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M. Kimura(Hokkaido)

Systematic study of the many-particle and many-hole states in and around the Island of Inversion - #N=Odd system -. M. Kimura(Hokkaido). Introduction : Island of Inversion. Island of Inversion : N ～ 20 Ne, Na, Mg isotopes Topics: large deformation, mpmh config ., shell gap quench

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M. Kimura(Hokkaido)

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  1. Systematic study of the many-particle and many-hole states in and around the Island of Inversion- #N=Odd system - M. Kimura(Hokkaido)

  2. Introduction: Island of Inversion Island of Inversion:N～20 Ne, Na, Mg isotopes Topics: large deformation, mpmhconfig., shell gap quench N=21 isotone: 31Ne(binding limit), 33Mg Topics: spin-parity, p-wave halo, neutron orbital N=21 isotone • Odd-mass(neutron) system • reveals neutron-orbital, shape • coexistence in the Island • The last neutron particle • (hole) orbital has strong • influence on nuclear properties • In N=21 isotone, 0f7/2 and 0d3/2 • orbials take part in the game Island of Inversion

  3. Theoretical Framework: AMD A-body Hamiltonian Parity projected Slater determinant Single particle wave packets Variational parameters Gogny D1S

  4. Theoretical Framework: AMD Angular momentum projection GCM Generator Coordinate: quadrupole deformation b Hill-Wheeler eq.

  5. Energy curves in and around the Island • ph configuration depends on neutron # • Relative energy between ph states depends • on the proton number The Island

  6. Spectrum of 32Mg V. Tripathi, et. al., PRC77034310(2008).

  7. Results: 0+ and 2+ states (N=20 isotones) • Strongly deformed 2p2h • takes over the ground state • Note that 0p0h, 2p2h and 4p4h • appear in the Island • 4p4h (more deformed) • also participates in. • Some experimental evidences

  8. Results: 0+ and 2+ states (Z=10,12 isotopes) • 2p2h dominates in N=20, 22 system • 4p4h (4hw)appears only in N=20 isotopes • Intermediate character of N=18 isotopes • Precursor in N=18 system

  9. Results: 1- and 3- states (N=20 isotones) • Great reduction of 3p3h energy • 1p1h is not so sensitive to the proton number

  10. Results: 1- and 3- states (Z=10,12 isotopes) • Great reduction of 1hw excitationenergy • Due to the reduction, • de-excitation is also possible in the island • Precursor in N=18 system

  11. 1p-removal from 32Al D. Miller, et.al.,Phys. Rev. C 79, 054306 (2009) Introduction: Particle Hole Config. (N=19 System) M. K. Phys.Rev. C 75, 041302 (2007) 31Mg 0p1h 1p2h 2p3h 3p4h

  12. Introduction: Spin-parity of 33Mg(N=21) • Jp= (3/2, 5/2)+ b-decays 33Na(N=22,g.s.) → 33Mg(g.s.) 33Mg(g.s.) → 33Al(N=20, g.s.) • Jp= 3/2- magnetic-moment: m=-0.7456mN 1n-removal: p3/2 S. Nummela, et. al., PRC64, 054313 (2001) V. Tripathi, et. al., PRL101,142504 (2008) D. T. Yordarov, et. al., PRL99, 212501 (2007) R. Kanungo, et. Al., PLB685, 253 (2010)

  13. Introduction: 1n Halo of 31Ne(N=21) T. Nakamura, et. al., PRL103, 262501 (2009) • 1n-Removal Exp. : Large cross section : Observed large cross section can be explained with small Sn and l=1,2 • Large Reaction cross section M. Takechi, et. al., Nucl. Phys. A 834, (2010), 412 Halo?

  14. Results: Energy Curve and PH Config. of 33Mg 33Mg 4p3h 1p0h 2p1h 3p2h 1p0h 2p1h 3p2h 4p3h

  15. Introduction: Particle Hole Config. (N=21 System) 33Mg 1p0h 2p1h 3p2h 4p3h

  16. Results: Spectrum of 33Mg • Consistent with magnetic moment exp. • AMD underestimates number of very low-lying states Sn=3.2MeV

  17. Results: b-decay and Jp assignment 33Na(4p2h) • 33Na(4p2h) feeds 4p3h config. 33Mg*(4p3h)

  18. Results: B(E2) of 33Mg • Coulomb Excitation Exp. : B.V. Pritychenko, et. al., PRC65, 061304(R) (2002). Large cross section for 485keV state • Authors assumed Jp=5/2+ for the ground state (no information was available at that time except for b-decay data that suggested positive parity) • Large cross section does not contradict to AMD (Further exp. is required.)

  19. Results: Spectrum of 31Ne • Same Jp with 33Mg, but much smaller Sn • 3/2+ is almost degenerated (Ex=120keV) Sn=250keV

  20. Summary and Plan Summary • 33Mg has negative-parity ground state with J=3/2 • AMD agrees with magnetic moment and COULEX experiments, but contradict to b-decay • b-decay of 33Na should feeds 4p3h config. of 33Mg • 31Ne also has negative-parity ground state with J=3/2 and very small Sn. J=3/2- is almost degenerated. Plans • Small Sn, but no Halo ! (fault of AMD, RGM calc. to see it) • p-n interaction dependence of level-ordering

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