Modeling fission in FIFRELIN

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1 Excitation energy (MeV) Modeling fission in FIFRELIN Heavy Primary Total angular momentum 0 1E3 3E3 4E3 5E3 6E3 8E3 9E3 1E4 Olivier LITAIZE, Olivier SEROT, Léonie BERGE CEA, DEN, Cadarache F Saint-Paul-lez-Durance France P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France PAGE 1

2 Context Models in FIFRELIN Fission observables: comparison with experiments Beyond common observables Perspectives 4 NOVEMBRE 014 O. LITAIZE, P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France PAGE

3 Context Codes for simulating fission fragment de-excitation Madland-Nix LANL, USA (neutrons / PFNS + Nubar ) 198 Point-by-Point Bucharest Univ., Romania (extended MN+) ~000 GEF CENBG, France (from CN to Fiss. Obs.) ~010 CGMF LANL, USA (Fiss. Obs. / -W or -HF model) ~005 FREYA LLNL, USA (Fiss. Obs. / -W model) ~010 FIFRELIN CEA, France (Fiss. Obs. / -W or -HF model) ~010 Deterministic + Monte Carlo Monte Carlo Monte Carlo method was used at the end of the 1950 s to simulate the de-excitation of hot nuclei (high energy, high spin) : Dostrovsky et al., Phys. Rev. 111, 1659 (1958), Phys. Rev. 116, 683 (1959), Phys. Rev. 118, 781 (1960), Phys. Rev. 119, 098 (1960). Application to fission in the 1960 s 1970 s: Gordon et al. Phys. & Chem. of Fission, vol. II, 73 (1965), Gavron, Nucl. Instr. Meth. 115, 93 (1974), 99 (1974). O. LITAIZE, P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France PAGE 3

4 Context Main contributions of Monte Carlo codes Distributions, correlations between fission observables, Complete and consistent set of calculated fission observables: neutron spectra and multiplicities as well as gamma spectra and multiplicities in addition of prompt energy release, post neutron yields, CGM/F FIFRELIN GEF Point by Point FREYA O. LITAIZE, P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France PAGE 4

5 Context Models in FIFRELIN Fission observables: comparison with experiments Beyond common observables Perspectives 4 NOVEMBRE 014 O. LITAIZE, P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France PAGE 5

6 Models in FIFRELIN Definitions Prompt emission : before b - decay Prediction : By establishing the as better as possible calculation scheme (models, model 4 NOVEMBRE 014 parameters, hypothesis ) we can reproduce some given target observables (global ν L ν H quantities, e.g., ) and then look at other ones (predicting them): P(n ), P( M g ), ν (TKE), Hypothesis Binary Fission n/g/e - emission after FF full acceleration (fragments have recovered their gs deformation) NEDA ( A. Matsumoto et al., J. of Nucl. Sc. and Tech. 49, 78 (01) ) not accounted for. SN ( N. Carjan et al., Phys. Rev. C 85, (01) ) not accounted for. O. LITAIZE, P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France PAGE 6

7 P(J) Yields [%] [MeV] KE [MeV] Z Models in FIFRELIN Fission Fragment characteristics sampling 3 Nuclear Charge as a function of mass (Wahl model) 1. Mass (A). Kinetic Energy (KE) 3. Nuclear Charge (Z) 4. Spin, Parity (J p ) 5. Excitation Energy (E*) can be reconstructed from a set of fission mode parameters (MM-RNR) Pre-neutron kinetic energy distributions as function of mass from experiment or fission modes Nuclear Charge Polarization as a function of mass from experiment Z Z A Wahl 1988 CN CN P ( Z) gaussian EOZ, EON A Z(A) factors 1 Pre-neutron mass yields from experiment or fission modes Pre-Neutron Mass, amu IRMM Spin distribution from models P( J) A (J 1) ( J 1/ ) exp PAGE 7 O. LITAIZE, P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France J

8 Models in FIFRELIN 5 Excitation energy sharing between fragments At scission: intrinsic excitation energy + deformation energy + collective excitation After full acceleration: the rotational energy is not included in the intrinsic excitation energy TXE a sc T E E L H sc def coll TXE altl ahth Erot Erot A part of excitation energy at scission is converted in rotational energy (collective excitation) Rotating deformed Liquid Drop model E rot J ( J 1) only the intrinsic excitation energy corresponding to L TXE ( E rot E H rot is partitioned through E a * L, H L, H L, H O. LITAIZE, P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France T ) PAGE 8

9 Models in FIFRELIN * L, H E a T R T (A) = T L /T H A L = A CN - 13 A H = 13 Ignatyuk prescription a a 1W 1 e U Shell corrections, pairing, gu * * max R T A L = A H = A CN / A L = 78 A H = A CN min R T A CN / 13 A CN - 78 A H R T (A) succesfully tested by Talou et al., Phys. Rev. C 83, (011) Max R T (A H =130)? R T (Z)? R T m O. LITAIZE, P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France PAGE 9

10 Models in FIFRELIN Fission Fragment deexcitation (Weisskopf or Hauser-Feshbach models) W Weisskopf evaporation theory for neutron emission + DICEBOX like MC scheme for gamma emission ( Nuclear Realization ) Residual nuclear temperature T(A-1,Z,E*) Step by step temperature dependent neutron spectrum Neutron emission down to S n (J) = S n + E rot (J) Gamma emission : Level densities CGCM,CTM,HFB-tabulated Strength functions SLO,EGLO, QRPA (from HFB or HF+BCS) Experimental level schemes from RIPL-3 O. LITAIZE, P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France PAGE 10

11 Models in FIFRELIN Fission Fragment deexcitation (Weisskopf or Hauser-Feshbach models) HF Hauser-Feshbach statistical theory for n/g emission D. Regnier et al., Phys. Proc. 47, 47 (013) Neutron transmission coefficients from : Talys/Ecis code (Koning-Delaroche, Jeukenne-Lejeune-Mahaux OMP from RIPL-3) P n = Γ n Γ γ + Γ n Gamma transmission coefficients (as previously described) Level densities CGCM,CTM,HFB-tabulated Strength functions SLO,EGLO, QRPA (from HFB or HF+BCS) Experimental nuclear level schemes P γ = Γ γ Γ γ + Γ n NB: Experimental nuclear level schemes taken from RIPL-3 are completed with models from E cut-off up to an energy E bin corresponding to a given level density (default: MeV -1 ). E bin is the starting point for bin description. O. LITAIZE, P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France PAGE 11

12 models for J moment of inertia /h [MeV -1 ] Models in FIFRELIN 100 Free parameters of the simulation (the big 5!) b (Z UCD,A) AMEDEE rigid spheroid 0.5 x rigid spheroid Fraction (k) of the rigid spheroid moment of inertia J E rot J ( J 1) /(J) involved in the rotational energy formula Rigid spheroid : J = k X J rig. = k x Hydrodynamical system : J = k X J fluid = k x / 5 AMR ( β ) ( 9/ 8p ) AMR β From AMEDEE data base : J = J AMEDEE [ Hilaire et al. Eur. Phys. J. A33, 37 (007) ] A Initial fission fragment total angular momenta ( J 1/ ) ( J 1/ ) P( J ) exp ~ J T / ħ [ used in previous studies: Litaize et al., Phys. Proc. 31, 51 (01) ] < L >, < H > <J>(A) (A) <J>(A,E*) (A,E*) Extrema values of the temperature ratio R T (A), O. LITAIZE, P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France R T min R T max

13 (!) Calculated values may change a little from a presentation to another due to releases of the code Context Models in FIFRELIN Fission observables: comparison with experiments Beyond common observables Perspectives 4 NOVEMBRE 014 O. LITAIZE, P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France PAGE 13

14 neutron multiplicity < > (MeV) Fission Observables: comparison with experiment Average prompt neutron multiplicity as a function of pre-neutron mass Average prompt neutron energy in CM as a function of pre-neutron mass Budtz-Jorgensen 1988 Hambsch-009 Bowman ν A,5,0 <> A 3.0 FIFRELIN 1, , result mass number A FIFRELIN (-W model) 0,5 0,0 Budtz-Jorgensen FIFRELIN A FIFRELIN (-HF model) Vorobyev 004 <n L > <n H > <n> ± Cf (sf) FIFRELIN ± ± ± result FIFRELIN (-W model) O. Litaize, O. Serot, Phys. Rev. C 8, (010) O. LITAIZE P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France PAGE 14

15 gamma multiplicity M g / MeV M g / MeV Fission Observables: comparison with experiment 16 Billnert 01 (100keV, 3ns) 15 Verbinsky 1973 (140 kev, 10ns) 14 FIFRELIN (100 kev, 3ns) 13 Chyzh 01 'Bayesian' 1 Chyzh 01 'SVD' ,0 0,1 0, 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1,0 1,1 1, 1,3 1,4 1,5 8 A ,1 0,01 Prompt fission gamma spectrum N γ (E) 5 Cf (sf) Billnert 01 (100keV, 3ns) Verbinsky 1973 (140 kev, 10ns) FIFRELIN (100 kev, 3ns) Chyzh 01 'Bayesian' 7 6 1E E A 1 Schmidt-Fabian 1988 FIFRELIN M γ A O. LITAIZE P(ND) - Perspectives mass on Nuclear number Data Afor the Next Decade, october, 014, BIII, France Average prompt gamma multiplicity as a function of pre-neutron mass PAGE 15

16 <n> average gamma multiplicity Fission Observables: comparison with experiment Average prompt neutron multiplicity as a function of pre-neutron fragment mass 3,0,5,0 Maslin 1967 Nishio 1998 Batenkov 004 Vorobyev 010 CGCM/EGLO ν A Average prompt gamma multiplicity as a function of pre-neutron fragment mass 8 6 Pleasonton 197 (t=5ns E cut =90 kev) FIFRELIN (t=5ns E cut =100 kev) 1,5 4 1,0 0,5 M γ (A) 0, Neutron average quantities A 35 U(n th,f) A Gamma average quantities <n L > <n H > <n> Threshold T <M g > g/f <E g tot > (MeV) < g > MeV) Nishio ± 0.03 Oberstedt kev 5 ns 8.19 ± ± ± 0.0 FIFRELIN 1.41 ± ± ± NOVEMBRE 014 O. LITAIZE P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France FIFRELIN 100 kev 5 ns 8.04 ± ± ± PAGE 16

17 Ratio to Maxwellian (T=1.3 MeV) Fission Observables: comparison with experiment Prompt fission neutron spectrum FIFRELIN -HF (LDM) <E> MeV <n> (CGCM).10().44() (CTM) 1.891(1).444(1) (HFB).079().397() FIFRELIN -W 1.945().430(3) JEFF Micro data 1.974() Macro data.03 N ν (E) 1,7 1,6 1,5 1,4 1,3 1, 1,1 1,0 0,9 0,8 0,7 0,6 0,5 35 U(n th,f) O. LITAIZE P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France Hambsch 010 Starostov 1983 Nefedov 1983 Lajtai 1985 JEFF-3. CGCM/EGLO/KD CTM/EGLO/KD HFB/EGLO -W 0,4 0,01 0, neutron energy (MeV) PAGE 17

18 gamma / MeV gamma / MeV Fission Observables: comparison with experiment Peelle 1971 FIFRELIN Oberstedt 013 Verbinsky 1973 Prompt fission gamma spectrum ,0 0,1 0, 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1,0 1,1 1, 1,3 1,4 gamma energy (MeV) N γ (E) 10 1 Lower strength in the calculation above 6 MeV? Peelle 1971 FIFRELIN Oberstedt 013 Verbinsky 1973 Position of the structures at low energy is reproduced by the calculation 0,1 0,01 4 NOVEMBRE U(n th,f) O. LITAIZE P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France 1E gamma energy (MeV) PAGE 18

19 Gamma Spectrum [ /fission / MeV] Average Gamma Multiplicity Gamma Spectrum [ /fission / MeV] Fission Observables: comparison with experiment Average prompt gamma multiplicity as a function of pre-neutron fragment mass 39 Pu (n th,f) 10 1 Prompt fission gamma spectrum Fifrelin (=[0-infinity]) Fifrelin (=[0.140-infinity]) Pleasonton (1973) Pre Neutron Mass Threshold [kev] T [ns] M g [g/f] (A) M g <E g tot > [MeV] < g > [MeV] Verbinski ± FIFRELIN O. Serot, O. Litaize, D. Regnier, Workshop Gamma-, 4-6 sept. 013 N γ (E) O. LITAIZE P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France E-3 Verbinski 1973 FIFRELIN 1E Gamma Energy [MeV] Verbinski 1973 FIFRELIN Gamma Energy [MeV] PAGE 19

20 Context Models in FIFRELIN Fission observables: comparison with experiments Beyond common observables Perspectives 4 NOVEMBRE 014 O. LITAIZE, P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France PAGE 0

21 g / fision / MeV g/fission/mev g/fission/mev Beyond common observables M M+M1 M+M1+E M+M1+E+E1 M+M1+E+E1+unk. total 35 U(n th,f) N γ (E A, Z, XL) total + unk *. +E1 +E +M1 Resolution below 1.4 MeV: 5 kev 5 Gamma spectra - per mass - per charge - per emitting fragment - per multipolarity g energy (MeV) 1,0 M Rb 9 Rb 91 Rb 94 Rb 94 Rb 93Rb 93 Rb 93 Rb 91 Rb 9 Rb 93 Rb A=88 A=89 A=90 A=91 A=9 A=93 A=94 A=95 A=96 A=97 A=98 0,8 0,6 0,4 0, Xe14 0 0,0 0,1 0, 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1,0 1,1 1, 1,3 1,4 4 NOVEMBRE 014 g energy (MeV) O. LITAIZE P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France 0,0 0,0 0, 0,4 0,6 0,8 1,0 1, g-ray energy (MeV) PAGE 1

22 g / fission / MeV g / fission / MeV g / fission / MeV Beyond common observables Influence of the maximum half life considered in the simulation Useful for comparison with experiments (coincidence time window) 10 1,0 1 1ns 10ns 0,9 0,8 0,7 0,6 1 ns 10ns 93 Rb E level = kev T 1/ =.0 ns 0,5 0,4 0,1 0,3 0, 0,1 0,01 0,0 0,5 1,0 1,5,0,5 3,0 3,5 4,0 4,5 5,0 10 g energy (MeV) 1 0,0 0,1 0, 0,3 0,4 0,5 0,6 g energy (MeV) 1ns 10ns 0,0 0,10 0,15 0,0 0,5 0,30 0,35 g energy (MeV) Importance of the data available from nuclear structure O. LITAIZE P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France PAGE

23 g / fission / MeV Beyond common observables Sensibility of the PFGS to the initial spin distribution 35 U(n th,f) ,0 0, 0,4 0,6 0,8 1,0 1, 1,4 1,6 1,8,0,,4,6,8 3,0 g energy (MeV) <J> L = 6 <J> L = 9 Increasing the initial spin of FF increases the PFGS in the low energy range (below 1 MeV). 4 NOVEMBRE 014 O. LITAIZE P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France PAGE 3

24 PFGS (g/fission/mev) Beyond common observables 35 U(n th,f) CGCM/EGLO HFB/HF+BCS+QRPA Differential spectra & multiplicities ,0 0,1 0, 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1,0 1,1 1, 1,3 1,4 gamma energy (MeV) Noticeable difference observed between two models (among others) below 00 kev 4 NOVEMBRE 014 O. LITAIZE P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France PAGE 4

25 Average prompt gamma multiplicity Average prompt gamma multiplicity Beyond common observables The responsible could have a mass around 93 7,0 6,5 6,0 5,5 5,0 4,5 4,0 3,5 3,0,5,0 1,5 A~93 CGCM/EGLO HFB/HF+BCS+QRPA 1, pre-neutron mass (A) M g U(n th,f) Rb Kr Sr CGCM/EGLO HFB/HF+BCS+QRPA Sn nuclear charge Z Differential spectra & mutiplicities (Z) M g Te Remember that due to neutron emission, the mass shown here is not the mass of the g-emitter The responsible could be Kr, Rb or Sr 4 NOVEMBRE 014 O. LITAIZE P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France PAGE 5

26 strength function (mb/mev) photon strength function (mb/mev) g / fission / MeV g / fission / MeV 35 U(n th,f) Beyond common observables 0,7 CGCM/EGLO HFB/HF+BCS+QRPA 0,7 CGCM/EGLO HFB/HF+BCS+QRPA 0,6 93 Rb 0,6 95 Rb 0,5 0,5 0,4 0,4 0,3 0, 0,3 0, Not this one! 0,1 0,1 0,0 0,0 0,1 0, 0,3 This guy may be potentially guilty 4 NOVEMBRE 014 gamma energy (MeV) ,1 0,01 1E-3 1E-4 1E-5 1E-6 1E-7 1E-8 1E-9 1E-10 EGLO from systematics HF+BCS+QRPA HFB+QRPA 1E-11 0, Energy (MeV) 93 Rb 0,0 0,0 0,1 0, 0,3 gamma energy (MeV) 1E-7 0, Experiment could help to choose between those two models. Theory could explain why. O. LITAIZE P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France ,1 0,01 1E-3 1E-4 1E-5 1E-6 EGLO from systematics HF+BCS+QRPA HFB+QRPA energy (MeV) 95 Rb PSF: no LD: yes PAGE 6

27 post neutron yield post neutron yield Beyond common observables Isotopic yields Y(A,Z) 35 U(n th,f) A post Zn 30 Ga 31 Ge 3 As 33 Se 34 Br 35 Kr 36 Rb 37 Sr 38 Y 39 Zr 40 Nb 41 Mo 4 Tc 43 Ru 44 Rh 45 Pd 46 0,01 1E-3 1E-4 1E A post A 46 Pd 47 Ag 48 Cd 49 In 50 Sn 51 Sb 5 Te 53 I 54 Xe 55 Cs 56 Ba 57 La 58 Ce 59 Pr Around 400 nuclei calculated 4 NOVEMBRE 014 O. LITAIZE P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France PAGE 7

28 Introduction Models in FIFRELIN Fission observables: comparison with experiments Beyond common observables Perspectives 4 NOVEMBRE 014 O. LITAIZE, P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France PAGE 8

29 Perspectives Ongoing work Fission modes, Excitation energy sharing at scission, Multiple chance fission, Scission neutrons, Fission Level Density, spin cut-off, Photon strenght functions, Neutron transmission coefficients, Nuclear structure Global scope Weisskopf / Hauser-Feshbach deexcitation models, Parallel computing Coupling codes, extended application area (detection, transport in reactors, heating, ) 4 NOVEMBRE 014 O. LITAIZE, P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France PAGE 9

30 Isomeric ratio (%) Perspectives Isomeric ratio calculations 15 Eu after thermal neutron capture Eu (J p = 3 + ) FIFRELIN Exp. [1] (IR res =( )%) Exp. [1] (IR th =35.9 %) [1] X. Ledoux et al., Eur. Phys. J. A 7, 59 (006) CIRENE measurements Calculation: IR th = 0.1% EGLO SLO HF BCS + QRPA HFB + QRPA Experimental precision not sufficient. What about new facilities? 30 CGCM CTM HFB CGCM CTM HFB CGCM level density model CTM HFB CGCM CTM HFB -- <IR>=37.0 <IR>=36.5 <IR>=36.6 <IR>=36.9 Less sensitive to PSF Sensitive to LD 4 NOVEMBRE 014 O. LITAIZE P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France PAGE 30

31 Excitation energy (MeV) Perspectives Isomeric ratio and level population calculations Calculate a matrix of isomeric ratio in a [ J, E*, p] ensemble Simulation of fission gives Spin distribution after neutron emission P(J) and excitation energy after neutron emission P(E*) Heavy Primary Total angular momentum 0 1E3 3E3 4E3 5E3 6E3 8E3 9E3 1E4 Could be used to estimate isomeric ratio in fission and to select the optimal distribution. Find the best spin distribution that allows to reproduce fine observables: Yields of specific fragment pairs (Kr-Ba, ), Population of well known + states of even even nuclei (from EXILL campaign and FIPPS in a near future). CEA/DEN - CEA/DSM CNRS/LPSC collaboration 4 NOVEMBRE 014 O. LITAIZE P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France PAGE 31

32 Perspectives Improve Modeling Using tabulated microscopic ingredients - HFB +QRPA compared to SLO, EGLO, MLO a clash of clans? not sure. Accounting for energy partition at scission from microscopic calculations provided by SPY code (PES + HFB D1S) to estimate the energy available for particle emission Panebianco et al., Phys. Rev. C, (01). 4 NOVEMBRE 014 O. LITAIZE P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France PAGE 3

33 Perspectives Input / Output Today Next decade? Mass and Kinetic Energy distributions before neutron emission Reconstructed from experimental post neutron distributions, Calculated from fission mode parameters HFB calculations (CEA/DAM), Langevin equations (LANL, LLNL), Provided by GEF code (CENBG), New experimental facilities Charge distribution UCD+Z+EOZ+EON. New experimental facilities (FALSTAFF, FIPPS, SOFIA, SPIDER ). Spin distribution Various spin cut-off formula Check with PFGS, PFGM Check with isomeric ratio Check with yields of specific fragment pairs (EXILL) Excitation energy sharing R T (A) HFB from SPY code (CEA/DAM/DSM) Influence of scission neutrons De-exciation process CGCM-CTM/EGLO-SLO/KD CGCM-CTM/EGLO-SLO/KD + HFB/QRPA, deformed OMP, Observables Yield, spectrum, multiplicity from estimators Same + other from root tree, angular correlations, O. LITAIZE P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France PAGE 33

34 neutron multiplicity Yields [%] [MeV] KE [MeV] P(n) Z P(J) CN CN spectrum (/MeV) post neutron emission Yield Thank you for your attention IRMM paramètres de modes de fission A <KE> KE Pre-Neutron Mass, amu Z Z P ( Z) gaussian EOZ, EON factors A P( J) Z A Wahl 1988 A Z(A) J (J 1) ( J 1/ ) exp J P( A) P( KE) P( Z) P( J p ) AME003 RIPL-3, F I F R E L I N T L * E rigid at / 5AMR S ( J) S n P( J ) (J 1) e X, L n (1 0.31b ) (( J 1/ ) / ) a E / TH RT ( A) W a a 1 1 e * U ( ) L1 f X, L Eg ab yx, L Eg p a ( E, J ) a rot * U g mass number A 0.4 Vorobyev (004) This work n Maxwellian (T=1.4) Manhart Evaluation (1987) 0.05 This work neutron energy in Lab (MeV) n (A) p P(n ) N (E) ( g ) M (A) post g < TKE > JEFF Data Fifrelin mass number A Y (A)... n p M g MF 1 MT 456 MF 5 MT 18 MF 15 MT 18 MF 1 MT 18 MF 1 MT 458 MF 8 MT 454 k eff O. LITAIZE, P(ND) - Perspectives on Nuclear Data for the Next Decade, october, 014, BIII, France PAGE 34

35 PAGE 35 CEA 10 AVRIL 01 Commissariat à l énergie atomique et aux énergies alternatives Centre de Cadarache Saint Paul Lez Durance T. +33 (0) F. +33 (0) Etablissement public à caractère industriel et commercial RCS Paris B Direction de l Energie Nucléaire Département d Etude des Réacteurs Service de Physique des Réacteurs et du Cycle Laboratoire d Etudes de PHysique

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