40-Zr- 92
40-ZR- 92 JNDC EVAL-AUG89 JNDC FP NUCLEAR DATA W.G.
DIST-SEP90 REV2-APR94
----JENDL-3.2 MATERIAL 4031
-----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.
94-04 JENDL-3.2.
RESONANCE PARAMETERS BY M.KAWAI(TOSHIBA)
OTHERS WERE MAINLY TAKEN FROM JENDL FUSION FILE
COMPILED BY T.NAKAGAWA (NDC/JAERI)
***** MODIFIED PARTS FOR JENDL-3.2 ********************
(3,2), (3,4), (3,51-91), (3,16), (3,17)
(4,16-91)
(5,16-91)
ABOVE DATA WERE TAKEN FROM JENDL FUSION FILE.
(2,151) PARAMETERS OF A NEGATIVE RESONANCE
***********************************************************
-------------------------------------------------------------
JENDL FUSION FILE /3/ (AS OF APR. 1994)
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.
- THRESHOLD 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 AND 33.
THE DDX'S OF THE CONTINUUM NEUTRONS WERE CALCULATED BY
KUMABE'S SYSTEMATICS /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 71 KEV
RESONANCE PARAMETERS WERE TAKEN FROM JENDL-2. EVALUATION FOR
JENDL-2 WAS BASED ON THE MEASURED DATA BY BOLDEMAN ET AL./7/
PARAMETERS OF A NEGATIVE RESONANCE AND EFFECTIVE SCATTERING
RADIUS WERE ADOPTED FROM THE RECOMMENDATION OF MUGHABGHAB ET
AL./8/ AVERAGE RADIATION WIDTHS OF 0.180 EV AND 0.270 WERE
ASSUMED FOR S-WAVE AND P-WAVE RESONANCES, RESPECTIVELY. FOR
JENDL-3.2, THE PARAMETERS OF THE NEGATIVE RESONANCE WERE
MODIFIED TO REPRODUCE THE THERMAL ELASTIC SCATTERING CROSS
SECTION OF 7.1 B OF ZR-92 AND 6.4 B/8/ OF NATURAL ZR.
UNRESOLVED RESONANCE REGION : 71 KEV - 100 KEV
THE NEUTRON STRENGTH FUNCTIONS S0 AND S1 WERE BASED ON THE
COMPILATION OF MUGHABGHAB ET AL., AND S2 WAS 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.
THE RADIATION WIDTHS GG(S) AND GG(P) WERE BASED ON THE
COMPILATION OF MUGHABGHAB ET AL.
TYPICAL VALUES OF THE PARAMETERS AT 80 KEV:
S0 = 0.500E-4, S1 = 7.000E-4, S2 = 0.380E-4, SG(S)= 0.433E-4,
SG(P) = 1.11E-4, GG(S)= 0.140EV, GG(P)= 0.360EV, R = 5.964FM.
CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)
2200 M/S RES. INTEG.
TOTAL 7.339 -
ELASTIC 7.110 -
CAPTURE 0.2292 0.714
MF = 3 NEUTRON CROSS SECTIONS
BELOW 100 KEV, RESONANCE PARAMETERS WERE GIVEN.
FOR JENDL-3.1, 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 WITH CASTHY 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 0.9345 2 + *
2 1.3828 0 + *
3 1.4954 4 +
4 1.8473 2 + *
5 2.0667 2 +
6 2.1500 2 +
7 2.3397 3 - *
8 2.3983 4 +
9 2.4859 5 -
10 2.7435 4 -
11 2.8197 2 + *
12 2.8640 4 +
13 2.9036 0 +
14 2.9095 3 -
15 2.9578 6 +
16 3.0397 2 + *
17 3.0578 2 +
LEVELS ABOVE 3.058 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 (8.99E-05) WAS ADJUSTED TO
REPRODUCE THE CAPTURE CROSS SECTION OF 30 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 = 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 =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 (= 163.7) 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) 22.00 MB (MEASURED BY IKEDA+/23/)
(N,ALPHA) 9.50 MB (AVERAGED VALUE OF QAIM+/24/
AND BAYHURST+/25/)
MT = 251 MU-BAR
CALCULATED WITH CASTHY.
MF = 4 ANGULAR DISTRIBUTIONS OF SECONDARY NEUTRONS
MT = 2
CALCULATED WITH CASTHY/9/.
MT = 51-67
TAKEN FROM JENDL FUSION FILE WHICH WAS CALCULATED WITH
CASTHY AND DWUCK/26/ (DWUCKY) IN THE SINCROS-II SYSTEM.
MT = 16,17,22,28,32,33,91
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 = 32,33
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 A(1/MEV) T(MEV) C(1/MEV) EX(MEV) PAIRING
---------------------------------------------------------------
38-SR- 88 9.160E+00 7.510E-01 8.288E-02 4.550E+00 2.170E+00
38-SR- 89 9.380E+00 8.200E-01 5.043E-01 4.642E+00 1.240E+00
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
39-Y - 89 7.900E+00 8.500E-01 3.983E-01 3.440E+00 9.300E-01
39-Y - 90 1.027E+01 6.770E-01 1.716E+00 2.209E+00 0.0
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
40-ZR- 90 9.152E+00 8.222E-01 1.526E-01 5.383E+00 2.130E+00
40-ZR- 91 1.036E+01 8.000E-01 7.822E-01 5.057E+00 1.200E+00
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
---------------------------------------------------------------
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 6.937 FOR ZR- 92 AND 6.100 FOR ZR- 93.
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