56-Ba-138
56-BA-138 JNDC EVAL-MAR90 JNDC FP NUCLEAR DATA W.G.
DIST-MAR02 REV3-FEB02 20020222
----JENDL-3.3 MATERIAL 5649
-----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/.
93-10 JENDL-3.2 WAS MADE BY JNDC FPND W.G.
***** MODIFIED PARTS FOR JENDL-3.2 ********************
(2,151) RESOLVED RESONANCE PARAMETERS
(3,102) RE-NORMALIZATION
(3,2), (3,4), (3,51-91) AND ANGULAR DISTRIBUTIONS
SMALL EFFECTS OF THE RE-NORMALIZATION OF
CAPTURE CROSS SECTION. ( < 0.3% )
***********************************************************
MF = 1 GENERAL INFORMATION
MT=451 COMMENTS AND DICTIONARY
MF = 2 RESONANCE PARAMETERS
MT=151 RESOLVED AND UNRESOLVED RESONANCE PARAMETERS
RESOLVED RESONANCE PARAMETERS FOR MLBW FORMULA (BELOW 100 KEV)
FOR JENDL-2, EVALUATION WAS MADE BY KIKUCHI /3/ MAINLY ON
THE BASIS OF THE DATA MEASURED BY MUSGROVE ET AL./4/ UP TO 92
KEV. ABOVE 100 KEV, NEUTRON WIDTHS WERE ADOPTED FROM BILPUCH
ET AL./5/ AVERAGE CAPTURE WIDTHS WERE ASSUMED TO BE 0.055+-
0.020 EV FOR S-WAVE RESONANCES AND 0.045+-0.020 EV FOR P-WAVE
ONES, AND TO BE 0.095 EV IN THE ENERGY RANGE ABOVE 100 KEV. A
NEGATIVE RESONANCE WAS ADDED AT -6.22 KEV SO AS TO REPRODUCE
THE CAPTURE CROSS SECTION OF 0.360+-0.036 BARNS AT 0.0253
EV/6/.
FOR JENDL-3, 10 RESONANCES WERE NEWLY ASIGNED BY TAKING THE
EXPERIMENTAL DATA BY MIZUMOTO/7/ IN THE ENERGY RANGE FROM 648
EV TO 63.12 KEV. TOTAL SPIN J OF SOME RESONANCES WAS TENTA-
TIVELY ESTIMATED WITH A RANDOM NUMBER METHOD
NO UNRESOLVED RESONANCE REGION
CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)
2200 M/S RES. INTEG.
TOTAL 5.9090 -
ELASTIC 5.5499 -
CAPTURE 0.3591 0.265
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/8/, BY TAKING ACCOUNT OF
COMPETING REACTIONS, OF WHICH CROSS SECTIONS WERE CALCULATED
WITH PEGASUS/9/ 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 BA-NAT. TOTAL
CROSS SECTION BY CHANGING WS AND RSO OF IIJIMA-KAWAI POTENTIAL
/10/. THE OMP'S FOR CHARGED PARTICLES ARE AS FOLLOWS:
PROTON = PEREY/11/
ALPHA = HUIZENGA AND IGO/12/
DEUTERON = LOHR AND HAEBERLI/13/
HELIUM-3 AND TRITON = BECCHETTI AND GREENLEES/14/
PARAMETERS FOR THE COMPOSITE LEVEL DENSITY FORMULA OF GILBERT
AND CAMERON/15/ WERE EVALUATED BY IIJIMA ET AL./16/ 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
/17/.
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./18/.
NO. ENERGY(MEV) SPIN-PARITY DWBA CAL.
GR. 0.0 0 +
1 1.4359 2 + *
2 1.8987 4 +
3 2.0907 6 +
4 2.1896 2 +
5 2.2032 6 +
6 2.2180 2 +
7 2.3077 4 +
8 2.4156 5 +
9 2.4457 3 +
10 2.5832 1 +
11 2.5840 4 +
12 2.6396 2 +
13 2.7795 4 +
14 2.8517 3 +
15 2.8810 3 - *
16 2.9315 1 +
17 2.9912 3 +
18 3.0500 2 +
19 3.1560 4 +
LEVELS ABOVE 3.164 MEV WERE ASSUMED TO BE OVERLAPPING.
FOR THE LEVELS WITH AN ASTERISK, THE CONTRIBUTION OF DIRECT
INELASTIC SCATTERING CROSS SECTIONS WAS CALCULATED BY THE
DWUCK-4 CODE/19/. DEFORMATION PARAMETERS (BETA2 = 0.0925 AND
BETA3 = 0.118) WERE BASED ON THE DATA COMPILED BY RAMAN ET
AL./20/ AND SPEAR/21/, RESPECTIVELY.
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 (2.54E-06) WAS ADJUSTED TO THE
CAPTURE CROSS SECTION OF 2.7 MILLI-BARNS AT 700 KEV SO AS TO
REPRODUCE THE CROSS SECTION MEASURED BY JOHNSRUD ET AL./23/
AND STAVISSKIJ AND TOLSTIKOV/24/
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.
THE KALBACH'S CONSTANT K (= 144.6) WAS ESTIMATED BY THE
FORMULA DERIVED FROM KIKUCHI-KAWAI'S FORMALISM/25/ 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) 1750.00 MB (SYSTEMATICS OF WEN DEN LU+/26/)
(N,P) 2.80 MB (MEASURED BY IKEDA+/27/)
(N,ALPHA) 2.10 MB (MEASURED BY IKEDA+)
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. CONTRIBUTION OF DIRECT INELASTIC
SCATTERING WAS CALCULATED WITH DWUCK-4. FOR OTHER REACTIONS,
ISOTROPIC DISTRIBUTIONS 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 A(1/MEV) T(MEV) C(1/MEV) EX(MEV) PAIRING
---------------------------------------------------------------
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
56-BA-136 1.610E+01 6.500E-01 5.721E-01 6.928E+00 2.280E+00
56-BA-137 1.645E+01 5.640E-01 5.394E-01 4.905E+00 1.580E+00
56-BA-138 1.390E+01 7.200E-01 4.123E-01 7.233E+00 2.430E+00
56-BA-139 2.022E+01 4.800E-01 5.326E-01 4.629E+00 1.580E+00
---------------------------------------------------------------
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 7.914 FOR BA-138 AND 5.0 FOR BA-139.
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).
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5) BILPUCH, E.G., ET AL.: ANN. PHYS., 14, 387 (1961).
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(1983).
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18) MATSUMOTO, J.: PRIVATE COMMUNICATION (1981).
19) KUNZ, P.D.: PRIVATE COMMUNICATION.
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(1987)
21) SPEAR, R.H.: ATOM. DATA AND NUCL. DATA TABLE, 42, 55 (1989).
22) BENZI, V. AND REFFO, G.: CCDN-NW/10 (1969).
23) JOHNSRUD, A.E. ET AL.: PHYS. REV., 116, 927 (1959).
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(1961). EXFOR 40642004.
25) KIKUCHI, K. AND KAWAI, M.: "NUCLEAR MATTER AND NUCLEAR
REACTIONS", NORTH HOLLAND (1968).
26) WEN DEN LU AND FINK, R.W.: PHYS. REV., C4, 1173 (1971).
27) IKEDA, Y. ET AL.: JAERI 1312 (1988).