59-Pr-141

 59-Pr-141 JNDC       EVAL-MAR90 JNDC FP NUCLEAR DATA W.G.        
                      DIST-MAY10                       20091214   
----JENDL-4.0         MATERIAL 5925                               
-----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                 
     ***********************************************************  
                                                                  
10-03 JENDL-4.0 was made.                                         
      Resoloved resonance parameters were evaluated by T.Nakagawa.
      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 13.226keV)
    Resonance parameters were taken from JENDL-2/3/ and slightly  
    modified.                                                     
      In the evaluation for JENDL-2, neutron widths were evaluated
    on the basis of Wynchank et al./4/, Morgenstern et al./5/ and 
    Taylor et al./6/ radiation widths were determined from capture
    areas measured by Taylor et al.  For the levels whose capture 
    aria was only the existing data, their neutron widths were    
    deduced by assuming the average radiation width of 0.084+-    
    0.024 eV.  Scattering radius of 4.9 fm was adopted from       
    Mughabghab et at./7/                                          
      For JENDL-3, parameters of a negative resonance were        
    modified so as to reproduce the capture cross section of      
    11.5+-0.3 barns at 0.0253 eV/7/ and the total cross section   
    measured by Zimmerman et al./8/ and Hickman/9/.  Total spin J 
    of some resonances was tentatively estimated with a random    
    number method.                                                
      For JENDL-3.2, these resonance parameters were modified so  
    as to reproduce the capture area data measured at ORNL, by    
    taking account of the correction factor of 1.0737 announced by
    Allen et al./10/.                                             
    **************************************************************
      For JENDL-4.0, total spin J of 1364- and 3928-eV levels were
    modified on the basis of Alfimenkov et al./30/ Average capture
    cross section of 11.47+-0.29 b at 0.0253 eV was obtained from 
    experimental data/8,31-35/. The parameters of -30-eV level    
    were modified to reproduce the average cross section and the  
    elastic scattering of 2.71+-0.06 b/36/.                       
    **************************************************************
                                                                  
  Unresolved resonance region : 13.226 keV - 100 keV              
    The neutron strength function S0 was based on the compilation 
    of Mughabghab et al., and S1 and S2 were calculated with      
    optical model code CASTHY/11/.  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.
    The radiation width Gg was based on the systematics of        
    measured values for neighboring nuclides.                     
                                                                  
  Typical values of the parameters at 70 keV:                     
    S0 = 1.500e-4, S1 = 1.200e-4, S2 = 1.500e-4, Sg = 6.06e-4,    
    Gg = 0.086 eV, R  = 5.181 fm.                                 
                                                                  
   ***************************************************************
      For JENDL-4.0, the unresolved resonance parameters were     
    re-evaluated by the ASREP /37/ code so as to reproduce the    
    total and capture cross sections given in JENDL3.3 in the     
    energy region from 13.226 keV to 160 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          1.42103E+01                                 
       Elastic        2.72998E+00                                 
       n,gamma        1.14803E+01           1.83683E+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/12/ standing on a preequilibrium and multi-step    
  evaporation model.  The OMP's for neutron given in Table 1 were 
  adopted from Moldauer/13/ since the parameters reproduced well  
  the total cross section measured by Foster and Glasgow/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       
  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
  /21/.                                                           
                                                                  
  mt = 1  Total                                                   
    Below 5 MeV, spherical optical model calculation was adopted. 
    Above 5 MeV, eye-guiding was made on the basis of the data    
    measured by Foster and Glasgow/14/.                           
                                                                  
  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                    
           gr.       0.0            5/2 +                         
            1        0.1454         7/2 +                         
            2        1.1180        11/2 -                         
            3        1.1270         3/2 +                         
            4        1.2927         5/2 +                         
            5        1.2986         1/2 +                         
            6        1.4350         3/2 +                         
            7        1.4502         7/2 +                         
            8        1.4561         5/2 -                         
      Levels above 1.48 MeV were assumed to be overlapping.       
                                                                  
  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 (6.38e-04) was adjusted to the
    capture cross section of 110 milli-barns at 30 keV measured by
    Musgrove et al./24/  The results were modified by multipling  
    with an energy dependent factor to reproduce well the experi- 
    mental data such as those measured by Zaikin et al./25/ and   
    Stupegia et al./26/                                           
                                                                  
                                                                  
  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 = 33  (n,n't) cross section                                  
  mt =103  (n,p) cross section                                    
  mt =104  (n,d) cross section                                    
  mt =105  (n,t) cross section                                    
  mt =106  (n,he3) 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 (= 314.1) was estimated by the       
    formula derived from Kikuchi-Kawai's formalism/27/ 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)          9.50  mb (recommended by Rorrest/28/)        
      (n,alpha)      3.00  mb (recommended by Rorrest)            
    The (n,2n) cross section was determined by eye-guiding of     
    the data measured by Bormann et al./29/.                      
                                                                  
    The (n,alpha) cross section below 13.225 keV was calculated   
    from resonance parameters, by assuming a mean alpha width of  
    1.15e-8 eV so as to reproduce the thermal cross section/7/.   
    The cross section was averaged in suitable energy intervals.  
    Above 13.225 keV, the cross section was connected smoothly to 
    the PEGASUS calculation.                                      
                                                                  
  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.  For other reactions, isotropic distri- 
  butions 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  = 46.0                 R0 = 6.638    A0 = 0.62         
        WS = 7.0                  RS = 6.638    AS = 1.0          
        VSO= 7.0                  RSO= 6.638    ASO= 0.62         
  THE FORM OF SURFACE ABSORPTION PART IS GAUSSIAN TYPE.           
                                                                  
TABLE 2  LEVEL DENSITY PARAMETERS                                 
                                                                  
 NUCLIDE  SYST A(1/MEV)  T(MEV)    C(1/MEV)  EX(MEV)   PAIRING    
 ---------------------------------------------------------------  
 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  
                                                                  
 59-PR-139  *  1.630E+01 5.556E-01 2.158E+00 3.843E+00 7.000E-01  
 59-PR-140     1.448E+01 6.430E-01 7.927E+00 3.814E+00 0.0        
 59-PR-141     1.400E+01 6.500E-01 1.810E+00 4.559E+00 8.500E-01  
 59-PR-142     1.595E+01 6.150E-01 1.201E+01 3.974E+00 0.0        
 ---------------------------------------------------------------  
  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 5.937 for Pr-141 and 5.267 for Pr-142.             
                                                                  
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).                    
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 6) Taylor, R.B., et al.: Aust. J. Phys., 32, 551 (1979).         
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    Part A", Academic Press (1981).                               
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 9) Hickman, G.D.: Bull. Am. Phys. Soc., 10, 12 (ad3) (1965).     
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13) Moldauer, P. A.: Nucl. Phys., 47, 65 (1963).                  
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    (1971).                                                       
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).    
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    (1971).                                                       
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    (1965).                                                       
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21) Gruppelaar, H.: ECN-13 (1977).                                
22) Matsumoto, J., et al.: JAERI-M 7734 (1978).                   
23) Benzi, V. and Reffo, G.: CCDN-NW/10 (1969).                   
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    Physics and Nucl. Data for Reactors, Harwell 1978", 449.      
25) Zaikin, G.G., et al.: Ukrainskij Fizichnij Zhurnal, 16, 1205  
    (1971).  Data were taken from EXFOR 40255.                    
26) Stupegia, D.C., et al.: J. Nucl. Energ., 22, 267 (1968).      
27) Kikuchi, K. and Kawai, M.: "Nuclear Matter and Nuclear        
    Reactions", North Holland (1968).                             
28) Forrest, R.A.: AERE-R 12419 (1986).                           
29) Bormann, M., et al.: Nucl. Phys., A115, 309 (1968).           
30) V.P.Alfimenkov, et al., JINR-P3-81-404,8107 (1981).           
31) J.D.Cummins: AERE-R/R-2333, p.57 (1957).                      
32) H.Pomerance: Phy. Rev., 83, 641 (1951).                       
33) E.Fehr, E.Hansen: KAPL-2000-12, (I), p.33 (1960).             
34) K.Knopf, W.Waschkowski: Z. Phys., A357, 297 (1997).           
35) J.Yoon et al.: J. Nucl. Sci. Technol., 40, 447 (2003)         
36) S.F.Mughabghab: "Atlas of Neutron Resonances," Elsevier       
    (2006).                                                       
37) Y.Kikuchi et al., JAERI-Data/Code 99-025 (1999)               
    [in Japanese].