recent publications
update 2003/ 6/ 4
Neutron Capture Cross Section Measurement of Technetium-99
By Linac Time-of-Flight Method and the Resonance Analysis
K. Kobayashi, Samyol Lee, S. Yamamoto, T. Kawano
Nucl. Sci. Eng. (2003, in press).
Uncertainty Analyses in the Resolved Resonance Region of 235U, 238U,
and 239Pu with the Reich-Moore R-Matrix Theory for JENDL-3.2
T. Kawano, K. Shibata
J. Nucl. Sci. Technol., 39 , 807 (2002).
A simple method to estimate covariances for resolved resonance
parameters was developed. Although a large number of resolved
resonances are observed for major actinides, uncertainties in
averaged cross sections are more important than those in
resonance parameters in reactor calculations. The method
developed here derives a covariance matrix for the resolved
resonance parameters which gives an appropriate uncertainty of
the averaged cross sections. The method was adopted to evaluate
the covariance data for 235U, 238U, and 239Pu resonance
parameters in JENDL-3.2, with the Reich-Moore R-matrix formula.
Comparison of 235U Fission Cross Sections in JENDL-3.3 and ENDF/B-VI
T. Kawano, A.D. Carlson, H. Matsunobu, T. Nakagawa,
K. Shibata, P. Talou, P.G. Young, and M.B. Chadwick
JAERI-Research 2001-058 (2002)
Comparisons of evaluated fission cross sections for 235U in
JENDL-3.3 and ENDF/B-VI are carried out. The comparisons are
made for both the differential and integral data. The fission
cross sections as well as the fission ratios are compared with
the experimental data in detail. Spectrum averaged cross
sections are calculated and compared with the measurements.
The employed spectra are, the 235U prompt fission neutron
spectrum, the 252Cf spontaneous fission neutron spectrum, and
the neutron spectrum produced by a 9Be(d,xn) reaction. For
235U prompt fission neutron spectrum, the ENDF/B-VI evaluation
reproduces experimental averaged cross sections. For 252Cf and
9Be(d,xn) neutron spectra, the JENDL-3.3 evaluation gives
better results than ENDF/B-VI.
Interference effect in the scattering amplitudes for nucleon-induced
two-step direct process using the sudden approximation
T. Kawano and S. Yoshida
Phys. Rev., C, 64 , 024603 (2001)
An implementation of calculation for two-step cross sections of the
theory of Nishioka, Weidenmueller and Yoshida is described. Cross
sections which excite a 2p-2h state are expressed in J -scheme,
and a
Yukawa interaction is assumed for the particle-hole pair creation.
The Green's function which connects the one-step matrix element to the
two-step one is represented in $r$-space. An interference effect among
the amplitudes for the different intermediate states is examined by
means of a spectroscopic amplitude. A strong interference appears for a
certain configuration, and this is interpreted by a Boson approximation.
Microscopically calculated two-step cross sections for
208Pb(p,p') reactions are averaged together with the true level
density which is based on the random matrix theory to give a two-step
cross section to the continuum energy region.
Effect of the preequilibrium process upon
fast neutron fission spectra from 238U
T. Kawano, T. Ohsawa, M. Baba, and T. Nakagawa
Phys. Rev., C, 63 , 034601 (2001)
A preequilibrium process for the prefission neutron which is
emitted before scission is calculated with the model of Feshbach,
Kerman, and Koonin. A forward-peaked angular distribution of the
neutron emission from 238U bombarded by 14 and 18 MeV
neutrons is expressed with the statistical multistep compound
(MSC) process and the one-step direct process. The fission
neutron energy spectra are calculated with the model of Madland
and Nix, with some modifications by Ohsawa et al. The calculated
total neutron emission spectra and their energy-angle
distributions (double-differential cross sections) are compared
with the experimental data, and a strength of the residual
interaction V0 is estimated. The comparisons of the
calculations with the experimental data show that the 14 MeV data
are well reproduced but the 18 MeV data are
underestimated. Anisotropy is seen in the angle-differential
fission spectra, and this is due to an existence of the
prefission neutron.
Calculation of the MSD Two-Step Process with
the Sudden Approximation
T. Kawano and S. Yoshida
Proc. of the 9th Int. Conf. on Nuclear Reaction Mechanisms,
5--9 June, 2000, Villa Monastero, Varenna, Italy,
Ed. E. Gadioli, Ricerca Scientifica ed Educazione Permanente
Supplemento N.115, pp.181--189 (2000).
A method to calculate the two-step process is described
according to the theory of Nishioka, Weidenmueller and Yoshida
(NWY), in which the sudden approximation is used. The Green's
function which connects the one-step matrix element to the
two-step one is represented in r-space, and the Yukawa
interaction is employed for a particle-hole pair creation. An
effect of interference between the different intermediate states
is investigated by means of a spectroscopic amplitude and a
Boson approximation. Microscopically calculated two-step cross
sections for 208Pb(p,p') reactions are averaged together
with the true level density to give a two-step cross section to
the continuum.
Calculation of the MSD Two-Step Process
with the Sudden Approximation
S.Yoshida and T.Kawano
Proc. of the 1999 Symposium on Nuclear Data, Nov., 18-19, 1999, JAERI,
TOKAI, JAERI-Conf 2000-005 pp.284-289 (2000).
A calculation of the two-step process with the sudden approximation is
described. The Green's function which connects the one-step matrix
element to the two-step one is represented in $r$-space to avoid the
on-energy-shell approximation. Microscopically calculated two-step
cross sections are averaged together with an appropriate level density
to give a two-step cross section. The calculated cross sections are
compared with the experimental data, however the calculation still
contains several simplifications at this moment.
Revision of Heavy Nuclei Data in JENDL-3.2
T.Kawano and Heavy Nuclear Data Evaluation Working Group
Proc. of the 1999 Symposium on Nuclear Data, Nov., 18-19, 1999, JAERI,
TOKAI, JAERI-Conf 2000-005 pp.104-109 (2000).
In order to deal with problems concerning the data of heavy nuclides
in JENDL-3.2, a working group was organized to update the evaluated
nuclear data of Uranium, Plutonium, and Thorium isotopes. The current
status of the working group is reviewed, and some results about
resonance parameters, secondary neutron energy spectra, fission cross
sections, and direct/semidirect capture process are shown.
Simultaneous Evaluation of Fission Cross Sections
of Uranium and Plutonium Isotopes for JENDL-3.3
T.Kawano, H.Matsunobu, T.Murata, A.Zukeran, Y.Nakajima,
M.Kawai, O.Iwamoto, K.Shibata, T.Nakagawa, T.Ohsawa, M.Baba, and T.Yoshida
J. Nucl. Sci. Technol., 37 , 327 (2000)
A simultaneous evaluation of the fission cross sections of
U233U, U235, U238, Pu239, Pu240Pu and Pu241 was carried out for the evaluated
nuclear data library JENDL-3.3. A least-squares method was applied to
selected absolute and relative measurements on the fission cross
sections. Covariance matrices of the experimental data were
constructed from the uncertainty information reported in the
references. The fission cross sections obtained were compared with the
JENDL-3.2 and ENDF/B-VI evaluations.
Evaluation of Fission Cross Sections and Covariances
for U233, U235, U238, Pu239, Pu240, and Pu241
T.Kawano, H.Matsunobu, T.Murata, A.Zukeran, Y.Nakajima,
M.Kawai, O.Iwamoto, K.Shibata, T.Nakagawa, T.Ohsawa, M.Baba, and T.Yoshida
JAERI-Research 2000-004
A simultaneous evaluation code SOK (Simultaneous
evaluation on KALMAN) has been developed, which is a least-squares fitting program to
absolute and relative measurements. The SOK code was employed to
evaluate the fission cross sections of U233, U235, U238, Pu239, Pu240 and Pu241 for
the evaluated nuclear data library JENDL-3.3. Procedures of the
simultaneous evaluation and the experimental database of the fission
cross sections are described. The fission cross sections obtained were
compared with evaluated values given in JENDL-3.2 and ENDF/B-VI.
Covariance Evaluation with the KALMAN System
T.Kawano and K.Shibata
Proc. of the Covariance Matrices: Generation, Formats and Applications
in Nuclear Energy Technologies, 22--23 April, 1999, BNL, Upton, New York, U.S.A.
(to be published)
The KALMAN system has been developed to evaluate covariances of
the evaluated nuclear data libraries. Calculation codes of an optical
model, a Hauser-Feshbach model, an improved Madland-Nix model, and
Reich-Moore R-matrix theory were incorporated into the system to
generate the covariances of various quantities. The system is applied
to some simple examples to show how the system works and how to
estimate covariances in case few experimental data are available.
Evaluation of Covariance for Fission Neutron Spectra
T.Kawano, T.Ohsawa, K. Shibata, H.Nakashima
JAERI-Research 99-009, pp.1--43 (1999)
A covariance evaluation system for the evaluated nuclear data library
JENDL-3.2 was established, and the covariance data for fission spectra
of 233U, 235U, 238U, 239Pu were evaluated. Two
methods were employed to evaluate the covariance. The first one is
based on the experimental data, and the second one is based on a model
calculation including some kinds of renormalizations. The later
technique was adopted for the covariance evaluation for the evaluated
fission spectra in JENDL-3.2.
We performed an adjustment of the evaluated fission spectrum of
235U using the spectrum averaged cross section of
27Al(n,p), 46,47,48Ti(n,p), 54,56Fe(n,p), 58Ni(n,p), 90Zr(n,2n)
reaction. It was demonstrated that the adjusted sperctrum is
normalized to unity.
1 Microscopic Calculation of the Multistep Compound Process
T.Kawano
Phys. Rev., C, 59 , 865 (1999)
The Feshbach, Kerman, and Koonin model of statistical multistep
compound (MSC) process is calculated microscopically, and comparisons
of the microscopically calculated MSC process with a phenomenological
phase space model are made. The microscopic model gives small particle
emission probability in comparison with the constant wave function
approximation, and a simple way to get rid of the difference is
proposed. A 2p-1h doorway state formation cross section is
calculated with the spherical Nilsson model, and a strength of the
residual interaction V0 is estimated from the doorway state
formation cross section. The obtained V0 is in the same magnitude
as those derived in the previous MSD analyses. Comparisons of the
microscopic MSC calculations with the experimental data show that the
calculated particle emission spectra reproduce the measurements at backward
angles.
Analysis of 58Ni(n,alpha) Reaction Cross Sections
with the Hauser-Feshbach Statistical Theory
and the Bayesian Parameter Estimation Method
T.Kawano, T.Sanami, M.Baba, and H. Nakashima
J. Nucl. Sci. Technol., 36 , 256 (1999)
Experimental data of 58Ni(n,alpha) reaction cross sections are
analyzed with the Hauser-Feshbach statistical model with the width
fluctuation correction by Moldauer. A neutron optical potential which
was derived from neutron induced reaction data is used for an entrance
channel in order to fix the total reaction cross sections at reliable
values. Global optical potentials are used for the proton and
alpha-particle emission channels, and level density parameters of
the residual nuclei are determined from the cumulative plot of
discrete levels. These parameters are adjusted to the experimental
data of 58Ni(n,alpha) and (n,p) reaction cross
sections, including the angular distribution of the emitted
alpha-particles. The obtained parameters yield a good fit to the
experimental cross sections of those reactions up to 8 MeV.
Estimation of Energy Dependence
of the Optical Potential Parameters for 209Bi
T.Kawano
Nucl. Sci. Eng., 131 , 107 (1999)
A parameter estimation method based on a Bayes'
theorem is applied to the parameters of the neutron optical potential for
209Bi. The potential parameters at a certain energy are
determined according to an assumption that parameters vary gradually
with the incident neutron energies, and it is demonstrated that the
method can be used as an efficient tool for investigating the energy
dependence of the optical potential parameters.
The derived potential parameters are expressed by both a polynomial
function and a Brown-Rho parameterization, and the energy dependencies
are interpreted by a dispersion relation theory. Both expressions of
the energy dependent parameters give a good description of the
experimental elastic scattering cross section and the total cross
section.
Validity of DWBA Calculations for Neutron Inelastic
Scattering from Molybdenum Isotopes
T.Kawano, Y. Watanabe, and M. Kawai
J. Nucl. Sci. Technol., 35 , 519 (1998)
Neutron inelastic scattering cross sections for molybdenum isotopes
are calculated with the DWBA and the coupled-channels
methods. Anomalous enhancement of the DWBA cross sections near the
threshold energy appears when the adopted optical potential has a
shallow imaginary part. Calculations with some simplified optical
potentials indicate that the enhancement can be related with the
p-wave strength, and it is found that the problem comes from the
optical potential used.
When an adopted optical potential to the DWBA calculation is
physically reasonable, differences between the calculated cross
sections with the DWBA and those with the coupled-channels theory are
small. Experimental data of 92Mo, 98Mo and 100Mo
are well reproduced by the calculated cross sections with the DWBA and
the Hauser-Feshbach-Moldauer statistical model, and it is concluded
that the DWBA is an appropriate method to evaluate cross sections of
inelastic scattering from the molybdenum isotopes.
Development of the Multistep Compound Process Calculation Code
T.Kawano,
Proc. of the 1997 Symposium on Nuclear Data, Nov., 27-28, 1997, JAERI,
TOKAI, JAERI-Conf 98-003, p.312 (1998).
A program "cmc" has been developed to calculate the multistep
compound (MSC) process by Feshbach-Kerman-Koonin. A radial overlap
integral in the transition matrix element is calculated
microscopically, and comparisons are made for neutron induced
93Nb reactions. Strengths of the two-body interaction V0 are
estimated from the total MSC cross sections.
Master equation approach to statistical multistep compound reactions
T.Kawano, M.Nakamura, and Y.Watanabe
Phys. Rev. C, 57 , 978 (1998).
A master equation is incorporated in Feshbach, Kerman, and Koonin
model calculations of statistical multistep compound (MSC) emission.
Damping X and Y functions which describe the particle-hole
annihilation process are derived. The MSC cross sections are
calculated with the master equation. The effect was found to be large
at lower energies for light nuclei, but not significant when the
incident energy is above 20 MeV. The difference between a closed form
solution and the master equation result is masked by the large multistep
direct and evaporation components.
Covariance Evaluation System
T.Kawano and K.Shibata(JAERI)
JAERI-Data/Code 97-037 (in Japanese)
A covariance evaluation system for the evaluated nuclear data library
was established. The parameter estimation method and the least squares
method with a spline function are used to generate the covariance
data. Uncertainties of nuclear reaction model parameters are estimated
from experimental data uncertainties, then the covariance of the
evaluated cross sections is calculated by means of error
propagation. Computer programs ELIESE-3, EGNASH4, ECIS, and CASTHY are
used. Covariances of 238U reaction cross sections were
calculated with this system.
Partial-wave analysis with the optical model
for the resolved and unresolved resonance region of 56Fe
T.Kawano and F.H.Froehner(FZK,INR)
Nucl.Sci. Eng., 127 , 130 (1997)
We have studied optical model fits to total neutron cross
sections of 56Fe using the accurate data base existing in the
resolved and unresolved resonance region. Averages over resolved
resonances were calculated from resonance parameters in Reich-Moore
(reduced R matrix) approximation with Lorentzian weighting. Optical
potential parameters were obtained for the s-, p-, and d-waves that
reproduce the smoothed cross sections in the resolved resonance
region. The p-wave optical potential was found to differ from the
S-wave potential. When the appropriate higher angular momentum
contributions are added, the average total cross sections can be fitted
quite well, from the resolved resonance region all the way up to 20 MeV.
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