37-Rb- 87
37-RB- 87 JNDC EVAL-MAR90 JNDC FP NUCLEAR DATA W.G.
DIST-NOV90
----JENDL-3.2 MATERIAL 3731
-----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 12.46 KEV
RESONANCE PARAMETERS OF JENDL-2 WERE MODIFIED AS FOLLOWS :
EVALUATION OF JENDL-2 WAS PERFORMED ON THE BASIS OF THE DATA
MEASURED BY OHKUBO ET AL./3/ AMONG 30 LEVELS MEASURED IN THE
ENERGY REGION UP TO 49 KEV, 28 LEVELS WERE ASSUMED TO BE
S-WAVE, AND REMAINING 2 LEVELS AT 267.1 AND 376.9 EV TO BE
P-WAVE. NEUTRON WIDTHS WERE DETERMINED FROM THE 2G*(NEUTRON
WIDTH) MEASURED BY OHKUBO ET AL. HOWEVER, THE VALUE OF TOTAL
SPIN J FOR EACH RESONANCE LEVEL WAS UNKNOWN EXCEPT ONLY 6
LEVELS ASSIGNED BY OHKUBO ET AL. THE TARGET SPIN OF 1.5 WAS
ADOPTED FOR THESE UNKNOWN LEVELS INSTEAD OF J. RADIATION
WIDTH WAS OBTAINED TO BE 166+-8 MEV FOR ONLY ONE RESONANCE
LEVEL AT 376.9 EV FROM THE MEASUREMENT BY OHKUBO ET AL.
AVERAGE RADIATION WIDTH WAS ALSO ESTIMATED TO BE 166+-30 MEV
BY OHKUBO ET AL., AND WAS ADOPTED FOR THE OTHER LEVELS.
FOR JENDL-3, THE TOTAL SPIN J OF 24 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. RADIATION WIDTH OF THE 2ND LEVEL AT 376.9
EV AND AVERAGE RADIATION WIDTH WERE ALSO MODIFIED TO 115.33
AND 115.0 MEV, RESPECTIVELY, SO AS TO REPRODUCE THE THERMAL
CAPTURE CROSS SECTION OF 120+-30 MB GIVEN BY MUGHABGHAB ET
AL./4/ SCATTERING RADIUS WAS TAKEN FROM THE GRAPH (FIG. 1,
PART A) GIVEN BY MUGHABGHAB ET AL.
UNRESOLVED RESONANCE REGION : 12.46 KEV - 100 KEV
UNRESOLVED RESONANCE PARAMETERS WERE ADOPTED FROM JENDL-2.
THE NEUTRON STRENGTH FUNCTION, S0, WAS TAKEN FROM THE
RECOMMENDATION IN REF./5/, AND S1 AND S2 WERE CALCULATED WITH
OPTICAL MODEL CODE CASTHY/6/. THE OBSERVED LEVEL SPACING WERE
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 BNL-325
(3RD ED.)/5/.
TYPICAL VALUES OF THE PARAMETERS AT 70 KEV:
S0 = 1.600E-4, S1 = 2.920E-4, S2 = 0.650E-4, SG = 0.987E-4,
GG = 0.290 EV, R = 6.423 FM.
CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)
2200 M/S RES. INTEG.
TOTAL 4.479 -
ELASTIC 4.359 -
CAPTURE 0.1200 2.72
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/7/ 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, RS AND RSO OF IIJIMA-KAWAI POTENTIAL/8/.
THE OMP'S FOR CHARGED PARTICLES ARE AS FOLLOWS:
PROTON = PEREY/9/
ALPHA = HUIZENGA AND IGO/10/
DEUTERON = LOHR AND HAEBERLI/11/
HELIUM-3 AND TRITON = BECCHETTI AND GREENLEES/12/
PARAMETERS FOR THE COMPOSITE LEVEL DENSITY FORMULA OF GILBERT
AND CAMERON/13/ WERE EVALUATED BY IIJIMA ET AL./14/ 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
/15/.
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./16/.
NO. ENERGY(MEV) SPIN-PARITY
GR. 0.0 3/2 -
1 0.4030 5/2 -
2 0.8458 1/2 -
3 1.4630 3/2 -
4 1.5785 9/2 +
5 1.7410 5/2 -
6 2.4150 7/2 +
7 2.5560 5/2 +
LEVELS ABOVE 2.811 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/17/ AND NORMALIZED TO 1 MILLI-BARN AT 14 MEV.
THE GAMMA-RAY STRENGTH FUNCTION (1.125E-04) WAS ADJUSTED TO
REPRODUCE THE CAPTURE CROSS SECTION OF 30 MILLI-BARNS AT 25
KEV MEASURED BY KONONOV ET AL./18/ FINALLY, THE CROSS SECTION
WAS MODIFIED BY MULTIPLYING AN ENERGY-DEPENDENT FACTOR SO AS
TO REPRODUCE THE EXPERIMENTAL DATA /19,20/ IN THE ENERGY
RANGE FROM 100 KEV TO 10 MEV.
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 (= 322.2) WAS ESTIMATED BY THE
FORMULA DERIVED FROM KIKUCHI-KAWAI'S FORMALISM/21/ 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) 1300.00 MB (RECOMMENDED BY BYCHKOV+/22/)
(N,P) 11.80 MB (RECOMMENDED BY FORREST/23/)
(N,ALPHA) 3.80 MB (RECOMMENDED BY 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 = 46.0-0.25E R0 = 5.7 A0 = 0.62
WS = 7.0 RS = 6.2 AS = 0.35
VSO= 7.0 RSO= 5.7 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
---------------------------------------------------------------
35-BR- 83 1.324E+01 7.830E-01 2.683E+00 6.978E+00 1.460E+00
35-BR- 84 * 1.302E+01 7.738E-01 1.393E+01 5.216E+00 0.0
35-BR- 85 1.100E+01 7.000E-01 7.248E-01 3.841E+00 9.300E-01
35-BR- 86 * 9.718E+00 7.558E-01 1.999E+00 2.830E+00 0.0
36-KR- 84 9.970E+00 9.600E-01 4.942E-01 8.590E+00 2.630E+00
36-KR- 85 1.024E+01 8.900E-01 1.570E+00 6.261E+00 1.170E+00
36-KR- 86 9.052E+00 8.686E-01 2.185E-01 5.874E+00 2.100E+00
36-KR- 87 9.400E+00 8.860E-01 8.826E-01 5.481E+00 1.170E+00
37-RB- 85 1.190E+01 8.690E-01 2.827E+00 7.561E+00 1.460E+00
37-RB- 86 1.002E+01 8.500E-01 3.954E+00 4.312E+00 0.0
37-RB- 87 8.806E+00 9.410E-01 1.125E+00 5.465E+00 9.300E-01
37-RB- 88 9.801E+00 8.185E-01 2.880E+00 3.704E+00 0.0
---------------------------------------------------------------
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 5.214 FOR RB- 87 AND 5.0 FOR RB- 88.
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).
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NUCL. SCI. TECH. 21, 254 (1984).
4) MUGHABGHAB, S.F. ET AL.: "NEUTRON CROSS SECTIONS, VOL. I,
PART A", ACADEMIC PRESS (1981).
5) MUGHABGHAB, S.F. AND GARBER, D.I.: "NEUTRON CROSS SECTIONS,
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18) KONONOV, V.N., ET AL.: AT. ENERG. 5, 514 (1958).
19) DOVBENKO, A.G., ET AL.: ATOM. ENERGIJA, 23, 151 (1967).
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REACTIONS", NORTH HOLLAND (1968).
22) BYCHKOV, V.M. ET AL.: INDC(CCP)-146/LJ (1980).
23) FORREST, R.A.: AERE-R 12419 (1986).