56-Ba-135
56-BA-135 JNDC EVAL-MAR90 JNDC FP NUCLEAR DATA W.G.
DIST-MAR02 REV3-FEB02 20020222
----JENDL-3.3 MATERIAL 5640
-----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/.
93-11 JENDL-3.2 WAS MADE BY JNDC FPND W.G.
***** MODIFIED PARTS FOR JENDL-3.2 ********************
(2,151) RESOLVED RESONANCE PARAMETERS. NEGATIVE
RESONANCE PARAMETERS WERE SLIGHTLY MODIFIED.
***********************************************************
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 5.96 KEV THE
EVALUATION FOR JENDL-2 WAS MADE BY KIKUCHI/3/. FOR THE
RESONANCES BELOW 1.4 KEV, NEUTRON WIDTHS WERE OBTAINED FROM
THE EXPERIMENTAL DATA OF ALVES ET AL./4/ AND VAN DE VYVER AND
PATTENDEN/5/. RADIATION WIDTHS WERE BASED ON THE DATA OF
ALVES ET AL. OR AVERAGE VALUE OF 0.15 EV BY MUSGROVE ET AL./6/
ABOVE 3 KEV, PARAMETERS WERE DETERMINED FROM THE DATA OF
MUSGROVE ET AL. IN THE ENERGY RANGE BELOW 3 KEV, MANY
ARTIFICIAL LEVELS WERE GENERATED WITH STAT/7/ BY ASSUMING
D=39.3 EV, S0=0.8E-4, S1=0.48E-4 AND AVERAGE RADIATION WIDTH
OF 0.15 EV. A NEGATIVE RESONANCE WAS ADDED SO AS TO REPRODUCE
THE CAPTURE CROSS SECTION OF 5.8+-0.9 BARNS AT 0.0253 EV/8/.
FOR JENDL-3, THE JENDL-2 DATA WERE MODIFIED ON THE BASIS OF
THE LATEST EXPERIMENTAL DATA OF MIZUMOTO/9/. RESONANCE
ENERGIES AND NEUTRON WIDTHS OF JENDL-2 WERE PARTIALLY MODIFIED
WITH MIZUMOTO'S DATA IN THE ENERGY RANGE FORM 404.5 EV TO 4.95
KEV. TOTAL SPIN J OF SOME RESONANCES WAS TENTATIVELY ESTIMATED
WITH A RANDOM NUMBER METHOD. THE PARAMETERS OF NEGATIVE LEVEL
WERE ADJUSTED TO THE CAPTURE CROSS SECTION RECOMMENDED BY
MUGHABGHAB ET AL./8/
FOR JENDL-3.2, A SLIGHT MODIFICATION OF THE NEGATIVE LEVEL
WAS MADE.
UNRESOLVED RESONANCE REGION : 5.96 KEV - 100 KEV
PARAMETERS WERE ADJUSTED TO REPRODUCE THE CAPTURE CROSS
SECTION CALCULATED WITH CASTHY/10/ (JENDL-2 VALUE) BELOW 40
KEV, AND THE CAPTURE CROSS SECTION MEASURED BY MUSGROVE ET
AL./11/ ABOVE 40 KEV. THE INITIAL VALUES OF NEUTRON STRENGTH
FUNCTIONS, S0 AND S1, WERE ADOPTED FROM THE RECOMMENDATION BY
MUGHABGHAB ET AL., AND S2 WAS TAKEN FROM CALCULATION WITH
CASTHY/10/. 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 OF
MUGHABGHAB ET AL.
TYPICAL VALUES OF THE PARAMETERS AT 70 KEV:
S0 = 0.922E-4, S1 = 0.491E-4, S2 = 0.584E-4, SG = 70.2E-4,
GG = 0.150 EV, R = 5.232 FM.
CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)
2200 M/S RES. INTEG.
TOTAL 7.594 -
ELASTIC 1.798 -
CAPTURE 5.796 131
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/12/ 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 WS AND RSO OF IIJIMA-KAWAI POTENTIAL/13/.
THE OMP'S FOR CHARGED PARTICLES ARE AS FOLLOWS:
PROTON = PEREY/14/
ALPHA = HUIZENGA AND IGO/15/
DEUTERON = LOHR AND HAEBERLI/16/
HELIUM-3 AND TRITON = BECCHETTI AND GREENLEES/17/
PARAMETERS FOR THE COMPOSITE LEVEL DENSITY FORMULA OF GILBERT
AND CAMERON/18/ WERE EVALUATED BY IIJIMA ET AL./19/ 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
/20/.
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./21/.
NO. ENERGY(MEV) SPIN-PARITY
GR. 0.0 3/2 +
1 0.2210 1/2 +
2 0.2682 11/2 -
3 0.4806 5/2 +
4 0.5879 3/2 +
5 0.8550 3/2 +
6 0.8745 7/2 +
7 0.9800 3/2 +
LEVELS ABOVE 1.17 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/22/ AND NORMALIZED TO 1 MILLI-BARN AT 14 MEV.
THE GAMMA-RAY STRENGTH FUNCTION (5.93E-03) WAS ADJUSTED TO
REPRODUCE THE CAPTURE CROSS SECTION OF 250 MILLI-BARNS AT 100
KEV MEASURED BY MUSGROVE ET AL./11/
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 =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 (= 268.3) WAS ESTIMATED BY THE
FORMULA DERIVED FROM KIKUCHI-KAWAI'S FORMALISM/23/ 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) 1630.00 MB (SYSTEMATICS OF WEN DEN LU+/24/)
(N,P) 5.88 MB (SYSTEMATICS OF FORREST/25/)
(N,ALPHA) 2.64 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 = 41.8 R0 = 6.89 A0 = 0.62
WS = 2.95+0.789E RS = 7.098 AS = 0.35
VSO= 7.0 RSO= 6.89 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
---------------------------------------------------------------
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
54-XE-134 1.400E+01 6.300E-01 3.184E-01 5.224E+00 1.820E+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
55-CS-135 1.343E+01 6.537E-01 1.831E+00 4.203E+00 7.000E-01
56-BA-133 1.941E+01 5.930E-01 3.357E+00 6.465E+00 1.580E+00
56-BA-134 1.800E+01 6.100E-01 4.177E-01 7.309E+00 2.620E+00
56-BA-135 1.902E+01 5.820E-01 2.277E+00 6.108E+00 1.580E+00
56-BA-136 1.610E+01 6.500E-01 5.721E-01 6.928E+00 2.280E+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 5.285 FOR BA-135 AND 6.925 FOR BA-136.
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) KIKUCHI, Y. ET AL.: JAERI-M 86-030 (1986).
4) ALVES, R.N., ET AL.: NUCL. PHYS., A134, 118 (1969).
5) VAN DE VYVER, R.E., PATTENDEN, N.J.: NUCL. PHYS., A177, 393
(1971).
6) MUSGROVE, A.R. DE L., ET AL.: AAEC/E325 (1974).
7) KIKUCHI, Y.: JAERI-M 6248 (1975).
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PHENOMENA IN NUCLEAR REACTIONS ((EDS) H.H. BARSHALL AND
W. HAEBERLI), P. 682, THE UNIVERSITY OF WISCONSIN PRESS.
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(1965).
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21) LEDERER, C.M., ET AL.: "TABLE OF ISOTOPES, 7TH ED.", WILEY-
INTERSCIENCE PUBLICATION (1978).
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REACTIONS", NORTH HOLLAND (1968).
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