58-Ce-140

 58-Ce-140 JNDC,JAERI EVAL-Mar90 JNDC FP ND W.G.,T.Nakagawa       
                      DIST-MAR02 Rev3-Feb02            20020208   
----JENDL-3.3         MATERIAL 5837                               
-----INCIDENT NEUTRON DATA                                        
------ENDF-6 FORMAT                                               
                                                                  
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.[3]                     
        *****   Modified parts for JENDL-3.2                      
        (2,151)       Resolved resonance parameters               
02-02 Modification was made by T.Nakagawa                         
                                                                  
      ***** Modified parts ************************************** 
      (2,151) RRP                                                 
      (3,1),(3,2),(3,4),(3,16),(3,51-91),(3,102)                  
      All of MF04 and MF05                                        
      *********************************************************** 
                                                                  
                                                                  
MF = 1  General information                                       
  MT=451 Comments and dictionary                                  
                                                                  
MF = 2  Resonance parameters                                      
  MT=151 Resolved and unresolved resonance parameters             
  Resolved resonance region (MLBW formula) : below 200 keV        
      For JENDL-2, the resonance parameters were evaluated by     
    Kikuchi[4]. Neutron widths were obtained from data measured   
    by Hacken et al.[5] and Camarda [6], and radiation            
    widths from capture areas by Musgrove et al.[7] For the       
    resonances only whose capture area was measured, the neutron  
    width was deduced by assuming the average radiation width of  
    0.034+-0.029 eV for s-wave resonances and 0.029+-0.008 eV for 
    p-wave ones.  A negative resonance was added so as to         
    reproduce the capture cross section of 0.57+-0.04 barn and    
    the elastic scattering cross section of 2.83+-0.11 barns at   
    0.0253 eV[8].                                                 
      For JENDL-3.2, neutron widths of 14 resonances were replaced
    with experimental data obtained by Ohkubo[9] in the energy    
    range from 2.5437 keV to 55.113 keV.  Parameters of the       
    negative resonance were re-adjusted to the above thermal cross
    sections [8].                                                 
      For JENDL-3.3, neutron widths of 2.5- to 55- keV levels were
    modified on the basis of Ohkubo et al. [10]. Capture widths   
    of all levels were multiplied by a factor of 1.4 so as to be  
    consistent with a new capture cross section measurement[11].  
    A negative level was modified and 1/v corresction was aplied  
    to the capture cross section.                                 
                                                                  
  No unresolved resonance parameters are given.                   
                                                                  
  Calculated 2200-m/s cross sections and res. integrals (barns)   
                     2200 m/s               res. integ.           
      total           3.453                     -                 
      elastic         2.883                     -                 
      capture         0.570                   0.344               
                                                                  
MF = 3  Neutron cross sections                                    
  Below 200 keV, resonance parameters were given.                 
  Above 200 keV, the spherical optical and statistical model      
  calculation was performed with CASTHY[12], by taking account of 
  competing reactions, of which cross sections were calculated    
  with PEGASUS[13] standing on a preequilibrium and multi-step    
  evaporation model.  The OMP's for neutron given in Table 1 were 
  determined so as to reproduce the total cross section measured  
  by Camarda et al.[14]  The OMP's for charged particles are as   
  follows:                                                        
     Proton   = Perey[15]                                         
     Alpha    = Huizenga and Igo[16]                              
     Deuteron = Lohr and Haeberli[17]                             
     Helium-3 and triton = Becchetti and Greenlees[18]            
                                                                  
  Parameters for the composite level density formula of Gilbert   
  and Cameron[19] were evaluated by Iijima et al.[20]  More       
  extensive determination and modification were made in the       
  previous work [2].  Table 2 shows the level density parameters  
  used in the calculation.  Energy dependence of spin cut-off     
  parameter in the energy range below E-joint is due to Gruppelaar
  [21].                                                           
                                                                  
  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.[22].           
                                                                  
           No.      Energy(MeV)    Spin-parity    DWBA cal.       
           GR.       0.0             0  +                         
            1        1.5962          2  +             *           
            2        1.9033          0  +                         
            3        2.0833          4  +                         
            4        2.1079          6  +                         
            5        2.3479          2  +                         
            6        2.3498          5  +                         
            7        2.4120          3  +                         
            8        2.4641          3  -             *           
            9        2.4809          4  +                         
           10        2.5158          4  +                         
           11        2.5214          2  +                         
           12        2.5472          1  +                         
           13        2.6289          6  +                         
           14        2.8997          2  +                         
           15        3.0011          2  +                         
           16        3.0168          0  +                         
           17        3.040           3  -                         
           18        3.1186          2  +                         
           19        3.226           0  +                         
           20        3.2558          5  -                         
           21        3.3204          2  +                         
           22        3.331           4  +                         
           23        3.3947          4  -                         
           24        3.3951          4  +                         
                                                                  
      Levels above 3.4246 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[23].  Deformation parameters (beta2 = 0.1012 and 
    beta3 = 0.127) were based on the data compiled by Raman et    
    al.[24] and Spear[25], 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 formula of Benzi     
    and Reffo[26] and normalized to the capture cross section     
    mesured by Bergqvist et al.[27]                               
                                                                  
    The gamma-ray strength function (5.73E-06) was adjusted to    
    reproduce the capture cross section of about 4.7 mb at 500 keV
    measured by Harnood et al.[11]                                
                                                                  
  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 = 32  (n,n'd) 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[13].                                                  
                                                                  
    The Kalbach's constant K (= 247.8) was estimated by the       
    formula derived from Kikuchi-Kawai's formalism[28] and level  
    density parameters.                                           
                                                                  
    Finally, the (n,p) and (n,alpha) cross sections were          
    normalized to the following values at 14.5 MeV:               
      (n,p)          7.50  mb (measured by Teng Dan+[29])         
      (n,alpha)      4.60  mb (recommended by Forrest[30])        
                                                                  
                                                                  
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 from overlapping levels and for
  other neutron emitting reactions.                               
                                                                  
  Interpolation of 22 (unit base interpolation) was adopted.      
                                                                  
                                                                  
Table 1  Neutron Optical Potential Parameters                     
                                                                  
                Depth (MeV)       Radius(fm)    Diffuseness(fm)   
         ----------------------   ------------  ---------------   
        V  = 45.36-0.342*En       r0 = 1.307    a0 = 0.62         
        Ws = 9.763+0.4167*En      rs = 1.280    as = 0.35         
        Vso= 7.0                  rso= 1.307    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    
 ---------------------------------------------------------------  
 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  
                                                                  
 57-La-137     1.558E+01 6.210E-01 3.521E+00 4.624E+00 7.000E-01  
 57-La-138     1.450E+01 6.310E-01 7.202E+00 3.634E+00 0.0        
 57-La-139     1.380E+01 6.500E-01 1.653E+00 4.468E+00 8.500E-01  
 57-La-140     1.558E+01 5.900E-01 7.912E+00 3.425E+00 0.0        
                                                                  
 58-Ce-138  *  1.618E+01 5.580E-01 2.611E-01 5.011E+00 1.870E+00  
 58-Ce-139     1.374E+01 6.450E-01 9.282E-01 4.685E+00 1.170E+00  
 58-Ce-140     1.413E+01 6.541E-01 3.376E-01 5.852E+00 2.020E+00  
 58-Ce-141     1.714E+01 5.150E-01 7.134E-01 3.957E+00 1.170E+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 6.125 for Ce-140 and 9.569 for Ce-141.             
                                                                  
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) Kawai M., et al.: J. Nucl. Sci. Technol., 38, 261 (2001).     
 4) Kikuchi Y. et al.: JAERI-M 86-030 (1986).                     
 5) Hacken G., et al.: USNDC-11, 79 (1974).                       
 6) Camarda H.S.: Phys. Rev., C18, 1254 (1978).                   
 7) Musgrove A.R. de L., et al.: Aust. J. Phys., 32, 213 (1979).  
 8) Mughabghab S.F. et al.: "Neutron Cross Sections, Vol. I,      
    Part A", Academic Press (1981).                               
 9) Ohkubo M. et al.: Proc. Int. Conf. on Nuclear Data for Basic  
    and Applied Science, Santa-Fe., Vol.2, p.1623 (1985).         
10) Ohkubu M., et al.: JAERI-M 93-012 (1993).                     
11) Harnood S., et al.: J. Nucl. Sci. Technol., 37, 740 (2000).   
12) Igarasi S. and Fukahori T.: JAERI 1321 (1991).                
13) Iijima S. et al.: JAERI-M 87-025, p. 337 (1987).              
14) Camarda H.S., et al.: Phys. Rev., C29, 2106 (1984).           
15) Perey F.G: Phys. Rev. 131, 745 (1963).                        
16) Huizenga J.R. and Igo G.: Nucl. Phys. 29, 462 (1962).         
17) Lohr J.M. and Haeberli W.: Nucl. Phys. A232, 381 (1974).      
18) 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).                                                       
19) Gilbert A. and Cameron A.G.W.: Can. J. Phys., 43, 1446        
    (1965).                                                       
20) Iijima S., et al.: J. Nucl. Sci. Technol. 21, 10 (1984).      
21) Gruppelaar H.: ECN-13 (1977).                                 
22) Firestone R.B.: "Table of Isotopes, 8th Ed.", Wiley-          
    Interscience Publication (1998).                              
23) Kunz P.D.: private communication.                             
24) Raman S., et al.: Atom. Data and Nucl. Data Tables 36, 1      
    (1987)                                                        
25) Spear R.H.: Atom. Data and Nucl. Data Table, 42, 55 (1989).   
26) Benzi V. and Reffo G.: CCDN-NW/10 (1969).                     
27) Bergqvist I., et al.: Nucl. Phys., A295, 256 (1978).          
28) Kikuchi K. and Kawai M.: "Nuclear Matter and Nuclear          
    Reactions", North Holland (1968).                             
29) Teng Dan et al.: Chinese J. of Nucl. Phys., 7, 307 (1985).    
30) Forrest R.A.: AERE-R 12419 (1986).