36-Kr- 78
36-KR- 78 JNDC EVAL-MAR90 JNDC FP NUCLEAR DATA W.G.
DIST-MAR02 REV2-FEB02 20020222
----JENDL-3.3 MATERIAL 3625
-----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
90-03 NEW EVALUATION FOR JENDL-3 WAS COMPLETED BY JNDC FPND
W.G./1/
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 0.8 KEV
RESONANCE PARAMETERS FOR THREE POSITIVE LEVELS WERE BASED ON
MUGHABGHAB ET AL./2/ RESONANCE LEVELS AT 0.1719 KEV AND ABOVE
1.136 KEV WERE ABANDONED, BECAUSE THEY BELONG POSSIBLY TO
KR-80. THE VALUES OF NEUTRON ORBITAL ANGULAR MOMENTUM L AND
TOTAL SPIN J WERE ASSUMED TO BE 0 AND 0.5 FOR ALL RESONANCE
LEVELS, RESPECTIVELY. SCATTERING RADIUS WAS ALSO TAKEN FROM
THE GRAPH (FIG. 1, PART A) GIVEN BY MUGHABGHAB ET AL. A
NEGATIVE RESONANCE WAS ADDED SO AS TO REPRODUCE THE THERMAL
CAPTURE CROSS SECTION OF 6.2+-0.9 BARNS GIVEN BY MUGHABGHAB ET
AL.
UNRESOLVED RESONANCE REGION : 0.8 KEV - 100 KEV
THE NEUTRON STRENGTH FUNCTIONS, S0 AND S2 WERE CALCULATED WITH
OPTICAL MODEL CODE CASTHY/3/, AND S1 WAS BASED ON THE
SYSTEMATICS OF MUGHABGHAB ET AL. 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. THE RADIATION WIDTH GG WAS BASED ON THE COMPILATION
OF MUGHABGHAB ET AL.
TYPICAL VALUES OF THE PARAMETERS AT 70 KEV:
S0 = 0.580E-4, S1 = 1.700E-4, S2 = 0.730E-4, SG = 13.0E-4,
GG = 0.230 EV, R = 7.556 FM.
CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)
2200 M/S RES. INTEG.
TOTAL 14.03 -
ELASTIC 7.829 -
CAPTURE 6.200 25.8
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/4/ 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/5/.
THE OMP'S FOR CHARGED PARTICLES ARE AS FOLLOWS:
PROTON = PEREY/6/
ALPHA = HUIZENGA AND IGO/7/
DEUTERON = LOHR AND HAEBERLI/8/
HELIUM-3 AND TRITON = BECCHETTI AND GREENLEES/9/
PARAMETERS FOR THE COMPOSITE LEVEL DENSITY FORMULA OF GILBERT
AND CAMERON/10/ WERE EVALUATED BY IIJIMA ET AL./11/ 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
/12/.
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 BASED ON EVALUATED NUCLEAR
STRUCTURE DATA FILE (1987 VERSION)/13/ AND AND NUCLEAR DATA
SHEETS/14/.
NO. ENERGY(MEV) SPIN-PARITY
GR. 0.0 0 +
1 0.4550 2 +
2 1.0172 0 +
3 1.1195 4 +
4 1.1479 2 +
5 1.5647 3 +
6 1.6538 3 +
7 1.7559 2 +
8 1.7729 2 +
9 1.8729 4 +
10 1.9778 6 +
11 2.0075 0 -
12 2.2341 2 +
13 2.2407 2 +
14 2.2998 5 +
15 2.3990 3 -
16 2.4134 2 +
17 2.4434 1 -
18 2.4718 2 +
19 2.5080 0 +
20 2.5733 2 +
21 2.6561 0 +
22 2.6776 3 -
23 2.7315 6 +
24 2.7498 5 -
25 2.7641 3 -
26 2.8821 3 -
27 2.8828 1 -
28 2.9925 0 +
29 2.9933 8 +
LEVELS ABOVE 2.999 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 (10.3E-04) WAS ADJUSTED TO
REPRODUCE THE CAPTURE CROSS SECTION OF 200 MILLI-BARNS AT 100
KEV MEASURED BY WALTER ET AL./16/
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 (= 85.5) WAS ESTIMATED BY THE
FORMULA DERIVED FROM KIKUCHI-KAWAI'S FORMALISM/17/ 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) 245.00 MB (MEASURED BY KONDAIAH+/18/)
(N,P) 131.00 MB (SYSTEMATICS OF FORREST/19/)
(N,ALPHA) 39.30 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 = 5.7 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- 74 1.290E+01 8.620E-01 1.070E+00 9.612E+00 2.860E+00
34-SE- 75 1.391E+01 8.500E-01 9.741E+00 8.707E+00 1.430E+00
34-SE- 76 1.315E+01 8.900E-01 1.097E+00 1.082E+01 3.310E+00
34-SE- 77 1.438E+01 8.000E-01 7.140E+00 8.015E+00 1.430E+00
35-BR- 75 * 1.407E+01 8.667E-01 1.329E+01 9.176E+00 1.430E+00
35-BR- 76 * 1.467E+01 8.553E-01 9.334E+01 7.957E+00 0.0
35-BR- 77 * 1.440E+01 8.442E-01 7.380E+00 9.395E+00 1.880E+00
35-BR- 78 1.394E+01 7.570E-01 2.113E+01 5.482E+00 0.0
36-KR- 76 * 1.425E+01 8.553E-01 3.339E+00 1.024E+01 2.600E+00
36-KR- 77 1.359E+01 8.250E-01 7.930E+00 7.711E+00 1.170E+00
36-KR- 78 1.322E+01 8.690E-01 1.155E+00 1.019E+01 3.050E+00
36-KR- 79 1.369E+01 8.400E-01 9.969E+00 8.080E+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 6.780 FOR KR- 78 AND 5.0 FOR KR- 79.
REFERENCES
1) KAWAI, M. ET AL.: PROC. INT. CONF. ON NUCLEAR DATA FOR SCIENCE
AND TECHNOLOGY, MITO, P. 569 (1988).
2) MUGHABGHAB, S.F. ET AL.: "NEUTRON CROSS SECTIONS, VOL. I,
PART A", ACADEMIC PRESS (1981).
3) IGARASI, S.: J. NUCL. SCI. TECHNOL., 12, 67 (1975).
4) IIJIMA, S. ET AL.: JAERI-M 87-025, P. 337 (1987).
5) IIJIMA, S. AND KAWAI, M.: J. NUCL. SCI. TECHNOL., 20, 77
(1983).
6) PEREY, F.G: PHYS. REV. 131, 745 (1963).
7) HUIZENGA, J.R. AND IGO, G.: NUCL. PHYS. 29, 462 (1962).
8) LOHR, J.M. AND HAEBERLI, W.: NUCL. PHYS. A232, 381 (1974).
9) 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).
10) GILBERT, A. AND CAMERON, A.G.W.: CAN. J. PHYS., 43, 1446
(1965).
11) IIJIMA, S., ET AL.: J. NUCL. SCI. TECHNOL. 21, 10 (1984).
12) GRUPPELAAR, H.: ECN-13 (1977).
13) ENSDF: EVALUATED NUCLEAR STRUCTURE DATA FILE (JUNE 1987).
14) NUCLEAR DATA SHEETS, 33, 189 (1981).
15) BENZI, V. AND REFFO, G.: CCDN-NW/10 (1969).
16) WALTER, G., ET AL.: KFK-3652, 1 (1984).
17) KIKUCHI, K. AND KAWAI, M.: "NUCLEAR MATTER AND NUCLEAR
REACTIONS", NORTH HOLLAND (1968).
18) KONDAIAH, E., ET AL.: NUCL. PHYS., A120, 337 (1968)
19) FORREST, R.A.: AERE-R 12419 (1986).