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Systematic Study of Many-Particle and Many-Hole States in the Island of Inversion

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This study investigates many-particle and many-hole states in isotopes around the Island of Inversion, focusing on odd systems at N=21, including 31Ne and 33Mg. It explores large deformations, neutron orbital coexistence, and spin-parity characteristics of various isotopes and their configurations. Theoretical frameworks utilize the AMD approach, coupled with parity projections, to analyze energy curves and configurations. Notable findings include insights into nuclear properties, including strong deformations and energy correlations between different particle-hole excitations within the N=20 and N=21 isotones.

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Systematic Study of Many-Particle and Many-Hole States in the Island of Inversion

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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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