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EFF-DOC-893. Sensitivity of Activation Cross Sections of Tungsten to Nuclear Reaction Mechanisms. 1 EURATOM-MEC Fusion Association, “Horia Hulubei” National Institute for Physics & Nuclear Engineering, P.O Box MG-6, 76900 Bucharest, Romania
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EFF-DOC-893 Sensitivity of Activation Cross Sections of Tungsten to Nuclear Reaction Mechanisms • 1EURATOM-MEC Fusion Association, “Horia Hulubei” National Institute for Physics & • Nuclear Engineering, P.O Box MG-6, 76900 Bucharest, Romania • 2EURATOM-FZK/TUD Fusion Association, Technische Universität Dresden, D-01062 • Dresden, Germany • 3EURATOM-UKAEA Fusion Association, Culham Science Center, Abingdon OX143DB, • United Kingdom • 4Brookhaven National Laboratory, P.O. Box 5000, Upton, NY 11973-5000 • 5Nuclear Research and Consultancy Group NRG, P.O. Box 25, 1755 ZG Petten, • The Netherlands V. Avrigeanu1, R. Eichin2, R.A. Forrest3, H. Freiesleben2, M. Herman4, A.J. Koning5, and K. Seidel2 EFF-DOC-893, EFF/EAF Monitoring Meeting, NEA-DB, Paris, May 10-12, 2004
Outline [e.g.1, EFF-DOC-872, Nov. 2003] • Nuclear cross sections calculations • Search for appropriate optical model potentials: n+182,183,184,186W • p+ 181Ta • Compilation of the available experimental data (E<20 MeV) • Nuclear model calculations (E<20 MeV) • Comparison with all activation experimental data • Processing of model calculations results • Cross sections of all individual channels with activation data • [Benchmark experiment analysis updating • calculated-to-experimental (C/E) activity: reduced deviation from unity ] 1P. Pereslavtsev and U. Fischer, Evaluation of n+184W cross-section data for EFF up to 150 MeV EFF-DOC-893, EFF/EAF Monitoring Meeting, NEA-DB, Paris, May 10-12, 2004
Flowchart of model calculations • EMPIRE-II v.2.18 [ECIS95/SCAT2, DEGAS, MSD-TUL/MSC-H, HF] • st, sR, sCC, sabs - Tl(E) neutron deformed optical potential- p-, a- spherical optical potentials - EMPIRE-specific level density, Nmax< 40 - DEGAS [g=A/13 MeV-1, K=100 MeV3] • STAPRE-H v.2002 [SCAT2, GDH, HF]- p-, a- spherical optical potentials - BSFG, E*<Bn: (a,D) D0-, Nmax-fit a(E*), E*>Bn: Junghans/Koning/Chadwick I/Ir: 0.5(g.s.)-0.75(Bn)-1(15 MeV) - GDH [ gFGM(e), AK(p,h), fK(p,h,E,F1(l,Ei)) ] • TALYS-0.58 [Koning and Duijvestijn] EFF-DOC-893, EFF/EAF Monitoring Meeting, NEA-DB, Paris, May 10-12, 2004
Optical model potentials • Neutrons (n+182,183,184,186W):SPRT analysis (SPR added in EMPIRE-II output) • P.G. Young+ (1990) [as RIPL-2 in EMPIRE-II] (local) • J.P. Delaroche, as in NEANDC-253”U”, OECD/NEA-DB, 1989 (local) • P.G. Young, NEANDC-222”U”, OECD/NEA-DB, 1986 (global: II.B) • P.G. Young+ (1990) - modified (local) • RIPL-2/P.G. Young+ (1986) - modified (local) • Protons (p+181Ta) • R.L. Walter and P.P. Guss, Rad. Effects 92, 1079 (1986) (global) • N. Yamamuro, NDST-1988, Mito, Japan, p.489 (global) • Walter-Guss (1986) - modified (local) • Alphas • V. Avrigeanu, P.E. Hodgson, M. Avrigeanu, Phys.Rev.C 49,2137(1994) (global) EFF-DOC-893, EFF/EAF Monitoring Meeting, NEA-DB, Paris, May 10-12, 2004
Optical model parameters used to describe the scattering of neutrons on W isotopes, and the corresponding absorption cross section for the element W at the incident neutron energy E=14.1 MeV EFF-DOC-893, EFF/EAF Monitoring Meeting, NEA-DB, Paris, May 10-12, 2004
Comparison of experimental and calculated neutron scattering parameters of 182,184,186W EFF-DOC-893, EFF/EAF Monitoring Meeting, NEA-DB, Paris, May 10-12, 2004
Comparison of calculated and experimental neutron total cross sections for 182,183,184,186W isotopes with emphasis of the lower energy region EFF-DOC-893, EFF/EAF Monitoring Meeting, NEA-DB, Paris, May 10-12, 2004
Comparison of calculated and experimental neutron total cross sections for 182,183,184,186W isotopes EFF-DOC-893, EFF/EAF Monitoring Meeting, NEA-DB, Paris, May 10-12, 2004
Comparison of neutron total cross sections for 182,183,184,186W isotopes calculated by using presently modified OMPs EFF-DOC-893, EFF/EAF Monitoring Meeting, NEA-DB, Paris, May 10-12, 2004
Comparison of the calculated and measured proton reaction cross sections and (p,n) reaction cross sections for 181Ta Walter-Guss (1986) - modified (local): WD=10.48-0.250E+14.94h, E<10 MeV 9.55-0.157E+14.94h, E>10 MeV aD= 0.742-0.0115E, E<20 MeV 0.512, E>20 MeV EFF-DOC-893, EFF/EAF Monitoring Meeting, NEA-DB, Paris, May 10-12, 2004
Nuclear Level Density Cumulative number of levels against excitation energy for, e.g.,178,179Hf, and corresponding prediction of the BSFG model EFF-DOC-893, EFF/EAF Monitoring Meeting, NEA-DB, Paris, May 10-12, 2004
The g-ray strength functions • Modified energy-dependent Breit-Wigner (EDBW) model28,29: fE1(Eg) • Comparison of experimental20,30 and the calculated average radiative widths • Gg0 (meV) used for normalization of fE1(Eg) capture data description 20A.V. Ignatyuk, at http://161.5.7.5/RIPL-2/resonances/ . 28D.G. Gardner and F.S. Dietrich, Report UCRL-82998, LLNL-Livermore, 1979. 29M. Avrigeanu, V. Avrigeanu, G. Cata, and M. Ivascu, Rev. Roum. Phys. 32, 837 (1987). 30R.L. Macklin, D.M. Drake, and E.D. Arthur, Nucl. Sci. Eng. 89, 98 (1983). EFF-DOC-893, EFF/EAF Monitoring Meeting, NEA-DB, Paris, May 10-12, 2004
Comparison of calculated and measured neutron capture cross sections of 180,182-184,186W isotopes EFF-DOC-893, EFF/EAF Monitoring Meeting, NEA-DB, Paris, May 10-12, 2004
Sample case of isomeric state populated by side- and continuum-decay cascade-feeding [http://tandem.nipne.ro/~vavrig/Publications/2003/papmo_1z.ps] EFF-DOC-893, EFF/EAF Monitoring Meeting, NEA-DB, Paris, May 10-12, 2004
Comparison of the measured and calculatedreaction cross sections for the target nucleus 180W Calculated values by means of the computer codes EMPIRE-II and TALYS with default global parameters (except the local OMPs) and STAPRE-H with local parameter set given in this work. EFF-DOC-893, EFF/EAF Monitoring Meeting, NEA-DB, Paris, May 10-12, 2004
Comparison of the measured and calculatedreaction cross sections for the target nucleus 182W Calculations with EMPIRE-II and TALYS, and default global parameters (except local OMPs), and STAPRE-H with local parameter set. Normalization factor of 1.078 [Vonach+, 1990] is applied to data of Frehaut+ (1980). EFF-DOC-893, EFF/EAF Monitoring Meeting, NEA-DB, Paris, May 10-12, 2004
Comparison of the measured and calculatedreaction cross sections for the target nucleus 183W Calculated values by means of the computer codes EMPIRE-II and TALYS with default global parameters (except the local OMPs) and STAPRE-H with local parameter set given in this work. EFF-DOC-893, EFF/EAF Monitoring Meeting, NEA-DB, Paris, May 10-12, 2004
Comparison of the measured and calculatedreaction cross sections for the target nucleus 184W Calculations with EMPIRE-II and TALYS, and default global parameters (except local OMPs), and STAPRE-H with local parameter set. Normalization factor of 1.078 [Vonach+, 1990] is applied to data of Frehaut+ (1980). EFF-DOC-893, EFF/EAF Monitoring Meeting, NEA-DB, Paris, May 10-12, 2004
Comparison of the measured and calculatedreaction cross sections for the target nucleus 186W Calculations with EMPIRE-II and TALYS, and default global parameters (except local OMPs), and STAPRE-H with local parameter set. Normalization factor of 1.078 [Vonach+, 1990] is applied to data of Frehaut+ (1980). EFF-DOC-893, EFF/EAF Monitoring Meeting, NEA-DB, Paris, May 10-12, 2004
Sensitivity of calculated (n,2n)reaction cross sections vs. reaction mechanisms & model parameters Calculations with EMPIRE-II and default global parameters excepting local OMPs. A normalization factor of 1.078 (Vonach+, 1990) was applied to data of Frehaut+ (1980). EFF-DOC-893, EFF/EAF Monitoring Meeting, NEA-DB, Paris, May 10-12, 2004
Sensitivity of calculated (n,p)reaction cross sections vs. reaction mechanisms & model parameters Calculations with EMPIRE-II and default global parameters excepting local OMPs. EFF-DOC-893, EFF/EAF Monitoring Meeting, NEA-DB, Paris, May 10-12, 2004
Sensitivity of calculated (n,p)reaction cross sections vs. reaction mechanism codes Calculations with EMPIRE-II and TALYS, and default global parameters (except local OMPs), and STAPRE-H with local parameter set. EFF-DOC-893, EFF/EAF Monitoring Meeting, NEA-DB, Paris, May 10-12, 2004
Conclusions • Achievements • Appropriate optical model potentials: n+182,183,184,186W • Unitary description of all activation experimental data (E<20 MeV) by using a local parameter set in STAPRE-H code • Good results of blind calculations and global parameters within EMPIRE-II and TALYS codes • Similar sensitivity of calculations vs. reaction mechanisms & model parameters • Problems • Major uncertainty of calculated isomeric cross sections: level schemes & branching ratios • (n,p)-, (n,a)-reaction excitation functions at En>15 MeV • Completion • Similar analysis for: n+180,181Ta, n+174,176,177,178,179,180Hf • Need for (n,p)-, (n,a)-reaction data at En>15 MeV (e.g., JRC/IRMM) EFF-DOC-893, EFF/EAF Monitoring Meeting, NEA-DB, Paris, May 10-12, 2004