48-Cd-111
48-CD-111 JNDC EVAL-MAR90 JNDC FP NUCLEAR DATA W.G.
DIST-MAR02 REV3-SEP01 20010907
----JENDL-3.3 MATERIAL 4840
-----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/.
93-12 JENDL-3.2 was made by JNDC FPND W.G.
***** modified parts for JENDL-3.2 ********************
(2,151) Resolved and unresolved resonance parameters
(3,102) Renormalization to recent experiment
(3,2), (3,4), (3,51-91), (4,51-91)
Effects of renormalization of capture
***********************************************************
01-08 Compiled by K.Shibata(jaeri/ndc) for JENDL-3.3.
******* modified parts for JENDL-3.3 *********************
(1,451) Updated.
(3,1) Revised.
(3,2) Revised.
(3,102) Revised.
(3,251) Deleted.
(4,2) Transformation matrix deleted.
(12,16-107) Added.
(14,16-107) Added.
(15,16-107) Added.
************************************************************
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 1.8 keV
Resonance parameters of JENDL-2 were modified for JENDL-3.
For JENDL-2, evaluation was made on the basis of experimen-
tal data of Liou et al./3/ and Wasson and Allen/4/. The
average radiation width was assumed to be 0.102 eV/3/.
Scattering radius of 6.5 fm was assumed on the basis of
systematics of measured values.
For JENDL-3, the lowest two p-wave resonances were added
according to the data by Alfimenkov et al./5/ Total spin J
of some resonances was tentatively estimated with a random
number method. Parameters of a negative resonance were
modified so as to reproduce the thermal capture and elastic
scattering cross sections given by Mughabghab et al./6/
For JENDL-3.2, the capture data measured at ORELA of ORNL
were renormalized (factor=1.208)/7/. The neutron and/or
radiation width were revised to reproduce the normalized
capture area for each resonance above 2.76 eV.
***** For JENDL-3.3 ****************************************
R was changed from 6.5fm to 6.2fm so as to reproduce measured
elemental total cross sections.
**************************************************************
Unresolved resonance region : 1.8 keV - 100 keV
The same parameter values as JENDL-2 were used as initial
values. Then the parameters were adjusted to reproduce the
capture cross section calculated with casthy /8/ (see mf=3,
mt=102) above 15 keV and those measured by Musgrove et al./9/
below 15 keV. 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 = 0.450e-4, S1 = 3.900e-4, S2 = 0.530e-4, Sg = 101.e-4,
Gg = 0.160 eV, R = 5.763 fm.
calculated 2200-m/s cross sections and res. integrals (barns)
2200 m/s res. integ.
total 28.545 -
elastic 4.606 -
capture 23.939 49.3
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/8/, 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 Cd-natural total cross sections
measured by Foster and Glasgow/11/, Poenitz and Whalen/12/ and
so on. The omp's for charged particles are as follows:
proton = Perey/13/
alpha = Huizenga and Igo/14/
deuteron = Lohr and Haeberli/15/
helium-3 and triton = Becchetti and Greenlees/16/
Parameters for the composite level density formula of Gilbert
and cameron/17/ were evaluated by Iijima et al./18/ 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
/19/.
mt = 1 Total
Spherical optical model calculation was adopted.
****** For JENDL-3.3 ****************************************
In the energy region from 100 keV to 2.5 MeV, cross section
was determined from the elemental data measured by Whalen
et al./25/, Green et al./26/ and Poenitz and Whalen/12/.
**************************************************************
mt = 2 Elastic scattering
Calculated as (total - sum of partial cross sections).
***** For JENDL-3.3 ****************************************
Background cross sections were generated so as to cancel
capture background.
**************************************************************
mt = 4, 51 - 91 Inelastic scattering
Spherical optical and statistical model calculation was
adopted. The level scheme was taken from ref./20/.
no. energy(MeV) spin-parity
gr. 0.0 1/2 +
1 0.2454 5/2 +
2 0.3419 3/2 +
3 0.3960 11/2 -
4 0.4166 7/2 +
5 0.6200 5/2 +
6 0.7000 3/2 +
7 0.7540 5/2 +
8 0.8665 3/2 +
9 1.0200 1/2 +
10 1.1300 5/2 +
11 1.1900 1/2 +
Levels above 1.33 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/21/ and normalized to 1 milli-barn at 14 MeV.
The gamma-ray strength function (1.032e-02) was adjusted to
reproduce the capture cross section of 664 milli-barns at 90
keV measured by Musgrove et al./9/
****** For JENDL-3.3 ****************************************
At the energies below 10 MeV, the cross section was modified
to well reproduce the elemental data measured by Kompe/27/ and
Poenitz /28/, by adopting background data in the unresolved
resonance region and multipling an energy dependent factor
above 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 = 32 (n,n'd) 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 (= 107.8) was estimated by the
formula derived from Kikuchi-Kawai's formalism/22/ 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) 50.00 mb (recommended by Forrest/23/)
(n,alpha) 4.52 mb (systematics of Forrest/23/)
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 from overlapping levels and for
other neutron emitting reactions.
mf = 12 Photon production multiplicities
mt=16, 17, 22, 28, 91, 103, 107
Calculated with gnash code /24/.
mt=102
Calculated with casthy code /8/.
mt=51-61
Transitioin probability arrays
mf = 14 Photon angular distributions
mt=16, 17, 22, 28, 51-61, 91, 102, 103, 107
Isotropic.
mf = 15 Continuous photon energy distributions
mt=16, 17, 22, 28, 91, 103, 107
Calculated with egnash code /24/.
mt=102
Calculated with casthy code /8/.
Table 1 Neutron optical potential parameters
depth (MeV) radius(fm) diffuseness(fm)
---------------------- ------------ ---------------
V = 50.01-0.5528E r0 = 5.972 a0 = 0.56
Ws = 8.165 rs = 6.594 as = 0.44
Vso= 5.261 rso= 5.97 aso= 0.267
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
---------------------------------------------------------------
46-Pd-107 1.916e+01 6.110e-01 6.467e+00 6.507e+00 1.350e+00
46-Pd-108 1.790e+01 6.460e-01 8.844e-01 7.957e+00 2.600e+00
46-Pd-109 2.071e+01 6.030e-01 1.194e+01 6.925e+00 1.350e+00
46-Pd-110 1.880e+01 6.300e-01 1.215e+00 7.897e+00 2.490e+00
47-Ag-108 1.671e+01 5.760e-01 1.221e+01 3.609e+00 0.0
47-Ag-109 1.650e+01 6.300e-01 2.761e+00 5.709e+00 1.250e+00
47-Ag-110 1.791e+01 5.900e-01 2.444e+01 4.282e+00 0.0
47-Ag-111 1.955e+01 5.810e-01 6.505e+00 5.835e+00 1.140e+00
48-Cd-109 1.812e+01 6.120e-01 3.856e+00 6.132e+00 1.360e+00
48-Cd-110 1.750e+01 6.300e-01 5.212e-01 7.482e+00 2.610e+00
48-Cd-111 1.874e+01 5.930e-01 3.762e+00 6.000e+00 1.360e+00
48-Cd-112 1.797e+01 6.190e-01 6.327e-01 7.351e+00 2.500e+00
---------------------------------------------------------------
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 4.636 for Cd-111 and 3.236 for Cd-112.
References
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