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Giant resonances and inertia parameters Within the QRPA with the Gogny force in axial symmetry.

Giant resonances and inertia parameters Within the QRPA with the Gogny force in axial symmetry. S.P É RU , J.F. Berger , M. Girod, H. Goutte, N. Pillet. CEA Bruyères-le-Châtel, France sophie.peru-desenfants @cea.fr. Previous work,. HF+RPA calculations in spherical symmetry

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Giant resonances and inertia parameters Within the QRPA with the Gogny force in axial symmetry.

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  1. Giant resonances and inertia parameters Within the QRPA with the Gogny force in axial symmetry. S.PÉRU, J.F. Berger, M. Girod, H. Goutte, N. Pillet. CEA Bruyères-le-Châtel, France sophie.peru-desenfants@cea.fr

  2. Previous work, HF+RPA calculations in spherical symmetry for exotic nuclei : 78Ni 100Sn 132Sn 208Pb is taken as a reference

  3. The Coulomb term is important for the dipole response. But it is time computer consuming. The Spin-Orbit term can not be neglected. The calculation is relatively fast.

  4. HFB+QRPA in axial Symmetry Spherical nuclei: 2+1 in O isotopes GMR in 90Zr Deformed nuclei : 24Mg 22Mg 28 Si Inertia parameters : Quadrupole “mass”

  5. Formalism 1°HF+RPA 2°HFB+QRPA b are quasi-particules states (qp). In our approach The effective interactionD1Sis used both in the mean field and in the QRPA matrix. As the axial symmetry is imposed, QRPA state are obtained by Kblocs.

  6. 16O AxialQRPA Spherical RPA

  7. Skyrme results from E.Kahn and Nguyen Van Giai, Phys. Lett.B 472 (2000)253.

  8. 10 15 20 25 M1 / M0 = 17.89 ± 0.20 MeV D.H.Younblood,H.L.Clark, and Y.-W.Lui, Phys. Rev. Lett.82 ,4 (1999) M1 / M0 = 17.65 MeV

  9. Restoration of rotational symmetry for deformed states We want to calculate: for all QRPA states (K ≤ J) For example : Jπ = 2+ In intrinsic frame Using rotational approximation and relation for 3j symbol

  10. 24Mgβ=.51 Jπ=2+

  11. Quadrupole [9-41MeV] HFB+QRPA %EWSR=76.6 ; M1 / M0 = 17.64 MeV Exp. %EWSR= 72 ± 10; M1 / M0=16.9 ± 0.6 MeV Exp. : D.H. Youngblood, Y.-W. Lui, and H.L. Clark, Phys.Rev.C 60 (1999)014304

  12. 24Mg ISGMR %EWSR=72 ± 10 M1 / M0=21.0 ± 0.6 MeV [9-41 Mev] %EWSR = 94 M1 / M0= 20.47 MeV D.H. Youngblood, Y.-W. Lui, and H.L. Clark, Phys.Rev.C 60 (1999) 014304

  13. Quadrupole [13-30meV] : 82%EWSR, M1 / M0 = 18.72 MeV

  14. Monopole [13-40 MeV] : 92%EWSR, M1 / M0=20.86 MeV

  15. 28Si Monopole D.H. Younboold, Y.-W. Lui, and H.L.Clark, Phys. Rev. C, 65,(2002) 034302 [10-35 MeV] 92% EWSR, M1 / M0 = 21.11 MeV 81 ± 10 % EWSR, M1 / M0 = 21.25 ± 0.38 MeV

  16. 28Si Quadrupole M1 /M0 =18.54 ± 0.25 MeV 68 ± 9 % EWSR D.H. Younboold, Y.-W. Lui, and H.L.Clark, Phys. Rev. C, 65, (2002) 034302 [13-35 MeV] 70% EWSR, M1 / M0 = 21.27 MeV [7-35 MeV] 71.5% EWSR, M1 / M0 = 20.49 MeV

  17. Inertia parameters ATDHF "Mass": (a) QRPA (b) Inglis-Belayev Consistent calculations CHFB and QRPA (a)=(c). (c) Constraint HFB

  18. Summary Coulomb and spin-orbit terms have to be taken into account, Effect of the pairing treatment in 2+1 states in QRPA? Relatively good agreement with experimental data for giant resonnances. Fragmented strength for monopole and quadrupole response in deformed nuclei. Inertia parameters are very different from the Inglis-Belayev ones.

  19. Gogny force P is isospin exchange operator P is spin exchange operator

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