40-Zr- 96
40-ZR- 96 JNDC EVAL-AUG89 JNDC FP NUCLEAR DATA W.G.
DIST-SEP90 REV2-SEP93
----JENDL-3.2 MATERIAL 4043
-----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. 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 100 KEV
RESONANCE PARAMETERS WERE TAKEN FROM JENDL-2.
RESONANCE ENERGIES AND NEUTRON WIDTHS WERE BASED ON THE
MEASURED VALUES BY COCEVA ET AL./7/ BELOW 41.5 KEV AND THOSE
BY MUSGROVE ET AL./8/ ABOVE 41.5 KEV. THE NEUTRON WIDTHS OF
MUSGROVE ET AL. WERE MULTIPLIED BY A FACTOR OF 1.79 SO AS TO
ADJUST TO THE DATA OF COCEVA ET AL. THE RADIATION WIDTHS WERE
ADOPTED FROM BRUSEGAN ET AL./9/ THE PARAMETERS OF THE 301-EV
LEVEL WERE TAKEN FROM SALAH ET AL./10/ PARAMETER OF A NEGA-
TIVE RESONANCE WAS BASED ON THE RECOMMENDED PARAMETERS GIVEN
IN REF./11/, AND THE RADIATION WIDTH WAS MODIFIED SO AS TO
REPRODUCE THE CAPTURE CROSS SECTION OF 0.0229+-0.0010 BARNS AT
0.0253 EV/11/. AVERAGE RADIATION WIDTHS OF 0.068+-0.010 EV
AND 0.170+-0.130 EV WERE ADOPTED TO S-WAVE AND P-WAVE
RESONANCES, RESPECTIVELY.
NO UNRESOLVED RESONANCE REGION
CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)
2200 M/S RES. INTEG.
TOTAL 6.154 -
ELASTIC 6.131 -
CAPTURE 0.02280 5.87
MF = 3 NEUTRON CROSS SECTIONS
BELOW 100 KEV, RESOLVED RESONANCE PARAMETERS WERE GIVEN.
ABOVE 100 KEV, THE SPHERICAL OPTICAL AND STATISTICAL MODEL
CALCULATION WAS PERFORMED WITH CASTHY/12/, BY TAKING ACCOUNT OF
COMPETING REACTIONS, OF WHICH CROSS SECTIONS WERE CALCULATED
WITH PEGASUS/13/ STANDING ON A PREEQUILIBRIUM AND MULTI-STEP
EVAPORATION MODEL. THE OMP'S FOR NEUTRON GIVEN IN TABLE 1 WERE
DETERMINED BY IIJIMA AND KAWAI/14/ TO REPRODUCE A SYSTEMATIC
TREND OF THE TOTAL CROSS SECTION. 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/.
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/22/ 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 1.5940 0 +
2 1.7505 2 + *
3 1.8971 3 - *
4 2.2259 1 -
5 2.3300 2 +
6 2.4400 1 -
7 2.8574 3 -
LEVELS ABOVE 2.857 MEV WERE ASSUMED TO BE OVERLAPPING.
MT = 16 (N,2N) CROSS SECTION
MT = 17 (N,3N) CROSS SECTION
DATA FOR JENDL FUSION FILE WERE ADOPTED.
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 (1.40E-5) WAS ADJUSTED TO
REPRODUCE THE CAPTURE CROSS SECTION OF 12 MILLI-BARNS AT 30
KEV MEASURED BY WYRICK/24/
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 =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 (= 203.6) WAS ESTIMATED BY THE
FORMULA DERIVED FROM KIKUCHI-KAWAI'S FORMALISM/25/ AND LEVEL
DENSITY PARAMETERS.
FINALLY, THE (N,2N), (N,P) AND (N,ALPHA) CROSS SECTIONS WERE
NORMALIZED TO THE FOLLOWING VALUES AT 14.5 MEV:
(N,2N) 1500.00 MB (MEASURED BY IKEDA+/26/)
(N,P) 3.79 MB (SYSTEMATICS OF FORREST/27/)
(N,ALPHA) 3.00 MB (RECOMMENDED BY FORREST/27/)
MT = 251 MU-BAR
CALCULATED WITH CASTHY.
MF = 4 ANGULAR DISTRIBUTIONS OF SECONDARY NEUTRONS
MT = 2
CALCULATED WITH CASTHY/12/.
MT = 51-57
TAKEN FROM JENDL FUSION FILE DATA WHICH WAS CALCULATED WITH
CASTHY2Y AND DWUCK/28/ (DWUCKY) 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.
=================================================================
<>
=================================================================
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- 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
38-SR- 94 * 1.485E+01 6.915E-01 4.495E-01 7.333E+00 2.530E+00
38-SR- 95 * 1.586E+01 6.842E-01 4.531E+00 6.411E+00 1.240E+00
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
39-Y - 95 1.070E+01 8.306E-01 1.082E+00 5.839E+00 1.290E+00
39-Y - 96 * 1.603E+01 6.771E-01 2.794E+01 5.117E+00 0.0
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
40-ZR- 97 1.259E+01 5.590E-01 2.497E-01 3.084E+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 3.791 FOR ZR- 96 AND 5.0 FOR ZR- 97.
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) COCEVA, C., ET AL.: "PROC. INT. CONF. ON NEUTRON CROSS
SECTIONS FOR TECHNOLOGY, KNOXVILLE 1979", 319 (1980).
8) MUSGROVE, A.R. DE L., ET AL.: AAEC/E-415 (1977).
9) BRUSEGAN, A., ET AL.: "PROC. 4TH INT. SYMP. ON NEUTRON-CAPTURE
GAMMA-RAY SPECTROSCOPY AND RELATED TOPICS, GRENOBLE 1981",
406, THE INSTITUTE OF PHYSICS, LONDON (1982).
10) SALAH, M.M, ET AL.: "PROC. INT. CONF. ON NUCLEAR DATA FOR
BASIC AND APPLIED SCIENCE, SANTA FE 1985", VOL. 1, 593 (1986).
11) MUGHABGHAB, S.F. ET AL.: "NEUTRON CROSS SECTIONS, VOL. I,
PART A", ACADEMIC PRESS (1981).
12) IGARASI, S. AND FUKAHORI, T.: JAERI 1321 (1991).
13) IIJIMA, S. ET AL.: JAERI-M 87-025, P. 337 (1987).
14) IIJIMA, S. AND KAWAI, M.: J. NUCL. SCI. TECHNOL., 20, 77
(1983).
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) ARTHUR, E.D. AND YOUNG, P.G.: LA-8626-MS (1980).
23) BENZI, V. AND REFFO, G.: CCDN-NW/10 (1969).
24) WYRICK, J.M. AND POENITZ, W.P.: ANL-83-4, 196 (1982).
25) KIKUCHI, K. AND KAWAI, M.: "NUCLEAR MATTER AND NUCLEAR
REACTIONS", NORTH HOLLAND (1968).
26) IKEDA, Y. ET AL.: JAERI 1312 (1988).
27) FORREST, R.A.: AERE-R 12419 (1986).
28) KUNZ, P.D.: PRIVATE COMMUNICATION.