36-Kr- 84
36-KR- 84 JNDC EVAL-MAR90 JNDC FP NUCLEAR DATA W.G.
DIST-NOV90
----JENDL-3.2 MATERIAL 3643
-----INCIDENT NEUTRON DATA
------ENDF-6 FORMAT
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 2.48 KEV
EVALUATION OF JENDL-2 WAS PERFORMED AS FOLLOWS :
NEUTRON WIDTHS AND AVERAGE RADIATION WIDTH FOR THE TWO
POSITIVE LEVELS AT 519 AND 580 EV WERE TAKEN FROM THE DATA
GIVEN BY MUGHABGHAB ET AL./3/ THE SIX RESONANCE LEVELS FROM
1.164 TO 2.12 KEV WERE ABANDONED, BECAUSE THEIR ISOTOPIC
ASSIGNMENT WAS UNCERTAIN. THE VALUE OF AVERAGE RADIATION
WIDTH WAS MODIFIED TO 121 MEV SO AS TO REPRODUCE THE NEUTRON
RESONANCE CAPTURE INTEGRAL OF 2.43+-0.2 BARNS GIVEN BY
MUGHABGHAB ET AL. THE VALUES OF NEUTRON ORBITAL ANGULAR
MOMENTUM L AND TOTAL SPIN J WERE ASSUMED TO BE 0 AND 0.5,
RESPECTIVELY. SCATTERING RADIUS WAS ALSO TAKEN FROM THE GRAPH
(FIG. 1, PART A) GIVEN BY MUGHABGHAB ET AL. A NEGATIVE
RESONANCE WAS ADDED AT -150 EV SO AS TO REPRODUCE THE THERMAL
CAPTURE CROSS SECTION OF 0.110+-0.015 BARNS/3/.
FOR JENDL-3, ANY MODIFICATION WAS NOT MADE, BECAUSE NEW
MEASUREMENTS HAVE NOT BEEN CARRIED OUT.
UNRESOLVED RESONANCE REGION : 2.48 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/4/. 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 = 0.580E-4, S1 = 2.920E-4, S2 = 0.650E-4, SG = 0.553E-4,
GG = 0.200 EV, R = 7.061 FM.
CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)
2200 M/S RES. INTEG.
TOTAL 6.269 -
ELASTIC 6.159 -
CAPTURE 0.1100 2.42
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/5/ STANDING ON A PREEQUILIBRIUM AND MULTI-STEP
EVAPORATION MODEL. THE OMP'S FOR NEUTRON GIVEN IN TABLE 1 WERE
DETERMINED TO REPRODUCE A SYSTEMATIC TREND OF THE TOTAL CROSS
SECTION BY CHANGING R0, RS AND RSO OF IIJIMA-KAWAI POTENTIAL/6/.
THE OMP'S FOR CHARGED PARTICLES ARE AS FOLLOWS:
PROTON = PEREY/7/
ALPHA = HUIZENGA AND IGO/8/
DEUTERON = LOHR AND HAEBERLI/9/
HELIUM-3 AND TRITON = BECCHETTI AND GREENLEES/10/
PARAMETERS FOR THE COMPOSITE LEVEL DENSITY FORMULA OF GILBERT
AND CAMERON/11/ WERE EVALUATED BY IIJIMA ET AL./12/ 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
/13/.
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./14/.
NO. ENERGY(MEV) SPIN-PARITY
GR. 0.0 0 +
1 0.8820 2 +
2 1.8340 0 +
3 1.9000 2 +
4 2.0860 4 +
5 2.3370 4 +
6 2.6260 2 +
7 2.7050 3 -
8 2.7590 1 +
9 2.7750 2 +
10 3.0480 3 +
11 3.2250 1 -
12 3.3350 2 -
13 3.4770 1 -
14 3.5700 3 -
15 3.6500 5 -
16 3.7210 3 -
LEVELS ABOVE 3.795 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/15/ AND NORMALIZED TO 1 MILLI-BARN AT 14 MEV.
THE GAMMA-RAY STRENGTH FUNCTION (0.533E-04) WAS ADJUSTED TO
REPRODUCE THE CAPTURE CROSS SECTION OF 38.7 MILLI-BARNS AT 30
KEV MEASURED BY WALTER ET AL./16/
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 =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 (= 254.6) WAS ESTIMATED BY THE
FORMULA DERIVED FROM KIKUCHI-KAWAI'S FORMALISM/17/ 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) 9.33 MB (SYSTEMATICS OF FORREST/18/)
(N,ALPHA) 3.33 MB (SYSTEMATICS OF FORREST)
MT = 251 MU-BAR
CALCULATED WITH CASTHY/4/.
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 = 5.7 A0 = 0.62
WS = 7.0 RS = 6.2 AS = 0.35
VSO= 7.0 RSO= 5.7 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
---------------------------------------------------------------
34-SE- 80 1.334E+01 8.130E-01 6.129E-01 9.136E+00 3.000E+00
34-SE- 81 1.368E+01 7.490E-01 2.463E+00 6.614E+00 1.430E+00
34-SE- 82 1.259E+01 7.980E-01 3.563E-01 8.246E+00 2.890E+00
34-SE- 83 1.381E+01 7.500E-01 2.666E+00 6.708E+00 1.430E+00
35-BR- 81 1.290E+01 8.310E-01 3.275E+00 7.733E+00 1.570E+00
35-BR- 82 1.266E+01 6.900E-01 5.789E+00 3.665E+00 0.0
35-BR- 83 1.324E+01 7.830E-01 2.683E+00 6.978E+00 1.460E+00
35-BR- 84 * 1.302E+01 7.738E-01 1.393E+01 5.216E+00 0.0
36-KR- 82 1.319E+01 7.810E-01 4.961E-01 8.191E+00 2.740E+00
36-KR- 83 1.483E+01 6.700E-01 2.532E+00 5.589E+00 1.170E+00
36-KR- 84 9.970E+00 9.600E-01 4.942E-01 8.590E+00 2.630E+00
36-KR- 85 1.024E+01 8.900E-01 1.570E+00 6.261E+00 1.170E+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 4.937 FOR KR- 84 AND 3.125 FOR KR- 85.
REFERENCES
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AND TECHNOLOGY, MITO, P. 569 (1988).
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REACTIONS", NORTH HOLLAND (1968).
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