56-Ba-134

 56-Ba-134 JNDC       EVAL-MAR90 JNDC FP NUCLEAR DATA W.G.        
                      DIST-MAY10                       20091217   
----JENDL-4.0         MATERIAL 5637                               
-----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/.                       
                                                                  
10-03 JENDL-4.0 was made.                                         
      Resoloved resonance parameters were evaluated by K.Shibata. 
      Unresolved resonance parameters were evaluated by S.Kunieda.
      The LSSF=1 was applied.                                     
      Compiled by S.Kunieda                                       
                                                                  
      *****   modified parts for JENDL-4.0   ******************** 
        (1,451)   Updated.                                        
        (2,151)   Updated.                                        
        (3,1)     Re-calculated from partial cross sections.      
        (3,2)     Calculated from URP in lower energy range.      
        (3,4)     Re-calculated from partial cross sections.      
        (3,102)   Calculated from URP in lower energy range.      
      *********************************************************** 
                                                                  
                                                                  
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 10.575keV)
    Evaluation for JENDL-2 made by Kikuchi/3/ was adopted also for
    JENDL-3.  For the resonances below 1.9 keV, neutron widths    
    were determined from the data of Alves et al./4/ and Van de   
    Vyver and Pattenden/5/.  Above 3 keV, parameters were         
    evaluated on the basis of the data of Musgrove et al./6/  In  
    the energy range from 1.6 to 3 keV, artificial resonances were
    generated with stat/7/ by assuming d = 127 eV, S0 = 0.85e-4,  
    S1 = 0.8e-4 and the average radiation width of 0.120 eV/8/.  A
    negative resonance was added so as to reproduce the capture   
    cross section of 2.0+-1.6 barns at 0.0253 eV/8/.  Scattering  
    radius was determined from systematics.                       
    ************************************************************* 
      For JENDL-4.0, resolved resonance paramters were taken from 
      the work of Koehler et al./28/  A total spin J was          
      determined by a random number method.  A negative resonance 
      was added so as to reproduce the thermal capture cross      
      section recommended by Mughabghab./29/                      
    ************************************************************* 
                                                                  
  Unresolved resonance region : 10.575 keV - 100 keV              
    Unresolved resonance parameters were adopted from JENDL-2.    
    The neutron strength functions, S0, S1 and S2 were calculated 
    with optical model code CASTHY/9/.  The observed level spacing
    was determined to reproduce the capture cross section         
    calculated with CASTHY.  The effective scattering radius was  
    obtained from fitting to the calculated total cross section at
    100 keV.                                                      
                                                                  
  Typical values of the parameters at 70 keV:                     
    S0 = 0.600e-4, S1 = 0.900e-4, S2 = 0.550e-4, Sg = 7.72e-4,    
    Gg = 0.178 eV, R  = 5.193 fm.                                 
                                                                  
   ***************************************************************
      For JENDL-4.0, the unresolved resonance parameters were     
    re-evaluated by the ASREP /30/ code so as to reproduce the    
    total and capture cross sections given in JENDL3.3 in the     
    energy region from 10.575 keV to 200 keV. The parameters      
    should be used only for self-shielding calculations.          
   ***************************************************************
                                                                  
     Thermal cross sections & resonance integrals at 300 K        
      ----------------------------------------------------------  
                       0.0253 eV           res. integ. (*)        
                        (barns)              (barns)              
      ----------------------------------------------------------  
       Total          4.48242E+00                                 
       Elastic        2.98143E+00                                 
       n,gamma        1.50099E+00           2.22192E+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, by taking account of     
  competing reactions, of which cross sections were calculated    
  with PEGASUS/10/ 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 total cross   
  section by changing Ws and rso of Iijima-Kawai potential/11/.   
  The OMP's for charged particles are as follows:                 
     proton   = Perey/12/                                         
     alpha    = Huizenga and Igo/13/                              
     deuteron = Lohr and Haeberli/14/                             
     helium-3 and triton = Becchetti and Greenlees/15/            
  Parameters for the composite level density formula of Gilbert   
  and Cameron/16/ were evaluated by Iijima et al./17/  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
  /18/.                                                           
                                                                  
  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./19/.           
                                                                  
           no.      energy(MeV)    spin-parity    dwba cal.       
           gr.       0.0             0  +                         
            1        0.6047          2  +             *           
            2        1.1679          2  +                         
            3        1.4006          4  +                         
            4        1.6433          3  +                         
            5        1.7605          0  +                         
            6        1.9699          4  +                         
            7        2.0292          2  +                         
            8        2.0883          2  +                         
            9        2.1597          0  +                         
           10        2.2546          3  -             *           
           11        2.3368          0  +                         
           12        2.3791          0  +                         
           13        2.4886          0  +                         
      Levels above 2.54 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/20/.  Deformation parameters (beta2 = 0.1636 and 
    beta3 = 0.080) were based on the data compiled by Raman et    
    al./21/ and Spear/22/, 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/23/ and normalized to 1 milli-barn at 14 MeV.       
                                                                  
    The gamma-ray strength function (7.70e-04) was adjusted to    
    reproduce the capture cross section of 160 milli-barns at 70  
    keV measured by Musgrove et al./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 (= 159.2) 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)      1590.00  mb (systematics of Wen Den Lu+/26/)    
      (n,p)          7.84  mb (systematics of Forrest/27/)        
      (n,alpha)      3.43  mb (systematics of Forrest)            
                                                                  
  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  SYST A(1/MEV)  T(MEV)    C(1/MEV)  EX(MEV)   PAIRING    
 ---------------------------------------------------------------  
 54-XE-130     1.671E+01 6.600E-01 8.841E-01 7.427E+00 2.320E+00  
 54-XE-131     1.740E+01 6.000E-01 3.176E+00 5.394E+00 1.120E+00  
 54-XE-132     1.563E+01 6.500E-01 5.485E-01 6.600E+00 2.160E+00  
 54-XE-133     1.600E+01 6.250E-01 2.327E+00 5.284E+00 1.120E+00  
                                                                  
 55-CS-131  *  1.705E+01 5.750E-01 1.633E+00 4.913E+00 1.200E+00  
 55-CS-132  *  1.676E+01 5.726E-01 1.123E+01 3.569E+00 0.0        
 55-CS-133     1.750E+01 6.000E-01 3.784E+00 5.352E+00 1.040E+00  
 55-CS-134     1.598E+01 6.450E-01 1.710E+01 4.505E+00 0.0        
                                                                  
 56-BA-132     1.850E+01 6.360E-01 6.996E-01 8.187E+00 2.780E+00  
 56-BA-133     1.941E+01 5.930E-01 3.357E+00 6.465E+00 1.580E+00  
 56-BA-134     1.800E+01 6.100E-01 4.177E-01 7.309E+00 2.620E+00  
 56-BA-135     1.902E+01 5.820E-01 2.277E+00 6.108E+00 1.580E+00  
 ---------------------------------------------------------------  
  syst:  * = ldp's were determined from systematics.              
                                                                  
 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 3.509 for Ba-134 and 5.285 for Ba-135.             
                                                                  
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.: Proc. Int. Conf. on Nuclear Data for Science
    and Technology, Mito, p. 569 (1988).                          
 3) Kikuchi, Y. et al.: JAERI-M 86-030 (1986).                    
 4) Alves, R.N., et al. :Nucl. Phys. A134,118 (1969).             
 5) Van de Vyver, R.E. and Pattenden, N.J.: Nucl. Phys., A177,    
    393 (1971).                                                   
 6) Musgrove, A.R. de L., et al.: Nucl. Phys., A256, 173 (1976).  
 7) Kikuchi, Y.: JAERI-M 6248 (1975).                             
 8) Mughabghab, S.F. et al.: "Neutron Cross Sections, Vol. I,     
    Part A", Academic Press (1981).                               
 9) Igarasi, S.: J. Nucl. Sci. Technol., 12, 67 (1975).           
10) Iijima, S. et al.: JAERI-M 87-025, p. 337 (1987).             
11) Iijima, S. and Kawai, M.: J. Nucl. Sci. Technol., 20, 77      
    (1983).                                                       
12) Perey, F.G: Phys. Rev. 131, 745 (1963).                       
13) Huizenga, J.R. and Igo, G.: Nucl. Phys. 29, 462 (1962).       
14) Lohr, J.M. and Haeberli, W.: Nucl. Phys. A232, 381 (1974).    
15) 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).                                                       
16) Gilbert, A. and Cameron, A.G.W.: Can. J. Phys., 43, 1446      
    (1965).                                                       
17) Iijima, S., et al.: J. Nucl. Sci. Technol. 21, 10 (1984).     
18) Gruppelaar, H.: ECN-13 (1977).                                
19) Lederer, C.M., et al.: "Table of Isotopes, 7th Ed.", Wiley-   
    interscience Publication (1978).                              
20) Kunz, P.D.: private communication.                            
21) Raman, S., et al.: Atom. Data and Nucl. Data Tables 36, 1     
    (1987)                                                        
22) Spear, R.H.: Atom. Data and Nucl. Data Table, 42, 55 (1989).  
23) Benzi, V. and Reffo, G.: CCDN-NW/10 (1969).                   
24) Musgrove, A.R. de L., et al.: Proc. Int. Conf. on Neutron     
    Physics and Nucl. Data for Reactors, Harwell 1978, 449.       
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) Forrest, R.A.: AERE-R 12419 (1986).                           
28) Koehler, P.E. et al.: Phys. Rev., C54, 1463 (1996).           
29) Mughabghab, S.F.: "Atlas of Neutron Resonances", Elsevier     
    (2006).                                                       
30) Y.Kikuchi et al., JAERI-Data/Code 99-025 (1999)               
    [in Japanese].