55-Cs-137

 55-Cs-137 JAEA       EVAL-Apr09 N.Iwamoto                        
                      DIST-MAY10                       20100119   
----JENDL-4.0         MATERIAL 5537                               
-----INCIDENT NEUTRON DATA                                        
------ENDF-6 FORMAT                                               
                                                                  
History                                                           
09-04 The data above the resolved resonance region were evaluated 
      and compiled by N.Iwamoto.                                  
                                                                  
MF= 1 General information                                         
  MT=451 Descriptive data and directory                           
                                                                  
MF= 2  Resonance parameters                                       
  MT=151 Resolved and unresolved resonance parameters             
    No resolved resonance parameters                              
      Energy boundary was determined so as to reproduce the       
      capture resonance integral of 0.35+-0.07 barn measured by   
      Harada et al. /1/                                           
                                                                  
    Unresolved resonance region : 640 eV - 150 keV                
      The unresolved resonance paramters (URP) were determined by 
      ASREP code /2/ so as to reproduce the evaluated total and   
      capture cross sections calculated with optical model code   
      OPTMAN /3/ and CCONE /4/. 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. (*)        
                        (barn)               (barn)               
      ----------------------------------------------------------  
       Total           3.8184e+00                                 
       Elastic         3.5433e+00                                 
       n,gamma         2.7010e-01           3.5439e-01            
       n,alpha         1.6940e-18                                 
      ----------------------------------------------------------  
         (*) Integrated from 0.5 eV to 10 MeV.                    
                                                                  
MF= 3 Neutron cross sections                                      
  MT=  1 Total cross section                                      
    Sum of partial cross sections.                                
                                                                  
  MT=  2 Elastic scattering cross section                         
    Obtained by subtracting non-elastic scattering cross sections 
      from total cross section.                                   
                                                                  
  MT=  4 (n,n') cross section                                     
    Calculated with CCONE code /4/.                               
                                                                  
  MT= 16 (n,2n) cross section                                     
    Calculated with CCONE code /4/.                               
                                                                  
  MT= 17 (n,3n) cross section                                     
    Calculated with CCONE code /4/.                               
                                                                  
  MT= 22 (n,na) cross section                                     
    Calculated with CCONE code /4/.                               
                                                                  
  MT= 24 (n,2na) cross section                                    
    Calculated with CCONE code /4/.                               
                                                                  
  MT= 28 (n,np) cross section                                     
    Calculated with CCONE code /4/.                               
                                                                  
  MT= 29 (n,n2a) cross section                                    
    Calculated with CCONE code /4/.                               
                                                                  
  MT= 30 (n,2n2a) cross section                                   
    Calculated with CCONE code /4/.                               
                                                                  
  MT= 32 (n,nd) cross section                                     
    Calculated with CCONE code /4/.                               
                                                                  
  MT= 33 (n,nt) cross section                                     
    Calculated with CCONE code /4/.                               
                                                                  
  MT= 34 (n,nHe3) cross section                                   
    Calculated with CCONE code /4/.                               
                                                                  
  MT= 41 (n,2np) cross section                                    
    Calculated with CCONE code /4/.                               
                                                                  
  MT= 44 (n,n2p) cross section                                    
    Calculated with CCONE code /4/.                               
                                                                  
  MT= 45 (n,npa) cross section                                    
    Calculated with CCONE code /4/.                               
                                                                  
  MT= 51-91 (n,n') cross section                                  
    Calculated with CCONE code /4/.                               
                                                                  
  MT=102 Capture cross section                                    
    Calculated with CCONE code /4/.                               
                                                                  
  MT=103 (n,p) cross section                                      
    Calculated with CCONE code /4/.                               
                                                                  
  MT=104 (n,d) cross section                                      
    Calculated with CCONE code /4/.                               
                                                                  
  MT=105 (n,t) cross section                                      
    Calculated with CCONE code /4/.                               
                                                                  
  MT=106 (n,He3) cross section                                    
    Calculated with CCONE code /4/.                               
                                                                  
  MT=107 (n,a) cross section                                      
    Calculated with CCONE code /4/.                               
                                                                  
  MT=108 (n,2a) cross section                                     
    Calculated with CCONE code /4/.                               
                                                                  
  MT=111 (n,2p) cross section                                     
    Calculated with CCONE code /4/.                               
                                                                  
  MT=112 (n,pa) cross section                                     
    Calculated with CCONE code /4/.                               
                                                                  
  MT=115 (n,pd) cross section                                     
    Calculated with CCONE code /4/.                               
                                                                  
  MT=116 (n,pt) cross section                                     
    Calculated with CCONE code /4/.                               
                                                                  
  MT=117 (n,da) cross section                                     
    Calculated with CCONE code /4/.                               
                                                                  
MF= 4 Angular distributions of emitted neutrons                   
  MT=  2 Elastic scattering                                       
    Calculated with CCONE code /4/.                               
                                                                  
MF= 6 Energy-angle distributions of emitted particles             
  MT= 16 (n,2n) reaction                                          
    Calculated with CCONE code /4/.                               
                                                                  
  MT= 17 (n,3n) reaction                                          
    Calculated with CCONE code /4/.                               
                                                                  
  MT= 22 (n,na) reaction                                          
    Calculated with CCONE code /4/.                               
                                                                  
  MT= 24 (n,2na) reaction                                         
    Calculated with CCONE code /4/.                               
                                                                  
  MT= 28 (n,np) reaction                                          
    Calculated with CCONE code /4/.                               
                                                                  
  MT= 29 (n,n2a) reaction                                         
    Calculated with CCONE code /4/.                               
                                                                  
  MT= 30 (n,2n2a) reaction                                        
    Calculated with CCONE code /4/.                               
                                                                  
  MT= 32 (n,nd) reaction                                          
    Calculated with CCONE code /4/.                               
                                                                  
  MT= 33 (n,nt) reaction                                          
    Calculated with CCONE code /4/.                               
                                                                  
  MT= 34 (n,nHe3) reaction                                        
    Calculated with CCONE code /4/.                               
                                                                  
  MT= 41 (n,2np) reaction                                         
    Calculated with CCONE code /4/.                               
                                                                  
  MT= 44 (n,n2p) reaction                                         
    Calculated with CCONE code /4/.                               
                                                                  
  MT= 45 (n,npa) reaction                                         
    Calculated with CCONE code /4/.                               
                                                                  
  MT= 51-91 (n,n') reaction                                       
    Calculated with CCONE code /4/.                               
                                                                  
  MT=102 Capture reaction                                         
    Calculated with CCONE code /4/.                               
                                                                  
                                                                  
                                                                  
***************************************************************** 
       Nuclear Model Calculation with CCONE code /4/              
***************************************************************** 
                                                                  
  Models and parameters used in the CCONE calculation             
  1) Optical model                                                
    * optical model potential                                     
      neutron  omp: Kunieda,S. et al./5/ (+)                      
      proton   omp: Koning,A.J. and Delaroche,J.P./6/             
      deuteron omp: Lohr,J.M. and Haeberli,W./7/                  
      triton   omp: Becchetti Jr.,F.D. and Greenlees,G.W./8/      
      He3      omp: Becchetti Jr.,F.D. and Greenlees,G.W./8/      
      alpha    omp: McFadden,L. and Satchler,G.R./9/              
      (+) omp parameters were modified.                           
                                                                  
  2) Two-component exciton model/10/                              
    * Global parametrization of Koning-Duijvestijn/11/            
      was used.                                                   
    * Gamma emission channel/12/ was added to simulate direct     
      and semi-direct capture reaction.                           
                                                                  
  3) Hauser-Feshbach statistical model                            
    * Width fluctuation correction/13/ was applied.               
    * Neutron, proton, deuteron, triton, He3, alpha and gamma     
      decay channel were taken into account.                      
    * Transmission coefficients of neutrons were taken from       
      optical model calculation.                                  
    * The level scheme of the target is shown in Table 1.         
    * Level density formula of constant temperature and Fermi-gas 
      model were used with shell energy correction/14/.           
      Parameters are shown in Table 2.                            
    * Gamma-ray strength function of generalized Lorentzian form  
      /15/,/16/ was used for E1 transition.                       
      For M1 and E2 transitions the standard Lorentzian form was  
      adopted. The prameters are shown in Table 3.                
                                                                  
                                                                  
------------------------------------------------------------------
                              Tables                              
------------------------------------------------------------------
                                                                  
Table 1. Level Scheme of Cs-137                                   
  -------------------                                             
  No.  Ex(MeV)  J  PI                                             
  -------------------                                             
   0  0.00000  7/2 +                                              
   1  0.45549  5/2 +                                              
   2  0.84888  3/2 -                                              
   3  1.18469 11/2 +                                              
   4  1.27320 11/2 +                                              
   5  1.49000  1/2 +                                              
   6  1.56411  5/2 -                                              
   7  1.56983  5/2 -                                              
   8  1.57483  9/2 +                                              
   9  1.65123  5/2 +                                              
  10  1.67169 15/2 +                                              
  11  1.78346  3/2 -                                              
  12  1.86786  9/2 -                                              
  13  1.89399 17/2 +                                              
  14  1.91627  7/2 -                                              
  15  2.06802  5/2 +                                              
  -------------------                                             
                                                                  
Table 2. Level density parameters                                 
  --------------------------------------------------------        
  Nuclide      a*    Pair  Eshell       T      E0  Ematch         
            1/MeV     MeV     MeV     MeV     MeV     MeV         
  --------------------------------------------------------        
   Cs-138 17.6084  0.0000 -2.9194  0.6945 -1.4571  5.1887         
   Cs-137 16.8656  1.0252 -3.8037  0.6992  0.1372  5.5205         
   Cs-136 18.0000  0.0000 -2.9176  0.6768 -1.3925  5.0000         
   Cs-135 16.6000  1.0328 -1.8144  0.6675 -0.2856  5.6078         
   Xe-137 25.7000  1.0252 -3.8960  0.4707  0.4322  3.9078         
   Xe-136 17.3240  2.0580 -4.8277  0.7973  0.5592  8.7610         
   Xe-135 20.2000  1.0328 -3.8043  0.5665  0.4707  4.2857         
   Xe-134 17.1069  2.0733 -2.8193  0.7693 -0.1097  8.7590         
    I-136 17.0611  0.0000 -5.0302  0.7778 -1.0787  5.8529         
    I-135 16.3372  1.0328 -5.8723  0.8855 -0.3830  9.0941         
    I-134 16.8488  0.0000 -4.8096  0.8747 -2.2475  8.6722         
    I-133 16.1297  1.0405 -3.5913  0.8275 -1.0073  8.1906         
    I-132 16.6361  0.0000 -2.4976  0.7769 -2.2437  6.6852         
    I-131 15.9219  1.0484 -1.6425  0.7356 -0.8231  6.6968         
  --------------------------------------------------------        
                                                                  
Table 3. Gamma-ray strength function for Cs-138                   
  --------------------------------------------------------        
  * E1: ER = 15.25 (MeV) EG = 4.41 (MeV) SIG = 230.00 (mb)        
        ER =  6.20 (MeV) EG = 2.20 (MeV) SIG =   3.90 (mb)        
        ER =  2.10 (MeV) EG = 5.60 (MeV) SIG =   0.40 (mb)        
  * M1: ER =  7.93 (MeV) EG = 4.00 (MeV) SIG =   1.06 (mb)        
  * E2: ER = 12.19 (MeV) EG = 4.45 (MeV) SIG =   2.93 (mb)        
  --------------------------------------------------------        
                                                                  
References                                                        
 1) Harada,H. et al.: "Proc. The 1990 Symposium on Nucl. Data",   
    JAERI-M 91-032, P.199 (1991).                                 
 2) Kikuchi,Y. et al.: JAERI-Data/Code 99-025 (1999)              
    [in Japanese].                                                
 3) Soukhovitski,E.Sh. et al.: JAERI-Data/Code 2005-002 (2004).   
 4) Iwamoto,O.: J. Nucl. Sci. Technol., 44, 687 (2007).           
 5) Kunieda,S. et al.: J. Nucl. Sci. Technol. 44, 838 (2007).     
 6) Koning,A.J. and Delaroche,J.P.: Nucl. Phys. A713, 231 (2003)  
    [Global potential].                                           
 7) Lohr,J.M. and Haeberli,W.: Nucl. Phys. A232, 381 (1974).      
 8) Becchetti Jr.,F.D. and Greenlees,G.W.: Ann. Rept.             
    J.H.Williams Lab., Univ. Minnesota (1969).                    
 9) McFadden,L. and Satchler,G.R.: Nucl. Phys. 84, 177 (1966).    
10) Kalbach,C.: Phys. Rev. C33, 818 (1986).                       
11) Koning,A.J., Duijvestijn,M.C.: Nucl. Phys. A744, 15 (2004).   
12) Akkermans,J.M., Gruppelaar,H.: Phys. Lett. 157B, 95 (1985).   
13) Moldauer,P.A.: Nucl. Phys. A344, 185 (1980).                  
14) Mengoni,A. and Nakajima,Y.: J. Nucl. Sci. Technol., 31, 151   
    (1994).                                                       
15) Kopecky,J., Uhl,M.: Phys. Rev. C41, 1941 (1990).              
16) Kopecky,J., Uhl,M., Chrien,R.E.: Phys. Rev. C47, 312 (1990).