40-Zr- 95 JAEA EVAL-SEP09 A.Ichihara, K.Shibata, S.Kunieda+
DIST-MAY10 20091201
----JENDL-4.0 MATERIAL 4040
-----INCIDENT NEUTRON DATA
------ENDF-6 FORMAT
History
09-08 The data above the neutron energy 30 keV were calculated by
POD. The JENDL-3.3 data were adopted for lower energies.
09-09 Compiled by A.Ichihara.
MF= 1 General information
MT=451 Descriptive data and directory
MF= 2 Resonance parameters
MT=151 Unresolved resonance region : 125 eV - 500 keV
The unresolved resonance parameters were recalculated using
the ASREP code/1/.
The parameters should be used only for self-shielding
calculation.
Thermal cross sections and resonance integrals at 300 K
----------------------------------------------------------
0.0253 eV res. integ. (*)
(barns) (barns)
----------------------------------------------------------
Total 6.9481E+00
Elastic 5.7345E+00
n,gamma 1.2005E+00 7.7485E+00
----------------------------------------------------------
(*) Integrated from 0.5 eV to 10 MeV.
MF= 3 Neutron cross sections
MT= 1 Total cross section
The cross sections were taken from JENDL-3.3/2/ for neutron
energies below 50 keV.
The cross sections were calculated with the POD code/3/
for neutron energies larger than 50 keV.
MT= 2 Elastic scattering cross section
Calculated as (total - sum of partial cross sections).
MT= 3 Non-elastic cross section
Sum of partial cross sections.
MT= 4,51-91 (n,n') cross section
Calculated with POD code /3/.
MT= 16 (n,2n) cross section
Calculated with POD code /3/.
MT= 17 (n,3n) cross section
Calculated with POD code /3/.
MT= 22 (n,na) cross section
Calculated with POD code /3/.
MT= 28 (n,np) cross section
Calculated with POD code /3/.
MT= 32 (n,nd) cross section
Calculated with POD code /3/.
MT=102 Capture cross section
The cross sections were taken from JENDL-3.3/2/ for neutron
energies below 30 keV.
The cross sections were calculated with the POD code/3/
for neutron energies larger than 30 keV.
MT=103 (n,p) cross section
Calculated with POD code /3/.
MT=104 (n,d) cross section
Calculated with POD code /3/.
MT=105 (n,t) cross section
Calculated with POD code /3/.
MT=106 (n,He3) cross section
Calculated with POD code /3/.
MT=107 (n,a) cross section
Calculated with POD code /3/.
MT=203 (n,xp) cross section
Calculated with POD code /3/.
MT=204 (n,xd) cross section
Calculated with POD code /3/.
MT=205 (n,xt) cross section
Calculated with POD code /3/.
MT=206 (n,xHe3) cross section
Calculated with POD code /3/.
MT=207 (n,xa) cross section
Calculated with POD code /3/.
MF= 4 Angular distributions of emitted neutrons
MT= 2 Elastic scattering
The angular distributions were calculated with the POD
code /3/ for neutron energies larger than 50 keV.
Below the energy, the JENDL-3.3/2/ evaluations were
adopted.
MF= 6 Energy-angle distributions of emitted particles
MT= 16 (n,2n) reaction
Neutron spectra calculated with POD/3/.
MT= 17 (n,3n) reaction
Neutron spectra calculated with POD/3/.
MT= 22 (n,na) reaction
Neutron spectra calculated with POD/3/.
MT= 28 (n,np) reaction
Neutron spectra calculated with POD/3/.
MT= 32 (n,nd) reaction
Neutron spectra calculated with POD/3/.
MT= 51 (n,n') reaction
Neutron angular distributions calculated with POD/3/.
MT= 52 (n,n') reaction
Neutron angular distributions calculated with POD/3/.
MT= 53 (n,n') reaction
Neutron angular distributions calculated with POD/3/.
MT= 54 (n,n') reaction
Neutron angular distributions calculated with POD/3/.
MT= 55 (n,n') reaction
Neutron angular distributions calculated with POD/3/.
MT= 56 (n,n') reaction
Neutron angular distributions calculated with POD/3/.
MT= 57 (n,n') reaction
Neutron angular distributions calculated with POD/3/.
MT= 58 (n,n') reaction
Neutron angular distributions calculated with POD/3/.
MT= 59 (n,n') reaction
Neutron angular distributions calculated with POD/3/.
MT= 60 (n,n') reaction
Neutron angular distributions calculated with POD/3/.
MT= 61 (n,n') reaction
Neutron angular distributions calculated with POD/3/.
MT= 62 (n,n') reaction
Neutron angular distributions calculated with POD/3/.
MT= 63 (n,n') reaction
Neutron angular distributions calculated with POD/3/.
MT= 64 (n,n') reaction
Neutron angular distributions calculated with POD/3/.
MT= 65 (n,n') reaction
Neutron angular distributions calculated with POD/3/.
MT= 66 (n,n') reaction
Neutron angular distributions calculated with POD/3/.
MT= 67 (n,n') reaction
Neutron angular distributions calculated with POD/3/.
MT= 68 (n,n') reaction
Neutron angular distributions calculated with POD/3/.
MT= 69 (n,n') reaction
Neutron angular distributions calculated with POD/3/.
MT= 91 (n,n') reaction
Neutron spectra calculated with POD/3/.
MT= 203 (n,xp) reaction
Proton spectra calculated with POD/3/.
MT= 204 (n,xd) reaction
Deuteron spectra calculated with POD/3/.
MT= 205 (n,xt) reaction
Triton spectra calculated with POD/3/.
MT= 206 (n,xHe3) reaction
He3 spectra calculated with POD/3/.
MT= 207 (n,xa) reaction
Alpha spectra calculated with POD/3/.
MF=12 Gamma-ray multiplicities
MT= 3 Non-elastic gamma emission
Calculated with POD code /3/.
MF=14 Gamma-ray angular distributions
MT= 3 Non-elastic gamma emission
Assumed to be isotropic.
MF=15 Gamma-ray spectra
MT= 3 Non-elastic gamma emission
Calculated with POD code /3/.
***************************************************************
* Nuclear Model Calculations with POD Code /3/ *
***************************************************************
1. Theoretical models
The POD code is based on the spherical optical model, the
distorted-wave Born approximation (DWBA), one-component exciton
preequilibrium model, and the Hauser-Feshbach-Moldauer statis-
tical model. With the preequilibrim model, semi-empirical
pickup and knockout process can be taken into account for
composite-particle emission. The gamma-ray emission from the
compound nucleus can be calculated within the framework of the
exciton model. The code is capable of reading in particle
transmission coefficients calculated by separate spherical or
coupled-channel optical model code.
2. Optical model parameters
Neutrons:
The global OMP by Koning and Delaroche /4/
The v_1 parameter in the real volume potential was changed
to 53.0 MeV from the original value 53.70 MeV.
Protons:
Koning and Delaroche /4/
Deuterons:
Lohr and Haeberli /5/
Tritons:
Becchetti and Greenlees /6/
He-3:
Becchetti and Greenlees /6/
Alphas:
Lemos /7/ potentials modified by Arthur and Young /8/
The radius parameters r_V = r_I = 1.44 fm were used in the
calculation.
3. Level scheme of Zr- 95
Nuclear discrete levels were obtained from RIPL-2/9/.
Contribution of the direct process was calculated by DWBA
for the levels marked with '*'.
------------------------------------------------
No. Ex(MeV) J PI DWBA
------------------------------------------------
0 0.00000 5/2 +
1 0.02300 3/2 -
2 0.95395 1/2 + * (l=2, beta=0.12)
3 1.14000 3/2 +
4 1.32377 5/2 +
5 1.61800 7/2 +
6 1.61826 3/2 +
7 1.72167 5/2 +
8 1.78800 3/2 +
9 1.89267 3/2 +
10 1.90394 5/2 +
11 1.94025 1/2 +
12 1.95592 5/2 +
13 2.02500 11/2 - * (l=3, beta=0.17)
14 2.12000 3/2 +
15 2.25000 7/2 +
16 2.25410 1/2 +
17 2.28500 3/2 +
18 2.31700 3/2 +
19 2.37224 3/2 +
------------------------------------------------
Levels above 2.38224 MeV are assumed to be continuous.
4. Level density parameters
Energy-dependent parameters of Mengoni-Nakajima /10/ were used
---------------------------------------------------
Nuclei a* Pair T E0 Ematch Elv_max
1/MeV MeV MeV MeV MeV MeV
---------------------------------------------------
Zr- 96 12.403 2.450 0.708 0.681 7.693 3.120
Zr- 95 11.637 1.231 0.686 0.201 5.420 2.372
Zr- 94 12.185 2.475 0.769 0.465 8.300 2.908
Zr- 93 12.414 1.244 0.757 -0.394 6.540 2.548
Y - 95 11.759 1.231 0.472 1.209 3.029 2.717
Y - 94 12.145 0.000 0.464 0.098 1.560 1.530
Y - 93 11.549 1.244 0.710 0.014 5.795 2.070
Sr- 93 12.762 1.244 0.611 0.270 4.990 1.563
Sr- 92 11.967 2.502 0.741 0.813 7.774 2.850
Sr- 91 12.543 1.258 0.625 0.591 4.649 4.249
---------------------------------------------------
5. Gamma-ray strength functions
M1, E2: Standard Lorentzian (SLO)
E1 : Standard Lorentzian (SLO) /11/
The position and width parameters in the E1
radiation were taken from the tabulation of
Dietrich and Berman/12/.
6. Preequilibrium process
Preequilibrium is on for n, p, d, t, He-3, and alpha.
The single particle state density parameters were
8.432, 7.640, 8.126, 7.900, 7.936, 7.612, 8.524 MeV^(-1)
for Zr-96, Zr-95, Y-95, Sr-92, Y-94, Y-93, and Sr-93.
Effects of the particle pickup (and knockout for alpha) were
estimated using the semi-empirical formulas by Kalbach/13/.
These components were multiplied by a factor of two and
added to the statistical model calculation.
Preequilibrium capture is on (the parameters were obtained
from /12/).
References
1) Y.Kikuchi et al., JAERI-Data/Code 99-025 (1999)
[in Japanese].
2) K.Shibata et al., J. Nucl. Sci. Technol. 39, 1125 (2002).
3) A.Ichihara et al., JAEA-Data/Code 2007-012 (2007).
4) A.J.Koning, J.P.Delaroche, Nucl. Phys. A713, 231 (2003).
5) J.M.Lohr, W.Haeberli, Nucl. Phys. A232, 381 (1974).
6) F.D.Becchetti,Jr., G.W.Greenlees, "Polarization
Phenomena in Nuclear Reactions," p.682, The University
of Wisconsin Press (1971).
7) O.F.Lemos, Orsay Report, Series A, No.136 (1972).
8) E.D.Arthur, P.G.Young, LA-8626-MS (1980).
9) T.Belgya et al., IAEA-TECDOC-1506 (2006).
10) A.Mengoni, Y.Nakajima, J. Nucl. Sci. Technol. 31, 151
(1994).
11) M.Brink, Ph.D thesis, Oxford University, 1955.
12) S.S.Dietrich, B.L.Berman, Atom. Data Nucl. Data Tables,
38, 199 (1988).
13) C.Kalbach, Z. Phys. A283, 401 (1977).