40-Zr- 92
40-Zr- 92 JNDC EVAL-AUG89 JNDC FP NUCLEAR DATA W.G.
DIST-MAY10 20091125
----JENDL-4.0 MATERIAL 4031
-----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.
94-04 JENDL-3.2.
Resonance parameters by M.Kawai(toshiba)
Others were mainly taken from JENDL fusion file
Compiled by T.Nakagawa (ndc/jaeri)
***** modified parts for JENDL-3.2 ********************
(3,2), (3,4), (3,51-91), (3,16), (3,17)
(4,16-91)
(5,16-91)
Above data were taken from JENDL fusion file.
(2,151) Parameters of a negative resonance
***********************************************************
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.
***********************************************************
09-07 Compiled by A.Ichihara (jaea/ndc) for JENDL-4.0.
***** modified parts for JENDL-4.0 ********************
(1,451) Updated.
(2,151) 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 Apr. 1994)
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) 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 and 33.
The ddx's of the continuum 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 71 keV
Resonance parameters were taken from JENDL-2. Evaluation for
JENDL-2 was based on the measured data by Boldeman et al./7/
Parameters of a negative resonance and effective scattering
radius were adopted from the recommendation of Mughabghab et
al./8/ Average radiation widths of 0.180 eV and 0.270 eV were
assumed for s-wave and p-wave resonances, respectively. For
JENDL-3.2, the parameters of the negative resonance were
modified to reproduce the thermal elastic scattering cross
section of 7.1 b of Zr-92 and 6.4 b/8/ of natural Zr.
Unresolved resonance region : 71 keV - 200 keV
The unresolved resonance parameters were calculated using
the asrep code/9/.
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 7.379 -
elastic 7.150 -
capture 0.2292 0.652
mf = 3 Neutron cross sections
Below 100 keV, resonance parameters were given.
For JENDL-3.1, above 100 keV, 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/10/ standing on a preequilibrium
and multi-step evaporation model. The omp's for neutron given
in Table 1 were determined by Iijima and Kawai/11/ to reproduce
a systematic trend of the total cross section. The omp's for
charged particles are as follows:
proton = Perey/12/
alpha = Huizenga and Igo/13/
deuteron = Lohr and Haeberli/14/
helium-3 and triton = Becchetti and Greenlees/15/
Parameters for the composite level density formula of Gilbert
and Cameron/16/ were evaluated by Iijima et al./17/ 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
/18/.
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/19/ 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 with casthy 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 0.9345 2 + *
2 1.3828 0 + *
3 1.4954 4 +
4 1.8473 2 + *
5 2.0667 2 +
6 2.1500 2 +
7 2.3397 3 - *
8 2.3983 4 +
9 2.4859 5 -
10 2.7435 4 -
11 2.8197 2 + *
12 2.8640 4 +
13 2.9036 0 +
14 2.9095 3 -
15 2.9578 6 +
16 3.0397 2 + *
17 3.0578 2 +
Levels above 3.058 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/20/ and normalized to 1 milli-barn at 14 MeV.
The gamma-ray strength function (8.99e-05) was adjusted to
reproduce the capture cross section of 30 milli-barns at 100
keV measured by Musgrove et al./21/
For JENDL-3.3, the cross section was modified so as to
reproduce elemental data measured by Stavisskij et al./22/ and
Poenitz/23/.
For JENDL-4.0, the cross section was re-calculated with the
pod code/24/.
Calculated cross sections were normalized to reproduce
measured data (11.6 mb at 550 keV) by Ohgama et al/25/.
mt = 22 (n,n'a) cross section
mt = 28 (n,n'p) cross section
mt = 32 (n,n'd) cross section
mt = 33 (n,n't) 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 (= 163.7) was estimated by the
formula derived from Kikuchi-Kawai's formalism/26/ 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) 22.00 mb (measured by Ikeda+/27/)
(n,alpha) 9.50 mb (averaged value of Qaim+/28/
and Bayhurst+/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
Sum of mt=33 and 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 = 51-67
Taken from JENDL fusion file which was calculated with
casthy and dwuck/32/ (dwucky) in the sincros-ii system.
mf = 6 Energy-angle distributions of secondary particles
mt = 16,17,22,28,32,33,91
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 /12/.
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 /12/.
=================================================================
<>
=================================================================
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.
Ttable 2 Level density parameters
nuclide a(1/MeV) t(MeV) c(1/MeV) Ex(MeV) pairing
---------------------------------------------------------------
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
38-Sr- 91 1.090e+01 8.100e-01 1.103e+00 5.625e+00 1.240e+00
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
39-Y - 92 1.012e+01 7.629e-01 2.480e+00 3.191e+00 0.0
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
40-Zr- 93 1.298e+01 7.000e-01 1.273e+00 5.183e+00 1.200e+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 6.937 for Zr- 92 and 6.100 for Zr- 93.
References
1) Aoki, T. et al.: Proc. Int. Conf. on Nuclear Data for Basic
and Applied Science, Santa Fe., Vol. 2, p.1627 (1985).
2) Kawai, M. et al.: J. Nucl. Sci. Technol., 29, 195 (1992).
3) Chiba, S. et al.: JAERI-M 92-027, p.35 (1992).
4) Yamamuro, N.: JAERI-M 90-006 (1990).
5) Kumabe, I. et al.: Nucl. Sci. Eng., 104, 280 (1990).
6) ENSDF: Evaluated Nuclear Structure Data File, BNL/NNDC.
7) Kikuchi, Y. et al.: JAERI-M 86-030 (1986).
8) Mughabghab, S.F. et al.: "Neutron Cross Sections, Vol. I,
Part A", Academic Press (1981).
Mughabghab, S.F. : Atlas of Neutron Resonances, Elsevier,
Amsterdam (2006).
9) Kikuchi, Y., et al. : JAERI-Data/Code 99-025 (1999)
[in Japanese].
10) Iijima, S. et al.: JAERI-M 87-025, p. 337 (1987).
11) Iijima, S. and Kawai, M.: J. Nucl. Sci. Technol., 20, 77
(1983).
12) Perey, F.G: Phys. Rev. 131, 745 (1963).
13) Huizenga, J.R. and Igo, G.: Nucl. Phys. 29, 462 (1962).
14) Lohr, J.M. and Haeberli, W.: Nucl. Phys. A232, 381 (1974).
15) Becchetti, F.D., Jr. and Greenlees, G.W.: Polarization
Phenomena in Nuclear Reactions ((Eds) H.H. Barshall and
W. Haeberli), p. 682, the University of Wisconsin Press.
(1971).
16) Gilbert, A. and Cameron, A.G.W.: Can. J. Phys., 43, 1446
(1965).
17) Iijima, S., et al.: J. Nucl. Sci. Technol. 21, 10 (1984).
18) Gruppelaar, H.: ECN-13 (1977).
19) Arthur, E.D. and Young, P.G.: LA-8626-MS (1980).
20) Benzi, V. and Reffo, G.: CCDN-NW/10 (1969).
21) Musgrove, A.R. de L., et al.: Proc. Int. Conf. on Neutron
Physics and Nucl. Data for Reactors, Harwell 1978, 449.
22) Stavisskij, Ju.Ja. et al.: At. Energija, 15, 323 (1963).
23) Poenitz, W.P.: ANL-83-4, p.239 (1982).
24) Ichihara, A., et al. : J. Nucl. Sci. Technol. 46, 1076 (2009).
25) Ohgama, K., et al. : J. Nucl. Sci. Technol., 42, 333 (2005).
26) Kikuchi, K. and Kawai, M.: "Nuclear Matter and Nuclear
Reactions", North Holland (1968).
27) Ikeda, Y. et al.: JAERI 1312 (1988).
28) Qaim, S. M., et al.: EURATOM Report 5182e, 939 (1974).
29) Bayhurst, B. P., et al.:J. Inorg. Nucl. Chem., 23, 173
(1961).
30) Igarasi, S. and Fukahori, T.: JAERI 1321 (1991).
31) Koning, A.J. and Delaroche, J.P. : Nucl. Phys., A713, 231
(2003).
32) Kunz, P.D.: Private communication.
33) Kalbach, C. : Phys. Rev. C37, 2350(1988).