42-Mo- 92

 42-MO- 92 JNDC       EVAL-AUG89 JNDC FP NUCLEAR DATA W.G.        
                      DIST-OCT89 REV2-OCT93                       
----JENDL-3.2         MATERIAL 4225                               
-----INCIDENT NEUTRON DATA                                        
------ENDF-6 FORMAT                                               
HISTORY                                                           
84-10 EVALUATION FOR JENDL-2 WAS MADE BY JNDC FPND W.G./1/        
89-08 MODIFICATION FOR JENDL-3 WAS MADE/2/.                       
90-10 MF=5: SPECTRA AT THRESHOLD ENERGIES WERE MODIFIED.          
93-10 JENDL-3.2.                                                  
      COMPILED BY T.NAKAGAWA (NDC/JAERI)                          
                                                                  
     *****   MODIFIED PARTS FOR JENDL-3.2   ********************  
      (3,2), (3,4), (3,51-91), (3,16), (3,22), (3,28)             
      (4,16-91)                                                   
      (5,16-91)                                                   
            THESE DATA WERE ADOPTED FROM JENDL FUSION FILE        
     ***********************************************************  
                                                                  
     -------------------------------------------------------------
      JENDL FUSION FILE /3/  (AS OF OCT. 1993)                    
        EVALUATED BY K.KOSAKO(NEDAC) AND S.CHIBA (NDC/JAERI)      
        COMPILED BY K.KOSAKO                                      
                                                                  
          THE INELASTIC SCATTERING, (N,2N), (N,NP), (N,NA) CROSS  
        SECTIONS WERE CALCULATED WITH SINCROS-II SYSTEM/4/.  THE  
        OTHER CROSS SECTIONS WERE TAKEN FROM JENDL-3.1.  MF=6 OF  
        MT=16, 22, 28 AND 91 WERE CREATED WITH F15TOB PROGRAM /3/ 
        IN WHICH KUMABE'S SYSTEMATICS /5/ WAS USED.  THE PRECOM-  
        POUND/COMPOUND RATIO WAS CALCULATED BY THE SINCROS-II     
        CODE SYSTEM/4/.                                           
          OPTICAL-MODEL, LEVEL DENSITY AND OTHER PARAMETERS USED  
        IN THE SINCROS-II CALCULATION ARE DESCRIBED IN REF./4/.   
        LEVEL SCHEMES WERE DETERMINED ON THE BASIS OF ENSDF/6/.   
     -------------------------------------------------------------
                                                                  
                                                                  
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 50 KEV         
    RESONANCE PARAMETERS WERE EVALUATED BY KIKUCHI ET AL./7/ ON   
    THE BASIS OF THE FOLLOWING EXPERIMENTS.                       
        TRANSMISSION : WASSON ET AL./8/                           
        CAPTURE      : WASSON ET AL./8/, WEIGMANN ET AL./9/,      
                       MUSGROVE ET AL./10/                        
    AVERAGE RADIATIVE WIDTHS OF 0.02 EV FOR S-WAVE RES. AND 0.425 
    EV FOR P-WAVE RES WERE ADOPTED.  SCATTERING RADIUS WAS TAKEN  
    FROM MUGHABGHAB ET AL./11/                                    
  UNRESOLVED RESONANCE REGION : 50 KEV - 100 KEV                  
    THE NEUTRON STRENGTH FUNCTIONS, S0, S1 AND S2 WERE CALCULATED 
    WITH OPTICAL MODEL CODE CASTHY/12/.  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.                                           
                                                                  
  TYPICAL VALUES OF THE PARAMETERS AT 70 KEV:                     
    S0 = 0.369E-4, S1 = 5.479E-4, S2 = 0.364 E-4, GG = 0.226 EV   
    DO = 2252  EV, R  = 6.746 FM.                                 
                                                                  
  CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS)   
                     2200 M/S               RES. INTEG.           
      TOTAL           5.566                    -                  
      ELASTIC         5.545                    -                  
      CAPTURE         0.02075                  0.968              
                                                                  
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/12/, BY TAKING ACCOUNT OF COMPETING       
  REACTIONS, OF WHICH CROSS SECTIONS WERE CALCULATED WITH         
  PEGASUS/13/ STANDING ON A PREEQUILIBRIUM AND MULTI-STEP         
  EVAPORATION MODEL.  THE OMP'S FOR NEUTRON GIVEN IN TABLE 1 WERE 
  DETERMINED BY IIJIMA ET AL./14/ TO REPRODUCE A SYSTEMATIC TREND 
  OF THE TOTAL CROSS SECTION.  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 GIRBERT   
  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.  THE ENERGY DEPENDENCE OF SPIN      
  CUT-OFF PARAMETER IN THE ENERGY RANGE BELOW E-JOINT (EX) IS DUE 
  TO GRUPPELAAR/21/.                                              
                                                                  
     FOR JENDL-3.2, DATA OF NEUTRON EMITTING REACTIONS WERE       
  ADOPTED FROM JENDL FUSION FILE.  THE CALCULATION WAS MADE WITH  
  SINCROS-II SYSTEM/4/ BY ADOPTIG WALTER-GUSS OMP MODIFIED BY     
  YAMAMURO/4/ FOR NEUTRONS, LEMOS OMP MODIFIED BY ARTHUR AND      
  YOUNG/22/ FOR ALPHA, THE SAME OMP'S AS THE PEGASUS CALCULATION  
  FOR OTHER CHARGED PARTICLES AND STANDARD LEVEL DENSITY          
  PARAMETERS OF SINCROS-II SYSTEM.                                
                                                                  
  MT = 1  TOTAL                                                   
    SPHERICAL OPTICAL MODEL CALCULATION WITH CASTHY WAS ADOPTED.  
                                                                  
  MT = 2  ELASTIC SCATTERING                                      
    CALCULATED AS (TOTAL - SUM OF PARTIAL CROSS SECTIONS).        
                                                                  
  MT = 4, 51 - 91  INELASTIC SCATTERING                           
    TAKEN FROM JENDL FUSION FILE.  THE LEVEL SCHEME WAS TAKEN FROM
    REF./6/  CNTRIBUTIONS OF THE DIRECT PROCESS WAS CALCULATED    
    FOR THE LEVELS MARKED WITH '*'.                               
                                                                  
           NO.      ENERGY(MEV)    SPIN-PARITY                    
           GR.       0.0             0  +                         
            1        1.5095          2  +        *                
            2        2.2826          4  +                         
            3        2.5197          0  +                         
            4        2.5271          5  -                         
            5        2.6124          6  +                         
            6        2.7604          8  +                         
            7        2.8497          3  -        *                
            8        3.0070          5  -                         
            9        3.0641          4  -                         
           10        3.0913          2  +        *                
           11        3.3691          4  +                         
           12        3.5420          2  +                         
           13        3.5803          3  -                         
           14        3.6212          4  +                         
           15        3.6248          7  -                         
           16        3.6880          4  +        *                
      LEVELS ABOVE 3.688 MEV WERE ASSUMED TO BE OVERLAPPING.      
                                                                  
  MT = 16, 22, 28 (N,2N), (N,NA) AND (N,NP) CROSS SECTIONS        
    ADOPTED FROM JENDL FUSION FILE.                               
                                                                  
  MT = 102  CAPTURE                                               
    SPHERICAL OPTICAL AND STATISTICAL MODEL CALCULATION WITH      
    CASTHY/12/ 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 (9.406E-05) WAS ADJUSTED TO   
    REPRODUCE THE EXPERIMENTAL CAPTURE CROSS SECTION MEASURED BY  
    MUSGROVE ET AL./9/.                                           
                                                                  
  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                                
  MT =111  (N,2P) CROSS SECTION                                   
    THESE REACTION CROSS SECTIONS WERE CALCULATED WITH THE        
    PREEQUILIBRIUM AND MULTI-STEP EVAPORATION MODEL CODE          
    PEGASUS/13/.                                                  
                                                                  
    THE KALBACH'S CONSTANT K (= 251.4 ) WAS ESTIMATED BY THE      
    FORMULA DERIVED FROM KIKUCHI-KAWAI'S FORMALISM/24/ AND LEVEL  
    DENSITY PARAMETERS.                                           
                                                                  
    FINALLY, (N,P) AND (N,ALPHA) CROSS SECTIONS WERE NORMALIZED TO
    THE FOLLOWING VALUES AT 14.5 MEV:                             
      (N,P)        116  MB (SYSTEMATICS OF  FORREST/25/)          
      (N,ALPHA)     24  MB (MEASURED BY IKEDA ET AL./26/)         
                                                                  
  MT = 251  MU-BAR                                                
    CALCULATED WITH CASTHY/12/.                                   
                                                                  
MF = 4  ANGULAR DISTRIBUTIONS OF SECONDARY NEUTRONS               
  MT = 2                                                          
    CALCULATED WITH CASTHY/12/.                                   
  MT = 51-66                                                      
    TAKEN FROM JENDL FUSION FILE DATA WHICH WAS CALCULATED WITH   
    CASTHY AND DWUCK/27/ IN THE SINCROS-II SYSTEM.                
  MT = 16,22,28,91                                                
    TRANSFORMED FROM MF=6 DATA (DDX) OF JENDL FUSION FILE.        
                                                                  
MF = 5  ENERGY DISTRIBUTIONS OF SECONDARY NEUTRONS                
  MT = 16,22,28,91                                                
    TRANSFORMED FROM MF=6 DATA (DDX) OF JENDL FUSION FILE.        
                                                                  
================================================================= 
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================================================================= 
                                                                  
TABLE 1  NEUTRON OPTICAL POTENTIAL PARAMETERS                     
                                                                  
                DEPTH (MEV)       RADIUS(FM)    DIFFUSENESS(FM)   
         ----------------------   ------------  ---------------   
        V  = 46.0-0.25E           R0 = 5.893    A0 = 0.62         
        WS = 7.0                  RS = 6.393    AS = 0.35         
        WSO= 7.0                  RSO= 5.893    ASO= 0.62         
                                                                  
TABLE 2  LEVEL DENSITY PARAMETERS                                 
                                                                  
 NUCL.    SYST A(/MEV)   T(MEV)    C(/MEV)   EX(MEV)   PAIRING    
 ---------------------------------------------------------------  
 40-ZR- 88  *  1.404E+01 7.386E-01 4.932E-01 7.870E+00 2.660E+00  
 40-ZR- 89     1.095E+01 8.260E-01 1.379E+00 5.864E+00 1.200E+00  
 40-ZR- 90     9.152E+00 8.222E-01 1.526E-01 5.383E+00 2.130E+00  
 40-ZR- 91     1.036E+01 8.000E-01 7.822E-01 5.057E+00 1.200E+00  
                                                                  
 41-NB- 89  *  1.420E+01 7.303E-01 2.467E+00 6.611E+00 1.460E+00  
 41-NB- 90  *  1.395E+01 7.222E-01 1.458E+01 4.869E+00 0.0        
 41-NB- 91  *  9.464E+00 7.143E-01 3.924E-01 3.082E+00 9.300E-01  
 41-NB- 92     1.040E+01 8.410E-01 4.607E+00 4.477E+00 0.0        
                                                                  
 42-MO- 90  *  1.436E+01 7.222E-01 4.129E-01 7.834E+00 2.740E+00  
 42-MO- 91     1.168E+01 7.820E-01 1.284E+00 5.770E+00 1.280E+00  
 42-MO- 92     1.064E+01 7.770E-01 2.062E-01 5.938E+00 2.210E+00  
 42-MO- 93     1.125E+01 7.800E-01 9.792E-01 5.457E+00 1.280E+00  
 ---------------------------------------------------------------  
  SYST:  * = LDP'S WERE DETERMINED FROM SYSTEMATICS.              
                                                                  
  SPIN CUT-OFF PARAMS WERE CALCULATED AS 0.146*SQRT(A)*A**(2/3).  
  IN THE CASTHY CALUCULATION, SPIN CUT-OFF FACTORS AT 0 MEV WERE  
  ASSUMED TO BE 13.13 FOR MO-92 AND 5.000 FOR MO-93.              
                                                                  
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) CHIBA, S. ET AL.: JAERI-M 92-027, P.35 (1992).                
 4) YAMAMURO, N.: JAERI-M 90-006 (1990).                          
 5) KUMABE, I. ET AL.: NUCL. SCI. ENG., 104, 280 (1990).          
 6) ENSDF: EVALUATED NUCLEAR STRUCTURE DATA FILE, BNL/NNDC.       
 7) KIKUCHI, Y. ET AL.: JAERI-M 86-030 (1986).                    
 8) WASSON, O.A. ET AL.: PHYS. REV., C7, 1532 (1973).             
 9) WEIGMANN, H. ET AL.: 1971 KONOXVILLE, 749 (1971).             
10) MUSGROVE, A.R.DE L. ET AL.: NUCL. PHYS., A270, 108 (1976).    
11) MUGHABGHAB, S.F. ET AL.: "NEUTRON CROSS SECTIONS, VOL. I,     
    PART A", ACADEMIC PRESS (1981).                               
12) IGARASI, S. AND FUKAHORI, T.: JAERI 1321 (1991).              
13) IIJIMA, S. ET AL.: JAERI-M 87-025, P. 337 (1987).             
14) IIJIMA, S. AND KAWAI, M.: J. NUCL. SCI. TECHNOL., 20, 77      
    (1983).                                                       
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).    
18) 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).                                                       
19) GILBERT, A. AND CAMERON, A.G.W.: CAN. J. PHYS., 43, 1446      
    (1965).                                                       
20) IIJIMA, S., ET AL.: J. NUCL. SCI. TECHNOL. 21, 10 (1984).     
21) GRUPPELAAR, H.: ECN-13 (1977).                                
22) ARTHUR, E.D. AND YOUNG, P.G.: LA-8626-MS (1980).              
23) BENZI, V. AND REFFO, G.: CCDN-NW/10 (1969).                   
24) KIKUCHI, K. AND KAWAI, M.: "NUCLEAR MATTER AND NUCLEAR        
    REACTIONS", NORTH HOLLAND (1968).                             
25) FORREST, R.A.: AERE-R 12419 (1986).                           
26) IKEDA, Y. ET AL.: JAERI 1312 (1987).                          
27) KUNZ, P.D.: PRIVATE COMMUNICATION.