55-Cs-133

 55-Cs-133 JAEA+      EVAL-Apr09 N.Iwamoto,H.Matsunobu            
                      DIST-MAY10                       20100119   
----JENDL-4.0         MATERIAL 5525                               
-----INCIDENT NEUTRON DATA                                        
------ENDF-6 FORMAT                                               
                                                                  
History                                                           
09-04 The resolved resonance parameters were evaluated by         
      H.Matsunobu,N.Iwamoto.                                      
      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             
    Resolved resonance region (MLBW formula) : below 5.98 keV     
      Evaluation of the resonance parameters for JENDL-3.3 was    
      performed on the basis of the following experimental data : 
      Landon and Sailor/1/, Harvey et al./2/, Garg et al.         
      /3/, Jung et al./4/, Thomas et al./5/, Riehs and            
      Thomas/6/, Hockenbury et al./7/, Anufriev et al./8/,        
      Macklin/9/, Popov and Tshetsyak/10/, and Nakajima et al.    
      /11/.                                                       
      The neutron orbital angular momentum l were assumed to be 0 
      for all the resonance levels. For resonance levels whose the
      value of total spin j was unknown, the j-values were        
      estimated tentatively with a random number method. The      
      radiation widths were derived from the neutron capture areas
      measured by Macklin and by Nakajima et al. with given or    
      estimated j-values. For resonance levels which the radiation
      width was unknown, the average radiation width calculated   
      from the known radiation widths, was adopted. Two negative  
      resonance levels were added so as to reproduce the thermal  
      capture cross section of 29.0+-1.5 barns given by Mughabghab
      et al./12/                                                  
      In JENDL-4, resonance energy range from -40 eV to 6 keV was 
      divided into three regions as follows:                      
        I.   low energy region    : from -40 eV to 800 eV         
        II.  medium energy region : from 800 eV to 2660 eV        
        III. high energy region   : from 2660 eV to 6000 eV       
      In low energy region, there are 9 data except Macklin data, 
      as mentioned above. Furthermore, a new data measured by     
      Sharapov et al./13/ were available. The data contain s-wave 
      data of 22 points, p-wave data of 26 points, and d-wave data
      of 1 point. In this region, the parameters of 48 levels were
      evaluated on the basis of the data by Nakajima et al., by   
      Garg et al., by Anufriev et al., and by Sharapov et al.     
      In medium energy region, there are only 2 data by Nakajima  
      et al. and by Garg et al. In this region, the parameters of 
      95 levels were evaluated mainly by the data of Nakajima et  
      al. In high energy region, there are 3 data by Nakajima et  
      al., by Macklin, and by Garg et al. In this region, the     
      parameters of 185 levels were evaluated mainly by the data  
      of Nakajima et al. and of Macklin. The data of Garg et al.  
      were adopted to amend some missing levels. All of the p-wave
      and d-wave data by Sharapov et al. were compiled in JENDL-4.
      For the resonance levels whose radiation width was unknown, 
      the average radiation widths were adopted in the three      
      regions, respectively. The resorance parameters of two      
      negative levels were modified so as to reproduce the        
      thermal capture cross section of 29+-1 barns measured at    
      0.0253 ev by nakamura et al./14/.                           
      The all s-wave resonance data by Sharapov et al./13/ were   
      adopted, in order to improve the result of an integral test.
                                                                  
    Unresolved resonance region : 5.98 keV - 100 keV              
      The unresolved resonance paramters (URP) were determined by 
      ASREP code /15/ so as to reproduce the evaluated total and  
      capture cross sections calculated with optical model code   
      OPTMAN /16/ and CCONE /17/. 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           3.2887e+01                                 
       Elastic         3.9851e+00                                 
       n,gamma         2.8902e+01           4.4624e+02            
       n,alpha         1.1070e-10                                 
      ----------------------------------------------------------  
         (*) 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 /17/.                              
                                                                  
  MT= 16 (n,2n) cross section                                     
    Calculated with CCONE code /17/.                              
                                                                  
  MT= 17 (n,3n) cross section                                     
    Calculated with CCONE code /17/.                              
                                                                  
  MT= 22 (n,na) cross section                                     
    Calculated with CCONE code /17/.                              
                                                                  
  MT= 24 (n,2na) cross section                                    
    Calculated with CCONE code /17/.                              
                                                                  
  MT= 28 (n,np) cross section                                     
    Calculated with CCONE code /17/.                              
                                                                  
  MT= 29 (n,n2a) cross section                                    
    Calculated with CCONE code /17/.                              
                                                                  
  MT= 30 (n,2n2a) cross section                                   
    Calculated with CCONE code /17/.                              
                                                                  
  MT= 32 (n,nd) cross section                                     
    Calculated with CCONE code /17/.                              
                                                                  
  MT= 33 (n,nt) cross section                                     
    Calculated with CCONE code /17/.                              
                                                                  
  MT= 34 (n,nHe3) cross section                                   
    Calculated with CCONE code /17/.                              
                                                                  
  MT= 41 (n,2np) cross section                                    
    Calculated with CCONE code /17/.                              
                                                                  
  MT= 44 (n,n2p) cross section                                    
    Calculated with CCONE code /17/.                              
                                                                  
  MT= 45 (n,npa) cross section                                    
    Calculated with CCONE code /17/.                              
                                                                  
  MT= 51-91 (n,n') cross section                                  
    Calculated with CCONE code /17/.                              
                                                                  
  MT=102 Capture cross section                                    
    Calculated with CCONE code /17/.                              
                                                                  
  MT=103 (n,p) cross section                                      
    Calculated with CCONE code /17/.                              
                                                                  
  MT=104 (n,d) cross section                                      
    Calculated with CCONE code /17/.                              
                                                                  
  MT=105 (n,t) cross section                                      
    Calculated with CCONE code /17/.                              
                                                                  
  MT=106 (n,He3) cross section                                    
    Calculated with CCONE code /17/.                              
                                                                  
  MT=107 (n,a) cross section                                      
    Calculated with CCONE code /17/.                              
                                                                  
  MT=108 (n,2a) cross section                                     
    Calculated with CCONE code /17/.                              
                                                                  
  MT=111 (n,2p) cross section                                     
    Calculated with CCONE code /17/.                              
                                                                  
  MT=112 (n,pa) cross section                                     
    Calculated with CCONE code /17/.                              
                                                                  
  MT=115 (n,pd) cross section                                     
    Calculated with CCONE code /17/.                              
                                                                  
  MT=116 (n,pt) cross section                                     
    Calculated with CCONE code /17/.                              
                                                                  
  MT=117 (n,da) cross section                                     
    Calculated with CCONE code /17/.                              
                                                                  
MF= 4 Angular distributions of emitted neutrons                   
  MT=  2 Elastic scattering                                       
    Calculated with CCONE code /17/.                              
                                                                  
MF= 6 Energy-angle distributions of emitted particles             
  MT= 16 (n,2n) reaction                                          
    Calculated with CCONE code /17/.                              
                                                                  
  MT= 17 (n,3n) reaction                                          
    Calculated with CCONE code /17/.                              
                                                                  
  MT= 22 (n,na) reaction                                          
    Calculated with CCONE code /17/.                              
                                                                  
  MT= 24 (n,2na) reaction                                         
    Calculated with CCONE code /17/.                              
                                                                  
  MT= 28 (n,np) reaction                                          
    Calculated with CCONE code /17/.                              
                                                                  
  MT= 29 (n,n2a) reaction                                         
    Calculated with CCONE code /17/.                              
                                                                  
  MT= 30 (n,2n2a) reaction                                        
    Calculated with CCONE code /17/.                              
                                                                  
  MT= 32 (n,nd) reaction                                          
    Calculated with CCONE code /17/.                              
                                                                  
  MT= 33 (n,nt) reaction                                          
    Calculated with CCONE code /17/.                              
                                                                  
  MT= 34 (n,nHe3) reaction                                        
    Calculated with CCONE code /17/.                              
                                                                  
  MT= 41 (n,2np) reaction                                         
    Calculated with CCONE code /17/.                              
                                                                  
  MT= 44 (n,n2p) reaction                                         
    Calculated with CCONE code /17/.                              
                                                                  
  MT= 45 (n,npa) reaction                                         
    Calculated with CCONE code /17/.                              
                                                                  
  MT= 51-91 (n,n') reaction                                       
    Calculated with CCONE code /17/.                              
                                                                  
  MT=102 Capture reaction                                         
    Calculated with CCONE code /17/.                              
                                                                  
                                                                  
                                                                  
***************************************************************** 
       Nuclear Model Calculation with CCONE code /17/             
***************************************************************** 
                                                                  
  Models and parameters used in the CCONE calculation             
  1) Optical model                                                
    * optical model potential                                     
      neutron  omp: Kunieda,S. et al./18/ (+)                     
      proton   omp: Koning,A.J. and Delaroche,J.P./19/            
      deuteron omp: Lohr,J.M. and Haeberli,W./20/                 
      triton   omp: Becchetti Jr.,F.D. and Greenlees,G.W./21/     
      He3      omp: Becchetti Jr.,F.D. and Greenlees,G.W./21/     
      alpha    omp: McFadden,L. and Satchler,G.R./22/             
      (+) omp parameters were modified.                           
                                                                  
  2) Two-component exciton model/23/                              
    * Global parametrization of Koning-Duijvestijn/24/            
      was used.                                                   
    * Gamma emission channel/25/ was added to simulate direct     
      and semi-direct capture reaction.                           
                                                                  
  3) Hauser-Feshbach statistical model                            
    * Width fluctuation correction/26/ 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/27/.           
      Parameters are shown in Table 2.                            
    * Gamma-ray strength function of generalized Lorentzian form  
      /28/,/29/ 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-133                                   
  -------------------                                             
  No.  Ex(MeV)  J  PI                                             
  -------------------                                             
   0  0.00000  7/2 +                                              
   1  0.08100  5/2 +                                              
   2  0.16061  5/2 +                                              
   3  0.38385  3/2 +                                              
   4  0.43701  1/2 +                                              
   5  0.63256 11/2 +                                              
   6  0.64039  3/2 +                                              
   7  0.70554  9/2 +                                              
   8  0.72830  7/2 -                                              
   9  0.76771  9/2 +                                              
  10  0.78878  7/2 +                                              
  11  0.81906  7/2 +                                              
  12  0.87182  7/2 +                                              
  13  0.91609  9/2 -                                              
  14  0.94160  7/2 +                                              
  -------------------                                             
                                                                  
Table 2. Level density parameters                                 
  --------------------------------------------------------        
  Nuclide      a*    Pair  Eshell       T      E0  Ematch         
            1/MeV     MeV     MeV     MeV     MeV     MeV         
  --------------------------------------------------------        
   Cs-134 17.0000  0.0000 -0.8946  0.7066 -2.2698  5.8956         
   Cs-133 16.4429  1.0405 -0.1729  0.7096 -1.3562  6.9453         
   Cs-132 15.0210  0.0000  0.5030  0.7096 -2.0934  5.3772         
   Cs-131 16.2311  1.0484  1.0372  0.6798 -1.3713  6.6283         
   Xe-133 18.7000  1.0405 -1.7673  0.6413 -0.6524  6.0509         
   Xe-132 16.8500  2.0889 -1.1507  0.6595  0.5201  6.8662         
   Xe-131 18.6500  1.0484 -0.1767  0.6072 -0.8373  5.8792         
   Xe-130 16.4000  2.1049  0.1531  0.6510  0.2933  6.9512         
    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         
    I-130 16.4000  0.0000 -0.6800  0.8536 -4.2325  9.0264         
    I-129 15.7137  1.0565 -0.1025  0.6848 -0.7998  6.1306         
    I-128 16.4000  0.0000  0.6379  0.7507 -3.3087  6.9967         
    I-127 15.0536  1.0648  1.0709  0.6873 -1.0070  6.2257         
  --------------------------------------------------------        
                                                                  
Table 3. Gamma-ray strength function for Cs-134                   
  --------------------------------------------------------        
  * 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 =  8.01 (MeV) EG = 4.00 (MeV) SIG =   1.13 (mb)        
  * E2: ER = 12.31 (MeV) EG = 4.50 (MeV) SIG =   2.99 (mb)        
  --------------------------------------------------------        
                                                                  
References                                                        
 1) Landon, H.H. and Sailor, V.L. : PR, 93, 1030 (1954).          
 2) Harvey, J.A., et al.: Phys. Rev., 99, 10 (1955).              
 3) Garg, J.B. et al. : Phys. Rev., B137, 547 (1965).             
 4) Jung, H.H., et al.: "Proc. 2nd IAEA Conf. on Nucl. Data for   
   Reactors, Helsinki 1970", Vol.1, 679.                          
 5) Thomas, B.W., et al.: AERE-PR/NP-18, 23 (1972).               
 6) Riehs, P. and Thomas, B.W. : "Proc. 2nd Int. Sympos. on       
   Neutron Capture Gamma-ray Spectroscopy and Related Topics,     
   Petten 1974", 300.                                             
 7) Hockenbury, R.W. et al.: ERDA-NDC-9, 242 (1977).              
 8) Anufriev, V.A., et al.: AE, 43, 201 (1977).                   
 9) Macklin, R.L. : Nucl. Sci. Eng., 81, 418 (1982).              
10) Popov, A.B. and Tshetsyak, K : JINR-P3-81-721 (1981).         
11) Nakajima, Y. et al.: Ann. Nucl. Energy, 17, 569 (1990).       
12) Mughabghab, S.F. et al.: "Neutron Cross Sections, Vol. I,     
   Part A", Academic Press (1981).                                
13) Sharapov, E.I. et al.: PR/C, 59,1772 (1999).                  
14) Nakamura, S. et al.: J. Nucl. Sci. Technol., 36, 635 (1999).  
15) Kikuchi,Y. et al.: JAERI-Data/Code 99-025 (1999)              
    [in Japanese].                                                
16) Soukhovitski,E.Sh. et al.: JAERI-Data/Code 2005-002 (2004).   
17) Iwamoto,O.: J. Nucl. Sci. Technol., 44, 687 (2007).           
18) Kunieda,S. et al.: J. Nucl. Sci. Technol. 44, 838 (2007).     
19) Koning,A.J. and Delaroche,J.P.: Nucl. Phys. A713, 231 (2003)  
    [Global potential].                                           
20) Lohr,J.M. and Haeberli,W.: Nucl. Phys. A232, 381 (1974).      
21) Becchetti Jr.,F.D. and Greenlees,G.W.: Ann. Rept.             
    J.H.Williams Lab., Univ. Minnesota (1969).                    
22) McFadden,L. and Satchler,G.R.: Nucl. Phys. 84, 177 (1966).    
23) Kalbach,C.: Phys. Rev. C33, 818 (1986).                       
24) Koning,A.J., Duijvestijn,M.C.: Nucl. Phys. A744, 15 (2004).   
25) Akkermans,J.M., Gruppelaar,H.: Phys. Lett. 157B, 95 (1985).   
26) Moldauer,P.A.: Nucl. Phys. A344, 185 (1980).                  
27) Mengoni,A. and Nakajima,Y.: J. Nucl. Sci. Technol., 31, 151   
    (1994).                                                       
28) Kopecky,J., Uhl,M.: Phys. Rev. C41, 1941 (1990).              
29) Kopecky,J., Uhl,M., Chrien,R.E.: Phys. Rev. C47, 312 (1990).