Intruder analog states: New classification of particle-hole excitations near closed shells

Heyde, K.; Coster, C. De; Jolie, J.; Wood, John L.

doi:10.1103/physrevc.46.541

Cited by 57 publications

(32 citation statements)

References 13 publications

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“…On the basis of intruder spin symmetry [25,26], no distinction is made between particle and hole bosons. Hence, the shell-model space that includes 0p-0h, 2p-2h, and 4p-4h shell-model excitations corresponds to a [N ] ⊕ [N + 2] ⊕ [N + 4] boson space.…”

Section: The Formalismmentioning

confidence: 99%

Configuration mixing in the neutron-deficientPb186−196isotopes

2008

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In this article we report the results of detailed interacting boson model calculations with configuration mixing for the neutron-deficient Pb isotopes. Calculated energy levels and B(E2) values for 188−196 Pb are discussed and some care is suggested concerning the current classification on the basis of level systematics of the 4 + 1 and 6 + 1 states in 190−194 Pb. Furthermore, quadrupole deformations are extracted for 186−196 Pb and the mixing between the different families (0p-0h, 2p-2h, and 4p-4h) is discussed in detail. Finally, the experimental and the theoretical level systematics are compared.

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Section: The Formalismmentioning

confidence: 99%

Configuration mixing in the neutron-deficientPb186−196isotopes

2008

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“…Neutron-deficient lead isotopes present a nice example of the shape coexistence phenomena [2]: In the 186,188 Pb nuclei, the presence of three low-lying 0 + states and other additional experimental data strongly suggests the coexistence of spherical, prolate, and oblate shapes. In the context of the nuclear shell model [6][7][8][9], the emergence of low-lying excited 0 + states is traced back to the proton particle-hole excitation across the Z = 82 closed shell. The residual interaction between protons and neutrons is enhanced due to this cross-shell excitation, resulting in the lowering of the excited 0 + states.…”

Section: Introductionmentioning

confidence: 99%

Shape coexistence in lead isotopes in the interacting boson model with a Gogny energy density functional

et al. 2012

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We investigate the emergence and evolution of shape coexistence in the neutron-deficient lead isotopes within the interacting boson model (IBM) plus configuration mixing with microscopic input based on the Gogny energy density functional (EDF). The microscopic potential-energy surface obtained from the constrained self-consistent Hartree-Fock-Bogoliubov method employing the Gogny-D1M EDF is mapped onto the coherent-state expectation value of the configuration mixing IBM Hamiltonian. In this way, the parameters of the IBM Hamiltonian are fixed for each of the three relevant configurations (spherical, prolate, and oblate) associated to the mean-field minima. Subsequent diagonalization of the Hamiltonian provides the excitation energy of the low-lying states and transition strengths among them. The model predictions for the 0 + level energies and evolving shape coexistence in the considered lead chain are consistent both with experiment and with the indications of the Gogny-EDF energy surfaces.

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“…The energy spectrum remains remarkably constant in the mass interval 178 ≤ A ≤ 186, contrasting with a different structure that shows a number of up sloping levels with increasing mass number A beyond mass A = 186. excitations [29]. On the basis of intruder spin symmetry [33,73], no distinction is made between particle and hole bosons. Hence, the model space which includes the regular proton 4h configurations and a number of valence neutrons outside of the N = 82 closed shell (corresponding to the standard IBM treatment for the Pt even-even nuclei) as well as the proton 6h-2p configurations and the same number of valence neutrons corresponds to a [N] ⊕ [N + 2] boson space (N, being the number of active protons, counting both, proton holes and particles, plus the number of valence neutrons outside the N = 126 or the N = 82 closed shell (depending on the nearest closed shell), divided by 2 as the boson number).…”

Section: The Experimental Data In the Even-even Pt Nucleimentioning

confidence: 99%

The Pt isotopes: Comparing the Interacting Boson Model with configuration mixing and the extended consistent-Q formalism

García-Ramos

Heyde²

2009

Nuclear Physics A

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The role of intruder configurations in the description of energy spectra and B(E2) values in the Pt region is analyzed. In particular, we study the differences between Interacting Boson Model calculations with or without the inclusion of intruder states in the even Pt nuclei 172−194 Pt. As a result, it shows that for the description of a subset of the existing experimental data, i.e., energy spectra and absolute B(E2) values up to an excitation energy of about 1.5 MeV, both approaches seem to be equally valid. We explain these similarities between both model spaces through an appropriate mapping. We point out the need for a more extensive comparison, encompassing a data set as broad (and complete) as possible to confront with both theoretical approaches in order to test the detailed structure of the nuclear wave functions. 21.60.Fw. PACS

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Intruder analog states: New classification of particle-hole excitations near closed shells

Cited by 57 publications

References 13 publications

Configuration mixing in the neutron-deficientPb186−196isotopes

Configuration mixing in the neutron-deficientPb186−196isotopes

Shape coexistence in lead isotopes in the interacting boson model with a Gogny energy density functional

The Pt isotopes: Comparing the Interacting Boson Model with configuration mixing and the extended consistent-Q formalism

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