46-Pd-104

 46-PD-104 JNDC       EVAL-MAR90 JNDC FP NUCLEAR DATA W.G.        
                      DIST-NOV90                                  
----JENDL-3.2         MATERIAL 4631                               
-----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 (SLBW FORMULA) : BELOW 279 EV         
    RESONANCE PARAMETERS WERE TAKEN FROM JENDL-2;                 
       PARAMETERS OF 182.3-EV RESONANCE WERE TAKEN FROM THE DATA  
    MEASURED BY POPOV ET AL./3/                                   
                                                                  
  UNRESOLVED RESONANCE REGION : 279 EV - 100 KEV                  
    THE NEUTRON STRENGTH FUNCTION S1 WAS BASED ON THE COMPILATION 
    OF MUGHABGHAB ET AL./4/, AND S0 AND S2 WERE CALCULATED WITH   
    OPTICAL MODEL CODE CASTHY/5/.  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 SYSTEMATICS OF        
    MEASURED VALUES FOR NEIGHBORING NUCLIDES.                     
                                                                  
  TYPICAL VALUES OF THE PARAMETERS AT 70 KEV:                     
    S0 = 0.810E-4, S1 = 5.300E-4, S2 = 1.000E-4, SG = 6.18E-4,    
    GG = 0.160 EV, R  = 4.725 FM.                                 
                                                                  
  CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)   
                     2200 M/S               RES. INTEG.           
      TOTAL           5.440                    -                  
      ELASTIC         4.917                    -                  
      CAPTURE         0.5231                   21.9               
                                                                  
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, BY TAKING ACCOUNT OF     
  COMPETING REACTIONS, OF WHICH CROSS SECTIONS WERE CALCULATED    
  WITH PEGASUS/6/ 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/7/, POENITZ AND WHALEN/8/ AND    
  SO ON, AND APPLIED TO PD ISOTOPES TOO.  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    DWBA-CAL        
           GR.       0.0             0  +                         
            1        0.5558          2  +            *            
            2        1.3236          4  +                         
            3        1.3336          0  +                         
            4        1.3417          2  +                         
            5        1.7929          0  +                         
            6        1.7938          2  +                         
            7        1.8207          3  +                         
            8        1.9416          5  +                         
            9        2.0824          4  +                         
      LEVELS ABOVE 2.2 MEV WERE ASSUMED TO BE OVERLAPPING.        
                                                                  
    FOR THE LEVELS WITH AN ASTERISK, THE CONTRIBUTION OF DIRECT   
    INELASTIC SCATTERING CROSS SECTIONS WAS CALCULATED BY THE     
    DWUCK-4 CODE/17/.  DEFORMATION PARAMETER (BETA2 = 0.209) WAS  
    BASED ON THE DATA COMPILED BY RAMAN ET AL./18/                
                                                                  
  MT = 102  CAPTURE                                               
    SPHERICAL OPTICAL AND STATISTICAL MODEL CALCULATION WITH      
    CASTHY/5/ WAS ADOPTED.  DIRECT AND SEMI-DIRECT CAPTURE CROSS  
    SECTIONS WERE ESTIMATED ACCORDING TO THE PROCEDURE OF BENZI   
    AND REFFO/19/ AND NORMALIZED TO 1 MILLI-BARN AT 14 MEV.       
                                                                  
    THE GAMMA-RAY STRENGTH FUNCTION (6.50E-4) WAS  ADJUSTED TO    
    REPRODUCE THE CAPTURE CROSS SECTION OF 220 MILLI-BARNS AT 50  
    KEV MEASURED BY CORNELIS ET AL./20/                           
                                                                  
  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 =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 (=  89.7) WAS ESTIMATED BY THE       
    FORMULA DERIVED FROM KIKUCHI-KAWAI'S FORMALISM/21/ 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)         58.00  MB (RECOMMENDED BY FORREST/22/)        
      (N,ALPHA)     10.40  MB (SYSTEMATICS OF FORREST/22/)        
                                                                  
  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.  CONTRIBUTION OF DIRECT INELASTIC       
  SCATTERING WAS CALCULATED WITH DWUCK-4.  FOR OTHER REACTIONS,   
  ISOTROPIC DISTRIBUTIONS 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  SYST A(1/MEV)  T(MEV)    C(1/MEV)  EX(MEV)   PAIRING    
 ---------------------------------------------------------------  
 44-RU-100     1.520E+01 7.200E-01 7.835E-01 8.078E+00 2.570E+00  
 44-RU-101     1.726E+01 6.700E-01 7.228E+00 6.836E+00 1.280E+00  
 44-RU-102     1.643E+01 6.550E-01 8.872E-01 7.106E+00 2.220E+00  
 44-RU-103     1.890E+01 6.480E-01 1.210E+01 7.110E+00 1.280E+00  
                                                                  
 45-RH-101  *  1.596E+01 6.476E-01 2.608E+00 5.832E+00 1.290E+00  
 45-RH-102  *  1.703E+01 6.452E-01 3.197E+01 4.966E+00 0.0        
 45-RH-103     1.570E+01 6.550E-01 4.298E+00 5.499E+00 9.400E-01  
 45-RH-104     1.714E+01 5.910E-01 1.771E+01 4.018E+00 0.0        
                                                                  
 46-PD-102     1.831E+01 6.210E-01 6.406E-01 7.665E+00 2.640E+00  
 46-PD-103     1.733E+01 6.550E-01 5.327E+00 6.637E+00 1.350E+00  
 46-PD-104     1.630E+01 6.650E-01 8.743E-01 7.305E+00 2.290E+00  
 46-PD-105     1.791E+01 6.700E-01 9.137E+00 7.207E+00 1.350E+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 5.680 FOR PD-104 AND 6.279 FOR PD-105.             
                                                                  
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.: PROC. INT. CONF. ON NUCLEAR DATA FOR SCIENCE
    AND TECHNOLOGY, MITO, P. 569 (1988).                          
 3) POPOV, JU. P., ET AL.: JINR-P3-11013 (1977).                  
 4) MUGHABGHAB, S.F. ET AL.: "NEUTRON CROSS SECTIONS, VOL. I,     
    PART A", ACADEMIC PRESS (1981).                               
 5) IGARASI, S.: J. NUCL. SCI. TECHNOL., 12, 67 (1975).           
 6) IIJIMA, S. ET AL.: JAERI-M 87-025, P. 337 (1987).             
 7) FOSTER, D.G. JR. AND GLASGOW, D. W.: PHYS. REV., C3, 576      
    (1971).                                                       
 8) POENITZ, W.P. AND WHALEN, J.F.: ANL-NDM-80 (1983).            
 9) PEREY, F.G: PHYS. REV. 131, 745 (1963).                       
10) HUIZENGA, J.R. AND IGO, G.: NUCL. PHYS. 29, 462 (1962).       
11) LOHR, J.M. AND HAEBERLI, W.: NUCL. PHYS. A232, 381 (1974).    
12) 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).                                                       
13) GILBERT, A. AND CAMERON, A.G.W.: CAN. J. PHYS., 43, 1446      
    (1965).                                                       
14) IIJIMA, S., ET AL.: J. NUCL. SCI. TECHNOL. 21, 10 (1984).     
15) GRUPPELAAR, H.: ECN-13 (1977).                                
16) MATSUMOTO, J., ET AL.: JAERI-M 7734 (1978).                   
17) KUNZ, P.D.: PRIVATE COMMUNICATION.                            
18) RAMAN, S., ET AL.: ATOM. DATA AND NUCL. DATA TABLES 36, 1     
    (1987)                                                        
19) BENZI, V. AND REFFO, G.: CCDN-NW/10 (1969).                   
20) CORNELIS, E., ET AL.: PROC. INT. CONF. NUCLEAR DATA FOR       
    SCIENCE AND TECHNOLOGY, ANTWERP 1982, P.222 (1982).           
21) KIKUCHI, K. AND KAWAI, M.: "NUCLEAR MATTER AND NUCLEAR        
    REACTIONS", NORTH HOLLAND (1968).                             
22) FORREST, R.A.: AERE-R 12419 (1986).