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M. Girod, F.Chappert , CEA Bruyères-le-Châtel

Neutron Matter and Binding Energies with a New Gogny Force. M. Girod, F.Chappert , CEA Bruyères-le-Châtel. Purpose of our study. , r 0 =0.16 fm -3. D1S Gogny force does not reproduce the EOS for neutron matter. Fit NM with Skyrme forces: PhD E. Chabanat Sly4. Contents.

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M. Girod, F.Chappert , CEA Bruyères-le-Châtel

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  1. Neutron Matter and Binding Energies with a New Gogny Force M. Girod, F.Chappert, CEA Bruyères-le-Châtel

  2. Purpose of our study , r0=0.16 fm-3 D1S Gogny force does not reproduce the EOS for neutron matter Fit NM with Skyrme forces: PhD E. Chabanat Sly4

  3. Contents I) The fit to Neutron Matter EOS New Gogny force: D1N II) Properties of D1N in nuclei

  4. I) The fit to Neutron Matter EOS New Gogny force: D1N

  5. The Gogny force 14 parameters (Wi, Bi, Hi, Mi, mi) for i=1,2; t0, x0, a, Wls

  6. 14 parameters 14 parameters 14 equations • B.E. and radii: 16O et 90Zr G.S. properties • 2 pairing matrix elements pairing properties • 48Ca: sym=e2sN - e2sP N-P asymmetry • …………. 14 parameters determined Test of the interaction: r0 , E0, K, Esurf, meff, Esym…. ? parameter « sym » Neutron Matter  

  7. Link between the parameter symand the Neutron Matter EOS? sym=e2sN - e2sP in 48Ca

  8. Results in neutron matter: D1S, D1N Results in nuclear matter with D1N?

  9. Nuclear matter properties D1S-D1N Results in nuclei with D1N?

  10. II) Properties of D1N in nuclei 1) Pairing properties 2) Binding energies

  11. II) Properties of D1N in nuclei 1) Pairing properties

  12. Pairing properties: D1, D1S, D1N Pairing gap (Satula et al.) , A odd correlations

  13. Pairing energy in Sn isotopes

  14. Moment of Inertia in 244Pu

  15. II) Properties of D1N in nuclei 2) Binding energies

  16. D1S D1N Binding Energies: Sn isotopes DE=EHFB-Eexp ? Neutron Matter fitDrift of Binding Energies

  17. Binding Energies: more precise study

  18. D1S D1N Binding Energies: Sm isotopes DE=EHFB-Eexp

  19. Binding Energies DB=BHFB-Bexp

  20. Conclusion Aim: build a new Gogny force which fits Neutron Matter EOS D1N Properties in nuclei: I) PAIRING Same pairing properties as D1S if not better (moments of inertia) II) BINDING ENERGIES (B.E.) The drift of B.E. with N has disappeared Other calculations are being done: beyond mean-field D1N should be soon validated: D1S D1N

  21. Acknowledgements Nuclear Structure Theory group: J.F. Berger, M.Girod B.Ducomet, H.Goutte, S.Peru, N.Pillet, V.Rotival

  22. Results in neutron matter: D1S, D1N Neutron Matter EOS with Gogny forces:

  23. Pairing properties Experiment: pairing force ~ bare force (Paris, AV18, ….) Scattering lengths S=0, T=1: 18.50 fm Experimental value 13.51 fm D1 12.12 fm D1S 10.51 fm D1N

  24. Semi-empirical (Weiszäcker) mass formula Empirical values: av=-15.68, as=18.56, ac=0.717, aI=28.1 [MeV] Calculation of the coefficients (av,as,aI) with the built interaction?

  25. Pairing properties Full HFB calculation Odd A: blocking approximation is used Deviation with experiment: Blocking approximation B.E. of odd nuclei under-estimated when quasi-particle-vibration coupling present Kuo et al: few hundred keV correction

  26. Pairing properties Full HFB calculation Odd A: blocking approximation is used Deviation with experiment: Blocking approximation B.E. of odd nuclei under-estimated when quasi-particle-vibration coupling present Kuo et al: few hundred keV correction

  27. Inertia momenta in 232Th w1

  28. Inertia momenta in 232Th w1 w2 w1 w2

  29. kf kf f(rij) f(rij) Neutron Matter EOS:the variational method |F>: non interacting WF Trial wave-function: Variational procedure: f y f(rij) is varied until Evar is minimum

  30. f(rij) f(rij) y

  31. Pairing properties: D1N , A odd ~200 keV

  32. Binding Energies: D1S DB=BHFB-Bexp

  33. Binding Energies DB=BHFB-Bexp

  34. Binding Energies: D1S DB=BHFB-Bexp

  35. Binding Energies DB=BHFB-Bexp

  36. Binding Energies DB=BHFB-Bexp

  37. Results in neutron matter: D1S, D1N Neutron Matter EOS with Gogny forces:

  38. Pairing properties: D1 Pairing gap (Satula et al.) , A odd ~300 keV

  39. 1st excited states GS energy Odd nucleus correlations Corr. DEeven DEcorr ? Exp. DEodd GS even odd Beyond HFB HFB HFB Pairing properties

  40. ST sub-spaces

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