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n. n. n. CRP, 13-16 December 2011. PFNS evaluation with “scale method” NS&E 169, 290-295 (2011). Model of PNPI experiment. Results.
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n n n CRP, 13-16 December 2011
PFNS evaluation with “scale method” NS&E 169, 290-295 (2011)
Model for Prompt Fission Neutron EmissionN. Kornilov et al, ISINN-12, Dubna, 2004N. Kornilov et al, NPA 786, 2007, 55-72 I added Neutron spectra calculation now Input data • Y(A,TKE) • Level density. (Level density model should be applied to extrapolate into FF mass range) • Absorption cross section (optical model) • Energy release and binding energies (G.Audi and A.H.Wapstra) Assumptions • Neutron emission from excited, moving FF (full acceleration) • Total excitation energy U= Uh +Ul = Er-TKE • Uh and Ul from equilibrium This model = LANL model (Weisskopf assumption)
2D distribution TKE * A FF masses TKE-100, MeV
Neutron spectra from (p,n) reactions • 94Zr(p,n); Ep=8, 11 MeV (Zhuravlev et all, IPPE) • 109Ag(p,n); Ep=7, 8, 9,10 MeV (Lovchikova et all, IPPE) • 113Cd(p,n); Ep=7, 8, 9,10 MeV (Lovchikova et all, IPPE) • 124Sn(p,n); Ep=10.2, 11.2 MeV (Zhuravlev et all, IPPE) • 165Ho(p,n); Ep=11.2MeV (Zhuravlev et all, IPPE) • 181Ta(p,n); Ep=6, 7, 8, 9, 10 MeV (Lovchikova et all, IPPE)
BUT Ignatjuk’s Level Density failed for PFNS235U, thermal <E>=1.85 MeV
PFNS description contradict to experimental data from (p,n) reactions
Self-checking of experimental data • Experimental data have been analysed with assumption: Neutron emission from excited, moving FF (full acceleration) We have: ν(A), <ε>(A), Y(A), TKE=>Ew(A) for LF and HF. So we can return back and calculate ν and <E> - average neutron energy in LS.
235U “3 sources model” <Escn> = 2.38 MeV
MC simulation and experiment • There is NOT CMS=>LS transformation • E1/2 instead of E
Conclusion • Theoretical model can not describe simultaneously numerous experimental data. So, this model is wrong(>90%) in main assumption; • Many neutrons are emitted along FF direction BUT not due to “evaporation from excited, moving fragments”; • ν(TKE) is the crucial point. May be if we will explain this huge slope (~19 MeV/n instead of ~9 MeV/n) we will understand the mechanism of neutrons emission in fission; • After this we will create (may be) new model for PFNS calculation; • Until this we have in hand only “semi-empirical models” for practical application; • LS experimental spectra for different angles should be compared with model calculations directly.
Intrinsic feature CMS => LS transformation E1/2 ε1/2 μ Ew1/2 μ – LS cosine ε>Ew(1-μ2)