54-Xe-136

 54-XE-136 JNDC       EVAL-MAR90 JNDC FP NUCLEAR DATA W.G.        
                      DIST-MAR02 REV2-FEB02            20020222   
----JENDL-3.3         MATERIAL 5461                               
-----INCIDENT NEUTRON DATA                                        
------ENDF-6 FORMAT                                               
                                                                  
   ===========================================================    
   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/.                       
                                                                  
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 490 KEV        
    RESONANCE PARAMETERS WERE NEWLY EVALUATED AS FOLLOWS :        
    RESONANCE ENERGIES OF THE 1ST LEVEL AND OF THE OTHER LEVELS   
    WERE BASED ON THE DATA MEASURED BY MACKLIN/3/ AND FOGELBERG ET
    AL./4/, RESPECTIVELY.  NEUTRON WIDTH OF THE 1ST LEVEL AT 2154 
    EV WAS DERIVED FROM THE NEUTRON CAPTURE AREA MEASURED AND THE 
    RADIATION WIDTH ASSUMED BY MACKLIN.  NEUTRON WIDTHS OF THE    
    REMAINING 35 LEVELS FROM 18.393 TO 480.750 KEV WERE TAKEN FROM
    THE DATA BY FOGELBERG ET AL.  AVERAGE RADIATION WIDTH OF 122.5
    MEV WAS ADOPTED FOR ALL THE RESONANCE LEVELS EXCEPT THE 1ST   
    AND 2ND LEVELS.  NEUTRON ORBITAL ANGULAR MOMENTUM L OF SOME   
    RESONANCES WAS ESTIMATED WITH A METHOD OF BOLLINGER AND THOMAS
    /5/.  TOTAL SPIN J OF SOME RESONANCES WAS TENTATIVELY         
    ESTIMATED WITH A RANDOM NUMBER METHOD.  SCATTERING RADIUS WAS 
    TAKEN FROM THE GRAPH (FIG. 1, PART A) BY MUGHABGHAB ET AL./6/ 
    A NEGATIVE RESONANCE WAS ADDED AT -822.03 EV, AND THE ABOVE   
    AVERAGE RADIATION WIDTH WAS DETERMINED SO AS TO REPRODUCE THE 
    THERMAL CAPTURE CROSS SECTION OF 260+-20 MEV GIVEN BY         
    MUGHABGHAB ET AL.                                             
                                                                  
  NO UNRESOLVED RESONANCE REGION                                  
                                                                  
  CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)   
                     2200 M/S               RES. INTEG.           
      TOTAL           6.348                    -                  
      ELASTIC         6.088                    -                  
      CAPTURE         0.2600                    0.142             
                                                                  
MF = 3  NEUTRON CROSS SECTIONS                                    
  BELOW 490 KEV, RESOLVED RESONANCE PARAMETERS WERE GIVEN.        
  ABOVE 490 KEV, THE SPHERICAL OPTICAL AND STATISTICAL MODEL      
  CALCULATION WAS PERFORMED WITH CASTHY/7/, BY TAKING ACCOUNT OF  
  COMPETING REACTIONS, OF WHICH CROSS SECTIONS WERE CALCULATED    
  WITH PEGASUS/8/ 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 R0 AND RSO OF IIJIMA-KAWAI POTENTIAL/9/.    
  THE OMP'S FOR CHARGED PARTICLES ARE AS FOLLOWS:                 
     PROTON   = PEREY/10/                                         
     ALPHA    = HUIZENGA AND IGO/11/                              
     DEUTERON = LOHR AND HAEBERLI/12/                             
     HELIUM-3 AND TRITON = BECCHETTI AND GREENLEES/13/            
  PARAMETERS FOR THE COMPOSITE LEVEL DENSITY FORMULA OF GILBERT   
  AND CAMERON/14/ WERE EVALUATED BY IIJIMA ET AL./15/  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
  /16/.                                                           
                                                                  
  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./17/            
                                                                  
           NO.      ENERGY(MEV)    SPIN-PARITY                    
           GR.       0.0             0  +                         
            1        1.3132          2  +                         
            2        1.6947          4  +                         
            3        1.8920          6  +                         
            4        1.9200          2  +                         
            5        2.1080          6  +                         
            6        2.2620          6  +                         
            7        2.2897          2  +                         
            8        2.4148          2  +                         
            9        2.4480          4  +                         
           10        2.5604          4  +                         
           11        2.6347          2  +                         
           12        2.8490          3  +                         
           13        2.8710          1  +                         
           14        2.9565          2  +                         
      LEVELS ABOVE 3.141 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/18/ AND NORMALIZED TO 1 MILLI-BARN AT 14 MEV.       
                                                                  
    THE GAMMA-RAY STRENGTH FUNCTION (7.48E-7) WAS ADJUSTED TO     
    REPRODUCE THE CAPTURE CROSS SECTION OF 0.8 MILLI-BARN AT 100  
    KEV.                                                          
                                                                  
  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 (= 307.3) WAS ESTIMATED BY THE       
    FORMULA DERIVED FROM KIKUCHI-KAWAI'S FORMALISM/19/ AND LEVEL  
    DENSITY PARAMETERS.                                           
                                                                  
    FINALLY, THE (N,2N) CROSS SECTION WAS NORMALIZED TO THE       
    FOLLOWING VALUE AT 14.5 MEV:                                  
      (N,2N)      1750.00  MB (RECOMMENDED BY BYCHKOV+/20/)       
                                                                  
  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  = 45.97-0.199E         R0 = 6.481    A0 = 0.62         
        WS = 6.502                RS = 6.926    AS = 0.35         
        VSO= 7.0                  RSO= 6.49     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    
 ---------------------------------------------------------------  
 52-TE-132     1.745E+01 4.920E-01 1.477E-01 4.373E+00 1.840E+00  
 52-TE-133  *  1.516E+01 5.701E-01 7.561E-01 4.112E+00 1.140E+00  
 52-TE-134  *  1.340E+01 5.677E-01 8.188E-02 4.291E+00 1.990E+00  
 52-TE-135  *  1.498E+01 5.653E-01 6.589E-01 3.980E+00 1.140E+00  
                                                                  
 53-I -133     1.559E+01 4.890E-01 7.662E-01 2.691E+00 7.000E-01  
 53-I -134     1.500E+01 5.600E-01 4.764E+00 2.769E+00 0.0        
 53-I -135     1.350E+01 5.500E-01 5.307E-01 2.961E+00 8.500E-01  
 53-I -136     1.450E+01 5.500E-01 3.589E+00 2.460E+00 0.0        
                                                                  
 54-XE-134     1.400E+01 6.300E-01 3.184E-01 5.224E+00 1.820E+00  
 54-XE-135     1.550E+01 5.565E-01 7.506E-01 4.010E+00 1.120E+00  
 54-XE-136     1.400E+01 6.500E-01 3.270E-01 5.679E+00 1.970E+00  
 54-XE-137     1.550E+01 5.565E-01 7.470E-01 4.010E+00 1.120E+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 8.553 FOR XE-136 AND 5.0 FOR XE-137.               
                                                                  
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) MACKLIN, R.L.: ORNL/TM-10766 (1988).                          
 4) FOGELBERG, B., HARVEY, J.A., MIZUMOTO, M., AND RAMAN, S.:     
                     PHYS. REV. C 31, 2041 (1985).                
 5) BOLLINGER, L.M. AND THOMAS, G.E.: PHYS. REV., 171,1293(1968). 
 6) MUGHABGHAB, S.F. ET AL.: "NEUTRON CROSS SECTIONS, VOL. I,     
    PART A", ACADEMIC PRESS (1981).                               
 7) IGARASI, S.: J. NUCL. SCI. TECHNOL., 12, 67 (1975).           
 8) IIJIMA, S. ET AL.: JAERI-M 87-025, P. 337 (1987).             
 9) IIJIMA, S. AND KAWAI, M.: J. NUCL. SCI. TECHNOL., 20, 77      
    (1983).                                                       
10) PEREY, F.G: PHYS. REV. 131, 745 (1963).                       
11) HUIZENGA, J.R. AND IGO, G.: NUCL. PHYS. 29, 462 (1962).       
12) LOHR, J.M. AND HAEBERLI, W.: NUCL. PHYS. A232, 381 (1974).    
13) 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).                                                       
14) GILBERT, A. AND CAMERON, A.G.W.: CAN. J. PHYS., 43, 1446      
    (1965).                                                       
15) IIJIMA, S., ET AL.: J. NUCL. SCI. TECHNOL. 21, 10 (1984).     
16) GRUPPELAAR, H.: ECN-13 (1977).                                
17) MATSUMOTO, J.: PRIVATE COMMUNICATION (1981).                  
18) BENZI, V. AND REFFO, G.: CCDN-NW/10 (1969).                   
19) KIKUCHI, K. AND KAWAI, M.: "NUCLEAR MATTER AND NUCLEAR        
    REACTIONS", NORTH HOLLAND (1968).                             
20) BYCHKOV, V.M. ET AL.: INDC(CCP)-146/LJ (1980).