97-Bk-250

 97-BK-250 JAERI      EVAL-MAR87 T.NAKAGAWA                       
 JAERI-M 88-004       DIST-SEP89                                  
----JENDL-3.2         MATERIAL 9755                               
-----INCIDENT NEUTRON DATA                                        
------ENDF-6 FORMAT                                               
HISTORY                                                           
87-03 NEW EVALUATION WAS MADE BY T.NAKAGAWA (JAERI).              
      DETAILS ARE DESCRIBED IN REF. /1/.                          
                                                                  
MF=1  GENERAL INFORMATION                                         
  MT=451   COMMENTS AND DICTIONARY                                
  MT=452   NUMBER OF NEUTRONS PER FISSION                         
             SUM OF MT=455 AND MT=456                             
  MT=455   DELAYED NEUTRON DATA                                   
             BASED ON SEMI-EMPIRICAL FORMULA BY TUTTLE /2/.       
  MT=456   NUMBER OF PROMPT NEUTRONS PER FISSION                  
             BASED ON SEMI-EMPIRICAL FORMULA BY HOWERTON /3/.     
                                                                  
MF=2,MT=151  RESONANCE PARAMETERS                                 
  RESOLVED RESONANCE PARAMETERS (MLBW) : 1.0E-5 EV TO 100 EV      
    RESONANCE PARAMETERS WERE HYPOTHETICALLY GENERATED ADOPTING   
    THE FOLLOWING AVERAGE VALUES.                                 
        D-OBS = 2.09 EV (FROM LEVEL DENSITY PARAMETERS )          
        S0, S1= 0.83E-4, 3.37E-4 (FROM OPTICAL MODEL CALC.)       
        RADIATIVE WIDTH = 0.035EV (SAME AS CF-252)                
        FISSION WIDTH = 0.095 EV (ASSUMED THAT THE RATIO OF       
                  FISSION TO RADIATIVE WIDTH IS EQUAL TO          
                  CROSS SECTION RATIO)                            
    THE ENERGY OF FIRST LEVEL WAS ADJUSTED TO REPRODUCE THE       
    2200-M/S CROSS SECTIONS OF 350 BARNS /4/ AND 960 BARNS /5/ FOR
    CAPTURE AND FISSION, RESPECTIVELY.                            
  UNRESOLVED RESONANCES                : 0.1 TO 30 KEV            
    BY ADOPTING PARAMETERS USED FOR RESOLVED RESONANCE GENERATION 
    AS INITIAL VALUES, THEY WERE ADJUSTED TO REPRODUCE THE        
    EVALUATED FISSION AND CAPTURE CROSS SECTIONS BY USING ASREP   
    /6/.  FINAL VALUES OF THE PARAMETERS ARE,                     
         S0 = 0.82E-4, S1 = 3.9E-4, D-OBS = 2.09 EV,              
         RADIATIVE WIDTH = 0.035 EV, R =9.02 FM,                  
         FISSION WIDTH = 0.104 EV AT 100 EV, 0.208 EV AT 30 KEV.  
                                                                  
  CALCULATED 2200 M/S CROSS SECTIONS AND RESONANCE INTEGRALS      
                   2200 M/S VALUE           RES. INT.             
      TOTAL         1325.0   B                 -                  
      ELASTIC         12.22  B                 -                  
      FISSION        959.3   B               517.  B              
      CAPTURE        353.4   B               199.  B              
                                                                  
MF=3  NEUTRON CROSS SECTIONS                                      
                                                                  
 1) THE OPTICAL MODEL CALCULATION WAS PERFORMED WITH CODE CASTHY  
    /7/.  OPTICAL POTENTIAL PARAMETERS USED WERE OBTAINED /8/ BY  
    FITTING THE TOTAL CROSS SECTION MEASURED BY PHILLIPS AND HOWE 
    /9/ FOR AM-241:                                               
           V = 43.4 - 0.107*EN                      (MEV)         
           WS= 6.95 - 0.339*EN + 0.0531*EN**2       (MEV)         
                   (IN THE DERIVATIVE WOODS-SAXON FORM)           
           WV= 0             , VSO = 7.0            (MEV)         
           R = RSO = 1.282   , RS = 1.29            (FM)          
           A = ASO = 0.60    , B  = 0.5             (FM)          
 2) IN THE STATISTICAL CALCULATION, THE FISSION, (N,2N), (N,3N)   
    AND (N,4N) CROSS SECTIONS WERE CONSIDERED AS THE COMPETING    
    PROCCESS CROSS SECTIONS.                                      
 3) THE LEVEL DENSITY PARAMETERS WERE DERIVED FROM RESONANCE      
    LEVEL SPACINGS AND LOW LAYING EXCITED LEVELS ON THE BASIS OF  
    GILBERT-CAMERON'S FORMULA /10/.                               
      ----------------------------------------------------------- 
              ISOTOPE     247      248      249      250      251 
      ----------------------------------------------------------- 
             A(1/MEV)    28.1     27.8     34.2     30.05    30.0 
     SPIN-CUTOFF FACT   30.47    30.39    33.79    31.76    31.82 
       PAIRING E(MEV)    0.39      0.0    0.903      0.0    0.865 
           TEMP.(MEV)   0.364    0.326    0.366    0.340    0.385 
             C(1/MEV)    2.90     10.8     12.2     24.6     6.56 
              EX(MEV)    7.97     1.85     4.30     2.34     4.05 
      ----------------------------------------------------------- 
                                                                  
    BELOW 30 KEV, CROSS SECTIONS ARE REPRESENTED WITH RESONANCE   
    PARAMETERS.                                                   
                                                                  
  MT=1,2  TOTAL AND ELASTIC SCATTERING                            
    THE OPTICAL MODEL CALCULATION WAS ADOPTED.                    
                                                                  
  MT=4, 51 TO 59 AND 91 INELASTIC SCATTERING                      
    THE LEVEL SCHEME WAS TAKEN FROM REF. /11/.                    
                                                                  
          NO.     ENERGY(KEV)       SPIN-PARITY                   
       --------------------------------------------               
         GROUND         0.0            2 -                        
           1           34.5            3 -                        
           2           35.6            4 +                        
           3           78.1            5 +                        
           4           86.4            7 +                        
           5           97.0            5 -                        
           6          104.1            1 -                        
           7          125.4            2 -                        
           8          129.0            6 +                        
           9          131.9            3 +                        
          10          157.0            8 +                        
          11          167.0            6 -                        
          12          175.4            1 +                        
          13          191.0            7 +                        
          14          211.8            2 +                        
          15          237.0            3 +                        
          16          242.0            9 +                        
          17          248.0            7 -                        
          18          270.0            4 +                        
       --------------------------------------------               
        LEVELS ABOVE 296 KEV WERE ASSUMED TO BE OVERLAPPING.      
                                                                  
  MT=16, 17 AND 37  (N,2N), (N,3N) AND (N,4N)                     
    CALCULATED WITH EVAPORATION MODEL BY TAKING THE COMPOUND      
    NUCLEUS FORMATION CROSS SECTION CALCULATED WITH OPTICAL MODEL.
                                                                  
  MT=18   FISSION                                                 
    SHAPE OF THE CF-251 FISSION CROSS SECTION /12/ WAS ADOPTED    
    AND MULTIPLIED BY THE FACTOR OF 0.84.                         
                                                                  
  MT=102 RADIATIVE CAPTURE                                        
    CALCULATED WITH CASTHY.  THE AVERAGE RADIATIVE WIDTH OF 0.035 
    EV AND S-WAVE LEVEL SPACING OF 2.09 EV WERE ASSUMED.          
                                                                  
  MT=251 MU-BAR                                                   
    CALCULATED WITH CASTHY.                                       
                                                                  
MF=4  ANGULAR DISTRIBUTIONS OF SECONDARY NEUTRONS                 
  MT=2,51-59        CALCULATED WITH OPTICAL MODEL.                
  MT=16,17,18,37,91 ISOTROPIC DISTRIBUTIONS IN THE LABORATORY     
      SYSTEM WERE ASSUMED.                                        
                                                                  
MF=5  ENERGY DISTRIBUTIONS OF SECONDARY NEUTRONS                  
  MT=16,17,37,91   EVAPORATION SPECTRUM ASSUMED.                  
  MT=18            MAXWELLIAN FISSION SPECTRUM.                   
                      TEMPERATURE ESTIMATED FROM SYSTEMATICS OF   
                      SMITH ET AL./13/.                           
                                                                  
REFERENCES                                                        
 1) NAKAGAWA, T.: JAERI-M 88-004 (1987).                          
 2) TUTTLE, R.J.: INDG(NDS)-107/G+SPECIAL, P.29 (1979).           
 3) HOWERTON, R.J.: NUCL. SCI. ENG., 62, 438 (1977).              
 4) MUGHABGHAB, S.F.: NEUTRON CROSS SECTIONS, VOL.1, PART B,      
    ACADEMIC PRESS (1984)                                         
 5) DIAMOND, H., ET AL.: J. INORG. NUCL. CHEM., 30, 2553 (1968).  
 6) IGARASI, S.: J. NUCL. SCI. TECHNOL., 12, 67 (1975).           
 7) KIKUCHI, Y.: PRIVATE COMMUNICATION.                           
 8) IGARASI, S. AND NAKAGAWA T.: JAERI-M 8342 (1979).             
 9) PHILLIPS, T.W. AND HOWE, F.R.: NUCL. SCI. ENG., 69, 375(1979).
10) GILBERT A. AND CAMERON A.G.W. : CAN. J. PHYS., 43, 1446(1965).
11) SCHMORAK, M.R.: NUCL. DATA SHEETS, 32, 87 (1981).             
12) NAKAGAWA, T: JAERI-M 86-086 (1986).                           
13) SMITH, A.B. ET AL.: ANL/NDM-50 (1979).