40-Zr- 96

 40-ZR- 96 JNDC       EVAL-AUG89 JNDC FP NUCLEAR DATA W.G.        
                      DIST-SEP90 REV2-SEP93                       
----JENDL-3.2         MATERIAL 4043                               
-----INCIDENT NEUTRON DATA                                        
------ENDF-6 FORMAT                                               
HISTORY                                                           
84-10 EVALUATION FOR JENDL-2 WAS MADE BY JNDC FPND W.G./1/        
89-08 MODIFICATION FOR JENDL-3 WAS MADE/2/.                       
90-10 MF=5: SPECTRA AT THRESHOLD ENERGIES WERE MODIFIED.          
93-09 JENDL-3.2.                                                  
      COMPILED BY T.NAKAGAWA (NDC/JAERI)                          
                                                                  
     *****   MODIFIED PARTS FOR JENDL-3.2   ********************  
      (3,2), (3,4), (3,16), (3,17), (3,51-91)                     
      (4,16-91)                                                   
      (5,16-91)                                                   
             THESE DATA WERE TAKEN FROM JENDL FUSION FILE.        
     ***********************************************************  
                                                                  
     -------------------------------------------------------------
      JENDL FUSION FILE /3/  (AS OF SEP. 1993)                    
            EVALUATED AND COMILED BY S. CHIBA (NDC/JAERI)         
                                                                  
      DATA WERE TAKEN FROM JENDL-3.1 EXCEPT FOR THE FOLLOWING:    
      -  THE DISCRETE AND CONTINUUM INELASTIC SCATTERING CROSS    
         SECTIONS WERE CALCULATED WITH CASTHY2Y AND DWUCKY IN     
         SINCROS-II SYSTEM/4/ INCLUDING CONTRIBUTIONS FROM        
         DIRECT REACTIONS.                                        
      -  ANGULAR DISTRIBUTIONS OF DISCRETE INELASTICS WERE ALSO   
         CALCULATED WITH CASTHY2Y AND DWUCKY.                     
      -  THE (N,2N) AND (N,3N) REACTION CROSS SECTIONS (MT=16, 17)
         WERE REPLACED WITH THOSE CALCULATED BY EGNASH2 IN THE    
         SINCROS-II.                                              
      -  ENERGY DISTRIBUTIONS OF SECONDARY NEUTRONS WERE REPLACED 
         BY THOSE CALCULATED BY EGNASH2.  THE DDX'S OF THE        
         CONTINUUM NEUTRONS WERE CALCULATED BY KUMABE'S SYSTEMA-  
         TICS /5/ USING F15TOB /3/.  THE PRECOMPOUND/COMPOUND     
         RATIO WAS CALCULATED BY THE SINCROS- II CODE SYSTEM.     
      -  OPTICAL-MODEL, LEVEL DENSITY AND OTHER PARAMETERS USED IN
         THE SINCROS-II CALCULATION ARE DESCRIBED IN REF./4/.     
         LEVEL SCHEMES WERE DETERMINED ON THE BASIS OF ENSDF/6/.  
     -------------------------------------------------------------
                                                                  
                                                                  
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 100 KEV        
    RESONANCE PARAMETERS WERE TAKEN FROM JENDL-2.                 
       RESONANCE ENERGIES AND NEUTRON WIDTHS WERE BASED ON THE    
    MEASURED VALUES BY COCEVA ET AL./7/ BELOW 41.5 KEV AND THOSE  
    BY MUSGROVE ET AL./8/ ABOVE 41.5 KEV.  THE NEUTRON WIDTHS OF  
    MUSGROVE ET AL. WERE MULTIPLIED BY A FACTOR OF 1.79 SO AS TO  
    ADJUST TO THE DATA OF COCEVA ET AL.  THE RADIATION WIDTHS WERE
    ADOPTED FROM BRUSEGAN ET AL./9/  THE PARAMETERS OF THE 301-EV 
    LEVEL WERE TAKEN FROM SALAH ET AL./10/  PARAMETER OF A NEGA-  
    TIVE RESONANCE WAS BASED ON THE RECOMMENDED PARAMETERS GIVEN  
    IN REF./11/, AND THE RADIATION WIDTH WAS MODIFIED SO AS TO    
    REPRODUCE THE CAPTURE CROSS SECTION OF 0.0229+-0.0010 BARNS AT
    0.0253 EV/11/.  AVERAGE RADIATION WIDTHS OF 0.068+-0.010 EV   
    AND 0.170+-0.130 EV WERE ADOPTED TO S-WAVE AND P-WAVE         
    RESONANCES, RESPECTIVELY.                                     
                                                                  
  NO UNRESOLVED RESONANCE REGION                                  
                                                                  
  CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)   
                     2200 M/S               RES. INTEG.           
      TOTAL           6.154                    -                  
      ELASTIC         6.131                    -                  
      CAPTURE         0.02280                   5.87              
                                                                  
MF = 3  NEUTRON CROSS SECTIONS                                    
  BELOW 100 KEV, RESOLVED RESONANCE PARAMETERS WERE GIVEN.        
  ABOVE 100 KEV, THE SPHERICAL OPTICAL AND STATISTICAL MODEL      
  CALCULATION WAS PERFORMED WITH CASTHY/12/, BY TAKING ACCOUNT OF 
  COMPETING REACTIONS, OF WHICH CROSS SECTIONS WERE CALCULATED    
  WITH PEGASUS/13/ STANDING ON A PREEQUILIBRIUM AND MULTI-STEP    
  EVAPORATION MODEL.  THE OMP'S FOR NEUTRON GIVEN IN TABLE 1 WERE 
  DETERMINED BY IIJIMA AND KAWAI/14/ TO REPRODUCE A SYSTEMATIC    
  TREND OF THE TOTAL CROSS SECTION.  THE OMP'S FOR CHARGED        
  PARTICLES ARE AS FOLLOWS:                                       
     PROTON   = PEREY/15/                                         
     ALPHA    = HUIZENGA AND IGO/16/                              
     DEUTERON = LOHR AND HAEBERLI/17/                             
     HELIUM-3 AND TRITON = BECCHETTI AND GREENLEES/18/            
  PARAMETERS FOR THE COMPOSITE LEVEL DENSITY FORMULA OF GILBERT   
  AND CAMERON/19/ WERE EVALUATED BY IIJIMA ET AL./20/  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
  /21/.                                                           
                                                                  
     FOR JENDL-3.2, DATA OF INELASTIC, (N,2N) AND (N,3N) REACTION 
  CROSS SECTIONS WERE ADOPTED FROM JENDL FUSION FILE.  THE        
  CALCULATION WAS MADE WITH SINCROS-II SYSTEM/4/ BY ADOPTING      
  WALTER-GUSS OMP MODIFIED BY YAMAMURO/4/ FOR NEUTRONS, LEMOS OMP 
  MODIFIED BY ARTHUR AND YOUNG/22/ FOR ALPHA, THE SAME OMP'S AS   
  THE PEGASUS CALCULATION FOR OTHER CHARGED PARTICLES AND STANDARD
  LEVEL DENSITY PARAMETERS OF SINCROS-II SYSTEM.                  
                                                                  
  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                           
    TAKEN FROM JENDL FUSION FILE.  THE LEVEL SCHEME WAS TAKEN FROM
    REF./6/  CONTRIBUTIONS OF THE DIRECT PROCESS WAS CALCULATED   
    FOR THE LEVELS MARKED WITH '*'.                               
                                                                  
           NO.      ENERGY(MEV)    SPIN-PARITY (DIRECT PROCESS)   
           GR.       0.0             0  +                         
            1        1.5940          0  +                         
            2        1.7505          2  +          *              
            3        1.8971          3  -          *              
            4        2.2259          1  -                         
            5        2.3300          2  +                         
            6        2.4400          1  -                         
            7        2.8574          3  -                         
      LEVELS ABOVE 2.857 MEV WERE ASSUMED TO BE OVERLAPPING.      
                                                                  
  MT = 16  (N,2N) CROSS SECTION                                   
  MT = 17  (N,3N) CROSS SECTION                                   
    DATA FOR JENDL FUSION FILE WERE ADOPTED.                      
                                                                  
  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/23/ AND NORMALIZED TO 1 MILLI-BARN AT 14 MEV.       
                                                                  
    THE GAMMA-RAY STRENGTH FUNCTION (1.40E-5) WAS ADJUSTED TO     
    REPRODUCE THE CAPTURE CROSS SECTION OF 12 MILLI-BARNS AT 30   
    KEV MEASURED BY WYRICK/24/                                    
                                                                  
  MT = 22  (N,N'A) CROSS SECTION                                  
  MT = 28  (N,N'P) 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 (= 203.6) WAS ESTIMATED BY THE       
    FORMULA DERIVED FROM KIKUCHI-KAWAI'S FORMALISM/25/ 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)      1500.00  MB (MEASURED BY IKEDA+/26/)            
      (N,P)          3.79  MB (SYSTEMATICS OF FORREST/27/)        
      (N,ALPHA)      3.00  MB (RECOMMENDED BY FORREST/27/)        
                                                                  
  MT = 251  MU-BAR                                                
    CALCULATED WITH CASTHY.                                       
                                                                  
MF = 4  ANGULAR DISTRIBUTIONS OF SECONDARY NEUTRONS               
  MT = 2                                                          
    CALCULATED WITH CASTHY/12/.                                   
  MT = 51-57                                                      
    TAKEN FROM JENDL FUSION FILE DATA WHICH WAS CALCULATED WITH   
    CASTHY2Y AND DWUCK/28/ (DWUCKY) IN THE SINCROS-II SYSTEM.     
  MT = 16,17,22,28,91                                             
    TRANSFORMED FROM MF=6 DATA (DDX) OF JENDL FUSION FILE.        
                                                                  
MF = 5  ENERGY DISTRIBUTIONS OF SECONDARY NEUTRONS                
  MT = 16,17,22,28,91                                             
    TRANSFORMED FROM MF=6 DATA (DDX) OF JENDL FUSION FILE.        
                                                                  
                                                                  
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TABLE 1  NEUTRON OPTICAL POTENTIAL PARAMETERS                     
                                                                  
                DEPTH (MEV)       RADIUS(FM)    DIFFUSENESS(FM)   
         ----------------------   ------------  ---------------   
        V  = 46.0-0.25E           R0 = 5.893    A0 = 0.62         
        WS = 7.0                  RS = 6.393    AS = 0.35         
        VSO= 7.0                  RSO= 5.893    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    
 ---------------------------------------------------------------  
 38-SR- 92  *  1.288E+01 7.065E-01 2.515E-01 6.391E+00 2.360E+00  
 38-SR- 93  *  1.386E+01 6.989E-01 1.878E+00 5.664E+00 1.240E+00  
 38-SR- 94  *  1.485E+01 6.915E-01 4.495E-01 7.333E+00 2.530E+00  
 38-SR- 95  *  1.586E+01 6.842E-01 4.531E+00 6.411E+00 1.240E+00  
                                                                  
 39-Y - 93     1.150E+01 8.053E-01 1.740E+00 5.854E+00 1.120E+00  
 39-Y - 94     9.149E+00 7.385E-01 1.378E+00 2.222E+00 0.0        
 39-Y - 95     1.070E+01 8.306E-01 1.082E+00 5.839E+00 1.290E+00  
 39-Y - 96  *  1.603E+01 6.771E-01 2.794E+01 5.117E+00 0.0        
                                                                  
 40-ZR- 94     1.275E+01 7.530E-01 4.411E-01 7.019E+00 2.320E+00  
 40-ZR- 95     1.331E+01 6.070E-01 5.453E-01 3.985E+00 1.200E+00  
 40-ZR- 96     1.320E+01 7.000E-01 2.235E-01 6.589E+00 2.490E+00  
 40-ZR- 97     1.259E+01 5.590E-01 2.497E-01 3.084E+00 1.200E+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 3.791 FOR ZR- 96 AND 5.0 FOR ZR- 97.               
                                                                  
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22) ARTHUR, E.D. AND YOUNG, P.G.: LA-8626-MS (1980).              
23) BENZI, V. AND REFFO, G.: CCDN-NW/10 (1969).                   
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    REACTIONS", NORTH HOLLAND (1968).                             
26) IKEDA, Y. ET AL.: JAERI 1312 (1988).                          
27) FORREST, R.A.: AERE-R 12419 (1986).                           
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