53-I -129
53-I -129 JNDC EVAL-MAR90 JNDC FP NUCLEAR DATA W.G.
DIST-MAR02 REV2-FEB02 20020222
----JENDL-3.3 MATERIAL 5331
-----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/.
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 3.391 KEV
RESONANCE PARAMETERS OF JENDL-2 WERE MODIFIED AS FOLLOWS :
EVALUATION FOR JENDL-2 WAS CARRIED OUT ON THE BASIS OF THE
DATA MEASURED BY MACKLIN/3/. RESONANCE ENERGIES FOR 125
LEVELS WERE BASED ON THE MEASUREMENT BY MACKLIN EXCEPT THE 1ST
LEVEL. NEUTRON ORBITAL ANGULAR MOMENTUM L WAS ASSUMED TO BE 0
FOR ALL RESONANCE LEVELS. RADIATION WIDTH FOR EACH RESONANCE
LEVEL WAS NOT GIVEN BY MACKLIN. THEREFORE, AVERAGE RADIATION
WIDTH OF 120 MEV WAS ASSUMED BY TAKING ACCOUNT OF THE MAXIMUM
VALUE (58.5 MEV) OF NEUTRON CAPTURE AREAS MEASURED BY MACKLIN.
NEUTRON WIDTHS WERE DERIVED FROM THE NEUTRON CAPTURE AREAS AND
THE AVERAGE RADIATION WIDTH. SINCE THE VALUES OF TOTAL SPIN
FOR ALL RESONANCE LEVELS WERE UNKNOWN, THE TARGET SPIN OF 3.5
WAS ADOPTED AS THEIR TOTAL SPIN. A NEGATIVE RESONANCE WAS
ADDED AT -10 EV SO AS TO REPRODUCE THE THERMAL CAPTURE CROSS
SECTION OF 27 BARNS GIVEN BY MUGHABGHAB ET AL./4/ SCATTERING
RADIUS WAS TAKEN FROM THE GRAPH (FIG. 1, PART A) GIVEN IN
REF./4/.
FOR JENDL-3, THE TOTAL SPIN OF 126 RESONANCE LEVELS WAS
TENTATIVELY ESTIMATED WITH A RANDOM NUMBER METHOD. NEUTRON
WIDTHS OF THESE LEVELS WERE MODIFIED ON THE BASIS OF THE
ESTIMATED J-VALUES. NEUTRON AND RADIATION WIDTHS OF THE
NEGATIVE RESONANCE LEVEL WERE ALSO MODIFIED SO AS TO REPRODUCE
THE THERMAL CAPTURE CROSS SECTION ACCORDING TO THE ABOVE
MODIFICATION OF THE NEUTRON WIDTHS.
UNRESOLVED RESONANCE REGION : 3.391 KEV - 100 KEV
UNRESOLVED RESONANCE PARAMETERS WERE ADOPTED FROM JENDL-2.
THE PARAMETERS WERE ADJUSTED TO REPRODUCE THE CAPTURE CROSS
SECTION MEASURED BY MACKLIN /3/. THE EFFECTIVE SCATTERING
RADIUS WAS OBTAINED FROM FITTING TO THE CALCULATED TOTAL CROSS
SECTION AT 100 KEV.
TYPICAL VALUES OF THE PARAMETERS AT 70 KEV:
S0 = 0.532E-4, S1 = 1.332E-4, S2 = 0.887E-4, SG = 51.8E-4,
GG = 0.160 EV, R = 5.390 FM.
CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)
2200 M/S RES. INTEG.
TOTAL 33.47 -
ELASTIC 6.471 -
CAPTURE 27.00 29.4
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/5/, BY TAKING ACCOUNT OF
COMPETING REACTIONS, OF WHICH CROSS SECTIONS WERE CALCULATED
WITH PEGASUS/6/ 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, CHANGED FROM R0 AND RSO OF IIJIMA AND KAWAI/7/. THE
OMP'S FOR CHARGED PARTICLES ARE AS FOLLOWS:
PROTON = PEREY/8/
ALPHA = HUIZENGA AND IGO/9/
DEUTERON = LOHR AND HAEBERLI/10/
HELIUM-3 AND TRITON = BECCHETTI AND GREENLEES/11/
PARAMETERS FOR THE COMPOSITE LEVEL DENSITY FORMULA OF GILBERT
AND CAMERON/12/ WERE EVALUATED BY IIJIMA ET AL./13/ 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
/14/.
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./15/
NO. ENERGY(MEV) SPIN-PARITY
GR. 0.0 7/2 +
1 0.0278 5/2 +
2 0.2784 3/2 +
3 0.4874 5/2 +
4 0.5596 1/2 +
5 0.6960 11/2 +
6 0.7296 9/2 +
7 0.7689 7/2 +
8 0.8299 3/2 +
9 0.8450 7/2 +
10 1.0470 3/2 +
11 1.0504 7/2 +
12 1.1117 5/2 +
13 1.2100 1/2 +
14 1.2608 5/2 +
15 1.2821 3/2 +
16 1.2922 1/2 +
17 1.4016 9/2 +
18 1.4835 1/2 +
LEVELS ABOVE 1.55 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/16/ AND NORMALIZED TO 1 MILLI-BARN AT 14 MEV.
THE GAMMA-RAY STRENGTH FUNCTION (5.13E-03) WAS ADJUSTED TO
REPRODUCE THE CAPTURE CROSS SECTION OF 215 MILLI-BARNS AT 100
KEV MEASURED BY MACKLIN./3/
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 (= 221.7) 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) 1500.00 MB (SYSTEMATICS OF WEN DEN LU+/18/)
(N,P) 3.64 MB (SYSTEMATICS OF FORREST/19/)
(N,ALPHA) 1.86 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 FROM OVERLAPPING LEVELS AND FOR
OTHER NEUTRON EMITTING REACTIONS.
TABLE 1 NEUTRON OPTICAL POTENTIAL PARAMETERS
DEPTH (MEV) RADIUS(FM) DIFFUSENESS(FM)
---------------------- ------------ ---------------
V = 45.97-0.199E R0 = 6.481 A0 = 0.62
WS = 6.502 RS = 6.926 AS = 0.35
VSO= 7.0 RSO= 6.49 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
---------------------------------------------------------------
51-SB-125 1.700E+01 5.120E-01 7.883E-01 3.792E+00 1.090E+00
51-SB-126 1.700E+01 5.250E-01 7.566E+00 2.897E+00 0.0
51-SB-127 1.700E+01 5.120E-01 6.326E-01 3.902E+00 1.200E+00
51-SB-128 1.468E+01 5.600E-01 4.264E+00 2.658E+00 0.0
52-TE-126 1.706E+01 6.100E-01 5.154E-01 6.554E+00 2.230E+00
52-TE-127 2.004E+01 5.380E-01 3.633E+00 5.165E+00 1.140E+00
52-TE-128 1.800E+01 6.090E-01 6.586E-01 7.010E+00 2.340E+00
52-TE-129 2.015E+01 5.350E-01 3.588E+00 5.141E+00 1.140E+00
53-I -127 1.717E+01 6.263E-01 4.458E+00 5.757E+00 1.090E+00
53-I -128 1.715E+01 6.200E-01 2.329E+01 4.542E+00 0.0
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
---------------------------------------------------------------
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 5.277 FOR I -129 AND 5.0 FOR I -130.
REFERENCES
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AND APPLIED SCIENCE, SANTA FE., VOL. 2, P.1627 (1985).
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AND TECHNOLOGY, MITO, P. 569 (1988).
3) MACKLIN, R.L.: NUCL. SCI. ENG., 85, 350 (1983).
4) MUGHABGHAB, S.F. ET AL.: "NEUTRON CROSS SECTIONS, VOL. I,
PART A", ACADEMIC PRESS (1981).
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6) IIJIMA, S. ET AL.: JAERI-M 87-025, P. 337 (1987).
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(1983).
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10) LOHR, J.M. AND HAEBERLI, W.: NUCL. PHYS. A232, 381 (1974).
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16) BENZI, V. AND REFFO, G.: CCDN-NW/10 (1969).
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REACTIONS", NORTH HOLLAND (1968).
18) WEN DEN LU AND FINK, R.W.: PHYS. REV., C4, 1173 (1971).
19) FORREST, R.A.: AERE-R 12419 (1986).