40-Zr- 90
40-Zr- 90 JNDC EVAL-AUG89 JNDC FP NUCLEAR DATA W.G.
DIST-MAY10 20100204
----JENDL-4.0 MATERIAL 4025
-----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.
93-11 JENDL-3.2.
Resonance parameters modified by M.Kawai(toshiba).
Other modifications were adopted from JENDL fusion file.
Compiled by t.nakagawa (ndc/jaeri)
***** modified parts for JENDL-3.2 ********************
(2,151) Resolved resonance parameters
(3,2), (3,4), (3,32), (3,51-57), (3,91)
Taken from JENDL fusion file
(3,58-64): Deleted.
(4,16-91) Taken from JENDL fusion file
(5,16-91) 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.
***********************************************************
02-01 Covariances were added by K.Shibata.
09-07 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, K.Shibata)
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 Nov. 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,nd) reaction cross section (mt=32) was newly
calculated by egnash2 in the sincros-ii.
- All energy distributions of secondary neutrons were
replaced by those calculated by egnash2. The ddx's of
the continuum neutrons were calculated by Kumabe's
systematics /5/ using f15tob /3/. The precompound to
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
Resolved resonance region (MLBW formula) : below 171 keV
Resonance parameters for JENDL-3.1 were taken from JENDL-2
after slight modification.
For JENDL-2, resonance energies and neutron widths were
taken from the data of Musgrove et al./7/ Radiation widths
were derived from capture areas measured by Boldeman et al./8/
The parameters of the first resonance were slightly adjusted
so as to reproduce the capture and and elastic scattering
cross sections at 0.0253 eV/9/.
Average radiation width = 0.190 +- 0.110 eV for s-wave res,
0.270 +- 0.120 eV for p-wave res,
0.280 +- 0.120 eV for d-wave res.
The effective scattering radius of 7.0 fm was assumed.
For JENDL-3, the parameters of three d-wave resonances were
modified and a negative resonance was added so as to reproduce
the thermal capture cross section of 0.10+-0.07 barn measured
by Pomerance/10/, and the resonance integral given by
Mughabghab et al./9/
For JENDL-3.2, the parameters for the levels measured by
boldeman et al. in the energy range up to 192.9 keV were
reevaluated using their capture area data multiplied by 0.967
according to a corrigendum reported by Allen et al./11/. The
negative resonance was removed because the positive resonance
parameters reproduce well the thermal cross sections/12/ and
resonance integral.
For JENDL-4.0, the paramters for 3.86 - 68.6 keV were
replaced with the ones obtained by Tagliente et al./13/
Unresolved resonance region : 171 keV - 400 keV
The parameters were calculated using the asrep code/14/.
The unresolved 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 5.288 -
elastic 5.277 -
capture 0.0107 0.165
mf = 3 Neutron cross sections
Below 171 keV, resonance parameters were given.
In the evaluation for JENDL-3.1, above 171 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 scattering and (n,nd) reac-
tion 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 1.7607 0 + *
2 2.1865 2 + *
3 2.3191 5 -
4 2.7388 4 -
5 2.7479 3 - *
6 3.0772 4 + *
7 3.3087 2 +
Levels above 3.309 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/26/ and normalized to 1 milli-barn at 14 MeV.
The gamma-ray strength function (1.41e-05) was adjusted to
reproduce the capture cross section of 7.5 milli-barns at 100
keV measured by Musgrove et al./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 reproduce
measured data (6.55 mb at 544 keV) by Ohgama et al/31/.
mt = 16 (n,2n) cross section
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 =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.
The Kalbach's constant k (= 301.6) was estimated by the
formula derived from Kikuchi-Kawai's formalism/32/ 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) 40.00 mb (recommended by Forrest/33/)
(n,alpha) 10.00 mb (recommended by Forrest)
The (n.2n) cross section was determined by eye-guiding to the
experimental data of Zhao Wen-Rong et al./34/, Pavlink et al.
/35/ and many measured data around 14.5 MeV.
mt = 32 (n,n'd) cross section
Taken from JENDL fusion file.
mt=203 Total proton production
Sum of mt=28, 103, and 2.0*mt=111.
mt=204 Total deuteron production
Sum of mt=32 and 104.
mt=205 Total triton production
Equal to mt=105.
mt=206 Total He-3 production
Equal to mt=106.
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/36/.
mt = 51-57
Taken from JENDL fusion file which was calculated with
casthy and dwuck/37/ (dwucky) in the sincros-ii system.
mf = 6 Energy-angle distributions of secondary particles
mt = 16,22,28,32,91
Based on Kumabe's systematics/5/.
mt = 203,204,205,206,207
Based on Kalbach's systematics/38/.
mf = 12 Photon production multiplicities
mt=16, 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, 22, 28, 51-57, 91, 102, 103, 107
Isotropic.
mf = 15 Continuous photon energy distributions
mt=16, 22, 28, 91, 103, 107
Calculated with egnash code /4/.
mt=102
Calculated with casthy code /15/.
mf = 33 Covariances of cross sections
mt=4
Based on measured nonelastic and (n,2n) cross sections./39/
mt=16
Based on measured cross sections./39/
mt=102
Based on experimental data./39/
=================================================================
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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- 86 1.120e+01 8.900e-01 5.328e-01 8.599e+00 2.700e+00
38-Sr- 87 1.030e+01 8.610e-01 1.186e+00 5.938e+00 1.240e+00
38-Sr- 88 9.160e+00 7.510e-01 8.288e-02 4.550e+00 2.170e+00
38-Sr- 89 9.380e+00 8.200e-01 5.043e-01 4.642e+00 1.240e+00
39-Y - 87 * 1.388e+01 7.471e-01 2.541e+00 6.730e+00 1.460e+00
39-Y - 88 1.109e+01 7.450e-01 3.738e+00 3.570e+00 0.0
39-Y - 89 7.900e+00 8.500e-01 3.983e-01 3.440e+00 9.300e-01
39-Y - 90 1.027e+01 6.770e-01 1.716e+00 2.209e+00 0.0
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
---------------------------------------------------------------
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 10.12 for Zr- 90 and 12.04 for Zr- 91.
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