40-Zr- 91
40-ZR- 91 JNDC EVAL-AUG89 JNDC FP NUCLEAR DATA W.G.
DIST-MAR02 REV4-AUG01 20010810
----JENDL-3.3 MATERIAL 4028
-----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 ********************
Almost all cross section data except (3,1), (3,102),
(3,103) and (3,107):
(3,4), (3,51-91), (3,16), (3,17), (3,22), (3,28),
(3,32), (3,104), (3,105), (3,106)
(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.
***********************************************************
-------------------------------------------------------------
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.
- Threshold reaction cross sections (mt=16, 17, 22, 28, 32,
104, 105 and 106) 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 conti-
nuum neutrons were calculated by Kumabe's systematics/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 (MLBW formula) : below 30.16 keV
For JENDL-2, resonance energies recommended by Mughabghab et
al. /7/ were adopted. Neutron and radiative capture widths
were obtained by averaging the data of Musgrove et al. /8/
and of Brusegan et al. /9/. For the levels above 20 keV,
capture areas by Boldeman et al. /10/ were also taken into
account. Parameters of a negative resonance were adopted
from ref./7/. The effective scattering radius was also taken
from ref./7/.
assumed capture width = 0.120 eV for s-wave res.
0.240 eV for p-wave res.
For JENDL-3, thus evaluated parameters were modified by taking
account of the evaluation by Coceva/11/. After modification,
radiative widths were determined so as to reproduce capture
areas of JENDL-2.
Unresolved resonance region : 30.16 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 = 0.420e-4, S1 = 5.700e-4, S2 = 0.360e-4, Gg = 0.205 eV
Do = 660.4 eV, R = 6.621 fm.
calculated 2200-m/s cross sections and res. integrals (barns)
2200 m/s res. integ.
total 11.83 -
elastic 10.59 -
capture 1.247 6.94
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 and Kawai/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 Gilbert
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. Energy dependence of spin cut-off
parameter in the energy range below E-joint 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 adopting 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 parame-
ters 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 5/2 +
1 1.2048 1/2 +
2 1.4663 5/2 + *
3 1.8821 7/2 + *
4 2.0422 3/2 + *
5 2.1313 9/2 + *
6 2.1700 11/2 -
7 2.1899 5/2 +
8 2.2007 7/2 +
9 2.2597 13/2 -
10 2.2876 15/2 -
11 2.3201 11/2 - *
12 2.3558 1/2 - *
13 2.3669 7/2 - *
14 2.3949 9/2 - *
Levels above 2.395 MeV were assumed to be overlapping.
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 =104 (n,d) cross section
mt =105 (n,t) cross section
mt =106 (n,he3) cross section
Data were 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 (3.199e-04) was adjusted to
reproduce the capture cross section of 25 milli-barns at 100
keV measured by Musgrove et al./24/
For JENDL-3.3, the cross section was modified so as to
reproduce elemental data measured by Stavisskij et al./28/ and
Poenitz/29/.
mt =103 (n,p) cross section
mt =107 (n,alpha) cross section
These reaction cross sections were calculated with the
preequilibrium and multi-step evaporation model code
pegasus/13/.
The Kalbach's constant k (=269.1) was estimated by the formula
derived from Kikuchi-Kawai's formalism/25/ and level density
parameters.
Finally, (n,p) and (n,alpha) cross sections were normalized to
the following values at 14.5 MeV:
(n,p) 29.00 mb (recommendation by Forrest/26/)
(n,alpha) 8.51 mb (systematics of by Forrest/26/)
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=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/12/.
mt = 51-64
Taken from JENDL fusion file data which was calculated with
casthy and dwuck/27/ (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 = 203,204,205,206,207
Based on Kalbach's systematics/30/.
mf = 12 Photon production multiplicities
mt=16, 22, 28, 91, 103, 107
Calculated with gnash code /4/.
mt=102
Calculated with casthy code /12/.
mt=51-64
Transitioin probability arrays
mf = 14 Photon angular distributions
mt=16, 22, 28, 51-64, 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 /12/.
=================================================================
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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
Table 2 Level density parameters
nuclide a(/MeV) t(MeV) c(/MeV) Ex(MeV) pairing
---------------------------------------------------------------
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
38-Sr- 90 9.940e+00 8.530e-01 3.795e-01 6.252e+00 1.960e+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
39-Y - 91 1.050e+01 7.140e-01 8.362e-01 3.521e+00 7.200e-01
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
40-Zr- 92 1.088e+01 8.192e-01 5.122e-01 6.429e+00 1.920e+00
---------------------------------------------------------------
Spin cutoff params were calculated as 0.146*sqrt(a)*a**(2/3).
in the casthy calculation. Spin cutoff factors at 0 MeV were
assumed to be 12.04 for Zr- 91 and 6.937 for Zr- 92.
References
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