56-Ba-138

 56-Ba-138 JNDC       EVAL-MAR90 JNDC FP NUCLEAR DATA W.G.        
                      DIST-MAY10                       20091217   
----JENDL-4.0         MATERIAL 5649                               
-----INCIDENT NEUTRON DATA                                        
------ENDF-6 FORMAT                                               
                                                                  
   ===========================================================    
   Resonance parameters in JENDL-3.3 were revised for JENDL-4.    
   ===========================================================    
                                                                  
   ===========================================================    
   JENDL-3.2 data were automatically transformed to JENDL-3.3.    
    Interpolation of spectra: 22 (unit base interpolation)        
    (3,251) deleted, T-matrix of (4,2) deleted, and others.       
   ===========================================================    
                                                                  
History                                                           
84-10 Evaluation for JENDL-2 was made by JNDC FPND W.G./1/        
90-03 Modification for JENDL-3 was made/2/.                       
93-10 JENDL-3.2 was made by JNDC FPND W.G.                        
                                                                  
     *****   modified parts for JENDL-3.2   ********************  
      (2,151)       Resolved resonance parameters                 
      (3,102)       Re-normalization                              
      (3,2), (3,4), (3,51-91) and angular distributions           
                    Small effects of the re-normalization of      
                    capture cross section. ( < 0.3% )             
     ***********************************************************  
                                                                  
10-03 JENDL-4.0 was made.                                         
      Resoloved resonance parameters were evaluated by K.Shibata. 
      Compiled by S.Kunieda                                       
                                                                  
      *****   modified parts for JENDL-4.0   ******************** 
        (1,451)   Updated.                                        
        (2,151)   Updated.                                        
        (3,1)     Re-calculated from partial cross sections.      
        (3,4)     Re-calculated from partial cross sections.      
      *********************************************************** 
                                                                  
                                                                  
mf = 1  General information                                       
  mt=451 Comments and dictionary                                  
                                                                  
mf = 2  Resonance parameters                                      
  mt=151 Resolved and unresolved resonance parameters             
  Resolved resonance parameters for MLBW formula (below 100 keV)  
       For JENDL-2, evaluation was made by Kikuchi /3/ mainly on  
    the basis of the data measured by Musgrove et al./4/ up to 92 
    keV.  Above 100 keV, neutron widths were adopted from Bilpuch 
    et al./5/  Average capture widths were assumed to be 0.055+-  
    0.020 eV for s-wave resonances and 0.045+-0.020 eV for p-wave 
    ones, and to be 0.095 eV in the energy range above 100 keV.  A
    negative resonance was added at -6.22 keV so as to reproduce  
    the capture cross section of 0.360+-0.036 barns at 0.0253     
    eV/6/.                                                        
      For JENDL-3, 10 resonances were newly asigned by taking the 
    experimental data by Mizumoto/7/ in the energy range from 648 
    eV to 63.12 keV.  Total spin J of some resonances was tenta-  
    tively estimated with a random number method                  
    ************************************************************* 
      In JENDL-4, the data above 100 keV were replaced with the   
      ones obtained by Brusegan et al./28/  The radiation widths  
      of 95 meV and 47 meV were assumed for s- and p-wave         
      resonances, respectively.  The parameters for the negative  
      resonance were re-adjusted so as to reproduce the thermal   
      capture cross section recommended by Mughabghab./29/        
    ************************************************************* 
                                                                  
  No unresolved resonance region                                  
                                                                  
     Thermal cross sections & resonance integrals at 300 K        
      ----------------------------------------------------------  
                       0.0253 eV           res. integ. (*)        
                        (barns)              (barns)              
      ----------------------------------------------------------  
       Total          6.44545E+00                                 
       Elastic        6.04108E+00                                 
       n,gamma        4.04376E-01           2.83528E-01           
      ----------------------------------------------------------  
      (*) Integrated from 0.5 eV to 10 MeV.                       
                                                                  
                                                                  
mf = 3  Neutron cross sections                                    
  Below 100 keV, resonance parameters were given.                 
  Above 100 keV, the spherical optical and statistical model      
  calculation was performed with CASTHY/8/, by taking account of  
  competing reactions, of which cross sections were calculated    
  with PEGASUS/9/ standing on a preequilibrium and multi-step     
  evaporation model.  The OMP's for neutron given in Table 1 were 
  determined to reproduce a systematic trend of the Ba-nat. Total 
  cross section by changing Ws and rso of Iijima-Kawai potential  
  /10/.  The OMP's for charged particles are as follows:          
     proton   = Perey/11/                                         
     alpha    = Huizenga and Igo/12/                              
     deuteron = Lohr and Haeberli/13/                             
     helium-3 and triton = Becchetti and Greenlees/14/            
  Parameters for the composite level density formula of Gilbert   
  and Cameron/15/ were evaluated by Iijima et al./16/  More       
  extensive determination and modification were made in the       
  present work.  Table 2 shows the level density parameters used  
  in the present calculation.  Energy dependence of spin cut-off  
  parameter in the energy range below E-joint is due to Gruppelaar
  /17/.                                                           
                                                                  
  mt = 1  Total                                                   
    Spherical optical model calculation was adopted.              
                                                                  
  mt = 2  Elastic scattering                                      
    Calculated as (total - sum of partial cross sections).        
                                                                  
  mt = 4, 51 - 91  Inelastic scattering                           
    Spherical optical and statistical model calculation was       
    adopted.  The level scheme was taken from Ref./18/.           
                                                                  
           no.      energy(MeV)    spin-parity    dwba cal.       
           gr.       0.0             0  +                         
            1        1.4359          2  +             *           
            2        1.8987          4  +                         
            3        2.0907          6  +                         
            4        2.1896          2  +                         
            5        2.2032          6  +                         
            6        2.2180          2  +                         
            7        2.3077          4  +                         
            8        2.4156          5  +                         
            9        2.4457          3  +                         
           10        2.5832          1  +                         
           11        2.5840          4  +                         
           12        2.6396          2  +                         
           13        2.7795          4  +                         
           14        2.8517          3  +                         
           15        2.8810          3  -             *           
           16        2.9315          1  +                         
           17        2.9912          3  +                         
           18        3.0500          2  +                         
           19        3.1560          4  +                         
      Levels above 3.164 MeV were assumed to be overlapping.      
                                                                  
    For the levels with an asterisk, the contribution of direct   
    inelastic scattering cross sections was calculated by the     
    DWUCK-4 code/19/.  Deformation parameters (beta2 = 0.0925 and 
    beta3 = 0.118) were based on the data compiled by Raman et    
    al./20/ and Spear/21/, respectively.                          
                                                                  
  mt = 102  Capture                                               
    Spherical optical and statistical model calculation with      
    CASTHY was adopted.  Direct and semi-direct capture cross     
    sections were estimated according to the procedure of Benzi   
    and Reffo/22/ and normalized to 1 milli-barn at 14 MeV.       
                                                                  
    The gamma-ray strength function (2.54e-06) was adjusted to the
    capture cross section of 2.7 milli-barns at 700 keV so as to  
    reproduce the cross section measured by Johnsrud et al./23/   
    and Stavisskij and Tolstikov/24/                              
                                                                  
  mt = 16  (n,2n) cross section                                   
  mt = 17  (n,3n) cross section                                   
  mt = 22  (n,n'a) cross section                                  
  mt = 28  (n,n'p) cross section                                  
  mt =103  (n,p) cross section                                    
  mt =104  (n,d) cross section                                    
  mt =105  (n,t) cross section                                    
  mt =107  (n,alpha) cross section                                
    These reaction cross sections were calculated with the        
    preequilibrium and multi-step evaporation model code PEGASUS. 
                                                                  
    The Kalbach's constant k (= 144.6) was estimated by the       
    formula derived from Kikuchi-Kawai's formalism/25/ and level  
    density parameters.                                           
                                                                  
    Finally, the (n,2n), (n,p) and (n,alpha) cross sections were  
    normalized to the following values at 14.5 MeV:               
      (n,2n)      1750.00  mb (systematics of Wen Den Lu+/26/)    
      (n,p)          2.80  mb (measured by Ikeda+/27/)            
      (n,alpha)      2.10  mb (measured by Ikeda+)                
                                                                  
  mt = 251  mu-bar                                                
    Calculated with CASTHY.                                       
                                                                  
mf = 4  Angular distributions of secondary neutrons               
  Legendre polynomial coefficients for angular distributions are  
  given in the center-of-mass system for mt=2 and discrete inelas-
  tic levels, and in the laboratory system for mt=91.  They were  
  calculated with CASTHY.  Contribution of direct inelastic       
  scattering was calculated with DWUCK-4.  For other reactions,   
  isotropic distributions in the laboratory system were assumed.  
                                                                  
mf = 5  Energy distributions of secondary neutrons                
  Energy distributions of secondary neutrons were calculated with 
  PEGASUS for inelastic scattering to overlapping levels and for  
  other neutron emitting reactions.                               
                                                                  
TABLE 1  NEUTRON OPTICAL POTENTIAL PARAMETERS                     
                                                                  
                DEPTH (MEV)       RADIUS(FM)    DIFFUSENESS(FM)   
         ----------------------   ------------  ---------------   
        V  = 41.8                 R0 = 6.89     A0 = 0.62         
        WS = 2.95+0.789E          RS = 7.098    AS = 0.35         
        VSO= 7.0                  RSO= 6.89     ASO= 0.62         
  THE FORM OF SURFACE ABSORPTION PART IS DER. WOODS-SAXON TYPE.   
                                                                  
TABLE 2  LEVEL DENSITY PARAMETERS                                 
                                                                  
 NUCLIDE       A(1/MEV)  T(MEV)    C(1/MEV)  EX(MEV)   PAIRING    
 ---------------------------------------------------------------  
 54-XE-134     1.400E+01 6.300E-01 3.184E-01 5.224E+00 1.820E+00  
 54-XE-135     1.550E+01 5.565E-01 7.506E-01 4.010E+00 1.120E+00  
 54-XE-136     1.400E+01 6.500E-01 3.270E-01 5.679E+00 1.970E+00  
 54-XE-137     1.550E+01 5.565E-01 7.470E-01 4.010E+00 1.120E+00  
                                                                  
 55-CS-135     1.343E+01 6.537E-01 1.831E+00 4.203E+00 7.000E-01  
 55-CS-136     1.400E+01 6.000E-01 4.424E+00 2.967E+00 0.0        
 55-CS-137     1.336E+01 6.200E-01 9.986E-01 3.836E+00 8.500E-01  
 55-CS-138     1.470E+01 5.737E-01 4.715E+00 2.858E+00 0.0        
                                                                  
 56-BA-136     1.610E+01 6.500E-01 5.721E-01 6.928E+00 2.280E+00  
 56-BA-137     1.645E+01 5.640E-01 5.394E-01 4.905E+00 1.580E+00  
 56-BA-138     1.390E+01 7.200E-01 4.123E-01 7.233E+00 2.430E+00  
 56-BA-139     2.022E+01 4.800E-01 5.326E-01 4.629E+00 1.580E+00  
 ---------------------------------------------------------------  
                                                                  
 Spin cutoff parameters were calculated as 0.146*sqrt(a)*a**(2/3).
 In the CASTHY calculation, spin cutoff factors at 0 MeV were     
 assumed to be 7.914 for Ba-138 and 5.0 for Ba-139.               
                                                                  
References                                                        
 1) Aoki, T. et al.: Proc. Int. Conf. on Nuclear Data for Basic   
    and Applied Science, Santa Fe., Vol. 2, p.1627 (1985).        
 2) Kawai, M. et al.: J. Nucl. Sci. Technol., 29, 195 (1992).     
 3) Kikuchi, Y. et al.: JAERI-M 86-030 (1986).                    
 4) Musgrove, A.R. de L., et al.: Aust. J. Phys., 32, 213 (1979). 
 5) Bilpuch, E.G., et al.: Ann. Phys., 14, 387 (1961).            
 6) Mughabghab, S.F. et al.: "Neutron Cross Sections, Vol. I,     
    Part A", Academic Press (1981).                               
 7) Mizumoto, M.: J. Nucl. Sci. Eng., 25, 757 (1988).             
 8) Igarasi, S. and Fukahori, T.: JAERI 1321 (1991).              
 9) Iijima, S. et al.: JAERI-M 87-025, p. 337 (1987).             
10) Iijima, S. and Kawai, M.: J. Nucl. Sci. Technol., 20, 77      
    (1983).                                                       
11) Perey, F.G: Phys. Rev. 131, 745 (1963).                       
12) Huizenga, J.R. and Igo, G.: Nucl. Phys. 29, 462 (1962).       
13) Lohr, J.M. and Haeberli, W.: Nucl. Phys. A232, 381 (1974).    
14) Becchetti, F.D., Jr. and Greenlees, G.W.: Polarization        
    Phenomena in Nuclear Reactions ((Eds) H.H. Barshall and       
    W. Haeberli), p. 682, the University of Wisconsin Press.      
    (1971).                                                       
15) Gilbert, A. and Cameron, A.G.W.: Can. J. Phys., 43, 1446      
    (1965).                                                       
16) Iijima, S., et al.: J. Nucl. Sci. Technol. 21, 10 (1984).     
17) Gruppelaar, H.: ECN-13 (1977).                                
18) Matsumoto, J.: private communication (1981).                  
19) Kunz, P.D.: private communication.                            
20) Raman, S., et al.: Atom. Data and Nucl. Data Tables 36, 1     
    (1987)                                                        
21) Spear, R.H.: Atom. Data and Nucl. Data Table, 42, 55 (1989).  
22) Benzi, V. and Reffo, G.: CCDN-NW/10 (1969).                   
23) Johnsrud, A.E. et al.: Phys. Rev., 116, 927 (1959).           
24) Stavisskij, Ju.Ja. and Tolstikov, V.A.: At. Energija, 10, 508 
    (1961). EXFOR 40642004.                                       
25) Kikuchi, K. and Kawai, M.: "Nuclear Matter and Nuclear        
    Reactions", North Holland (1968).                             
26) Wen Den Lu and Fink, R.W.: Phys. Rev., C4, 1173 (1971).       
27) Ikeda, Y. et al.: JAERI 1312 (1988).                          
28) Brusegan, A. et al.: 94 Gatlinburg, p.227 (1994).             
29) Mughabghab, S.F.: "Atlas of Neutron Resonances", Elsevier     
    (2006).