42-Mo- 92
42-MO- 92 JNDC EVAL-AUG89 JNDC FP NUCLEAR DATA W.G.
DIST-MAR02 REV4-SEP01 20010904
----JENDL-3.3 MATERIAL 4225
-----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.
93-10 JENDL-3.2.
Compiled by T.Nakagawa (ndc/jaeri)
***** modified parts for JENDL-3.2 ********************
(3,2), (3,4), (3,51-91), (3,16), (3,22), (3,28)
(4,16-91)
(5,16-91)
These data were adopted from JENDL fusion file
***********************************************************
-------------------------------------------------------------
JENDL fusion file /3/ (as of Oct. 1993)
Evaluated by K.Kosako(nedac) and S.Chiba (ndc/jaeri)
Compiled by K.Kosako
The inelastic scattering, (n,2n), (n,np), (n,na) cross
sections were calculated with sincros-ii system/4/. The
other cross sections were taken from JENDL-3.1. mf=6 of
mt=16, 22, 28 and 91 were created with f15tob program /3/
in which Kumabe's systematics /5/ was used. The precom-
pound/compound ratio was calculated by the sincros-ii
code system/4/.
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/.
-------------------------------------------------------------
01-08 Compiled by K.Shibata (ndc/jaeri) for JENDL-3.3.
***** modified parts for JENDL-3.3 *********************
(1,451) Updated.
(3.1) Revised.
(3,2) Re-calculated.
(3,4) Re-calculated.
(3,51) Revised.
(3,203-207) Added.
(3,251) Deleted.
(4,2) Transformation matrix deleted.
(4,16-91) Deleted.
(5,16-91) Deleted.
(6,16-91) Taken from JENDL fusion file.
(12,102) Added.
(13,3) Added.
(14,3),(14,102) Added.
(15,3),(15,102) Added.
************************************************************
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 50 keV
Resonance parameters were evaluated by Kikuchi et al./7/ on
the basis of the following experiments.
transmission : Wasson et al./8/
capture : Wasson et al./8/, Weigmann et al./9/,
Musgrove et al./10/
Average radiative widths of 0.02 eV for s-wave res. and 0.425
eV for p-wave res were adopted. Scattering radius was taken
from Mughabghab et al./11/
Unresolved resonance region : 50 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 = 0.369e-4, S1 = 5.479e-4, S2 = 0.364 e-4, Gg = 0.226 eV
Do = 2252 eV, R = 6.746 fm.
calculated 2200-m/s cross sections and res. integrals (barns)
2200 m/s res. integ.
total 5.566 -
elastic 5.545 -
capture 0.02075 0.968
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 et al./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 Giibert
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. The energy dependence of spin
cut-off parameter in the energy range below E-joint (Ex) 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 adoptig 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
parameters of sincros-ii system.
mt = 1 Total
Below 500 keV, spherical optical model calculation was
adopted. Omp in Table 1 and casthy were used. Above 500 keV,
spline-fitting to the elemental data measured by Foster and
Glasgow/28/, Lambropoulos et al./29/ and Poenitz and Whalen
/30/ was made.
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/ cntributions of the direct process was calculated
for the levels marked with '*'.
no. energy(MeV) spin-parity
gr. 0.0 0 +
1 1.5095 2 + *
2 2.2826 4 +
3 2.5197 0 +
4 2.5271 5 -
5 2.6124 6 +
6 2.7604 8 +
7 2.8497 3 - *
8 3.0070 5 -
9 3.0641 4 -
10 3.0913 2 + *
11 3.3691 4 +
12 3.5420 2 +
13 3.5803 3 -
14 3.6212 4 +
15 3.6248 7 -
16 3.6880 4 + *
Levels above 3.688 MeV were assumed to be overlapping.
For JENDL-3.3, the cross sections for mt=51 were revised
by using Kawano's evalaution/35/.
mt = 16, 22, 28 (n,2n), (n,na) and (n,np) cross sections
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 (9.406e-05) was adjusted to
reproduce the experimental capture cross section measured by
Musgrove et al./9/.
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/13/.
The kalbach's constant k (= 251.4 ) was estimated by the
formula derived from Kikuchi-Kawai's formalism/24/ and level
density parameters.
Finally, (n,p) and (n,alpha) cross sections were normalized to
the following values at 14.5 MeV:
(n,p) 116 mb (systematics of Forrest/25/)
(n,alpha) 24 mb (measured by Ikeda et al./26/)
mt=203 Total proton production
Sum of mt=28, 103 and 2*(111).
mt=204 Total deuteron production
Equal to mt=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 = 51-66
Taken from JENDL fusion file data which was calculated with
casthy and dwuck/27/ in the sincros-ii system.
mf = 6 Energy-angle distributions of secondary particles
mt = 16,22,28,91
Based on Kumabe's systematics/5/.
mt = 203,204,205,206,207
Based on Kalbach's systematics/31/.
mf =12 Photon production multiplicities
mt = 102 (below 420 keV)
Calcuated with casthy.
mf =13 Photon production cross sections
mt = 3 (above 420 keV)
Fitted with the empirical formula by Howerton and Plechaty
/32/ based on the experimental data/33/.
mf =14 Photon angular distributions
mt = 3,102
Assumed to be isotropic.
mf =15 Continuous photon energy spectra
mt = 3
Fitted with the empirical formula by Howerton and Plechaty
/32/ based on the experimental data/33/, and compared with
experimental data measured by Yamamuro et al./34/.
mt = 102
Calculated with casthy/12/.
*Note that gamma-ray produciton for mt=3 was made so as to
reproduce measured elemental data.
=================================================================
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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
nucl. syst a(/MeV) t(MeV) c(/MeV) Ex(MeV) pairing
---------------------------------------------------------------
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
41-Nb- 89 * 1.420e+01 7.303e-01 2.467e+00 6.611e+00 1.460e+00
41-Nb- 90 * 1.395e+01 7.222e-01 1.458e+01 4.869e+00 0.0
41-Nb- 91 * 9.464e+00 7.143e-01 3.924e-01 3.082e+00 9.300e-01
41-Nb- 92 1.040e+01 8.410e-01 4.607e+00 4.477e+00 0.0
42-Mo- 90 * 1.436e+01 7.222e-01 4.129e-01 7.834e+00 2.740e+00
42-Mo- 91 1.168e+01 7.820e-01 1.284e+00 5.770e+00 1.280e+00
42-Mo- 92 1.064e+01 7.770e-01 2.062e-01 5.938e+00 2.210e+00
42-Mo- 93 1.125e+01 7.800e-01 9.792e-01 5.457e+00 1.280e+00
---------------------------------------------------------------
syst: * = ldp's were determined from systematics.
Spin cut-off params were calculated as 0.146*sqrt(a)*a**(2/3).
in the casthy caluculation. Spin cut-off factors at 0 MeV were
assumed to be 13.13 for Mo-92 and 5.000 for Mo-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) Wasson, O.A. et al.: Phys. Rev., C7, 1532 (1973).
9) Weigmann, H. et al.: 1971 Konoxville, 749 (1971).
10) Musgrove, A.R.de L. et al.: Nucl. Phys., A270, 108 (1976).
11) Mughabghab, S.F. et al.: "Neutron Cross Sections, Vol. I,
Part A", Academic Press (1981).
12) Igarasi, S. and Fukahori, T.: JAERI 1321 (1991).
13) Iijima, S. et al.: JAERI-M 87-025, p. 337 (1987).
14) Iijima, S. and Kawai, M.: J. Nucl. Sci. Technol., 20, 77
(1983).
15) Perey, F.G: Phys. Rev. 131, 745 (1963).
16) Huizenga, J.R. and Igo, G.: Nucl. Phys. 29, 462 (1962).
17) Lohr, J.M. and Haeberli, W.: Nucl. Phys. A232, 381 (1974).
18) 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).
19) Gilbert, A. and Cameron, A.G.W.: Can. J. Phys., 43, 1446
(1965).
20) Iijima, S., et al.: J. Nucl. Sci. Technol. 21, 10 (1984).
21) Gruppelaar, H.: ECN-13 (1977).
22) Arthur, E.D. and Young, P.g.: LA-8626-MS (1980).
23) Benzi, V. and Reffo, G.: CCDN-NW/10 (1969).
24) Kikuchi, K. and Kawai, M.: "Nuclear Matter and Nuclear
Reactions", North Holland (1968).
25) Forrest, R.A.: AERE-R 12419 (1986).
26) Ikeda, Y. et al.: JAERI 1312 (1987).
27) Kunz, P.D.: Private communication.
28) Foster, Jr.D.G. and Glasgow, D.W.: Phys. Rev., C3, 576 (1971).
29) Lambropoulos, P. et al.: Nucl. Phys., A201, 1 (1973).
30) Poenitz, W.P. and Whalen, J.F.; ANL/NDM-80 (1983).
31) Kalbach, C. : Phys. Rev. C37, 2350(1988).
32) Howerton, S.T. and Plechaty, E.F.: Nucl. Sci. Eng., 32, 178
(1968).
33) Morgan, G. and Newman, N.: ORNL-TM-5097 (1975).
34) Yamamuro, N. et al.: 1982 Antwerp, 152 (1982).
35) Kawano, T.: Private communication (2000).