64-Gd-157
64-GD-157 JNDC EVAL-MAR90 JNDC FP NUCLEAR DATA W.G.
DIST-NOV90
----JENDL-3.2 MATERIAL 6440
-----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 PARAMETERS FOR MLBW FORMULA (BELOW 303.7 EV)
RESONANCE PARAMETERS WERE BASED ON JENDL-2, AND TOTAL SPIN J
OF SOME RESONANCES WAS ESTIMATED FOR JENDL-3 WITH A RANDOM
NUMBER METHOD. EVALUATION FOR JENDL-2 WAS MADE ON THE BASIS
OF THE DATA MEASURED BY MOLLER ET AL./3/, RIBON/4/ AND
KARZHAVINA ET AL./5/ THE AVERAGE RADIATION WIDTH OF 0.121 EV
WAS ASSUMED. THE SCATTERING RADIUS WAS TAKEN FROM MUGHABGHAB
AND GARBER/6/
UNRESOLVED RESONANCE REGION : 0.3037 KEV - 100 KEV
THE NEUTRON STRENGTH FUNCTION S0 WAS BASED ON THE COMPILATION
OF MUGHABGHAB/7/, AND S1 AND S2 WERE CALCULATED WITH OPTICAL
MODEL CODE CASTHY/8/. 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 COMPILATION OF
MUGHABGHAB.
TYPICAL VALUES OF THE PARAMETERS AT 70 KEV:
S0 = 1.900E-4, S1 = 1.100E-4, S2 = 2.300E-4, SG = 233.E-4,
GG = 0.097 EV, R = 6.881 FM.
CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)
2200 M/S RES. INTEG.
TOTAL 255085 -
ELASTIC 1007 -
CAPTURE 254078 763
(N,ALPHA) 4.775E-04
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/9/ STANDING ON A PREEQUILIBRIUM AND MULTI-STEP
EVAPORATION MODEL. THE OMP'S FOR NEUTRON GIVEN IN TABLE 1 WERE
ADOPTED FROM IIJIMA AND KAWAI/10/, AND WS WAS CHANGED. 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
GR. 0.0 3/2 -
1 0.0545 5/2 -
2 0.0640 5/2 +
3 0.1158 7/2 +
4 0.1315 7/2 -
5 0.1810 9/2 +
6 0.2274 9/2 -
7 0.3460 11/2 -
8 0.3600 13/2 +
9 0.4250 11/2 -
10 0.4366 5/2 -
11 0.4772 3/2 +
12 0.5170 7/2 -
13 0.5270 5/2 +
14 0.6170 9/2 -
15 0.6390 15/2 -
16 0.6830 3/2 +
17 0.6850 1/2 +
18 0.6870 3/2 +
19 0.7000 3/2 -
20 0.7040 1/2 -
21 0.7210 9/2 +
22 0.7450 3/2 -
23 0.7510 5/2 -
24 0.7650 7/2 -
25 0.7910 5/2 -
26 0.8100 3/2 -
27 0.8130 7/2 -
28 0.8390 5/2 -
LEVELS ABOVE 0.85 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/19/ AND NORMALIZED TO 1 MILLI-BARN AT 14 MEV.
THE GAMMA-RAY STRENGTH FUNCTION (2.23E-02) WAS ADJUSTED TO
REPRODUCE THE CAPTURE CROSS SECTION OF 560 MILLI-BARNS AT 100
KEV MEASURED BY SHORIN ET AL./20/ AND BY NAKAJIMA ET AL.
/21/
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 (= 175.4) WAS ESTIMATED BY THE
FORMULA DERIVED FROM KIKUCHI-KAWAI'S FORMALISM/22/ 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+/23/)
(N,P) 5.40 MB (RECOMMENDED BY FORREST/24/)
(N,ALPHA) 1.49 MB (SYSTEMATICS OF FORREST/24/)
THE (N,ALPHA) CROSS SECTION BELOW 303.7 EV WAS CALCULATED
FROM RESONANCE PARAMETERS, BY ASSUMING A MEAN ALPHA WIDTH OF
2.0E-10 EV SO AS TO REPRODUCE THE THERMAL CROSS SECTION/7/.
THE CROSS SECTION WAS AVERAGED IN SUITABLE ENERGY INTERVALS.
ABOVE 303.7 EV, THE CROSS SECTION WAS CONNECTED SMOOTHLY TO
THE PEGASUS CALCULATION.
MT = 251 MU-BAR
CALCULATED WITH CASTHY/8/.
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 = 38.0 R0 = 7.439 A0 = 0.47
WS = 8.0 RS = 7.439 AS = 0.52
VSO= 7.0 RSO= 7.439 ASO= 0.47
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
---------------------------------------------------------------
62-SM-153 2.572E+01 5.160E-01 2.101E+01 6.405E+00 1.220E+00
62-SM-154 2.190E+01 5.600E-01 1.960E+00 7.188E+00 2.140E+00
62-SM-155 2.402E+01 5.080E-01 8.478E+00 5.767E+00 1.220E+00
62-SM-156 * 2.260E+01 5.145E-01 1.309E+00 6.251E+00 1.950E+00
63-EU-154 2.267E+01 4.320E-01 1.644E+01 2.784E+00 0.0
63-EU-155 2.083E+01 5.200E-01 5.190E+00 4.837E+00 9.200E-01
63-EU-156 2.084E+01 4.030E-01 6.286E+00 1.992E+00 0.0
63-EU-157 1.975E+01 5.400E-01 6.628E+00 4.704E+00 7.300E-01
64-GD-155 2.500E+01 5.100E-01 2.181E+01 5.822E+00 9.700E-01
64-GD-156 2.254E+01 5.200E-01 1.630E+00 6.286E+00 1.890E+00
64-GD-157 2.278E+01 5.210E-01 1.077E+01 5.454E+00 9.700E-01
64-GD-158 2.155E+01 5.420E-01 2.479E+00 6.260E+00 1.700E+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 8.107 FOR GD-157 AND 6.845 FOR GD-158.
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) MOLLER, H.B., ET AL.: NUCL. SCI. ENG., 8, 183 (1960).
4) RIBON, P.: CEA-N-1149 (1969).
5) KARZHAVINA, E.N., ET AL.: JADERNO-FIZICHESKIE ISSLEDOVANIJA,
6, 135 (1968).
6) MUGHABGHAB, S.F. AND GARBER, D.I.: "NEUTRON CROSS SECTIONS,
VOL.1, RESONANCE PARAMETERS", BNL 325, 3RD ED., VOL. 1,
(1973).
7) MUGHABGHAB, S.F.: "NEUTRON CROSS SECTIONS, VOL. I, PART B",
ACADEMIC PRESS (1984).
8) IGARASI, S.: J. NUCL. SCI. TECHNOL., 12, 67 (1975).
9) IIJIMA, S. ET AL.: JAERI-M 87-025, P. 337 (1987).
10) IIJIMA, S. AND KAWAI, M.: J. NUCL. SCI. TECHNOL., 20, 77
(1983).
11) PEREY, F.G: PHYS. REV. 131, 745 (1963).
12) HUIZENGA, J.R. AND IGO, G.: NUCL. PHYS. 29, 462 (1962).
13) LOHR, J.M. AND HAEBERLI, W.: NUCL. PHYS. A232, 381 (1974).
14) 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).
15) GILBERT, A. AND CAMERON, A.G.W.: CAN. J. PHYS., 43, 1446
(1965).
16) IIJIMA, S., ET AL.: J. NUCL. SCI. TECHNOL. 21, 10 (1984).
17) GRUPPELAAR, H.: ECN-13 (1977).
18) MATSUMOTO, J.: PRIVATE COMMUNICATION (1981).
19) BENZI, V. AND REFFO, G.: CCDN-NW/10 (1969).
20) SHORIN, V.S., ET AL.: SOV. J. MUCL. PHYS., 19, 2 (1974).
21) NAKAJIMA, Y., ET AL.: ANN. NUCL. ENERGY, 16, 589 (1989).
22) KIKUCHI, K. AND KAWAI, M.: "NUCLEAR MATTER AND NUCLEAR
REACTIONS", NORTH HOLLAND (1968).
23) WEN DEN LU AND FINK, R.W.: PHYS. REV., C4, 1173 (1971).
24) FORREST, R.A.: AERE-R 12419 (1986).