55-Cs-135

 55-CS-135 JNDC       EVAL-MAR90 JNDC FP NUCLEAR DATA W.G.        
                      DIST-NOV90                                  
----JENDL-3.2         MATERIAL 5531                               
-----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 REGION (MLBW FORMULA) : BELOW 0.088 KEV      
    RESONANCE PARAMETERS OF JENDL-2 WERE MODIFIED AS FOLLOWS :    
    EVALUATION FOR JENDL-2 WAS PERFORMED ON THE BASIS OF THE DATA 
    (ONLY ONE POSITIVE LEVEL) MEASURED BY PRIESMEYER ET AL./3/    
    A NEGATIVE RESONANCE WAS ADDED AT -50 EV.  THE PARAMETERS WERE
    ADJUSTED SO AS TO REPRODUCE THE CAPTURE CROSS SECTION OF      
    8.7+-0.5 BARNS AT 0.0253 EV AND THE NEUTRON RESONANCE CAPTURE 
    INTEGRAL OF 62+-2 BARNS GIVEN BY MUGHABGHAB ET AL./4/ SINCE   
    THE VALUES OF TOTAL SPIN J FOR THE NEGATIVE AND POSITIVE FIRST
    LEVELS WERE UNKNOWN, THE TARGET SPIN OF 3.5 WAS ADOPTED AS THE
    TOTAL SPIN.                                                   
                                                                  
    FOR JENDL-3, THE J-VALUES OF THE BOTH LEVELS WERE TENTATIVELY 
    ESTIMATED WITH A RANDOM NUMBER METHOD.  NEUTRON WIDTHS FOR THE
    BOTH LEVELS WERE MODIFIED SO AS TO REPRODUCE THE THERMAL      
    CAPTURE CROSS SECTION AND THE NEUTRON RESONANCE CAPTURE       
    INTEGRAL MENTIONED ABOVE.  RADIATION WIDTHS AND SCATTERING    
    RADIUS WERE TAKEN FROM JENDL-2.                               
                                                                  
  UNRESOLVED RESONANCE REGION : 0.088 KEV - 100 KEV               
    THE NEUTRON STRENGTH FUNCTIONS, S0, S1 AND S2 WERE CALCULATED 
    WITH OPTICAL MODEL CODE CASTHY/5/.  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 = 1.400E-4, SG = 13.5E-4,    
    GG = 0.100 EV, R  = 5.293 FM.                                 
                                                                  
  CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)   
                     2200 M/S               RES. INTEG.           
      TOTAL          13.55                     -                  
      ELASTIC         4.850                    -                  
      CAPTURE         8.702                    62.5               
                                                                  
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/6/ STANDING ON A PREEQUILIBRIUM AND MULTI-STEP     
  EVAPORATION MODEL.  THE OMP'S FOR NEUTRON GIVEN IN TABLE 1 WERE 
  DETERMINED BY IGARASI ET AL./7/ TO REPRODUCE A SYSTEMATIC TREND 
  OF THE TOTAL CROSS SECTION.  THE OMP'S FOR CHARGED PARTICLES ARE
  AS FOLLOWS:                                                     
     PROTON   = PEREY/8/                                          
     ALPHA    = HUIZENGA AND IGO/9/                               
     DEUTERON = LOHR AND HAEBERLI/10/                             
     HELIUM-3 AND TRITON = BECCHETTI AND GREENLEES/11/            
  PARAMETERS FOR THE COMPOSITE LEVEL DENSITY FORMULA OF GILBERT   
  AND CAMERON/12/ WERE EVALUATED BY IIJIMA ET AL./13/  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
  /14/.                                                           
                                                                  
  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./15/            
                                                                  
           NO.      ENERGY(MEV)    SPIN-PARITY                    
           GR.       0.0            7/2 +                         
            1        0.2498         5/2 +                         
            2        0.4080         3/2 +                         
            3        0.6082         5/2 +                         
            4        0.7869         7/2 +                         
      LEVELS ABOVE 0.981 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/16/ AND NORMALIZED TO 1 MILLI-BARN AT 14 MEV.       
                                                                  
    THE GAMMA-RAY STRENGTH FUNCTION (1.38E-03) WAS DETERMINED FROM
    THE SYSTEMATICS OF RADIATION WIDTH (0.125 EV) AND THE AVERAGE 
    S-WAVE RESONANCE LEVEL SPACING (90.8 EV) CALCULATED FROM THE  
    LEVEL DENSITY PARAMETERS.                                     
                                                                  
  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 (= 408.0) WAS ESTIMATED BY THE       
    FORMULA DERIVED FROM KIKUCHI-KAWAI'S FORMALISM/17/ 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)          2.81  MB (SYSTEMATICS OF FORREST/18/)        
      (N,ALPHA)      1.41  MB (SYSTEMATICS OF FORREST)            
                                                                  
  MT = 251  MU-BAR                                                
    CALCULATED WITH CASTHY/5/.                                    
                                                                  
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  = 46.0-0.25E           R0 = 6.551    A0 = 0.62         
        WI = 0.125E-0.0004E**2    RI = 6.551    AI = 0.62         
        WS = 7.0                  RS = 7.051    AS = 0.35         
        VSO= 7.0                  RSO= 6.551    ASO= 0.62         
  THE FORM OF SURFACE ABSORPTION PART IS DER. WOODS-SAXON TYPE.   
                                                                  
TABLE 2  LEVEL DENSITY PARAMETERS                                 
                                                                  
 NUCLIDE       A(1/MEV)  T(MEV)    C(1/MEV)  EX(MEV)   PAIRING    
 ---------------------------------------------------------------  
 53-I -131     1.600E+01 6.330E-01 2.958E+00 5.342E+00 1.040E+00  
 53-I -132     1.550E+01 6.000E-01 8.595E+00 3.552E+00 0.0        
 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        
                                                                  
 54-XE-132     1.563E+01 6.500E-01 5.485E-01 6.600E+00 2.160E+00  
 54-XE-133     1.600E+01 6.250E-01 2.327E+00 5.284E+00 1.120E+00  
 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  
                                                                  
 55-CS-133     1.750E+01 6.000E-01 3.784E+00 5.352E+00 1.040E+00  
 55-CS-134     1.598E+01 6.450E-01 1.710E+01 4.505E+00 0.0        
 55-CS-135     1.343E+01 6.537E-01 1.831E+00 4.203E+00 7.000E-01  
 55-CS-136     1.400E+01 6.000E-01 4.424E+00 2.967E+00 0.0        
 ---------------------------------------------------------------  
                                                                  
 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 4.75 FOR CS-135 AND 5.0 FOR CS-136.                
                                                                  
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) PRIESMEYER, H.G., ET AL.: NEANDC(E)212U, VOL. V., 41 (1980).  
 4) MUGHABGHAB, S.F. ET AL.: "NEUTRON CROSS SECTIONS, VOL. I,     
    PART A", ACADEMIC PRESS (1981).                               
 5) IGARASI, S.: J. NUCL. SCI. TECHNOL., 12, 67 (1975).           
 6) IIJIMA, S. ET AL.: JAERI-M 87-025, P. 337 (1987).             
 7) IGARASI, S. ET AL.: JAERI-M 5752 (1974).                      
 8) PEREY, F.G: PHYS. REV. 131, 745 (1963).                       
 9) HUIZENGA, J.R. AND IGO, G.: NUCL. PHYS. 29, 462 (1962).       
10) LOHR, J.M. AND HAEBERLI, W.: NUCL. PHYS. A232, 381 (1974).    
11) 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).                                                       
12) GILBERT, A. AND CAMERON, A.G.W.: CAN. J. PHYS., 43, 1446      
    (1965).                                                       
13) IIJIMA, S., ET AL.: J. NUCL. SCI. TECHNOL. 21, 10 (1984).     
14) GRUPPELAAR, H.: ECN-13 (1977).                                
15) LEDERER, C.M., ET AL.: "TABLE OF ISOTOPES, 7TH ED.", WILEY-   
    INTERSCIENCE PUBLICATION (1978).                              
16) BENZI, V. AND REFFO, G.: CCDN-NW/10 (1969).                   
17) KIKUCHI, K. AND KAWAI, M.: "NUCLEAR MATTER AND NUCLEAR        
    REACTIONS", NORTH HOLLAND (1968).                             
18) FORREST, R.A.: AERE-R 12419 (1986).