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Shell model description of 0 and 1 ħω states in neutron-rich N = 18 and 19 nuclei with Z = 14 to 19

Shell model description of 0 and 1 ħω states in neutron-rich N = 18 and 19 nuclei with Z = 14 to 19. M. BOUHELAL ( 1) , F. HAAS ( 2 ) , E. CAURIER (2) , F. NOWACKI (2) (1) Département des Sciences de la Matière, Université de Tébessa, Tébessa 12002, Alegria

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Shell model description of 0 and 1 ħω states in neutron-rich N = 18 and 19 nuclei with Z = 14 to 19

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  1. Shell model description of 0 and 1 ħωstates in neutron-rich N = 18 and 19 nuclei with Z = 14 to 19 M. BOUHELAL (1), F. HAAS(2), E. CAURIER(2), F. NOWACKI(2) (1)Département des Sciences de la Matière, Université de Tébessa, Tébessa 12002, Alegria (2) IPHC, CNRS/IN2P3- Université de Strasbourg, F-67037 Strasbourg Cedex 2, France 11th International Spring Seminar on Nuclear Physics, Ischia, Mai 12-16, 2014

  2. Outline • sd Shell Nuclei • PSDPF interaction • Study of the N = 18 and 19 isotones : • Energy spectra • E3 transitions in even-even isotones • Conclusion 11th International Spring Seminar on Nuclear Physics, Ischia, Mai 12-16, 2014

  3. sd Shell Nuclei : N, Z = 8 - 20 • The sd–shellNuclei • The 0 ħωstates: sd(16O) • USD(USD A/B)Wildenthal (Brown et Richter) • The 1 ħωstates : p-sd-pf ( 4He ) allowing one nucleon jump • PSDPF : in collaboration with the groupe CAN-Strasbourg • (M. Bouhelalet al., Nucl. Phys. A 864, 113, 2011) 11th International Spring Seminar on Nuclear Physics, Ischia, Mai 12-16, 2014

  4. PSDPF interaction • PSDPF has been used to describe : • N = 20 nuclei with Z = 14-16 • (M. BOUHELAL et al,Eur. Phys. J. A 42, (2009) 529) • 36S Spectrum • (M.BOUHELAL et al,AIP Conf.Proc.1165 (2009) 61) • 22Na and 23Na Spectra and EMT properties • (M. R. HAOUAM, M. BOUHELAL et al,AIP Conf.Proc.1491 (2012) 38) • Phosphorus isotopic chain • (M. BOUHELAL et al,AIP Conf.Proc.1444 (2012) 375) 11th International Spring Seminar on Nuclear Physics, Ischia, Mai 12-16, 2014

  5. PSDPF interaction • PSDPF calculations have been compared to new experimental data obtained for : • 33Si Spectrum • (Z. M. Wanget al.,Phys. Rev. C 81,(2010) 064301) • 24Mg Spectrum • (P. Marley et al., Phys. Rev. C 84, (2011) 044332) • 36Cl Spectrum • (S. Aydin et al., Phys. Rev. C 86, (2012) 024320) • Chlorine Isotopes properties • (S. Szilneret al., Phys. Rev. C 87, (2013) 054322) • Properties of the mirrors 23Na and 23Mg • (D.G. Jenkins et al., Phys. Rev. C 87, (2013) 064301) • 35S Spectrum • (S. Aydin et al., Phys. Rev. C 89, (2014) 014310) 11th International Spring Seminar on Nuclear Physics, Ischia, Mai 12-16, 2014

  6. PSDPF interaction Electromagnetic transitions properties in sd shell nuclei • γ transitions connectingpositive paritystates : M1 and E2 • new parameters obtained using USDA/B Hamiltonians • γtransitions connectingnegativeparitystates : M1 and E2 • γtransitions connectingstates withopposite parities: M2, E1 and E3 • can now be calculated using the PSDPF interaction • The relatedparameters should be fitted Study of the pure E3 transitions 3-1 0+g.s 11th International Spring Seminar on Nuclear Physics, Ischia, Mai 12-16, 2014

  7. PSDPF interaction E3 transitions in even-even sd nuclei ep=(1+δp)e and en=δne 11th International Spring Seminar on Nuclear Physics, Ischia, Mai 12-16, 2014

  8. Study of the N =18 and 19 isotones with Z = 14 – 19 : Energy spectra • RMSD = 235 keV • 32Si18 11th International Spring Seminar on Nuclear Physics, Ischia, Mai 12-16, 2014

  9. Study of the N =18 and 19 isotones with Z = 14 – 19 : Energy spectra • RMSD = 135 keV • 33Si19 11th International Spring Seminar on Nuclear Physics, Ischia, Mai 12-16, 2014

  10. Study of the N =18 and 19 isotones with Z = 14 – 19 : Energy spectra • RMSD = 143 keV • 33P18 11th International Spring Seminar on Nuclear Physics, Ischia, Mai 12-16, 2014

  11. Study of the N =18 and 19 isotones with Z = 14 – 19 : Energy spectra • RMSD = 68 keV • 34P19 11th International Spring Seminar on Nuclear Physics, Ischia, Mai 12-16, 2014

  12. Study of the N =18 and 19 isotones with Z = 14 – 19 : Energy spectra • RMSD = 181 keV • 34S18 11th International Spring Seminar on Nuclear Physics, Ischia, Mai 12-16, 2014

  13. Study of the N =18 and 19 isotones with Z = 14 – 19 : Energy spectra • RMSD = 121 keV • 35S19 11th International Spring Seminar on Nuclear Physics, Ischia, Mai 12-16, 2014

  14. Study of the N =18 and 19 isotones with Z = 14 – 19 : Energy spectra • 35Cl18 • RMSD = 211 keV 11th International Spring Seminar on Nuclear Physics, Ischia, Mai 12-16, 2014

  15. Study of the N =18 and 19 isotones with Z = 14 – 19 : Energy spectra • 36Cl19 • RMSD = 123 keV 11th International Spring Seminar on Nuclear Physics, Ischia, Mai 12-16, 2014

  16. Study of the N =18 and 19 isotones with Z = 14 – 19 : Energy spectra • 36Ar18 • RMSD = 269 keV 11th International Spring Seminar on Nuclear Physics, Ischia, Mai 12-16, 2014

  17. Study of the N =18 and 19 isotones with Z = 14 – 19 : Energy spectra • 37Ar19 and 37K18 24245 331 11th International Spring Seminar on Nuclear Physics, Ischia, Mai 12-16, 2014

  18. Study of the N =18 and 19 isotones with Z = 14 – 19 : Energy spectra • 38K19 • RMSD = 241 keV 11th International Spring Seminar on Nuclear Physics, Ischia, Mai 12-16, 2014

  19. Study of Phosphorous isotopes with A = 30 – 35 :E3 Transitions Energy of the 3- state S(E3) in (W.u.) of the 3- state : 3-1 0+g.s 11th International Spring Seminar on Nuclear Physics, Ischia, Mai 12-16, 2014

  20. Conclusion • We used our PSDPF interaction to describe the 0 and 1ħω states throughout the sdshell. • The results presented here are for N=18 and 19 isotones, for which PSDPF reproduces quite well both 0 and 1 ħω states. • The different tests made for the beginning, middle and the end of sd shell nuclei show that PSDPF gives good results at the begin and, especially, the end of the shell. • In the middle, the 1ħω states have veryfragmented (competition of p-sd and sd-pf jumps)wave functions which complicate their description. • We would like to refine our interaction in the near future using a new fitting code, developed by E. Caurier, where we can enter much more data from nuclei in the middle of sd-shell • As it was shown here, when we approach to N = 20, states with configurations more than 0p-0h and 1p-1h appear rapidly at low excitation energies. To describe them, we expect to develop the SDPF-U-Mix which allows more than one jump to the pf shell. 11th International Spring Seminar on Nuclear Physics, Ischia, Mai 12-16, 2014

  21. THANK’S FOR YOUR ATTENTION

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