40-Zr- 94
40-Zr- 94 JNDC EVAL-AUG89 JNDC FP NUCLEAR DATA W.G.
DIST-MAY10 20100205
----JENDL-4.0 MATERIAL 4037
-----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 except for mt=32 which was
not taken into account in 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 resoannce parameters
Resolved resonance region: below 53.5 keV
In JENDL-3.3, parameters were determined on the basis of
measured data by Boldeman et al./7/ A negative resonance
was added to reproduce the capture cross section of 0.0499
barn and the elastic scattering cross section of 6.1 barn
at 0.0253 eV/8/. Average radiation widths of 0.090 eV and
0.175 eV were adopted to s-wave and p-wave resonances,
respectively.
In JENDL-4.0, the 2243-eV resonance was replaced by the
2239-eV resonance measured by Leinweber et al./9/
Unresolved resonance region : 53.5 keV - 200 keV
The unresolved parameters were calculated using
the asrep code/10/.
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 6.218 -
elastic 6.167 -
capture 0.05069 0.287
mf = 3 Neutron cross sections
Below 53.5 keV, resolved resonance parameters were given.
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/11/ standing on a preequilibrium and multi-step
evaporation model. The omp's for neutron given in Table 1 were
determined by Iijima and Kawai/12/ to reproduce a systematic
trend of the total cross section. 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/.
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/20/ 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 0.9187 2 + *
2 1.3002 0 +
3 1.4696 4 +
4 1.6714 2 +
5 2.0576 3 - *
6 2.1513 2 +
7 2.3302 4 +
8 2.3661 2 +
9 2.5077 3 + *
10 2.6045 5 -
11 2.6985 1 +
12 2.8260 2 +
13 2.8463 1 +
14 2.8606 4 + *
Levels above 2.861 MeV were assumed to be overlapping.
mt = 16 (n,2n) cross section
mt = 17 (n,3n) cross section
Taken from JENDL fusion file.
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 (4.89e-05) was adjusted to
reproduce the capture cross section of 19 milli-barns at 100
keV measured by Musgrove et al./22/
For JENDL-3.3, the cross section was modified so as to
reproduce elemental data measured by Stavisskij et al./23/
and Poenitz/24/.
For JENDL-4.0, the cross section was re-calculated with the
pod code/25/.
Calculated cross sections were normalized to reproduce
measured data (9.3 mb at 550 keV) by Ohgama et al/26/.
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 (= 161.8) was estimated by the
formula derived from Kikuchi-Kawai's formalism/27/ 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) 10.00 mb (recommended by Forrest/28/)
(n,alpha) 4.80 mb (measured by Ikeda+/29/)
mt=203 Total proton production
Sum of mt=28 and 103.
mt=204 Total deuteron production
Sum of mt=32 and 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/30/.
In JENDL-4.0, the angular distributions were re-calculated
for neutron energies larger than 6 MeV with the Koning
and Delaroche local OMP/31/.
mt = 51-64
Taken from JENDL fusion file data which was calculated with
casthy and dwuck/32/ (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/33/.
mf = 12 Photon production multiplicities
mt=16, 17, 22, 28, 91, 103, 107
Calculated with gnash code /4/.
mt=102
Calculated with casthy code /30/.
mt=51-64
Transitioin probability arrays
mf = 14 Photon angular distributions
mt=16, 17, 22, 28, 51-64, 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 /30/.
=================================================================
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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- 90 9.940e+00 8.530e-01 3.795e-01 6.252e+00 1.960e+00
38-Sr- 91 1.090e+01 8.100e-01 1.103e+00 5.625e+00 1.240e+00
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
39-Y - 91 1.050e+01 7.140e-01 8.362e-01 3.521e+00 7.200e-01
39-Y - 92 1.012e+01 7.629e-01 2.480e+00 3.191e+00 0.0
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
40-Zr- 92 1.088e+01 8.192e-01 5.122e-01 6.429e+00 1.920e+00
40-Zr- 93 1.298e+01 7.000e-01 1.273e+00 5.183e+00 1.200e+00
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
---------------------------------------------------------------
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 5.524 for Zr- 94 and 5.652 for Zr- 95.
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