40-Zr- 90
40-ZR- 90 JNDC EVAL-AUG89 JNDC FP NUCLEAR DATA W.G.
DIST-MAR02 REV4-FEB02 20020214
----JENDL-3.3 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.
-------------------------------------------------------------
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.
No unresolved resonance region
calculated 2200-m/s cross sections and res. integrals (barns)
2200 m/s res. integ.
total 5.376 -
elastic 5.365 -
capture 0.0112 0.169
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/13/, by taking account of competing reactions, of which
cross sections were calculated with pegasus/14/ standing on a
preequilibrium and multi-step evaporation model. The omp's for
neutron given in Table 1 were determined by Iijima and Kawai/15/
to reproduce a systematic trend of the total cross section. The
omp's for charged particles are as follows:
proton = Perey/16/
alpha = Huizenga and Igo/17/
deuteron = Lohr and Haeberli/18/
helium-3 and triton = Becchetti and Greenlees/19/
Parameters for the composite level density formula of Gilbert
and Cameron/20/ were evaluated by Iijima et al./21/ 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
/22/.
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/23/ 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/24/ 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./25/
For JENDL-3.3, the cross section was modified so as to
reproduce elemental data measured by Stavisskij et al./32/ and
Poenitz/33/.
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/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) 40.00 mb (recommended by Forrest/27/)
(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./28/, Pavlink et al.
/29/ 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/13/.
mt = 51-57
Taken from JENDL fusion file which was calculated with
casthy and dwuck/30/ (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/31/.
mf = 12 Photon production multiplicities
mt=16, 22, 28, 91, 103, 107
Calculated with gnash code /4/.
mt=102
Calculated with casthy code /13/.
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 /13/.
mf = 33 Covariances of cross sections
mt=4
Based on measured nonelastic and (n,2n) cross sections./34/
mt=16
Based on measured cross sections./34/
mt=102
Based on experimental data./34/
=================================================================
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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.
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) Musgrove, A.R. de L. et al.: Aust. J. Phys., 30, 379 (1977).
8) Boldeman, J.W., et al.: Nucl. Phys., A246, 1 (1975).
9) Mughabghab, S.F. et al.: "Neutron Cross Sections, Vol. I,
Part A", Academic Press (1981).
10) Pomerance, H.: Phys. Rev., 88, 412 (1952).
11) Allen, B.J., et al.: Nucl. Sci. Eng., 82, 230 (1982).
12) Lone, M.A. and Bartholomew, G.A.: Proc. 4th Int. Conf. on
Neutron-Capture Gamma-Ray Spectroscopy and Related Topics,
Grenoble, Sept.1981, p.383 (1981).
13) Igarasi, S. and Fukahori, T.: JAERI 1321 (1991).
14) Iijima, S. et al.: JAERI-M 87-025, p. 337 (1987).
15) Iijima, S. and Kawai, M.: J. Nucl. Sci. Technol., 20, 77
(1983).
16) Perey, F.G: Phys. Rev. 131, 745 (1963).
17) Huizenga, J.R. and Igo, G.: Nucl. Phys. 29, 462 (1962).
18) Lohr, J.M. and Haeberli, W.: Nucl. Phys. A232, 381 (1974).
19) 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).
20) Gilbert, A. and Cameron, A.G.W.: Can. J. Phys., 43, 1446
(1965).
21) Iijima, S., et al.: J. Nucl. Sci. Technol. 21, 10 (1984).
22) Gruppelaar, H.: ECN-13 (1977).
23) Arthur, E.D. and Young, P.G.: LA-8626-MS (1980).
24) Benzi, V. and Reffo, G.: CCDN-NW/10 (1969).
25) Musgrove, A.R. de L., et al.: Proc. Int. Conf. on Neutron
Physics and Nucl. Data for Reactors, Harwell 1978, 449.
26) Kikuchi, K. and Kawai, M.: "Nuclear Matter and Nuclear
Reactions", North Holland (1968).
27) Forrest, R.A.: AERE-R 12419 (1986).
28) Zhao Wen-Rong, et al.: Chinese J. Nucl. Phys., 6, 80 (1984).
29) Pavlink, A., et al.: J. Phys., G8, 1283 (1982).
30) Kunz, P.D.: Private communication.
31) Kalbach, C. : Phys. Rev. C37, 2350(1988).
32) Stavisskij, Ju.Ja. et al.: At. Energija, 15, 323 (1963).
33) Poenitz, W.P.: ANL-83-4, p.239 (1982).
34) Shibata K. et al.: JAERI-Research 96-041 (1996) [in Japanese].