54-Xe-131
54-XE-131 JNDC EVAL-MAR90 JNDC FP NUCLEAR DATA W.G.
DIST-NOV90
----JENDL-3.2 MATERIAL 5446
-----INCIDENT NEUTRON DATA
------ENDF-6 FORMAT
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 2.25 KEV
RESONANCE PARAMETERS OF JENDL-2 WAS MODIFIED AS FOLLOWS:
EVALUATION OF JENDL-2 WAS CARRIED OUT ON THE BASIS OF THE DATA
MEASURED BY RIBON ET AL./3/ NEUTRON ORBITAL ANGULAR MOMENTUM
L WAS ASSUMED TO BE 0 FOR ALL THE 40 RESONANCE LEVELS UP TO 4
KEV. NEUTRON WIDTHS OF THE 40 LEVELS WERE DETERMINED FROM THE
2G*(NEUTRON WIDTH) MEASURED BY RIBON ET AL. HOWEVER, THE
VALUE OF TOTAL SPIN J FOR EACH RESONANCE LEVEL WAS UNKNOWN
EXCEPT 24 LEVELS ASSIGNED BY RIBON ET AL., AND THE TARGET SPIN
OF 1.5 WAS ADOPTED FOR THE J-UNKNOWN LEVELS AS THE TOTAL SPIN.
RADIATION WIDTHS WERE OBTAINED FROM THE TOTAL AND NEUTRON
WIDTHS FOR 30 LEVELS. AVERAGE RADIATION WIDTH OF 111.94 MEV
WAS DERIVED FROM THE ABOVE RADIATION WIDTHS, AND WAS ADOPTED
FOR REMAINING 10 LEVELS. A NEGATIVE RESONANCE WAS ADDED AT
-84 EV SO AS TO REPRODUCE THE THERMAL CAPTURE CROSS SECTION OF
85+-10 BARNS GIVEN BY MUGHABGHAB ET AL./4/ SCATTERING RADIUS
WAS TAKEN FROM THE GRAPH (FIG. 1, PART A) GIVEN BY MUGHABGHAB
ET AL.
FOR JENDL-3, THE TOTAL SPIN J OF 16 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.
UNRESOLVED RESONANCE REGION : 2.25 KEV - 100 KEV
UNRESOLVED RESONANCE PARAMETERS WERE ADOPTED FROM JENDL-2.
THE NEUTRON STRENGTH FUNCTIONS, S0, S1 AND S2 WERE CALCULATED
WITH OPTICAL MODEL CODE CASTHY/5/. 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.
TYPICAL VALUES OF THE PARAMETERS AT 70 KEV:
S0 = 0.700E-4, S1 = 1.580E-4, S2 = 0.990E-4, SG = 30.0E-4,
GG = 0.114 EV, R = 5.633 FM.
CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)
2200 M/S RES. INTEG.
TOTAL 109.1 -
ELASTIC 24.03 -
CAPTURE 85.03 900
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/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 BY CHANGING R0 AND RSO OF IIJIMA-KAWAI POTENTIAL/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 3/2 +
1 0.0802 1/2 +
2 0.1640 11/2 -
3 0.3418 11/2 -
4 0.3644 5/2 +
5 0.6370 7/2 +
6 0.6671 7/2 -
7 0.7230 5/2 +
8 0.8064 15/2 -
LEVELS ABOVE 0.971 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 (2.92E-03) WAS DETERMINED FROM
THE SYSTEMATICS OF RADIATION WIDTH (0.114 EV) AND AVERAGE
S-WAVE RESONANCE LEVEL SPACING (39 EV).
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 =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 (= 268.1) 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) 6.00 MB (RECOMMENDED BY FORREST/18/)
(N,ALPHA) 2.10 MB (SYSTEMATICS OF FORREST/18/)
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 = 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
---------------------------------------------------------------
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
52-TE-130 1.800E+01 5.470E-01 2.657E-01 5.735E+00 2.180E+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
53-I -131 1.600E+01 6.330E-01 2.958E+00 5.342E+00 1.040E+00
54-XE-129 1.936E+01 5.729E-01 5.108E+00 5.590E+00 1.120E+00
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
---------------------------------------------------------------
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 11.68 FOR XE-131 AND 11.02 FOR XE-132.
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.: PROC. INT. CONF. ON NUCLEAR DATA FOR SCIENCE
AND TECHNOLOGY, MITO, P. 569 (1988).
3) RIBON, P.: PRIVATE COMMUNICATION TO NEA DATA BANK (1970),
AND RIBON, P. ET AL.: CEA-N-1149 (1969).
4) MUGHABGHAB, S.F. ET AL.: "NEUTRON CROSS SECTIONS, VOL. I,
PART A", ACADEMIC PRESS (1981).
5) IGARASI, S.: J. NUCL. SCI. TECHNOL., 12, 67 (1975).
6) IIJIMA, S. ET AL.: JAERI-M 87-025, P. 337 (1987).
7) IIJIMA, S. AND KAWAI, M.: J. NUCL. SCI. TECHNOL., 20, 77
(1983).
8) PEREY, F.G: PHYS. REV. 131, 745 (1963).
9) HUIZENGA, J.R. AND IGO, G.: NUCL. PHYS. 29, 462 (1962).
10) LOHR, J.M. AND HAEBERLI, W.: NUCL. PHYS. A232, 381 (1974).
11) 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).
12) GILBERT, A. AND CAMERON, A.G.W.: CAN. J. PHYS., 43, 1446
(1965).
13) IIJIMA, S., ET AL.: J. NUCL. SCI. TECHNOL. 21, 10 (1984).
14) GRUPPELAAR, H.: ECN-13 (1977).
15) LEDERER, C.M., ET AL.: "TABLE OF ISOTOPES, 7TH ED.", WILEY-
INTERSCIENCE PUBLICATION (1978).
16) BENZI, V. AND REFFO, G.: CCDN-NW/10 (1969).
17) KIKUCHI, K. AND KAWAI, M.: "NUCLEAR MATTER AND NUCLEAR
REACTIONS", NORTH HOLLAND (1968).
18) FORREST, R.A.: AERE-R 12419 (1986).