40-Zr- 93
40-ZR- 93 JNDC EVAL-MAR90 JNDC FP NUCLEAR DATA W.G.
DIST-MAR02 REV2-FEB02 20020222
----JENDL-3.3 MATERIAL 4034
-----INCIDENT NEUTRON DATA
------ENDF-6 FORMAT
===========================================================
JENDL-3.2 data were automatically transformed to JENDL-3.3.
Interpolation of spectra: 22 (unit base interpolation)
(3,251) deleted, T-matrix of (4,2) deleted, and others.
===========================================================
HISTORY
84-10 EVALUATION FOR JENDL-2 WAS MADE BY JNDC FPND W.G./1/
90-03 MODIFICATION FOR JENDL-3 WAS MADE/2/.
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 1.7 KEV
RESONANCE PARAMETERS WERE NEWLY EVALUATED AS FOLLOWS:
RESONANCE ENERGIES, NEUTRON WIDTHS AND RADIATION WIDTHS WERE
MAINLY TAKEN FROM THE MEASUREMENT OF MACKLIN/3/ UP TO 6.1 KEV.
NEUTRON WIDTHS NOT MEASURED WERE DETERMINED FROM CAPTURE AREA
DATA, AND TOTAL AND RADIATION WIDTHS OF MACKLIN ET AL./4/
AVERAGE RADIATION WIDTHS WERE DEDUCED TO BE 0.145 EV FOR
S-WAVE RESONANCES, AND 0.250 EV FOR P-WAVE RESONANCES. TOTAL
SPIN J OF SOME RESONANCES WAS TENTATIVELY ESTIMATED WITH A
RANDOM NUMBER METHOD. NEUTRON ORBITAL ANGULAR MOMENTUM L OF
SOME RESONANCES WAS ESTIMATED WITH A METHOD OF BOLLINGER AND
THOMAS/5/. SCATTERING RADIUS WAS BASED ON THE SYSTEMATICS OF
MEASURED VALUES FOR NEIGHBORING NUCLIDES. A NEGATIVE
RESONANCE WAS ADDED SO AS TO REPRODUCE THE THERMAL CAPTURE
CROSS SECTION GIVEN BY MUGHABGHAB ET AL./6/
UNRESOLVED RESONANCE REGION : 1.7 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/7/. 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 = 5.480E-4, S2 = 0.360E-4, SG = 5.31E-4,
GG = 0.200 EV, R = 6.734 FM.
CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)
2200 M/S RES. INTEG.
TOTAL 7.892 -
ELASTIC 5.653 -
CAPTURE 2.239 18.2
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/8/ STANDING ON A PREEQUILIBRIUM AND MULTI-STEP
EVAPORATION MODEL. THE OMP'S FOR NEUTRON GIVEN IN TABLE 1 WERE
DETERMINED BY IIJIMA AND KAWAI/9/ TO REPRODUCE A SYSTEMATIC
TREND OF THE TOTAL CROSS SECTION. THE OMP'S FOR CHARGED
PARTICLES ARE AS FOLLOWS:
PROTON = PEREY/10/
ALPHA = HUIZENGA AND IGO/11/
DEUTERON = LOHR AND HAEBERLI/12/
HELIUM-3 AND TRITON = BECCHETTI AND GREENLEES/13/
PARAMETERS FOR THE COMPOSITE LEVEL DENSITY FORMULA OF GILBERT
AND CAMERON/14/ WERE EVALUATED BY IIJIMA ET AL./15/ 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
/16/.
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
SPHERICAL OPTICAL AND STATISTICAL MODEL CALCULATION WAS
ADOPTED. THE LEVEL SCHEME WAS TAKEN FROM REF./17/
NO. ENERGY(MEV) SPIN-PARITY
GR. 0.0 5/2 +
1 0.2671 3/2 +
2 0.9490 1/2 +
3 1.4231 3/2 +
4 1.4800 7/2 +
5 1.6000 9/2 +
6 1.6500 5/2 +
7 1.9200 1/2 +
8 2.0400 11/2 -
9 2.0800 9/2 +
10 2.1000 1/2 +
LEVELS ABOVE 2.18 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/18/ AND NORMALIZED TO 1 MILLI-BARN AT 14 MEV.
THE GAMMA-RAY STRENGTH FUNCTION (5.35E-04) WAS DETERMINED FROM
THE SYSTEMATICS OF RADIATION WIDTH (0.20 EV) AND THE AVERAGE
S-WAVE RESONANCE LEVEL SPACING (374 EV) CALCULATED FROM THE
LEVEL DENSITY PARAMETERS.
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
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 (= 178.4) WAS ESTIMATED BY THE
FORMULA DERIVED FROM KIKUCHI-KAWAI'S FORMALISM/19/ 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) 12.70 MB (SYSTEMATICS OF FORREST/20/)
(N,ALPHA) 3.79 MB (SYSTEMATICS OF FORREST)
MT = 251 MU-BAR
CALCULATED WITH CASTHY.
MF = 4 ANGULAR DISTRIBUTIONS OF SECONDARY NEUTRONS
LEGENDRE POLYNOMIAL COEFFICIENTS FOR ANGULAR DISTRIBUTIONS ARE
GIVEN IN THE CENTER-OF-MASS SYSTEM FOR MT=2 AND DISCRETE INELAS-
TIC LEVELS, AND IN THE LABORATORY SYSTEM FOR MT=91. THEY WERE
CALCULATED WITH CASTHY. FOR OTHER REACTIONS, ISOTROPIC DISTRI-
BUTIONS IN THE LABORATORY SYSTEM WERE ASSUMED.
MF = 5 ENERGY DISTRIBUTIONS OF SECONDARY NEUTRONS
ENERGY DISTRIBUTIONS OF SECONDARY NEUTRONS WERE CALCULATED WITH
PEGASUS FOR INELASTIC SCATTERING TO OVERLAPPING LEVELS AND FOR
OTHER NEUTRON EMITTING REACTIONS.
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- 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
38-SR- 92 * 1.288E+01 7.065E-01 2.515E-01 6.391E+00 2.360E+00
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
39-Y - 93 1.150E+01 8.053E-01 1.740E+00 5.854E+00 1.120E+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
40-ZR- 94 1.275E+01 7.530E-01 4.411E-01 7.019E+00 2.320E+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 6.100 FOR ZR- 93 AND 5.524 FOR ZR- 94.
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.: PROC. INT. CONF. ON NUCLEAR DATA FOR SCIENCE
AND TECHNOLOGY, MITO, P. 569 (1988).
3) MACKLIN, R.L. ET AL.: NUCL. SCI. ENG., 92, 525 (1986).
4) MACKLIN, R.L. : ASTROPHYS. SPACE SCI., 115, 71 (1985).
5) BOLLINGER, L.M. AND THOMAS, G.E.: PHYS. REV., 171,1293(1968).
6) MUGHABGHAB, S.F. ET AL.: "NEUTRON CROSS SECTIONS, VOL. I,
PART A", ACADEMIC PRESS (1981).
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(1983).
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(1965).
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17) LEDERER, C.M., ET AL.: "TABLE OF ISOTOPES, 7TH ED.", WILEY-
INTERSCIENCE PUBLICATION (1978).
18) BENZI, V. AND REFFO, G.: CCDN-NW/10 (1969).
19) KIKUCHI, K. AND KAWAI, M.: "NUCLEAR MATTER AND NUCLEAR
REACTIONS", NORTH HOLLAND (1968).
20) FORREST, R.A.: AERE-R 12419 (1986).