-01 1.378E+00 2.222E+00 0.0
40-ZR- 92 1.088E+01 8.192E-01 5.122E-01 6.429E+00 1.920E+00
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
---------------------------------------------------------------
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 5.524 FOR ZR- 94 AND 5.652 FOR ZR- 95.
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) BOLDEMAN, J.W., ET AL.: NUCL. PHYS., A269, 31 (1976).
8) MUGHABGHAB, S.F. ET AL.: "NEUTRON CROSS SECTIONS, VOL. I,
PART A", ACADEMIC PRESS (1981).
9) IGARASI, S. AND FUKAHORI, T.: JAERI 1321 (1991).
10) IIJIMA, S. ET AL.: JAERI-M 87-025, P. 337 (1987).
11) IIJIMA, S. AND KAWAI, M.: J. NUCL. SCI. TECHNOL., 20, 77
(1983).
12) PEREY, F.G: PHYS. REV. 131, 745 (1963).
13) HUIZENGA, J.R. AND IGO, G.: NUCL. PHYS. 29, 462 (1962).
14) LOHR, J.M. AND HAEBERLI, W.: NUCL. PHYS. A232, 381 (1974).
15) 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).
16) GILBERT, A. AND CAMERON, A.G.W.: CAN. J. PHYS., 43, 1446
(1965).
17) IIJIMA, S., ET AL.: J. NUCL. SCI. TECHNOL. 21, 10 (1984).
18) GRUPPELAAR, H.: ECN-13 (1977).
19) ARTHUR, E.D. AND YOUNG, P.G.: LA-8626-MS (1980).
20) BENZI, V. AND REFFO, G.: CCDN-NW/10 (1969).
21) MUSGROVE, A.R. DE L., ET AL.: PROC. INT. CONF. ON NEUTRON
PHYSICS AND NUCL. DATA FOR REACTORS, HARWELL 1978, 449.
22) KIKUCHI, K. AND KAWAI, M.: "NUCLEAR MATTER AND NUCLEAR
REACTIONS", NORTH HOLLAND (1968).
23) FORREST, R.A.: AERE-R 12419 (1986).
24) IKEDA, Y. ET AL.: JAERI 1312 (1988).
25) KUNZ, P.D.: PRIVATE COMMUNICATION.