40-Zr- 90
40-ZR- 90 JNDC EVAL-AUG89 JNDC FP NUCLEAR DATA W.G.
DIST-SEP90 REV2-NOV93
----JENDL-3.2 MATERIAL 4025
-----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.
93-11 JENDL-3.2.
RESONANCE PARAMETERS MODIFIED BY M.KAWAI(TOSHIBA).
OTHER MODIFICATIONS WERE ADOPTED FROM JENDL FUSION FILE.
COMPILED BY T.NAKAGAWA (NDC/JAERI)
***** MODIFIED PARTS FOR JENDL-3.2 ********************
(2,151) RESOLVED RESONANCE PARAMETERS
(3,2), (3,4), (3,32), (3,51-57), (3,91)
TAKEN FROM JENDL FUSION FILE
(3,58-64): DELETED.
(4,16-91) TAKEN FROM JENDL FUSION FILE
(5,16-91) TAKEN FROM JENDL FUSION FILE
***********************************************************
-------------------------------------------------------------
JENDL FUSION FILE /3/ (AS OF NOV. 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,ND) REACTION CROSS SECTION (MT=32) WAS NEWLY
CALCULATED BY EGNASH2 IN THE SINCROS-II.
- ALL ENERGY DISTRIBUTIONS OF SECONDARY NEUTRONS WERE
REPLACED BY THOSE CALCULATED BY EGNASH2. THE DDX'S OF
THE CONTINUUM NEUTRONS WERE CALCULATED BY KUMABE'S
SYSTEMATICS /5/ USING F15TOB /3/. THE PRECOMPOUND TO
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
RESOLVED RESONANCE REGION (MLBW FORMULA) : BELOW 171 KEV
RESONANCE PARAMETERS FOR JENDL-3.1 WERE TAKEN FROM JENDL-2
AFTER SLIGHT MODIFICATION.
FOR JENDL-2, RESONANCE ENERGIES AND NEUTRON WIDTHS WERE
TAKEN FROM THE DATA OF MUSGROVE ET AL./7/ RADIATION WIDTHS
WERE DERIVED FROM CAPTURE AREAS MEASURED BY BOLDEMAN ET AL./8/
THE PARAMETERS OF THE FIRST RESONANCE WERE SLIGHTLY ADJUSTED
SO AS TO REPRODUCE THE CAPTURE AND AND ELASTIC SCATTERING
CROSS SECTIONS AT 0.0253 EV/9/.
AVERAGE RADIATION WIDTH = 0.190 +- 0.110 EV FOR S-WAVE RES,
0.270 +- 0.120 EV FOR P-WAVE RES,
0.280 +- 0.120 EV FOR D-WAVE RES.
THE EFFECTIVE SCATTERING RADIUS OF 7.0 FM WAS ASSUMED.
FOR JENDL-3, THE PARAMETERS OF THREE D-WAVE RESONANCES WERE
MODIFIED AND A NEGATIVE RESONANCE WAS ADDED SO AS TO REPRODUCE
THE THERMAL CAPTURE CROSS SECTION OF 0.10+-0.07 BARN MEASURED
BY POMERANCE/10/, AND THE RESONANCE INTEGRAL GIVEN BY
MUGHABGHAB ET AL./9/
FOR JENDL-3.2, THE PARAMETERS FOR THE LEVELS MEASURED BY
BOLDEMAN ET AL. IN THE ENERGY RANGE UP TO 192.9 KEV WERE
REEVALUATED USING THEIR CAPTURE AREA DATA MULTIPLIED BY 0.967
ACCORDING TO A CORRIGENDUM REPORTED BY ALLEN ET AL./11/. THE
NEGATIVE RESONANCE WAS REMOVED BECAUSE THE POSITIVE RESONANCE
PARAMETERS REPRODUCE WELL THE THERMAL CROSS SECTIONS/12/ AND
RESONANCE INTEGRAL.
NO UNRESOLVED RESONANCE REGION
CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)
2200 M/S RES. INTEG.
TOTAL 5.376 -
ELASTIC 5.365 -
CAPTURE 0.0112 0.174
MF = 3 NEUTRON CROSS SECTIONS
BELOW 171 KEV, RESONANCE PARAMETERS WERE GIVEN.
IN THE EVALUATION FOR JENDL-3.1, ABOVE 171 KEV, THE SPHERICAL
OPTICAL AND STATISTICAL MODEL CALCULATION WAS PERFORMED WITH
CASTHY/13/, BY TAKING ACCOUNT OF COMPETING REACTIONS, OF WHICH
CROSS SECTIONS WERE CALCULATED WITH PEGASUS/14/ STANDING ON A
PREEQUILIBRIUM AND MULTI-STEP EVAPORATION MODEL. THE OMP'S FOR
NEUTRON GIVEN IN TABLE 1 WERE DETERMINED BY IIJIMA AND KAWAI/15/
TO REPRODUCE A SYSTEMATIC TREND OF THE TOTAL CROSS SECTION. THE
OMP'S FOR CHARGED PARTICLES ARE AS FOLLOWS:
PROTON = PEREY/16/
ALPHA = HUIZENGA AND IGO/17/
DEUTERON = LOHR AND HAEBERLI/18/
HELIUM-3 AND TRITON = BECCHETTI AND GREENLEES/19/
PARAMETERS FOR THE COMPOSITE LEVEL DENSITY FORMULA OF GILBERT
AND CAMERON/20/ WERE EVALUATED BY IIJIMA ET AL./21/ 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
/22/.
FOR JENDL-3.2, DATA OF INELASTIC SCATTERING AND (N,ND) REAC-
TION 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/23/ 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 1.7607 0 + *
2 2.1865 2 + *
3 2.3191 5 -
4 2.7388 4 -
5 2.7479 3 - *
6 3.0772 4 + *
7 3.3087 2 +
LEVELS ABOVE 3.309 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/24/ AND NORMALIZED TO 1 MILLI-BARN AT 14 MEV.
THE GAMMA-RAY STRENGTH FUNCTION (1.41E-05) WAS ADJUSTED TO
REPRODUCE THE CAPTURE CROSS SECTION OF 7.5 MILLI-BARNS AT 100
KEV MEASURED BY MUSGROVE ET AL./25/
MT = 16 (N,2N) CROSS SECTION
MT = 22 (N,N'A) CROSS SECTION
MT = 28 (N,N'P) 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
MT =111 (N,2P) CROSS SECTION
THESE REACTION CROSS SECTIONS WERE CALCULATED WITH THE
PREEQUILIBRIUM AND MULTI-STEP EVAPORATION MODEL CODE PEGASUS.
THE KALBACH'S CONSTANT K (= 301.6) WAS ESTIMATED BY THE
FORMULA DERIVED FROM KIKUCHI-KAWAI'S FORMALISM/26/ 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) 40.00 MB (RECOMMENDED BY FORREST/27/)
(N,ALPHA) 10.00 MB (RECOMMENDED BY FORREST)
THE (N.2N) CROSS SECTION WAS DETERMINED BY EYE-GUIDING TO THE
EXPERIMENTAL DATA OF ZHAO WEN-RONG ET AL./28/, PAVLINK ET AL.
/29/ AND MANY MEASURED DATA AROUND 14.5 MEV.
MT = 32 (N,N'D) CROSS SECTION
TAKEN FROM JENDL FUSION FILE.
MT = 251 MU-BAR
CALCULATED WITH CASTHY.
MF = 4 ANGULAR DISTRIBUTIONS OF SECONDARY NEUTRONS
MT = 2
CALCULATED WITH CASTHY/13/.
MT = 51-57
TAKEN FROM JENDL FUSION FILE WHICH WAS CALCULATED WITH
CASTHY AND DWUCK/30/ (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 = 16,17,22,28,32,91
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
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- 86 1.120E+01 8.900E-01 5.328E-01 8.599E+00 2.700E+00
38-SR- 87 1.030E+01 8.610E-01 1.186E+00 5.938E+00 1.240E+00
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
39-Y - 87 * 1.388E+01 7.471E-01 2.541E+00 6.730E+00 1.460E+00
39-Y - 88 1.109E+01 7.450E-01 3.738E+00 3.570E+00 0.0
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
40-ZR- 88 * 1.404E+01 7.386E-01 4.932E-01 7.870E+00 2.660E+00
40-ZR- 89 1.095E+01 8.260E-01 1.379E+00 5.864E+00 1.200E+00
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
---------------------------------------------------------------
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 10.12 FOR ZR- 90 AND 12.04 FOR ZR- 91.
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