36-Kr- 84

 36-Kr- 84 JAEA       EVAL-AUG09 K.Shibata, A.Ichihara, S.Kunieda 
                      DIST-MAY10                       20091118   
----JENDL-4.0         MATERIAL 3643                               
-----INCIDENT NEUTRON DATA                                        
------ENDF-6 FORMAT                                               
                                                                  
History                                                           
09-08 Evaluated by K. Shibata, A. Ichihara and S. Kunieda.        
09-10 Compiled by K. Shibata.                                     
                                                                  
MF= 1 General information                                         
  MT=451 Descriptive data and directory                           
                                                                  
MF= 2  Resonance parameters                                       
  MT=151 Resolved and unresolved resonance parameters             
    Resolved resonance region (MLBW formula) : below 2.48 keV     
      Evaluation of JENDL-2 was performed as follows :            
      Neutron widths and average radiation width for the two      
      positive levels at 519 and 580 eV were taken from the data  
      given by Mughabghab et al./1/  The six resonance levels     
      from 1.164 to 2.12 keV were abandoned, because their        
      isotopic assignment was uncertain.  The value of average    
      radiation width was modified to 121 meV so as to reproduce  
      the neutron resonance capture integral of 2.43+-0.2 barns   
      given by Mughabghab et al.  The values of neutron orbital   
      angular momentum L and total spin J were assumed to be 0    
      and 0.5, respectively.  Scattering radius was also taken    
      from the graph (Fig. 1, part A) given by Mughabghab et al.  
      A negative resonance was added at -150 eV so as to reproduce
      the thermal capture cross section of 0.110+-0.015 barns/1/. 
                                                                  
      For JENDL-3 and -4, any modification was not made, because  
      new measurements have not been carried out.                 
                                                                  
    Unresolved resonance region: 2.48 keV - 1 MeV                 
      The parameters were obtained by fitting to the total and    
      capture cross sections calculated from POD /2/.  The        
      unresolved parameters should be used only for self-shielding
      calculation.                                                
                                                                  
    Thermal cross sections and resonance integrals at 300 K       
    ----------------------------------------------------------    
                     0.0253 eV           res. integ. (*)          
                      (barns)              (barns)                
    ----------------------------------------------------------    
     Total           6.3071E+00                                   
     Elastic         6.1971E+00                                   
     n,gamma         1.1004E-01           2.3895E+00              
    ----------------------------------------------------------    
       (*) Integrated from 0.5 eV to 10 MeV.                      
                                                                  
MF= 3 Neutron cross sections                                      
  MT=  1 Total cross section                                      
    Calculated with POD code /2/.                                 
                                                                  
  MT=  2 Elastic scattering cross section                         
    Obtained by subtracting non-elastic cross sections from total 
    cross sections.                                               
                                                                  
  MT=  3 Non-elastic cross section                                
    Sum of partial non-elastic cross sections.                    
                                                                  
  MT=  4,51-91 (n,n') cross section                               
    Calculated with POD code /2/.                                 
                                                                  
  MT= 16 (n,2n) cross section                                     
    Calculated with POD code /2/.                                 
                                                                  
  MT= 17 (n,3n) cross section                                     
    Calculated with POD code /2/.                                 
                                                                  
  MT= 22 (n,na) cross section                                     
    Calculated with POD code /2/.                                 
                                                                  
  MT= 28 (n,np) cross section                                     
    Calculated with POD code /2/.                                 
                                                                  
  MT=102 Capture cross section                                    
    Calculated with POD code /2/.                                 
                                                                  
  MT=103 (n,p) cross section                                      
    Calculated with POD code /2/.                                 
                                                                  
  MT=104 (n,d) cross section                                      
    Calculated with POD code /2/.                                 
                                                                  
  MT=105 (n,t) cross section                                      
    Calculated with POD code /2/.                                 
                                                                  
  MT=106 (n,He3) cross section                                    
    Calculated with POD code /2/.                                 
                                                                  
  MT=107 (n,a) cross section                                      
    Calculated with POD code /2/.                                 
                                                                  
  MT=203 (n,xp) cross section                                     
    Calculated with POD code /2/.                                 
                                                                  
  MT=204 (n,xd) cross section                                     
    Calculated with POD code /2/.                                 
                                                                  
  MT=205 (n,xt) cross section                                     
    Calculated with POD code /2/.                                 
                                                                  
  MT=206 (n,xHe3) cross section                                   
    Calculated with POD code /2/.                                 
                                                                  
  MT=207 (n,xa) cross section                                     
    Calculated with POD code /2/.                                 
                                                                  
MF= 4 Angular distributions of emitted neutrons                   
  MT=  2 Elastic scattering                                       
    Calculated with POD code /2/.                                 
                                                                  
MF= 6 Energy-angle distributions of emitted particles             
  MT= 16 (n,2n) reaction                                          
    Neutron spectra calculated with POD/2/.                       
                                                                  
  MT= 17 (n,3n) reaction                                          
    Neutron spectra calculated with POD/2/.                       
                                                                  
  MT= 22 (n,na) reaction                                          
    Neutron spectra calculated with POD/2/.                       
                                                                  
  MT= 28 (n,np) reaction                                          
    Neutron spectra calculated with POD/2/.                       
                                                                  
  MT= 51 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 52 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 53 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 54 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 55 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 56 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 57 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 58 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 59 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 60 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 61 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 62 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 63 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 64 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 65 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 66 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 67 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 68 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 69 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 70 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 71 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 72 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 73 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 74 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 75 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 76 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 77 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 78 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 79 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 80 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 81 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 82 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 83 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 84 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 85 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 86 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 87 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 88 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/2/.         
                                                                  
  MT= 91 (n,n') reaction                                          
    Neutron spectra calculated with POD/2/.                       
                                                                  
  MT= 203 (n,xp) reaction                                         
    Proton spectra calculated with POD/2/.                        
                                                                  
  MT= 204 (n,xd) reaction                                         
    Deuteron spectra calculated with POD/2/.                      
                                                                  
  MT= 205 (n,xt) reaction                                         
    Triton spectra calculated with POD/2/.                        
                                                                  
  MT= 206 (n,xHe3) reaction                                       
    He3 spectra calculated with POD/2/.                           
                                                                  
  MT= 207 (n,xa) reaction                                         
    Alpha spectra calculated with POD/2/.                         
                                                                  
MF=12 Gamma-ray multiplicities                                    
  MT=  3 Non-elastic gamma emission                               
    Calculated with POD code /2/.                                 
                                                                  
MF=14 Gamma-ray angular distributions                             
  MT=  3 Non-elastic gamma emission                               
    Assumed to be isotropic.                                      
                                                                  
MF=15 Gamma-ray spectra                                           
  MT=  3 Non-elastic gamma emission                               
    Calculated with POD code /2/.                                 
                                                                  
                                                        
                                                                  
***************************************************************   
*        Nuclear Model Calculations with POD Code /2/         *   
***************************************************************   
1. Theoretical models                                             
 The POD code is based on the spherical optical model, the        
distorted-wave Born approximaiton (DWBA), one-component exciton   
preequilibrium model, and the Hauser-Feshbach-Moldauer statis-    
tical model.  With the preequilibrim model, semi-empirical        
pickup and knockout process can be taken into account for         
composite-particle emission.  The gamma-ray emission from the     
compound nucleus can be calculated within the framework of the    
exciton model.  The code is capable of reading in particle        
transmission coefficients calculated by separate spherical or     
coupled-channel optical model code.                               
                                                                  
2. Optical model parameters                                       
Neutrons:                                                         
  Coupled-channel optical model parameters /3/                    
Protons:                                                          
  Koning and Delaroche /4/                                        
Deuterons:                                                        
  Lohr and Haeberli /5/                                           
Tritons:                                                          
  Becchetti and Greenlees /6/                                     
He-3:                                                             
  Becchetti and Greenlees /6/                                     
Alphas:                                                           
  Lemos /7/ potentials modified by Arthur and Young /8/           
                                                                  
3. Level scheme of Kr- 84                                         
  -------------------------                                       
   No.   Ex(MeV)     J  PI                                        
  -------------------------                                       
    0    0.00000     0   +                                        
    1    0.88162     2   +                                        
    2    1.83730     0   +                                        
    3    1.89778     2   +                                        
    4    2.09500     4   +                                        
    5    2.34546     4   +                                        
    6    2.48920     2   +                                        
    7    2.62298     2   +                                        
    8    2.70028     3   -                                        
    9    2.75928     2   +                                        
   10    2.77095     5   -                                        
   11    2.77500     2   +                                        
   12    2.86109     3   -                                        
   13    3.04211     2   +                                        
   14    3.08238     3   -                                        
   15    3.17251     6   +                                        
   16    3.18329     4   +                                        
   17    3.21934     5   -                                        
   18    3.23602     8   +                                        
   19    3.28867     5   +                                        
   20    3.31239     3   -                                        
   21    3.33500     1   -                                        
   22    3.36588     1   -                                        
   23    3.40816     3   -                                        
   24    3.42673     2   +                                        
   25    3.46300     7   +                                        
   26    3.47575     1   -                                        
   27    3.57000     3   -                                        
   28    3.58710     6   -                                        
   29    3.63850     5   -                                        
   30    3.65147     7   -                                        
   31    3.70587     2   +                                        
   32    3.71821     3   -                                        
   33    3.77700     2   -                                        
   34    3.83158     7   -                                        
   35    3.87010     3   -                                        
   36    3.87880     2   +                                        
   37    3.92733     1   -                                        
   38    3.95121     6   +                                        
  -------------------------                                       
  Levels above  3.96121 MeV are assumed to be continuous.         
                                                                  
4. Level density parameters                                       
 Energy-dependent parameters of Mengoni-Nakajima /9/ were used    
  ----------------------------------------------------------      
  Nuclei    a*    Pair    Esh     T     E0    Ematch Elv_max      
          1/MeV   MeV     MeV    MeV    MeV    MeV    MeV         
  ----------------------------------------------------------      
  Kr- 85  11.890  1.302  0.718  0.695  0.285  5.433  2.637        
  Kr- 84  11.089  2.619  1.235  0.745  1.364  7.286  3.951        
  Kr- 83  11.668  1.317  2.381  0.710 -0.316  6.290  1.889        
  Kr- 82  10.867  2.650  2.503  0.781  0.700  8.353  3.187        
  Br- 84  11.060  0.000  0.608  0.898 -2.409  6.862  0.408        
  Br- 83  10.507  1.317  1.382  0.813 -0.276  6.734  2.134        
  Br- 82  10.599  0.000  2.092  0.832 -2.117  6.154  1.261        
  Se- 82  10.867  2.650  1.071  0.699  1.874  6.455  3.586        
  Se- 81  10.589  1.333  1.999  0.755 -0.063  6.204  2.253        
  Se- 80  10.645  2.683  2.442  0.815  0.539  8.768  3.226        
  ----------------------------------------------------------      
                                                                  
5. Gamma-ray strength functions                                   
   M1, E2: Standard Lorentzian (SLO)                              
   E1    : Generalized Lorentzian (GLO) /10/                      
                                                                  
6. Preequilibrium process                                         
   Preequilibrium is on for n, p, d, t, He-3, and alpha.          
   Preequilibrium capture is on.                                  
                                                                  
References                                                        
 1) Mughabghab, S.F. et al.: "Neutron Cross Sections, Vol. I,     
    Part A", Academic Press (1981).                               
 2) A.Ichihara et al., JAEA-Data/Code 2007-012 (2007).            
 3) S.Kunieda et al., J. Nucl. Sci. Technol. 44, 838 (2007).      
 4) A.J.Koning, J.P.Delaroche, Nucl. Phys. A713, 231 (2003).      
 5) J.M.Lohr, W.Haeberli, Nucl. Phys. A232, 381 (1974).           
 6) F.D.Becchetti,Jr., G.W.Greenlees, "Polarization               
    Phenomena in Nuclear Reactions," p.682, The University        
    of Wisconsin Press (1971).                                    
 7) O.F.Lemos, Orsay Report, Series A, No.136 (1972).             
 8) E.D.Arthur, P.G.Young, LA-8626-MS (1980).                     
 9) A.Mengoni, Y.Nakajima, J. Nucl. Sci. Technol. 31, 151         
    (1994).                                                       
10) J.Kopecky, M.Uhl, Nucl. Sci. Eng. 41, 1941 (1990).