40-Zr- 96
40-Zr- 96 JNDC EVAL-AUG89 JNDC FP NUCLEAR DATA W.G.
DIST-MAY10 20100205
----JENDL-4.0 MATERIAL 4043
-----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.
93-09 JENDL-3.2.
Compiled by T.Nakagawa (ndc/jaeri)
***** modified parts for JENDL-3.2 ********************
(3,2), (3,4), (3,16), (3,17), (3,51-91)
(4,16-91)
(5,16-91)
These data were taken from JENDL fusion file.
***********************************************************
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) Re-calculated.
(3,102) Revised.
(3,251) Deleted.
(3,203-207) Calcualted.
(4,2) Transformation matrix deleted.
(4,16-91) Deleted.
(5,16-91) Deleted.
(6,16-207) Taken from JENDL fusion file.
(12,16-107) Added.
(14,16-107) Added.
(15,16-107) Added.
***********************************************************
09-08 Compiled by A.Ichihara (jaea/ndc) for JENDL-4.0.
***** modified parts for JENDL-4.0 ********************
(1,451) Updated.
(2,151) Resolved resonance parameters. (T.Murata)
Unresolved resonance parameters.
(3,2) Revised.
(3,102) Re-calculated.
(4,2) Re-calculated for energies larger than 6 MeV.
***********************************************************
-------------------------------------------------------------
JENDL fusion file /3/ (as of Sep. 1993)
Evaluated and comiled by S. Chiba (ndc/jaeri)
Data were taken from JENDL-3.1 except for the following:
- The discrete and continuum inelastic scattering cross
sections were calculated with casthy2y and dwucky in
sincros-ii system/4/ including contributions from
direct reactions.
- Angular distributions of discrete inelastics were also
calculated with casthy2y and dwucky.
- The (n,2n) and (n,3n) reaction cross sections (mt=16, 17)
were replaced with those calculated by egnash2 in the
sincros-ii.
- Energy distributions of secondary neutrons were replaced
by those calculated by egnash2. The ddx's of the
continuum neutrons were calculated by Kumabe's systema-
tics /5/ using f15tob /3/. The precompound/compound
ratio was calculated by the sincros- ii code system.
- 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: below 100 keV
In JENDL-3.3, resonance energies and neutron widths were
based on the measured values by Coceva et al./7/ below 41.5
keV and those by Musgrove et al./8/ above 41.5 keV. The
neutron widths of Musgrove et al. were multiplied by a
factor of 1.79 so as to be consistent with the data of
Coceva et al. The radiation widths were adopted from
Brusegan et al./9/ The parameters of the 301-eV level were
taken from Salah et al./10/ Parameter of a negative
resonance was based on the recommended parameters given
in ref./11/, and the radiation width was modified so as to
reproduce the capture cross section of 0.0229+-0.0010 barns
at 0.0253 eV/11/. Average radiation widths of 0.068+-0.010
eV and 0.170+-0.130 eV were adopted to s-wave and p-wave
resonances, respectively.
In JENDL-4.0 the parameters of Er=301.1eV(p-wave) resonance
of JENDL-3.3 was replaced by those of Er=301.1eV resonance
measured by Leinweber et al./12/. Neutron width and capture
width of the resonance were somewhat modified within the
experimental error, to obtain better agreement with the
capture resonance integral value given by Mughabghab/13/.
Negative resonance capture width was adjusted to reproduce
2200m/s capture cross section given by Mughabghab/13/.
Unresolved resonance region : 100 keV - 200 keV
The unresolved parameters were calculated using
the asrep code/14/.
The parameters should be used only for self-shielding
calculation.
calculated 2200-m/s cross sections and res. integrals (barns)
2200 m/s res. integ.
total 6.184 -
elastic 6.164 -
capture 0.02032 4.23
mf = 3 Neutron cross sections
Below 100 keV, resolved resonance parameters were given.
Above 100 keV, the spherical optical and statistical model
calculation was performed with casthy/15/, by taking account of
competing reactions, of which cross sections were calculated
with pegasus/16/ standing on a preequilibrium and multi-step
evaporation model. The omp's for neutron given in Table 1 were
determined by Iijima and Kawai/17/ to reproduce a systematic
trend of the total cross section. The omp's for charged
particles are as follows:
proton = Perey/18/
alpha = Huizenga and Igo/19/
deuteron = Lohr and Haeberli/20/
helium-3 and triton = Becchetti and Greenlees/21/
Parameters for the composite level density formula of Gilbert
and Cameron/22/ were evaluated by Iijima et al./23/ 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
/24/.
For JENDL-3.2, data of inelastic, (n,2n) and (n,3n) reaction
cross sections were adopted from JENDL fusion file. The
calculation was made with sincros-ii system/4/ by adopting
Walter-Guss omp modified by Yamamuro/4/ for neutrons, Lemos omp
modified by Arthur and Young/25/ 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 was adopted.
For JENDL-3.3, the cross sections was modified so as to
reproduce measured elemental data.
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/ Contributions of the direct process was calculated
for the levels marked with '*'.
no. energy(MeV) spin-parity (direct process)
gr. 0.0 0 +
1 1.5940 0 +
2 1.7505 2 + *
3 1.8971 3 - *
4 2.2259 1 -
5 2.3300 2 +
6 2.4400 1 -
7 2.8574 3 -
Levels above 2.857 MeV were assumed to be overlapping.
mt = 16 (n,2n) cross section
mt = 17 (n,3n) cross section
Data for JENDL fusion file were adopted.
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/26/ and normalized to 1 milli-barn at 14 MeV.
The gamma-ray strength function (1.40e-5) was adjusted to
reproduce the capture cross section of 12 milli-barns at 30
keV measured by Wyrick/27/
For JENDL-3.3, the cross section was modified so as to
reproduce elemental data measured by Stavisskij et al./28/
and Poenitz/29/.
For JENDL-4.0, the cross section was re-calculated with the
pod code/30/.
Calculated cross sections were normalized to produce
6.5 mb at 500 keV.
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 (= 203.6) was estimated by the
formula derived from Kikuchi-Kawai's formalism/31/ 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) 1500.00 mb (measured by Ikeda+/32/)
(n,p) 3.79 mb (systematics of Forrest/33/)
(n,alpha) 3.00 mb (recommended by Forrest/33/)
mt=203 Total proton production
Sum of mt=28 and 103.
mt=204 Total deuteron production
Equal to mt=104.
mt=205 Total triton production
Equal to mt=105.
mt=207 Total alpha production
Sum of mt=22 and 107.
mf = 4 Angular distributions of secondary neutrons
mt = 2
Calculated with casthy/15/.
In JENDL-4.0, the angular distributions were re-calculated
for neutron energies larger than 6 MeV with the Koning
and Delaroche local OMP/34/.
mt = 51-57
Taken from JENDL fusion file data which was calculated with
casthy2y and dwuck/35/ (dwucky) in the sincros-ii system.
mf = 6 Energy-angle distributions of secondary particles
mt = 16,17,22,28,32,91
Based on Kumabe's systematics/5/.
mt = 203,204,205,207
Based on Kalbach's systematics/36/.
mf = 12 Photon production multiplicities
mt=16, 17, 22, 28, 91, 103, 107
Calculated with gnash code /4/.
mt=102
Calculated with casthy code /15/.
mt=51-57
Transitioin probability arrays
mf = 14 Photon angular distributions
mt=16, 17, 22, 28, 51-57, 91, 102, 103, 107
Isotropic.
mf = 15 Continuous photon energy distributions
mt=16, 17, 22, 28, 91, 103, 107
Calculated with egnash code /4/.
mt=102
Calculated with casthy code /15/.
=================================================================
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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
Vso= 7.0 rso= 5.893 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
---------------------------------------------------------------
38-Sr- 92 * 1.288e+01 7.065e-01 2.515e-01 6.391e+00 2.360e+00
38-Sr- 93 * 1.386e+01 6.989e-01 1.878e+00 5.664e+00 1.240e+00
38-Sr- 94 * 1.485e+01 6.915e-01 4.495e-01 7.333e+00 2.530e+00
38-Sr- 95 * 1.586e+01 6.842e-01 4.531e+00 6.411e+00 1.240e+00
39-Y - 93 1.150e+01 8.053e-01 1.740e+00 5.854e+00 1.120e+00
39-Y - 94 9.149e+00 7.385e-01 1.378e+00 2.222e+00 0.0
39-Y - 95 1.070e+01 8.306e-01 1.082e+00 5.839e+00 1.290e+00
39-Y - 96 * 1.603e+01 6.771e-01 2.794e+01 5.117e+00 0.0
40-Zr- 94 1.275e+01 7.530e-01 4.411e-01 7.019e+00 2.320e+00
40-Zr- 95 1.331e+01 6.070e-01 5.453e-01 3.985e+00 1.200e+00
40-Zr- 96 1.320e+01 7.000e-01 2.235e-01 6.589e+00 2.490e+00
40-Zr- 97 1.259e+01 5.590e-01 2.497e-01 3.084e+00 1.200e+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 3.791 for Zr- 96 and 5.0 for Zr- 97.
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