55-Cs-133
55-CS-133 JNDC EVAL-MAR90 JNDC FP NUCLEAR DATA W.G.
DIST-MAR02 REV2-FEB02 20020222
----JENDL-3.3 MATERIAL 5525
-----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/.
92-01 COMMENTS (1,451) WERE CORRECTED.
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 5.98 KEV
RESONANCE PARAMETERS OF JENDL-2 WERE MODIFIED AS FOLLOWS :
EVALUATION FOR JENDL-2 WAS PERFORMED ON THE BASIS OF DATA
MEASURED BY HARVEY ET AL./3/, GARG ET AL./4/, JUNG ET AL./5/,
THOMAS ET AL./6/, RIEHS AND THOMAS/7/, ANUFRIEV ET AL./8/ AND
MACKLIN/9/. TWO NEGATIVE RESONANCES WERE ADOPTED FROM
MUGHABGHAB ET AL. /10/ AND PARAMETERS OF THE NEGATIVE AND
LOWEST TWO RESONANCES WERE SLIGHTLY ADJUSTED SO AS TO
REPRODUCE THE CAPTURE CROSS SECTION OF 29+-1.5 BARNS AT 0.0253
EV AND THE NEUTRON RESONANCE CAPTURE INTEGRAL OF 437+-26 BARNS
GIVEN BY MUGHABGHAB ET AL. HOWEVER, THE VALUES OF TOTAL SPIN
J FOR MOST OF RESONANCE LEVELS WERE UNKNOWN EXCEPT THE 30
LEVELS IN THE LOW ENERGY REGION BELOW 800 EV, AND TARGET SPIN
OF 3.5 WAS ADOPTED FOR THE ABOVE LEVELS AS THE TOTAL SPIN.
FOR JENDL-3, RESONANCE ENERGIES BELOW 500 EV WERE SOMEWHAT
MODIFIED BY REVIEWING THE EXPERIMENTAL DATA /3/ MENTIONED
ABOVE, AND THE 7 RESONANCE LEVELS WERE ADDED ON THE BASIS OF
THE MEASUREMENTS BY POPOV AND TSHETSYAK/11/, BY GARG ET AL.,
BY ANUFRIEV ET AL., AND BY NAKJIMA ET AL./12/ THE VALUES OF
NEUTRON ORBITAL ANGULAR MOMENTUM L WERE ASSUMED TO BE 0 FOR
ALL THE RESONANCE LEVELS. THE J-VALUES FOR THE J-UNKNOWN
LEVELS WERE TENTATIVELY ESTIMATED WITH A RANDOM NUMBER METHOD.
ACCORDING TO NEW ESTIMATION OF THE J-VALUES, NEUTRON AND
RADIATION WIDTHS FOR MOST OF RESONANCE LEVELS WERE ALSO
MODIFIED ON THE BASIS OF THE MEASURED DATA OF 2G*(NEUTRON
WIDTH), TOTAL WIDTH, AND NEUTRON CAPTURE AREA. AVERAGE
RADIATION WIDTH OF 120.48 MEV WAS DERIVED FROM THE DATA OF
RADIATION WIDTHS MEASURED BY MACKLIN, AND WAS ADOPTED FOR MANY
RESONANCE LEVELS WHOSE RADIATION WIDTH WAS UNKNOWN. NEUTRON
AND RADIATION WIDTH FOR THE TWO NEGATIVE RESONANCE LEVELS WERE
ALSO MODIFIED SO AS TO REPRODUCE THE THERMAL CAPTURE CROSS
SECTION OF 29.0+-1.5 BARNS GIVEN BY MUGHABGHAB ET AL.
SCATTERING RADIUS WAS ALSO TAKEN FROM MUGHABGHAB ET AL.
UNRESOLVED RESONANCE REGION : 5.98 KEV - 100 KEV
THE NEUTRON STRENGTH FUNCTION S0 WAS BASED ON THE COMPILATION
OF MUGHABGHAB ET AL., AND S1 AND S2 WERE CALCULATED WITH
OPTICAL MODEL CODE CASTHY/13/. 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 = 0.700E-4, S1 = 1.400E-4, S2 = 1.300E-4, SG = 56.6E-4,
GG = 0.120 EV, R = 5.839 FM.
CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)
2200 M/S RES. INTEG.
TOTAL 33.30 -
ELASTIC 4.294 -
CAPTURE 29.00 396
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/14/ STANDING ON A PREEQUILIBRIUM AND MULTI-STEP
EVAPORATION MODEL. THE OMP'S FOR NEUTRON GIVEN IN TABLE 1 WERE
DETERMINED BY IGARASI ET AL./15/ TO REPRODUCE A SYSTEMATIC
TREND OF THE TOTAL CROSS SECTION. THE OMP'S FOR CHARGED
PARTICLES ARE AS FOLLOWS:
PROTON = PEREY/16/
ALPHA = HUIZENGA AND IGO/17/
DEUTERON = LOHR AND HAEBERLI/18/
HELIUM-3 AND TRITON = BECCHETTI AND GREENLEES/19/
PARAMETERS FOR THE COMPOSITE LEVEL DENSITY FORMULA OF GILBERT
AND CAMERON/20/ WERE EVALUATED BY IIJIMA ET AL./21/ 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
/22/.
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./23/
NO. ENERGY(MEV) SPIN-PARITY
GR. 0.0 7/2 +
1 0.0810 5/2 +
2 0.1616 5/2 +
3 0.3839 3/2 +
4 0.4370 1/2 +
5 0.6050 11/2 -
6 0.6325 11/2 +
7 0.6412 3/2 +
8 0.7060 7/2 +
9 0.7687 9/2 +
10 0.7870 7/2 +
11 0.8190 9/2 +
12 0.8718 9/2 +
13 0.9170 3/2 +
LEVELS ABOVE 0.95 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/24/ AND NORMALIZED TO 1 MILLI-BARN AT 14 MEV.
THE GAMMA-RAY STRENGTH FUNCTION (5.28E-03) WAS ADJUSTED TO
REPRODUCE THE CAPTURE CROSS SECTION OF 521 MILLI-BARNS AT 30
KEV MEASURED BY YAMAMURO ET AL./25/ AND BY MACKLIN/9/.
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 =106 (N,HE3) 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 (= 262.4) WAS ESTIMATED BY THE
FORMULA DERIVED FROM KIKUCHI-KAWAI'S FORMALISM/26/ 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) 10.50 MB (RECOMMENDED BY FORREST/27/)
(N,ALPHA) 1.60 MB (RECOMMENDED BY 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 = 6.521 A0 = 0.62
WI = 0.125E-0.0004E**2 RI = 6.521 AI = 0.62
WS = 7.0 RS = 7.021 AS = 0.35
VSO= 7.0 RSO= 6.521 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
---------------------------------------------------------------
53-I -129 1.720E+01 6.200E-01 3.436E+00 5.762E+00 1.200E+00
53-I -130 1.640E+01 6.000E-01 1.297E+01 3.896E+00 0.0
53-I -131 1.600E+01 6.330E-01 2.958E+00 5.342E+00 1.040E+00
53-I -132 1.550E+01 6.000E-01 8.595E+00 3.552E+00 0.0
54-XE-130 1.671E+01 6.600E-01 8.841E-01 7.427E+00 2.320E+00
54-XE-131 1.740E+01 6.000E-01 3.176E+00 5.394E+00 1.120E+00
54-XE-132 1.563E+01 6.500E-01 5.485E-01 6.600E+00 2.160E+00
54-XE-133 1.600E+01 6.250E-01 2.327E+00 5.284E+00 1.120E+00
55-CS-131 * 1.705E+01 5.750E-01 1.633E+00 4.913E+00 1.200E+00
55-CS-132 * 1.676E+01 5.726E-01 1.123E+01 3.569E+00 0.0
55-CS-133 1.750E+01 6.000E-01 3.784E+00 5.352E+00 1.040E+00
55-CS-134 1.598E+01 6.450E-01 1.710E+01 4.505E+00 0.0
---------------------------------------------------------------
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 8.076 FOR CS-133 AND 11.67 FOR CS-134.
REFERENCES
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AND APPLIED SCIENCE, SANTA FE., VOL. 2, P.1627 (1985).
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