36-Kr- 86

 36-KR- 86 JNDC       EVAL-MAR90 JNDC FP NUCLEAR DATA W.G.        
                      DIST-MAR02 REV2-FEB02            20020222   
----JENDL-3.3         MATERIAL 3649                               
-----INCIDENT NEUTRON DATA                                        
------ENDF-6 FORMAT                                               
                                                                  
   ===========================================================    
   JENDL-3.2 data were automatically transformed to JENDL-3.3.    
    Interpolation of spectra: 22 (unit base interpolation)        
    (3,251) deleted, T-matrix of (4,2) deleted, and others.       
   ===========================================================    
                                                                  
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 (MLBW FORMULA) : BELOW 640 KEV        
    EVALUATION OF RESONANCE ENERGIES, NEUTRON WIDTHS, NEUTRON     
    ORBITAL ANGULAR MOMENTUM L AND TOTAL SPIN J WAS BASED ON THE  
    DATA MEASURED BY CARLTON ET AL./3/ AND BY RAMAN ET AL./4/     
    RADIATION WIDTHS FOR THE 12 RESONANCE LEVELS IN THE ENERGY    
    RANGE FROM 19.238 TO 88.329 KEV WERE TAKEN FROM THE DATA BY   
    RAMAN ET AL.  THE VALUE OF AVERAGE RADIATION WIDTH WAS        
    DETERMINED SO THAT THE AVERAGE CAPTURE CROSS SECTION AROUND   
    640 KEV MIGHT AGREE WITH THAT CALCULATED BY CASTHY/5/, AND    
    THUS OBTAINED AVERAGE RADIATION WIDTH WAS ADOPTED FOR THE     
    RESONANCE LEVELS WHOSE RADIATION WIDTH WAS UNKNOWN.           
    SCATTERING RADIUS WAS TAKEN FROM THE GRAPH (FIG. 1, PART A)   
    GIVEN BY MUGHABGHAB ET AL./6/  A NEGATIVE RESONANCE WAS ADDED 
    AT -20 KEV SO AS TO REPRODUCE THE THERMAL CAPTURE CROSS       
    SECTION OF 3 MB GIVEN BY MUGHABGHAB ET AL.                    
                                                                  
  NO UNRESOLVED RESONANCE REGION                                  
                                                                  
  CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)   
                     2200 M/S               RES. INTEG.           
      TOTAL           6.153                    -                  
      ELASTIC         6.150                    -                  
      CAPTURE         0.003000                  0.0232            
                                                                  
MF = 3  NEUTRON CROSS SECTIONS                                    
  BELOW 640 KEV, RESOLVED RESONANCE PARAMETERS WERE GIVEN.        
  ABOVE 640 KEV, THE SPHERICAL OPTICAL AND STATISTICAL MODEL      
  CALCULATION WAS PERFORMED WITH CASTHY/5/, BY TAKING ACCOUNT OF  
  COMPETING REACTIONS, OF WHICH CROSS SECTIONS WERE CALCULATED    
  WITH PEGASUS/7/ STANDING ON A PREEQUILIBRIUM AND MULTI-STEP     
  EVAPORATION MODEL.  THE OMP'S FOR NEUTRON GIVEN IN TABLE 1 WERE 
  DETERMINED TO REPRODUCE A SYSTEMATIC TREND OF THE TOTAL CROSS   
  SECTION BY CHANGING R0, RS AND RSO OF IIJIMA-KAWAI POTENTIAL/8/.
  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                    
           GR.       0.0             0  +                         
            1        1.5646          2  +                         
            2        2.2480          4  +                         
            3        2.3496          2  +                         
            4        2.7330          0  +                         
            5        2.8502          3  +                         
            6        2.9262          2  +                         
            7        3.0992          3  -                         
            8        3.5420          0  +                         
            9        3.8320          0  +                         
           10        3.9590          4  +                         
      LEVELS ABOVE 4.072 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/17/ AND NORMALIZED TO 1 MILLI-BARN AT 14 MEV.       
                                                                  
    THE GAMMA-RAY STRENGTH FUNCTION (3.55E-6) WAS ADJUSTED TO     
    REPRODUCE THE CAPTURE CROSS SECTION OF 2.5 MILLI-BARNS AT 100 
    KEV MEASURED BY WALTER/18/                                    
                                                                  
  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 =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/7/.                                                   
                                                                  
    THE KALBACH'S CONSTANT K (= 352.9) WAS ESTIMATED BY THE       
    FORMULA DERIVED FROM KIKUCHI-KAWAI'S FORMALISM/19/ 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)          8.00  MB (RECOMMENDED BY FORREST/20/)        
      (N,ALPHA)      1.27  MB (SYSTEMATICS OF FORREST/20/)        
                                                                  
  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 = 5.7      A0 = 0.62         
        WS = 7.0                  RS = 6.2      AS = 0.35         
        VSO= 7.0                  RSO= 5.7      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    
 ---------------------------------------------------------------  
 34-SE- 82     1.259E+01 7.980E-01 3.563E-01 8.246E+00 2.890E+00  
 34-SE- 83     1.381E+01 7.500E-01 2.666E+00 6.708E+00 1.430E+00  
 34-SE- 84  *  8.736E+00 7.738E-01 6.479E-02 4.692E+00 2.360E+00  
 34-SE- 85  *  9.605E+00 7.647E-01 3.056E-01 4.293E+00 1.430E+00  
                                                                  
 35-BR- 83     1.324E+01 7.830E-01 2.683E+00 6.978E+00 1.460E+00  
 35-BR- 84  *  1.302E+01 7.738E-01 1.393E+01 5.216E+00 0.0        
 35-BR- 85     1.100E+01 7.000E-01 7.248E-01 3.841E+00 9.300E-01  
 35-BR- 86  *  9.718E+00 7.558E-01 1.999E+00 2.830E+00 0.0        
                                                                  
 36-KR- 84     9.970E+00 9.600E-01 4.942E-01 8.590E+00 2.630E+00  
 36-KR- 85     1.024E+01 8.900E-01 1.570E+00 6.261E+00 1.170E+00  
 36-KR- 86     9.052E+00 8.686E-01 2.185E-01 5.874E+00 2.100E+00  
 36-KR- 87     9.400E+00 8.860E-01 8.826E-01 5.481E+00 1.170E+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 4.225 FOR KR- 86 AND 5.0 FOR KR- 87.               
                                                                  
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) CARLTON, R.F., WINTERS, R.R., JOHNSON, C.H., HILL, N.W., AND  
    HARVEY, J.A.: PHYS. REV. C 38, 1605 (1988).                   
 4) RAMAN, S., FOGELBERG, B., HARVEY, J.A., MACKLIN, R.L., AND    
    STELSON, P.H.: PHYS. REV. C 28, 602 (1983).                   
 5) IGARASI, S.: J. NUCL. SCI. TECHNOL., 12, 67 (1975).           
 6) MUGHABGHAB, S.F. ET AL.: "NEUTRON CROSS SECTIONS, VOL. I,     
    PART A", ACADEMIC PRESS (1981).                               
 7) IIJIMA, S. ET AL.: JAERI-M 87-025, P. 337 (1987).             
 8) IIJIMA, S. AND KAWAI, M.: J. NUCL. SCI. TECHNOL., 20, 77      
    (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.: PRIVATE COMMUNICATION (1981).                  
17) BENZI, V. AND REFFO, G.: CCDN-NW/10 (1969).                   
18) WALTER, G.: KFK-3706 (1984).                                  
19) KIKUCHI, K. AND KAWAI, M.: "NUCLEAR MATTER AND NUCLEAR        
    REACTIONS", NORTH HOLLAND (1968).                             
20) FORREST, R.A.: AERE-R 12419 (1986).