36-Kr- 86
36-KR- 86 JNDC EVAL-MAR90 JNDC FP NUCLEAR DATA W.G.
DIST-MAR02 REV2-FEB02 20020222
----JENDL-3.3 MATERIAL 3649
-----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 640 KEV
EVALUATION OF RESONANCE ENERGIES, NEUTRON WIDTHS, NEUTRON
ORBITAL ANGULAR MOMENTUM L AND TOTAL SPIN J WAS BASED ON THE
DATA MEASURED BY CARLTON ET AL./3/ AND BY RAMAN ET AL./4/
RADIATION WIDTHS FOR THE 12 RESONANCE LEVELS IN THE ENERGY
RANGE FROM 19.238 TO 88.329 KEV WERE TAKEN FROM THE DATA BY
RAMAN ET AL. THE VALUE OF AVERAGE RADIATION WIDTH WAS
DETERMINED SO THAT THE AVERAGE CAPTURE CROSS SECTION AROUND
640 KEV MIGHT AGREE WITH THAT CALCULATED BY CASTHY/5/, AND
THUS OBTAINED AVERAGE RADIATION WIDTH WAS ADOPTED FOR THE
RESONANCE LEVELS WHOSE RADIATION WIDTH WAS UNKNOWN.
SCATTERING RADIUS WAS TAKEN FROM THE GRAPH (FIG. 1, PART A)
GIVEN BY MUGHABGHAB ET AL./6/ A NEGATIVE RESONANCE WAS ADDED
AT -20 KEV SO AS TO REPRODUCE THE THERMAL CAPTURE CROSS
SECTION OF 3 MB GIVEN BY MUGHABGHAB ET AL.
NO UNRESOLVED RESONANCE REGION
CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)
2200 M/S RES. INTEG.
TOTAL 6.153 -
ELASTIC 6.150 -
CAPTURE 0.003000 0.0232
MF = 3 NEUTRON CROSS SECTIONS
BELOW 640 KEV, RESOLVED RESONANCE PARAMETERS WERE GIVEN.
ABOVE 640 KEV, THE SPHERICAL OPTICAL AND STATISTICAL MODEL
CALCULATION WAS PERFORMED WITH CASTHY/5/, BY TAKING ACCOUNT OF
COMPETING REACTIONS, OF WHICH CROSS SECTIONS WERE CALCULATED
WITH PEGASUS/7/ 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/8/.
THE OMP'S FOR CHARGED PARTICLES ARE AS FOLLOWS:
PROTON = PEREY/9/
ALPHA = HUIZENGA AND IGO/10/
DEUTERON = LOHR AND HAEBERLI/11/
HELIUM-3 AND TRITON = BECCHETTI AND GREENLEES/12/
PARAMETERS FOR THE COMPOSITE LEVEL DENSITY FORMULA OF GILBERT
AND CAMERON/13/ WERE EVALUATED BY IIJIMA ET AL./14/ 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
/15/.
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./16/.
NO. ENERGY(MEV) SPIN-PARITY
GR. 0.0 0 +
1 1.5646 2 +
2 2.2480 4 +
3 2.3496 2 +
4 2.7330 0 +
5 2.8502 3 +
6 2.9262 2 +
7 3.0992 3 -
8 3.5420 0 +
9 3.8320 0 +
10 3.9590 4 +
LEVELS ABOVE 4.072 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/17/ AND NORMALIZED TO 1 MILLI-BARN AT 14 MEV.
THE GAMMA-RAY STRENGTH FUNCTION (3.55E-6) WAS ADJUSTED TO
REPRODUCE THE CAPTURE CROSS SECTION OF 2.5 MILLI-BARNS AT 100
KEV MEASURED BY WALTER/18/
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/7/.
THE KALBACH'S CONSTANT K (= 352.9) 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) 8.00 MB (RECOMMENDED BY FORREST/20/)
(N,ALPHA) 1.27 MB (SYSTEMATICS OF FORREST/20/)
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 = 5.7 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- 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
34-SE- 84 * 8.736E+00 7.738E-01 6.479E-02 4.692E+00 2.360E+00
34-SE- 85 * 9.605E+00 7.647E-01 3.056E-01 4.293E+00 1.430E+00
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
35-BR- 85 1.100E+01 7.000E-01 7.248E-01 3.841E+00 9.300E-01
35-BR- 86 * 9.718E+00 7.558E-01 1.999E+00 2.830E+00 0.0
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
36-KR- 86 9.052E+00 8.686E-01 2.185E-01 5.874E+00 2.100E+00
36-KR- 87 9.400E+00 8.860E-01 8.826E-01 5.481E+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 4.225 FOR KR- 86 AND 5.0 FOR KR- 87.
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) CARLTON, R.F., WINTERS, R.R., JOHNSON, C.H., HILL, N.W., AND
HARVEY, J.A.: PHYS. REV. C 38, 1605 (1988).
4) RAMAN, S., FOGELBERG, B., HARVEY, J.A., MACKLIN, R.L., AND
STELSON, P.H.: PHYS. REV. C 28, 602 (1983).
5) IGARASI, S.: J. NUCL. SCI. TECHNOL., 12, 67 (1975).
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(1983).
9) PEREY, F.G: PHYS. REV. 131, 745 (1963).
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(1965).
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15) GRUPPELAAR, H.: ECN-13 (1977).
16) MATSUMOTO, J.: PRIVATE COMMUNICATION (1981).
17) BENZI, V. AND REFFO, G.: CCDN-NW/10 (1969).
18) WALTER, G.: KFK-3706 (1984).
19) KIKUCHI, K. AND KAWAI, M.: "NUCLEAR MATTER AND NUCLEAR
REACTIONS", NORTH HOLLAND (1968).
20) FORREST, R.A.: AERE-R 12419 (1986).