72-Hf-176

 72-Hf-176 JAEA       EVAL-JUL09 K. Shibata (JAEA)                
                      DIST-MAY10                       20091111   
----JENDL-4.0         MATERIAL 7231                               
-----INCIDENT NEUTRON DATA                                        
------ENDF-6 FORMAT                                               
                                                                  
History                                                           
09-07 Evaluated by K. Shibata.                                    
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 parameters (MLBW formula) : Below 700 eV   
      JENDL-3.3 was based on the compilation of Mughabghab./1/    
      In JENDL-4, the data below 177.1 eV were replaced with the  
      data obtained by Trbovich et al./2/.                        
    Unresolved resonance region: 700 eV - 150 keV                 
      The parameters were obtained by fitting to the total and    
      capture cross sections calculated from POD /3/.  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           2.7965E+01                                   
     Elastic         5.8262E+00                                   
     n,gamma         2.2139E+01           6.9898E+02              
    ----------------------------------------------------------    
       (*) Integrated from 0.5 eV to 10 MeV.                      
                                                                  
MF= 3 Neutron cross sections                                      
  MT=  1 Total cross section                                      
    Calculated with POD code /3/.                                 
                                                                  
  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 /3/.                                 
                                                                  
  MT= 16 (n,2n) cross section                                     
    Calculated with POD code /3/.                                 
                                                                  
  MT= 17 (n,3n) cross section                                     
    Calculated with POD code /3/.                                 
                                                                  
  MT= 22 (n,na) cross section                                     
    Calculated with POD code /3/.                                 
                                                                  
  MT= 28 (n,np) cross section                                     
    Calculated with POD code /3/.                                 
                                                                  
  MT= 32 (n,nd) cross section                                     
    Calculated with POD code /3/.                                 
                                                                  
  MT=102 Capture cross section                                    
    Calculated with POD code /3/.                                 
                                                                  
  MT=103 (n,p) cross section                                      
    Calculated with POD code /3/.                                 
                                                                  
  MT=104 (n,d) cross section                                      
    Calculated with POD code /3/.                                 
                                                                  
  MT=105 (n,t) cross section                                      
    Calculated with POD code /3/.                                 
                                                                  
  MT=106 (n,He3) cross section                                    
    Calculated with POD code /3/.                                 
                                                                  
  MT=107 (n,a) cross section                                      
    Calculated with POD code /3/.                                 
                                                                  
  MT=203 (n,xp) cross section                                     
    Calculated with POD code /3/.                                 
                                                                  
  MT=204 (n,xd) cross section                                     
    Calculated with POD code /3/.                                 
                                                                  
  MT=205 (n,xt) cross section                                     
    Calculated with POD code /3/.                                 
                                                                  
  MT=206 (n,xHe3) cross section                                   
    Calculated with POD code /3/.                                 
                                                                  
  MT=207 (n,xa) cross section                                     
    Calculated with POD code /3/.                                 
                                                                  
MF= 4 Angular distributions of emitted neutrons                   
  MT=  2 Elastic scattering                                       
    Calculated with POD code /3/.                                 
                                                                  
MF= 6 Energy-angle distributions of emitted particles             
  MT= 16 (n,2n) reaction                                          
    Neutron spectra calculated with POD/3/.                       
                                                                  
  MT= 17 (n,3n) reaction                                          
    Neutron spectra calculated with POD/3/.                       
                                                                  
  MT= 22 (n,na) reaction                                          
    Neutron spectra calculated with POD/3/.                       
                                                                  
  MT= 28 (n,np) reaction                                          
    Neutron spectra calculated with POD/3/.                       
                                                                  
  MT= 32 (n,nd) reaction                                          
    Neutron spectra calculated with POD/3/.                       
                                                                  
  MT= 51 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 52 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 53 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 54 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 55 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 56 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 57 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 58 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 59 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 60 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 61 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 62 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 63 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 64 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 65 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 66 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 67 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 68 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 69 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 70 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 71 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 72 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 73 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 74 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 75 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 76 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 77 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 78 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 79 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 80 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 81 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 82 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 83 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 84 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 85 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 86 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 87 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 88 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 89 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 90 (n,n') reaction                                          
    Neutron angular distributions calculated with POD/3/.         
                                                                  
  MT= 91 (n,n') reaction                                          
    Neutron spectra calculated with POD/3/.                       
                                                                  
  MT= 203 (n,xp) reaction                                         
    Proton spectra calculated with POD/3/.                        
                                                                  
  MT= 204 (n,xd) reaction                                         
    Deuteron spectra calculated with POD/3/.                      
                                                                  
  MT= 205 (n,xt) reaction                                         
    Triton spectra calculated with POD/3/.                        
                                                                  
  MT= 206 (n,xHe3) reaction                                       
    He3 spectra calculated with POD/3/.                           
                                                                  
  MT= 207 (n,xa) reaction                                         
    Alpha spectra calculated with POD/3/.                         
                                                                  
MF=12 Gamma-ray multiplicities                                    
  MT=  3 Non-elastic gamma emission                               
    Calculated with POD code /3/.                                 
                                                                  
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 /3/.                                 
                                                                  
                                                        
                                                                  
***************************************************************   
*        Nuclear Model Calculations with POD Code /3/         *   
***************************************************************   
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 /4/                    
Protons:                                                          
  Koning and Delaroche /5/                                        
Deuterons:                                                        
  Lohr and Haeberli /6/                                           
Tritons:                                                          
  Becchetti and Greenlees /7/                                     
He-3:                                                             
  Becchetti and Greenlees /7/                                     
Alphas:                                                           
  Lemos /8/ potentials modified by Arthur and Young /9/           
                                                                  
3. Level scheme of Hf-176                                         
  -------------------------                                       
   No.   Ex(MeV)     J  PI                                        
  -------------------------                                       
    0    0.00000     0   +                                        
    1    0.08835     2   +                                        
    2    0.29018     4   +                                        
    3    0.59682     6   +                                        
    4    0.99774     8   +                                        
    5    1.14994     0   +                                        
    6    1.22663     2   +                                        
    7    1.24768     2   -                                        
    8    1.29312     0   +                                        
    9    1.31335     3   -                                        
   10    1.33306     6   +                                        
   11    1.34131     2   +                                        
   12    1.36200     1   +                                        
   13    1.37937     2   +                                        
   14    1.39019     4   +                                        
   15    1.40456     4   -                                        
   16    1.41293     4   -                                        
   17    1.44580     3   +                                        
   18    1.48107    10   +                                        
   19    1.50581     7   +                                        
   20    1.50857     5   -                                        
   21    1.53260     4   -                                        
   22    1.54030     4   +                                        
   23    1.55930     8   -                                        
   24    1.57756     3   +                                        
   25    1.59150     4   +                                        
   26    1.60700     8   -                                        
   27    1.62855     6   +                                        
   28    1.64343     1   -                                        
   29    1.65306     6   -                                        
   30    1.67234     1   +                                        
   31    1.67595     4   +                                        
   32    1.69991     8   +                                        
   33    1.70460     2   +                                        
   34    1.71043     3   -                                        
   35    1.72205     1   -                                        
   36    1.72780     5   +                                        
   37    1.73245     5   +                                        
   38    1.74900     0   +                                        
   39    1.76146     6   +                                        
   40    1.76689     4   +                                        
  -------------------------                                       
  Levels above  1.77689 MeV are assumed to be continuous.         
                                                                  
4. Level density parameters                                       
 Energy-dependent parameters of Mengoni-Nakajima /10/ were used.  
  ----------------------------------------------------------      
  Nuclei    a*    Pair    Esh     T     E0    Ematch Elv_max      
          1/MeV   MeV     MeV    MeV    MeV    MeV    MeV         
  ----------------------------------------------------------      
  Hf-177  20.775  0.902  1.759  0.533 -1.190  6.000  0.624        
  Hf-176  20.775  1.809  1.927  0.538 -0.407  7.077  1.767        
  Hf-175  20.255  0.907  2.027  0.481 -0.496  4.897  1.076        
  Hf-174  20.572  1.819  2.164  0.475  0.383  5.813  1.827        
  Lu-176  19.534  0.000  1.378  0.516 -1.470  4.263  0.659        
  Lu-175  19.850  0.907  1.723  0.499 -0.529  5.031  1.167        
  Lu-174  20.425  0.000  1.598  0.504 -1.597  4.342  0.561        
  Yb-174  20.077  1.819  1.456  0.506  0.310  6.070  2.037        
  Yb-173  19.765  0.912  1.401  0.553 -1.074  5.982  0.659        
  Yb-172  20.454  1.830  1.744  0.567 -0.670  7.581  1.720        
  ----------------------------------------------------------      
                                                                  
5. Gamma-ray strength functions                                   
   M1, E2: Standard Lorentzian (SLO)                              
   E1    : Generalized Lorentzian (GLO) /11/                      
                                                                  
6. Preequilibrium process                                         
   Preequilibrium is on for n, p, d, t, He-3, and alpha.          
   Preequilibrium capture is on.                                  
                                                                  
References                                                        
 1) S.F.Mughabghab, Neutron Cross Sections, Vol.2, Part B,        
    (1984).                                                       
 2) M.J.Trbovich et al., Nucl. Sci. Eng. 161, 303 (2009).         
 3) A.Ichihara et al., JAEA-Data/Code 2007-012 (2007).            
 4) S.Kunieda et al., J. Nucl. Sci. Technol. 44, 838 (2007).      
 5) A.J.Koning, J.P.Delaroche, Nucl. Phys. A713, 231 (2003).      
 6) J.M.Lohr, W.Haeberli, Nucl. Phys. A232, 381 (1974).           
 7) F.D.Becchetti,Jr., G.W.Greenlees, "Polarization               
    Phenomena in Nuclear Reactions," p.682, The University        
    of Wisconsin Press (1971).                                    
 8) O.F.Lemos, Orsay Report, Series A, No.136 (1972).             
 9) E.D.Arthur, P.G.Young, LA-8626-MS (1980).                     
10) A.Mengoni, Y.Nakajima, J. Nucl. Sci. Technol. 31, 151         
    (1994).                                                       
11) J.Kopecky, M.Uhl, Nucl. Sci. Eng. 41, 1941 (1990).