23-V - 50

 23-V - 50 JAEA       EVAL-Mar10 N.Iwamoto                        
                      DIST-MAY10                       20100312   
----JENDL-4.0         MATERIAL 2325                               
-----INCIDENT NEUTRON DATA                                        
------ENDF-6 FORMAT                                               
                                                                  
History                                                           
10-03 The resolved resonance parameters were evaluated by         
      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 42.5 keV     
      Resolved resonance parameters were taken from Mughabghab    
      /1/. If the total spin J of resonance level was not         
      known, it was determined from the spin distribution of the  
      level density randomly. The negative resonance was placed   
      so as to reproduce the cross sections at thermal energy     
      recommended by Mughabghab /1/.                              
                                                                  
      Thermal cross sections and resonance integrals at 300 K     
      ----------------------------------------------------------  
                       0.0253 eV           res. integ. (*)        
                        (barn)               (barn)               
      ----------------------------------------------------------  
       Total           5.2385e+01                                 
       Elastic         7.6986e+00                                 
       n,gamma         4.4685e+01           5.9287e+01            
       n,p             7.1023e-04                                 
      ----------------------------------------------------------  
         (*) 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 /2/.                               
                                                                  
  MT= 16 (n,2n) cross section                                     
    Calculated with CCONE code /2/.                               
                                                                  
  MT= 22 (n,na) cross section                                     
    Calculated with CCONE code /2/.                               
                                                                  
  MT= 28 (n,np) cross section                                     
    Calculated with CCONE code /2/.                               
                                                                  
  MT= 32 (n,nd) cross section                                     
    Calculated with CCONE code /2/.                               
                                                                  
  MT= 41 (n,2np) cross section                                    
    Calculated with CCONE code /2/.                               
                                                                  
  MT= 51-91 (n,n') cross section                                  
    Calculated with CCONE code /2/.                               
                                                                  
  MT=102 Capture cross section                                    
    Calculated with CCONE code /2/.                               
                                                                  
  MT=103 (n,p) cross section                                      
    Calculated with CCONE code /2/.                               
    The cross section at thermal energy was evaluated so as to    
      reproduce the data measured by Wagemans et al./3/.          
                                                                  
  MT=104 (n,d) cross section                                      
    Calculated with CCONE code /2/.                               
                                                                  
  MT=105 (n,t) cross section                                      
    Calculated with CCONE code /2/.                               
                                                                  
  MT=106 (n,He3) cross section                                    
    Calculated with CCONE code /2/.                               
                                                                  
  MT=107 (n,a) cross section                                      
    Calculated with CCONE code /2/.                               
                                                                  
  MT=111 (n,2p) cross section                                     
    Calculated with CCONE code /2/.                               
                                                                  
  MT=112 (n,pa) cross section                                     
    Calculated with CCONE code /2/.                               
                                                                  
MF= 4 Angular distributions of emitted neutrons                   
  MT=  2 Elastic scattering                                       
    Calculated with CCONE code /2/.                               
                                                                  
MF= 6 Energy-angle distributions of emitted particles             
  MT= 16 (n,2n) reaction                                          
    Calculated with CCONE code /2/.                               
                                                                  
  MT= 22 (n,na) reaction                                          
    Calculated with CCONE code /2/.                               
                                                                  
  MT= 28 (n,np) reaction                                          
    Calculated with CCONE code /2/.                               
                                                                  
  MT= 32 (n,nd) reaction                                          
    Calculated with CCONE code /2/.                               
                                                                  
  MT= 41 (n,2np) reaction                                         
    Calculated with CCONE code /2/.                               
                                                                  
  MT= 51-91 (n,n') reaction                                       
    Calculated with CCONE code /2/.                               
                                                                  
  MT=102 Capture reaction                                         
    Calculated with CCONE code /2/.                               
                                                                  
                                                                  
                                                                  
***************************************************************** 
       Nuclear Model Calculation with CCONE code /2/              
***************************************************************** 
                                                                  
  Models and parameters used in the CCONE calculation             
  1) Optical model                                                
    * optical model potential                                     
      neutron  omp: Kunieda,S. et al./4/                          
      proton   omp: Koning,A.J. and Delaroche,J.P./5/             
      deuteron omp: Lohr,J.M. and Haeberli,W./6/                  
      triton   omp: Becchetti Jr.,F.D. and Greenlees,G.W./7/      
      He3      omp: Becchetti Jr.,F.D. and Greenlees,G.W./7/      
      alpha    omp: McFadden,L. and Satchler,G.R./8/              
                                                                  
  2) Two-component exciton model/9/                               
    * Global parametrization of Koning-Duijvestijn/10/            
      was used.                                                   
    * Gamma emission channel/11/ was added to simulate direct     
      and semi-direct capture reaction.                           
                                                                  
  3) Hauser-Feshbach statistical model                            
    * Width fluctuation correction/12/ 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/13/.           
      Parameters are shown in Table 2.                            
    * Gamma-ray strength function of standard Lorentzian form     
      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 V-50                                     
  -------------------                                             
  No.  Ex(MeV)  J  PI                                             
  -------------------                                             
   0  0.00000   6  +                                              
   1  0.22620   5  +                                              
   2  0.32016   4  +                                              
   3  0.35540   3  +                                              
   4  0.38840   2  +                                              
   5  0.83630   5  +                                              
   6  0.91000   7  +                                              
   7  0.91010   4  +                                              
   8  1.30140   2  +                                              
   9  1.33150   1  +                                              
  10  1.40190   3  +                                              
  11  1.49530   1  +                                              
  12  1.51840   2  +                                              
  13  1.56170   2  +                                              
  14  1.67720   3  +                                              
  15  1.70020   4  +                                              
  16  1.70310   5  -                                              
  17  1.71890   3  +                                              
  18  1.72460   8  +                                              
  19  1.72520   4  -                                              
  20  1.75150   3  +                                              
  21  1.76150   6  +                                              
  22  1.76230   3  +                                              
  23  1.81080   2  +                                              
  24  1.88240   5  +                                              
  25  1.93600   1  +                                              
  26  1.95400   1  +                                              
  27  2.03800   3  -                                              
  28  2.03801   3  +                                              
  29  2.11100   3  +                                              
  30  2.13300   3  +                                              
  31  2.16200   4  -                                              
  32  2.30800   2  +                                              
  33  2.31260   7  +                                              
  34  2.34400   3  +                                              
  35  2.39900   5  -                                              
  36  2.42400   3  -                                              
  37  2.42500   1  +                                              
  38  2.45500   4  +                                              
  39  2.47830   9  +                                              
  40  2.48300   5  +                                              
  -------------------                                             
                                                                  
Table 2. Level density parameters                                 
  --------------------------------------------------------        
  Nuclide      a*    Pair  Eshell       T      E0  Ematch         
            1/MeV     MeV     MeV     MeV     MeV     MeV         
  --------------------------------------------------------        
    V- 51  6.9100  1.6803 -0.6457  1.5183 -2.1580 12.5084         
    V- 50  7.0000  0.0000 -0.6353  1.4319 -3.1193  9.4496         
    V- 49  6.7530  1.7143  0.1225  1.5781 -3.1344 13.3216         
   Ti- 50  7.2500  3.3941 -0.4613  1.2919  1.1007 10.9863         
   Ti- 49  7.8800  1.7143  0.2445  1.1040 -0.1128  7.6316         
   Ti- 48  7.0700  3.4641  0.6643  1.4400 -0.8454 13.4405         
   Sc- 49  6.7530  1.7143 -0.4669  1.1948  0.6746  6.9625         
   Sc- 48  7.3300  0.0000  0.2130  1.1004 -1.3101  5.1281         
   Sc- 47  6.5239  1.7504  1.5602  1.4579 -2.4909 11.0454         
   Sc- 46  6.7339  0.0000  1.4596  1.2544 -2.5877  6.7871         
  --------------------------------------------------------        
                                                                  
Table 3. Gamma-ray strength function for  V- 51                   
  --------------------------------------------------------        
  * E1: ER = 19.11 (MeV) EG = 7.28 (MeV) SIG =  79.52 (mb)        
  * M1: ER = 11.06 (MeV) EG = 4.00 (MeV) SIG =   8.51 (mb)        
  * E2: ER = 16.99 (MeV) EG = 5.50 (MeV) SIG =   1.12 (mb)        
  --------------------------------------------------------        
                                                                  
References                                                        
 1) Mughabghab,S.F.: "Atlas of Neutron Resonances, Fifth          
    Edition: Resonance Parameters and Thermal Cross Sections.     
    Z=1-100", Elsevier Science (2006).                            
 2) Iwamoto,O.: J. Nucl. Sci. Technol., 44, 687 (2007).           
 3) Wagemans,C., Druyts,S., Geltenbort,P.: Phys. Rev. C50, 487    
    (1994).                                                       
 4) Kunieda,S. et al.: J. Nucl. Sci. Technol. 44, 838 (2007).     
 5) Koning,A.J. and Delaroche,J.P.: Nucl. Phys. A713, 231 (2003)  
    [Global potential].                                           
 6) Lohr,J.M. and Haeberli,W.: Nucl. Phys. A232, 381 (1974).      
 7) Becchetti Jr.,F.D. and Greenlees,G.W.: Ann. Rept.             
    J.H.Williams Lab., Univ. Minnesota (1969).                    
 8) McFadden,L. and Satchler,G.R.: Nucl. Phys. 84, 177 (1966).    
 9) Kalbach,C.: Phys. Rev. C33, 818 (1986).                       
10) Koning,A.J., Duijvestijn,M.C.: Nucl. Phys. A744, 15 (2004).   
11) Akkermans,J.M., Gruppelaar,H.: Phys. Lett. 157B, 95 (1985).   
12) Moldauer,P.A.: Nucl. Phys. A344, 185 (1980).                  
13) Mengoni,A. and Nakajima,Y.: J. Nucl. Sci. Technol., 31, 151   
    (1994).