48-Cd-111

 48-CD-111 JNDC       EVAL-MAR90 JNDC FP NUCLEAR DATA W.G.        
                      DIST-SEP90 REV2-NOV93                       
----JENDL-3.2         MATERIAL 4840                               
-----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/.                       
93-12 JENDL-3.2 WAS MADE BY JNDC FPND W.G.                        
                                                                  
     *****   MODIFIED PARTS FOR JENDL-3.2   ********************  
      (2,151)       RESOLVED AND UNRESOLVED RESONANCE PARAMETERS  
      (3,102)       RENORMALIZATION TO RECENT EXPERIMENT          
      (3,2), (3,4), (3,51-91), (4,51-91)                          
                    EFFECTS OF RENORMALIZATION OF CAPTURE         
     ***********************************************************  
                                                                  
                                                                  
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 1.8 KEV        
    RESONANCE PARAMETERS OF JENDL-2 WERE MODIFIED FOR JENDL-3.    
       FOR JENDL-2, EVALUATION WAS MADE ON THE BASIS OF EXPERIMEN-
    TAL DATA OF LIOU ET AL./3/ AND WASSON AND ALLEN/4/.  THE      
    AVERAGE RADIATION WIDTH WAS ASSUMED TO BE 0.102 EV/3/.        
    SCATTERING RADIUS OF 6.5 FM WAS ASSUMED ON THE BASIS OF       
    SYSTEMATICS OF MEASURED VALUES.                               
       FOR JENDL-3, THE LOWEST TWO P-WAVE RESONANCES WERE ADDED   
    ACCORDING TO THE DATA BY ALFIMENKOV ET AL./5/  TOTAL SPIN J   
    OF SOME RESONANCES WAS TENTATIVELY ESTIMATED WITH A RANDOM    
    NUMBER METHOD.  PARAMETERS OF A NEGATIVE RESONANCE WERE       
    MODIFIED SO AS TO REPRODUCE THE THERMAL CAPTURE AND ELASTIC   
    SCATTERING CROSS SECTIONS GIVEN BY MUGHABGHAB ET AL./6/       
       FOR JENDL-3.2, THE CAPTURE DATA MEASURED AT ORERA OF ORNL  
    WERE RENORMALIZED (FACTOR=1.208)/7/.  THE NEUTRON AND/OR      
    RADIATION WIDTH WERE REVISED TO REPRODUCE THE NORMALIZED      
    CAPTURE AREA FOR EACH RESONANCE ABOVE 2.76 EV.                
                                                                  
  UNRESOLVED RESONANCE REGION : 1.8 KEV - 100 KEV                 
    THE SAME PARAMETER VALUES AS JENDL-2 WERE USED AS INITIAL     
    VALUES.  THEN THE PARAMETERS WERE ADJUSTED TO REPRODUCE THE   
    CAPTURE CROSS SECTION CALCULATED WITH CASTHY /8/ (SEE MF=3,   
    MT=102) ABOVE 15 KEV AND THOSE MEASURED BY MUSGROVE ET AL./9/ 
    BELOW 15 KEV.  THE EFFECTIVE SCATTERING RADIUS WAS OBTAINED   
    FROM FITTING TO THE CALCULATED TOTAL CROSS SECTION AT 100 KEV.
                                                                  
  TYPICAL VALUES OF THE PARAMETERS AT 70 KEV:                     
    S0 = 0.450E-4, S1 = 3.900E-4, S2 = 0.530E-4, SG = 101.E-4,    
    GG = 0.160 EV, R  = 5.763 FM.                                 
                                                                  
  CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)   
                     2200 M/S               RES. INTEG.           
      TOTAL          29.013                    -                  
      ELASTIC         5.074                    -                  
      CAPTURE        23.939                    49.9               
                                                                  
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/8/, BY TAKING ACCOUNT OF  
  COMPETING REACTIONS, OF WHICH CROSS SECTIONS WERE CALCULATED    
  WITH PEGASUS/10/ STANDING ON A PREEQUILIBRIUM AND MULTI-STEP    
  EVAPORATION MODEL.  THE OMP'S FOR NEUTRON GIVEN IN TABLE 1 WERE 
  DETERMINED TO REPRODUCE THE CD-NATURAL TOTAL CROSS SECTIONS     
  MEASURED BY FOSTER AND GLASGOW/11/, POENITZ AND WHALEN/12/ AND  
  SO ON.  THE OMP'S FOR CHARGED PARTICLES ARE AS FOLLOWS:         
     PROTON   = PEREY/13/                                         
     ALPHA    = HUIZENGA AND IGO/14/                              
     DEUTERON = LOHR AND HAEBERLI/15/                             
     HELIUM-3 AND TRITON = BECCHETTI AND GREENLEES/16/            
  PARAMETERS FOR THE COMPOSITE LEVEL DENSITY FORMULA OF GILBERT   
  AND CAMERON/17/ WERE EVALUATED BY IIJIMA ET AL./18/  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
  /19/.                                                           
                                                                  
  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./20/.           
                                                                  
           NO.      ENERGY(MEV)    SPIN-PARITY                    
           GR.       0.0            1/2 +                         
            1        0.2454         5/2 +                         
            2        0.3419         3/2 +                         
            3        0.3960        11/2 -                         
            4        0.4166         7/2 +                         
            5        0.6200         5/2 +                         
            6        0.7000         3/2 +                         
            7        0.7540         5/2 +                         
            8        0.8665         3/2 +                         
            9        1.0200         1/2 +                         
           10        1.1300         5/2 +                         
           11        1.1900         1/2 +                         
      LEVELS ABOVE 1.33 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/21/ AND NORMALIZED TO 1 MILLI-BARN AT 14 MEV.       
                                                                  
    THE GAMMA-RAY STRENGTH FUNCTION (1.032E-02) WAS ADJUSTED TO   
    REPRODUCE THE CAPTURE CROSS SECTION OF 664 MILLI-BARNS AT 90  
    KEV MEASURED BY MUSGROVE ET AL./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 =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 (= 107.8) WAS ESTIMATED BY THE       
    FORMULA DERIVED FROM KIKUCHI-KAWAI'S FORMALISM/22/ 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)         50.00  MB (RECOMMENDED BY FORREST/23/)        
      (N,ALPHA)      4.52  MB (SYSTEMATICS OF FORREST/23/)        
                                                                  
  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  = 50.01-0.5528E        R0 = 5.972    A0 = 0.56         
        WS = 8.165                RS = 6.594    AS = 0.44         
        VSO= 5.261                RSO= 5.97     ASO= 0.267        
  THE FORM OF SURFACE ABSORPTION PART IS DER. WOODS-SAXON TYPE.   
                                                                  
TABLE 2  LEVEL DENSITY PARAMETERS                                 
                                                                  
 NUCLIDE       A(1/MEV)  T(MEV)    C(1/MEV)  EX(MEV)   PAIRING    
 ---------------------------------------------------------------  
 46-PD-107     1.916E+01 6.110E-01 6.467E+00 6.507E+00 1.350E+00  
 46-PD-108     1.790E+01 6.460E-01 8.844E-01 7.957E+00 2.600E+00  
 46-PD-109     2.071E+01 6.030E-01 1.194E+01 6.925E+00 1.350E+00  
 46-PD-110     1.880E+01 6.300E-01 1.215E+00 7.897E+00 2.490E+00  
                                                                  
 47-AG-108     1.671E+01 5.760E-01 1.221E+01 3.609E+00 0.0        
 47-AG-109     1.650E+01 6.300E-01 2.761E+00 5.709E+00 1.250E+00  
 47-AG-110     1.791E+01 5.900E-01 2.444E+01 4.282E+00 0.0        
 47-AG-111     1.955E+01 5.810E-01 6.505E+00 5.835E+00 1.140E+00  
                                                                  
 48-CD-109     1.812E+01 6.120E-01 3.856E+00 6.132E+00 1.360E+00  
 48-CD-110     1.750E+01 6.300E-01 5.212E-01 7.482E+00 2.610E+00  
 48-CD-111     1.874E+01 5.930E-01 3.762E+00 6.000E+00 1.360E+00  
 48-CD-112     1.797E+01 6.190E-01 6.327E-01 7.351E+00 2.500E+00  
 ---------------------------------------------------------------  
                                                                  
 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 4.636 FOR CD-111 AND 3.236 FOR CD-112.             
                                                                  
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.: J. NUCL. SCI. TECHNOL., 29, 195 (1992).     
 3) LIOU, H.I., ET AL.: PHYS. REV., C10, 709 (1974).              
 4) WASSON, O.A., ALLEN, B.J.: PHYS. REV., C7, 780 (1973).        
 5) ALFIMENKOV ET AL.: NUCL. PHYS. A397, 93(1983).                
 6) MUGHABGHAB, S.F. ET AL.: "NEUTRON CROSS SECTIONS, VOL. I,     
    PART A", ACADEMIC PRESS (1981).                               
 7) ALLEN, B.J. ET AL.: NUCL. SCI. ENG., 82, 230 (1982).          
 8) IGARASI, S. AND FUKAHORI, T.: JAERI 1321 (1991).              
 9) MUSGROVE, A.R. DE L., ET AL.: "PROC. INT. CONF. ON NEUTRON    
    PHYSICS AND NUCL. DATA FOR REACTORS, HARWELL 1978", 449P.     
10) IIJIMA, S. ET AL.: JAERI-M 87-025, P. 337 (1987).             
11) FOSTER, D.G. JR. AND GLASGOW, D. W.: PHYS. REV., C3, 576      
    (1971).                                                       
12) POENITZ, W.P. AND WHALEN, J.F.: ANL-NDM-80 (1983).            
13) PEREY, F.G: PHYS. REV. 131, 745 (1963).                       
14) HUIZENGA, J.R. AND IGO, G.: NUCL. PHYS. 29, 462 (1962).       
15) LOHR, J.M. AND HAEBERLI, W.: NUCL. PHYS. A232, 381 (1974).    
16) 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).                                                       
17) GILBERT, A. AND CAMERON, A.G.W.: CAN. J. PHYS., 43, 1446      
    (1965).                                                       
18) IIJIMA, S., ET AL.: J. NUCL. SCI. TECHNOL. 21, 10 (1984).     
19) GRUPPELAAR, H.: ECN-13 (1977).                                
20) MATSUMOTO, J.: PRIVATE COMMUNICATION (1981).                  
21) BENZI, V. AND REFFO, G.: CCDN-NW/10 (1969).                   
22) KIKUCHI, K. AND KAWAI, M.: "NUCLEAR MATTER AND NUCLEAR        
    REACTIONS", NORTH HOLLAND (1968).                             
23) FORREST, R.A.: AERE-R 12419 (1986).