1 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna,

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1 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015 Inelastic scattering on major actinides R. Capote (IAEA/NDS, Vienna), E. Soukhovitskii (JINER, Minsk), M. Sin (Univ. Bucharest), and A. Trkov (IAEA/NDS)

2 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015  Motivation, RPI benchmark  238 U DCCOMP + HF + HRTW +”EW” – u238-b44  235 U DCCOMP + HF + HRTW – u235-b2  New multi-band coupling DCCOMP OUTLOOK

3 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015 Motivation  High accuracy requirements were placed on inelastic cross- sections 238 U(n,inl) in the whole energy range up to 20 MeV (OECD/NEA WPEC Subgroup 26, NEA, 2008 ).  Changes in PFNS may lead to changes in evaluated inelastic cross sections which are discrepant (cf. INDC(NDS)-0597 (2012)) Physics Data  Better nuclear structure should be used in reaction calculations for heavy nuclei (beyond rigid-rotor and vibrational models)  Extended multi-band coupling needed with “consistent” coupling (i.e. able to reproduce OM observables for a given CC scheme)

4 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015 Danon et al, RPI quasi-integral benchmark U-238

5 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015 Graphite RPI benchmark (syst. uncert)

6 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015 RPI sensitivity to evaluated cross sections 238 U, 60 deg

7 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015 RPI sensitivity to evaluated cross sections 238 U, 153 deg

8 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June deg

9 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June deg

10 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015 Evaluated 238 U(n,f) vs. IAEA STD cross section

11 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015 Evaluated 238 U(n,f) vs. IAEA STD cross section raw EXFOR ratio data U8/U5, U5 std

12 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June recent relevant modelling advances  Dispersive Lane consistent coupled-channel OMPs * : neutron inelastic scattering to discrete levels;  CN-DIR interference effects (as predicted by Moldauer);  neutron inelastic scattering to the continuum;  improved fission formalism (descriptive capability) * J.M. Quesada et al., EPJ Web of Conferences (2013) J.M. Quesada et al., ND2013 conference Nuclear Data Sheets 108 (2007) 2655

13 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015 Evaluated 238 U(n,f) ib44 (IAEA)

14 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015 Impact of CN-DIR interference (EW transf.) Suggested Capote et al, ND2013 Confirmed Kawano et al, Varenna 2015

15 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015 Differences in the maximum: 238 U(n,inl)

16 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015 Differences: 235 U(n,inl) Impact on fast assemblies Impact on thermal assemblies 235 U ib2 – rr OMP

17 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015 Impact of 235 U DCC multi-band coupling

18 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015 NEW DCCOMP Multi-band coupling Odd and even-even targets

19 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015 Lane consistent nucleon dispersive OMP Coupled: levels of the ground state band/excited bands Coupling models: Rigid rotor, soft rotor, vibro-rotational model

20 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015 Expanded coupling scheme Soft (non-axial) rotor (even-even nuclides) Yu.V.Porodzinkij and E. Soukhovitskii, Phys. At. Nuclei 59 (1996) V.M. Maslov et al., J. Nucl. Sc.Tech. Supl.2 (2002) CHALLENGE: Derive a dispersive coupled channel potential (Lane consistent) with multiple-band coupling scheme valid for even-even and odd actinides D.W.Chan et al, PRC26 (1982) 841; PRC26 (1982) 861. E.Sheldon. L.E.Beghian, D.W.Chan et al, J.Phys.G:Nucl. Phys. 12, 443 (1986). T. Kawano, N. Fujikawa and Y. Kanda, INDC(JPN)-169 (1993) JENDL-3.2 Vibrational-rotational model (even-even nuclides)

21 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015 Nuclear shape parameterization A.Bohr, Mat. Fys. Medd. Dan. Vid. Selsk. 26, No. 14 (1952): Body-fixed frame aligned with principal axes:          P.O. Lipas and J.P. Davidson, Nucl. Phys. 26, (1961): Octupolar vibrations with even projection better describe low-lying negative parity states          =>  ±2 Rigid rotor + dynamical corrections Small param.

22 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015 Optical model potential

23 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015 Even-Even Nucleus Selection rules:  n   ±  : vibrational rule; next spin rules Intraband transitions: Quadrupolar-GS: Octupolar-GS:  

24 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015 Rigid rotor with soft-rotor (vibr.) corrections U-238 (similar for 232 Th) Yu.V.Porodzinkij and E. Soukhovitkii, Phys. At. Nuclei 59 (1996) (+8.4%) (+6.0%) ~J(J+1) rigid   non-axial octupole OMP with multiple band coupling gsb

25 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June U (CC)

26 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015 Nuclear shape parameterization-odd   Intraband transitions: Interband-transitions: Spin selection rules

27 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015  ’=-1     ’=-1    isomer Ground state rigid rotor  ’=-1    235 U (not coupled bands) K  =1/2+ K  =5/2+ K  =7/2-

28 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015  ’=+1    non-axial  ’=-1    axial  ’=-1    non-axial 235 U (Coupled bands) K  =3/2+K  =7/2+ K  =3/2- K  =7/2- Ground state rigid rotor

29 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June Pu (coupling scheme) GS, K  =1/2+  ’=-1    axial  ’=-1     ’=+1    non-axial

30 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015 DCC OMP LSQ fit for all “optical“ observables (n,n);(p,p);(p,n) RIPL 2408 OMP: rigid rotor R.C., S.Chiba, E.Sh. Soukhovitskii, J.M. Quesada, E. Bauge, Jnst 45 (2008) 333–340

31 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015 DCC OMP low-energy observables RIPL-3: R.C. et al, Nucl. Data Sheets 110 (2009) 3107–3214, online at Yu.V. Porodzinskij, E.Sh. Sukhovitskij and V.M. Maslov, INDC(BLR)-012, IAEA, 1997 S.F. Mughabghab, Atlas of Neutron Resonances, 5th edition, Elsevier, Amsterdam, Cross Section Evaluation Working Group 1991 Report BNL-NCS (ENDF201).

32 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015 New DCC OMP parameterization

33 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015

34 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015 Total cross section differences

35 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015

36 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015 CONCLUSIONS  New DCC OMP with multiple-band coupling derived for nucleon scattering on actinides: 233,235,238 U, 239 Pu, and 232 Th  OMP highlights: Based on dispersive relations and Lane consistent. Least-squares fit of a regional set of OMP parameters from (n,n),(p,p) & (p,n) IAS. CC couplings based on rigid rotor with dynamical corrections with derived selection rules for rotational bands built on vibrational (even-even) or single-particle band- heads (odd nuclei). Energy independent geometry. Ground state deformations close to those predicted by Nix and Moller (FRDM)

37 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015

38 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015 Dispersive relations W V

39 Roberto Capote, IAEA Nuclear Data Section Web: IAEA IAEA HQ, Vienna, Austria, June 2015 Couplings in (p,n) IAS reactions  C =1.444Z/A 1/ MeV  C ~20 MeV for actinides CC IAS Ground state