55-Cs-137
55-CS-137 JNDC EVAL-MAR90 JNDC FP NUCLEAR DATA W.G.
DIST-MAR02 REV3-FEB02 20020222
----JENDL-3.3 MATERIAL 5537
-----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/.
93-03 JENDL-3.2 WAS MADE BY JNDC FPND W.G.
***** MODIFIED PARTS FOR JENDL-3.2 ********************
(2,151) ALL RESOLVED RESONANCES WERE DELETED.
(3,1), (3,2), (3102)
BELOW 1.7 KEV
***********************************************************
MF = 1 GENERAL INFORMATION
MT=451 COMMENTS AND DICTIONARY
MF = 2 RESONANCE PARAMETERS
MT=151 UNRESOLVED RESONANCE PARAMETERS
RESOLVED RESONANCE PARAMETERS GIVEN IN JENDL-3.1 WERE DELETED.
ONLY UNRESOLVED RESONANCE PARAMETERS WERE GIVEN. THE LOWER
ENERGY BOUNDARY WAS DETERMINED SO AS TO REPRODUCE THE CAPTURE
RESONANCE INTEGRAL OF 0.35+-0.07 B MEASURED BY HARADA ET AL.
/3/
UNRESOLVED RESONANCE REGION : 1.70 KEV - 100 KEV
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. THE RADIATION WIDTH GG WAS
BASED ON THE SYSTEMATICS OF MEASURED VALUES FOR NEIGHBORING
NUCLIDES.
TYPICAL VALUES OF THE PARAMETERS AT 70 KEV:
S0 = 1.800E-4, S1 = 1.100E-4, S2 = 1.600E-4, SG = 0.801E-4,
GG = 0.090 EV, R = 5.101 FM.
CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)
2200 M/S RES. INTEG.
TOTAL 3.780 -
ELASTIC 3.530 -
CAPTURE 0.250 0.357
MF = 3 NEUTRON CROSS SECTIONS
- BELOW 1.7 KEV: THE ELASTIC SCATTRING CROSS SECTION IS
CALCULATED FROM R = 5.3 FM. THE CAPTURE CROSS SECTION IS IN
THE FORM OF 1/V AND 0.250 B AT 0.0253 EV/3/. THE TOTAL CROSS
SECTION IS SUM OF THESE TWO.
- BETWEEN 1.7 KEV AND 100 KEV: URP 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 BY IGARASI ET AL./6/ TO REPRODUCE A SYSTEMATIC TREND
OF THE TOTAL CROSS SECTION. 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 7/2 +
1 0.4560 5/2 +
2 0.8490 3/2 +
3 0.9800 5/2 +
4 1.4900 1/2 +
5 1.8700 11/2 -
6 2.0700 3/2 +
7 2.1500 1/2 +
LEVELS ABOVE 2.3 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 (9.13E-05) WAS DETERMINED FROM
THE SYSTEMATICS OF RADIATION WIDTH (0.125 EV) AND AVERAGE
S-WAVE RESONANCE LEVEL SPACING (1370 EV).
NOTE: INTEGRAL CAPTURE CROSS SECTION OF 90(+-25%) MB/16/
MEASURED IN CFRMF COULD NOT BE REPRODUCED. AVERAGE
CROSS SECTION CALCULATED FROM PRESENT DATA IS 9.7 MB.
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 (= 368.2) 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) 1.57 MB (SYSTEMATICS OF FORREST/18/)
(N,ALPHA) 0.85 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 = 6.58 A0 = 0.62
WI = 0.125E-0.0004E**2 RI = 6.58 AI = 0.62
WS = 7.0 RS = 7.08 AS = 0.35
VSO= 7.0 RSO= 6.58 ASO= 0.62
THE FORM OF SURFACE ABSORPTION PART IS DER. WOODS-SAXON TYPE.
TABLE 2 LEVEL DENSITY PARAMETERS
NUCLIDE A(1/MEV) T(MEV) C(1/MEV) EX(MEV) PAIRING
---------------------------------------------------------------
53-I -133 1.559E+01 4.890E-01 7.662E-01 2.691E+00 7.000E-01
53-I -134 1.500E+01 5.600E-01 4.764E+00 2.769E+00 0.0
53-I -135 1.350E+01 5.500E-01 5.307E-01 2.961E+00 8.500E-01
53-I -136 1.450E+01 5.500E-01 3.589E+00 2.460E+00 0.0
54-XE-134 1.400E+01 6.300E-01 3.184E-01 5.224E+00 1.820E+00
54-XE-135 1.550E+01 5.565E-01 7.506E-01 4.010E+00 1.120E+00
54-XE-136 1.400E+01 6.500E-01 3.270E-01 5.679E+00 1.970E+00
54-XE-137 1.550E+01 5.565E-01 7.470E-01 4.010E+00 1.120E+00
55-CS-135 1.343E+01 6.537E-01 1.831E+00 4.203E+00 7.000E-01
55-CS-136 1.400E+01 6.000E-01 4.424E+00 2.967E+00 0.0
55-CS-137 1.336E+01 6.200E-01 9.986E-01 3.836E+00 8.500E-01
55-CS-138 1.470E+01 5.737E-01 4.715E+00 2.858E+00 0.0
---------------------------------------------------------------
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 4.571 FOR CS-137 AND 5.0 FOR CS-138.
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.: J. NUCL. SCI. TECHNOL., 29, 195 (1992).
3) HARADA, H. ET AL.: "PROC. THE 1990 SYMPOSIUM ON NUCL. DATA",
JAERI-M 91-032, P.199 (1991).
4) IGARASI, S. AND FUKAHORI, T.: JAERI 1321 (1991).
5) IIJIMA, S. ET AL.: JAERI-M 87-025, P. 337 (1987).
6) IGARASI, S. ET AL.: JAERI-M 5752 (1974).
7) PEREY, F.G: PHYS. REV. 131, 745 (1963).
8) HUIZENGA, J.R. AND IGO, G.: NUCL. PHYS. 29, 462 (1962).
9) LOHR, J.M. AND HAEBERLI, W.: NUCL. PHYS. A232, 381 (1974).
10) 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).
11) GILBERT, A. AND CAMERON, A.G.W.: CAN. J. PHYS., 43, 1446
(1965).
12) IIJIMA, S., ET AL.: J. NUCL. SCI. TECHNOL. 21, 10 (1984).
13) GRUPPELAAR, H.: ECN-13 (1977).
14) LEDERER, C.M., ET AL.: "TABLE OF ISOTOPES, 7TH ED.", WILEY-
INTERSCIENCE PUBLICATION (1978).
15) BENZI, V. AND REFFO, G.: CCDN-NW/10 (1969).
16) HARKER, Y.D. AND ANDERL, R.A.: "PROC. SPECIALISTS' MEETING ON
NEUTRON CROSS SECTIONS OF FISSION PRODUCT NUCLEI", BOLOGNA,
DEC. 12-14, 1979, NEANDC(E)209L, P.5 (1979).
17) KIKUCHI, K. AND KAWAI, M.: "NUCLEAR MATTER AND NUCLEAR
REACTIONS", NORTH HOLLAND (1968).
18) FORREST, R.A.: AERE-R 12419 (1986).