65-Tb-159

 65-TB-159 JNDC       EVAL-MAR90 JNDC FP NUCLEAR DATA W.G.        
                      DIST-NOV90                                  
----JENDL-3.2         MATERIAL 6525                               
-----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/.                       
                                                                  
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 1.188KEV) 
    RESONANCE PARAMETERS WERE BASED ON JENDL-2 AND TOTAL SPIN J   
    OF J-UNKNOWN RESONANCES WAS ESTIMATED WITH A RANDOM NUMBER    
    METHOD.                                                       
       IN THE JENDL-2 EVALUATION, RESONANCE PARAMETERS WERE MAINLY
    TAKEN FROM THE EXPERIMENTAL DATA BY OHKUBO AND KAWARASAKI/3/  
    AND BY DERRIEN AND ALIX/4/.  THE AVERAGE RADIATION WIDTH WAS  
    ASSUMED TO BE 0.097 EV.  A NEGATIVE RESONANCE WAS ADDED AT    
    -0.1 EV SO AS TO REPRODUCE THE CAPTURE CROSS SECTION OF 25.5  
    +-1.1 BARNS AND THE ELASTIC SCATTERING OF 20+-2 BARNS AT      
    0.0253 EV/5/.  SCATTERING RADIUS OF 8.3 FM WAS TAKEN FROM THE 
    RECOMMENDATION BY MUGHABGHAB AND GARBER/5/.                   
                                                                  
  UNRESOLVED RESONANCE REGION : 1.188 KEV - 100 KEV               
    THE NEUTRON STRENGTH FUNCTIONS, S0, S1 AND S2, WERE BASED ON  
    THE COMPILATION OF MUGHABGHAB/6/.  THE PARAMETERS WERE        
    ADJUSTED TO REPRODUCE THE CAPTURE CROSS SECTION MEASURED BY   
    MIZUMOTO ET AL./7,8/  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 COMPILATION 
    OF MUGHABGHAB.                                                
                                                                  
  TYPICAL VALUES OF THE PARAMETERS AT 80 KEV:                     
    S0 = 1.207E-4, S1 = 1.480E-4, S2 = 1.090E-4, SG = 537.E-4,    
    GG = 0.097 EV, R  = 7.058 FM.                                 
                                                                  
  CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)   
                     2200 M/S               RES. INTEG.           
      TOTAL          47.39                     -                  
      ELASTIC        20.87                     -                  
      CAPTURE        26.52                    471                 
                                                                  
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/9/, 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 THE TB-159 TOTAL CROSS SECTION MEASURED 
  BY FOSTER AND GLASGOW/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                    
           GR.       0.0            3/2 +                         
            1        0.0580         5/2 +                         
            2        0.1375         7/2 +                         
            3        0.2414         9/2 +                         
            4        0.3479         5/2 +                         
            5        0.3626        11/2 +                         
            6        0.3637         5/2 -                         
            7        0.3895         7/2 -                         
            8        0.4290         7/2 +                         
            9        0.4552         9/2 -                         
           10        0.5106        13/2 +                         
           11        0.5340         9/2 +                         
           12        0.5457        11/2 -                         
           13        0.5483         7/2 -                         
           14        0.5809         1/2 +                         
           15        0.6177         3/2 +                         
           16        0.6690        15/2 +                         
           17        0.6743         5/2 +                         
           18        0.6787         9/2 -                         
           19        0.7613         7/2 +                         
           20        0.7780         7/2 +                         
           21        0.8230        11/2 -                         
           22        0.8550         3/2 -                         
      LEVELS ABOVE 0.86 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/20/ AND NORMALIZED TO 1 MILLI-BARN AT 14 MEV.       
                                                                  
    THE GAMMA-RAY STRENGTH FUNCTION (3.65E-02) WAS ADJUSTED TO    
    REPRODUCE THE CAPTURE CROSS SECTION OF 1050 MILLI-BARNS AT 70 
    KEV MEASURED BY MIZUMOTO ET AL./7,8/  THE RESULTS WERE        
    MODIFIED BY TAKING ACCOUNT OF THE DATA MEASURED BY BLOCK ET   
    AL./21/, GIBBONS ET AL./22/ AND POENITZ/23/.                  
                                                                  
  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 =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 (= 177.9) WAS ESTIMATED BY THE       
    FORMULA DERIVED FROM KIKUCHI-KAWAI'S FORMALISM/24/ 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)      1860.00  MB (SYSTEMATICS OF WEN DEN LU+/25/)    
      (N,P)          4.70  MB (RECOMMENDED BY FORREST/26/)        
      (N,ALPHA)      2.50  MB (RECOMMENDED BY 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.  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  = 40.7-0.016E          R0 = 7.173    A0 = 0.47         
        WS = 11.3                 RS = 7.249    AS = 0.47         
        VSO= 7.0                  RSO= 7.173    ASO= 0.47         
  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    
 ---------------------------------------------------------------  
 63-EU-155     2.083E+01 5.200E-01 5.190E+00 4.837E+00 9.200E-01  
 63-EU-156     2.084E+01 4.030E-01 6.286E+00 1.992E+00 0.0        
 63-EU-157     1.975E+01 5.400E-01 6.628E+00 4.704E+00 7.300E-01  
 63-EU-158  *  2.207E+01 5.096E-01 4.288E+01 4.059E+00 0.0        
                                                                  
 64-GD-156     2.254E+01 5.200E-01 1.630E+00 6.286E+00 1.890E+00  
 64-GD-157     2.278E+01 5.210E-01 1.077E+01 5.454E+00 9.700E-01  
 64-GD-158     2.155E+01 5.420E-01 2.479E+00 6.260E+00 1.700E+00  
 64-GD-159     2.308E+01 5.160E-01 1.099E+01 5.433E+00 9.700E-01  
                                                                  
 65-TB-157  *  2.439E+01 5.121E-01 1.937E+01 5.654E+00 9.200E-01  
 65-TB-158  *  2.372E+01 5.096E-01 8.443E+01 4.501E+00 0.0        
 65-TB-159     2.150E+01 5.150E-01 8.937E+00 4.738E+00 7.300E-01  
 65-TB-160     2.172E+01 4.850E-01 2.558E+01 3.503E+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 10.5 FOR TB-159 AND 5.0 FOR TB-160.                
                                                                  
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) OHKUBO, M. AND KAWARASAKI, Y.: JAERI-M 7545 (1978).           
 4) DERRIEN, H. AND ALIX, M.: CEA-N-1867 (1975).                  
 5) MUGHABGHAB, S.F. AND  GARBER, D.I.: "NEUTRON CROSS SECTIONS,  
    VOL. 1, RESONANCE PARAMETERS", BNL 325, 3RD ED., VOL. 1,      
    (1973).                                                       
 6) MUGHABGHAB, S.F.: "NEUTRON CROSS SECTIONS, VOL. I, PART B",   
    ACADEMIC PRESS (1984).                                        
 7) MIZUMOTO, M., MACKLIN, R.L. AND HALPERIN, J.:  PHYS. REV.,    
    C17, 522 (1978).                                              
 8) MACKLIN, R.L. WINTERS, R.R.: NUCL.SCI. ENG., 78, 110(1981).   
 9) IGARASI, S.: J. NUCL. SCI. TECHNOL., 12, 67 (1975).           
10) IIJIMA, S. ET AL.: JAERI-M 87-025, P. 337 (1987).             
11) FOSTER, D.G. JR. AND GLASGOW, D.W.: PHYS. REV., C3, 576       
    (1971).                                                       
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) BENZI, V. AND REFFO, G.: CCDN-NW/10 (1969).                   
21) BLOCK, R.C., ET AL.: PROC. EANDC CONF. ON TIME OF FLIGHT      
    METHOD, SACLAY, P.203 (1961).                                 
22) GIBBONS, J.H., ET AL.: PHYS. REV., 122, 182 (1961).           
23) POENITZ, W.P.: ANL-83-4, 239 (1982).                          
24) KIKUCHI, K. AND KAWAI, M.: "NUCLEAR MATTER AND NUCLEAR        
    REACTIONS", NORTH HOLLAND (1968).                             
25) WEN DEN LU AND FINK, R.W.: PHYS. REV., C4, 1173 (1971).       
26) FORREST, R.A.: AERE-R 12419 (1986).