55-Cs-133

 55-CS-133 JNDC       EVAL-MAR90 JNDC FP NUCLEAR DATA W.G.        
                      DIST-SEP90                                  
----JENDL-3.2         MATERIAL 5525                               
-----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/.                       
92-01 COMMENTS (1,451) WERE CORRECTED.                            
                                                                  
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 5.98 KEV       
    RESONANCE PARAMETERS OF JENDL-2 WERE MODIFIED AS FOLLOWS :    
    EVALUATION FOR JENDL-2 WAS PERFORMED ON THE BASIS OF DATA     
    MEASURED BY HARVEY ET AL./3/, GARG ET AL./4/, JUNG ET AL./5/, 
    THOMAS ET AL./6/, RIEHS AND THOMAS/7/, ANUFRIEV ET AL./8/ AND 
    MACKLIN/9/.  TWO NEGATIVE RESONANCES WERE ADOPTED FROM        
    MUGHABGHAB ET AL. /10/ AND PARAMETERS OF THE NEGATIVE AND     
    LOWEST TWO RESONANCES WERE SLIGHTLY ADJUSTED SO AS TO         
    REPRODUCE THE CAPTURE CROSS SECTION OF 29+-1.5 BARNS AT 0.0253
    EV AND THE NEUTRON RESONANCE CAPTURE INTEGRAL OF 437+-26 BARNS
    GIVEN BY MUGHABGHAB ET AL.  HOWEVER, THE VALUES OF TOTAL SPIN 
    J FOR MOST OF RESONANCE LEVELS WERE UNKNOWN EXCEPT THE 30     
    LEVELS IN THE LOW ENERGY REGION BELOW 800 EV, AND TARGET SPIN 
    OF 3.5 WAS ADOPTED FOR THE ABOVE LEVELS AS THE TOTAL SPIN.    
                                                                  
    FOR JENDL-3, RESONANCE ENERGIES BELOW 500 EV WERE SOMEWHAT    
    MODIFIED BY REVIEWING THE EXPERIMENTAL DATA /3/ MENTIONED     
    ABOVE, AND THE 7 RESONANCE LEVELS WERE ADDED ON THE BASIS OF  
    THE MEASUREMENTS BY POPOV AND TSHETSYAK/11/, BY GARG ET AL.,  
    BY ANUFRIEV ET AL., AND BY NAKJIMA ET AL./12/ THE VALUES OF   
    NEUTRON ORBITAL ANGULAR MOMENTUM L WERE ASSUMED TO BE 0 FOR   
    ALL THE RESONANCE LEVELS.  THE J-VALUES FOR THE J-UNKNOWN     
    LEVELS WERE TENTATIVELY ESTIMATED WITH A RANDOM NUMBER METHOD.
    ACCORDING TO NEW ESTIMATION OF THE J-VALUES, NEUTRON AND      
    RADIATION WIDTHS FOR MOST OF RESONANCE LEVELS WERE ALSO       
    MODIFIED ON THE BASIS OF THE MEASURED DATA OF 2G*(NEUTRON     
    WIDTH), TOTAL WIDTH, AND NEUTRON CAPTURE AREA.  AVERAGE       
    RADIATION WIDTH OF 120.48 MEV WAS DERIVED FROM THE DATA OF    
    RADIATION WIDTHS MEASURED BY MACKLIN, AND WAS ADOPTED FOR MANY
    RESONANCE LEVELS WHOSE RADIATION WIDTH WAS UNKNOWN.  NEUTRON  
    AND RADIATION WIDTH FOR THE TWO NEGATIVE RESONANCE LEVELS WERE
    ALSO MODIFIED SO AS TO REPRODUCE THE THERMAL CAPTURE CROSS    
    SECTION OF 29.0+-1.5 BARNS GIVEN BY MUGHABGHAB ET AL.         
    SCATTERING RADIUS WAS ALSO TAKEN FROM MUGHABGHAB ET AL.       
                                                                  
  UNRESOLVED RESONANCE REGION : 5.98 KEV - 100 KEV                
    THE NEUTRON STRENGTH FUNCTION S0 WAS BASED ON THE COMPILATION 
    OF MUGHABGHAB ET AL., AND S1 AND S2 WERE CALCULATED WITH      
    OPTICAL MODEL CODE CASTHY/13/.  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 ET AL.                                             
                                                                  
  TYPICAL VALUES OF THE PARAMETERS AT 70 KEV:                     
    S0 = 0.700E-4, S1 = 1.400E-4, S2 = 1.300E-4, SG = 56.6E-4,    
    GG = 0.120 EV, R  = 5.839 FM.                                 
                                                                  
  CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)   
                     2200 M/S               RES. INTEG.           
      TOTAL          33.30                     -                  
      ELASTIC         4.294                    -                  
      CAPTURE        29.00                    396                 
                                                                  
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/14/ STANDING ON A PREEQUILIBRIUM AND MULTI-STEP    
  EVAPORATION MODEL.  THE OMP'S FOR NEUTRON GIVEN IN TABLE 1 WERE 
  DETERMINED BY IGARASI ET AL./15/ TO REPRODUCE A SYSTEMATIC      
  TREND OF THE TOTAL CROSS SECTION.  THE OMP'S FOR CHARGED        
  PARTICLES ARE AS FOLLOWS:                                       
     PROTON   = PEREY/16/                                         
     ALPHA    = HUIZENGA AND IGO/17/                              
     DEUTERON = LOHR AND HAEBERLI/18/                             
     HELIUM-3 AND TRITON = BECCHETTI AND GREENLEES/19/            
  PARAMETERS FOR THE COMPOSITE LEVEL DENSITY FORMULA OF GILBERT   
  AND CAMERON/20/ WERE EVALUATED BY IIJIMA ET AL./21/  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
  /22/.                                                           
                                                                  
  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./23/            
                                                                  
           NO.      ENERGY(MEV)    SPIN-PARITY                    
           GR.       0.0            7/2 +                         
            1        0.0810         5/2 +                         
            2        0.1616         5/2 +                         
            3        0.3839         3/2 +                         
            4        0.4370         1/2 +                         
            5        0.6050        11/2 -                         
            6        0.6325        11/2 +                         
            7        0.6412         3/2 +                         
            8        0.7060         7/2 +                         
            9        0.7687         9/2 +                         
           10        0.7870         7/2 +                         
           11        0.8190         9/2 +                         
           12        0.8718         9/2 +                         
           13        0.9170         3/2 +                         
      LEVELS ABOVE 0.95 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/24/ AND NORMALIZED TO 1 MILLI-BARN AT 14 MEV.       
                                                                  
    THE GAMMA-RAY STRENGTH FUNCTION (5.28E-03) WAS ADJUSTED TO    
    REPRODUCE THE CAPTURE CROSS SECTION OF 521 MILLI-BARNS AT 30  
    KEV MEASURED BY YAMAMURO ET AL./25/ AND BY MACKLIN/9/.        
                                                                  
  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 =106  (N,HE3) 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 (= 262.4) WAS ESTIMATED BY THE       
    FORMULA DERIVED FROM KIKUCHI-KAWAI'S FORMALISM/26/ 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)         10.50  MB (RECOMMENDED BY FORREST/27/)        
      (N,ALPHA)      1.60  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 TO 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 = 6.521    A0 = 0.62         
        WI = 0.125E-0.0004E**2    RI = 6.521    AI = 0.62         
        WS = 7.0                  RS = 7.021    AS = 0.35         
        VSO= 7.0                  RSO= 6.521    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    
 ---------------------------------------------------------------  
 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  
 53-I -132     1.550E+01 6.000E-01 8.595E+00 3.552E+00 0.0        
                                                                  
 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  
 54-XE-133     1.600E+01 6.250E-01 2.327E+00 5.284E+00 1.120E+00  
                                                                  
 55-CS-131  *  1.705E+01 5.750E-01 1.633E+00 4.913E+00 1.200E+00  
 55-CS-132  *  1.676E+01 5.726E-01 1.123E+01 3.569E+00 0.0        
 55-CS-133     1.750E+01 6.000E-01 3.784E+00 5.352E+00 1.040E+00  
 55-CS-134     1.598E+01 6.450E-01 1.710E+01 4.505E+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 8.076 FOR CS-133 AND 11.67 FOR CS-134.             
                                                                  
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    (1971).                                                       
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    (1965).                                                       
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22) GRUPPELAAR, H.: ECN-13 (1977).                                
23) MATSUMOTO, J., ET AL.: JAERI-M 7734 (1978).                   
24) BENZI, V. AND REFFO, G.: CCDN-NW/10 (1969).                   
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26) KIKUCHI, K. AND KAWAI, M.: "NUCLEAR MATTER AND NUCLEAR        
    REACTIONS", NORTH HOLLAND (1968).                             
27) FORREST, R.A.: AERE-R 12419 (1986).