Characterization of the β vibration and 0<sup>+</sup><sub>2</sub>states in deformed nuclei

Garrett, P. E.

doi:10.1088/0954-3899/27/1/201

Cited by 149 publications

(133 citation statements)

References 82 publications

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“…Compared to the γ-vibrational states, overall we apparently overestimate energies and underestimate B(E2)↑'s, and do not do as good a job as with γ-vibrational sates. Reference [13] points out that "β-vibrational" states are not purely vibrational, and in many cases are better interpreted as the second member of the K π =0 + yrare rotational band. The QRPA cannot describe rotational bands and so the discrepancy between our results and experiment is not totally surprising.…”

Section: β-Vibrationsmentioning

confidence: 99%

Testing Skyrme energy-density functionals with the quasiparticle random-phase approximation in low-lying vibrational states of rare-earth nuclei

Terasaki

Engel

2011

Phys. Rev. C

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Although nuclear energy density functionals are determined primarily by fitting to ground state properties, they are often applied in nuclear astrophysics to excited states, usually through the quasiparticle random phase approximation (QRPA). Here we test the Skyrme functionals SkM * and SLy4 along with the self-consistent QRPA by calculating properties of low-lying vibrational states in a large number of well-deformed even-even rare-earth nuclei. We reproduce trends in energies and transition probabilities associated with γ-vibrational states, but our results are not perfect and indicate the presences of multi-particle-hole correlations that are not included in the QRPA. The Skyrme functional SkM * performs noticeably better than SLy4. In a few nuclei, changes in the treatment of the pairing energy functional have a significant effect. The QRPA is less successful with "β-vibrational" states than with the γ-vibrational states.

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Section: β-Vibrationsmentioning

confidence: 99%

Testing Skyrme energy-density functionals with the quasiparticle random-phase approximation in low-lying vibrational states of rare-earth nuclei

Terasaki

Engel

2011

Phys. Rev. C

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“…These are characteristic signatures of vibrational excitations. Bands 7 and 8, built on a 2 + state, are signature partners and have the characteristics of a γ -vibrational band, while band 9, built on a 0 + 2 state, is characterized as a quasi-β band, since an accurate characterization of β bands is difficult [26].…”

Section: Quadrupole Vibrational Bands and Low-k Structures In 180 Hfmentioning

confidence: 99%

Collective rotation and vibration in neutron-richHf180,182nuclei

et al. 2007

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High-spin states in neutron-rich 180 Hf and 182 Hf nuclei were populated through inelastic and transfer reactions with a 136 Xe beam incident on a thin 180 Hf target, and investigated using particle-γ coincidence techniques. New collective band structures were observed, and previously known rotational and vibrational bands in these nuclei were extended to higher angular momenta. No obvious nucleon alignment was observed in the ground state band of either nucleus up tohω = 0.43 MeV, a significant delay compared to lighter even-even Hf isotopes. Woods-Saxon cranking calculations were performed to predict the nature of the first band crossings and shape evolution in 180,182 Hf.

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“…Traditionally, the first excited K π = 0 + states and the first excited 2 + states are interpreted, respectively, as the β and γ vibrational states. While the 2 + collective excitations are better understood theoretically, the nature of the lowest 0 + excitation of deformed nuclei still remains under debate [3,4,5,6,7]. The physics of higher 0 + states is even more complex because, on one side, they can predominantly be multi-phonon states based on the single-phonons [8], and on the other side, they can be quasiparticle (qp) excitations in nature.…”

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confidence: 99%

Nature of excited0+states inGd158described by the projected shell model

et al. 2003

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Excited 0 + states are studied in the framework of the projected shell model, aiming at understanding the nature of these states in deformed nuclei in general, and the recently observed 13 excited 0 + states in 158 Gd in particular. The model, which contains projected two-and four-quasiparticle states as building blocks in the basis, is able to reproduce reasonably well the energies for all the observed 0 + states. The obtained B(E2) values however tend to suggest that these 0 + states might have a mixed nature of quasiparticle excitations coupled to collective vibrations.PACS numbers: 21.60. Cs, 23.20.Lv, 27.70.+q Dynamic perturbations of nuclear shapes around the equilibrium can give rise to physical states at low to moderate excitation energies. Classical examples of such motion are β and γ vibrations [1,2], in which nucleons undergo vibrations in a collective manner. Traditionally, the first excited K π = 0 + states and the first excited 2 + states are interpreted, respectively, as the β and γ vibrational states. While the 2 + collective excitations are better understood theoretically, the nature of the lowest 0 + excitation of deformed nuclei still remains under debate [3,4,5,6,7]. The physics of higher 0 + states is even more complex because, on one side, they can predominantly be multi-phonon states based on the single-phonons [8], and on the other side, they can be quasiparticle (qp) excitations in nature. The real situation is, perhaps, that the two aspects, collective excitations and qp states, are mixed by residual interactions.Data on K π = 0 + states have been relatively sparse. In a very recent work by Lesher et. al.[9], a remarkable (p, t) experiment revealed a total of 13 excited 0 + states in 158 Gd, below an excitation energy of approximately 3.1 MeV. This abundance of 0 + states in a single nucleus provides significant new information on the poorly understood phenomenon, which has immediately sparked off theoretical interest. For this energy range, one may think about an explanation through collective modes. In fact, Zamfir, Zhang, and Casten [10] suggested that many of the observed 0 + states may be of two-phonon octupole character. Nevertheless, these authors warned also that, although the mechanism was excluded in their collective models, many of the 0 + states in this excitation energy range may be predominantly two-qp in character.The purpose of the present paper is to investigate whether one can explain the nature of the observed 0 + states in terms of qp excitations. In contrast to Ref.[10], our calculation here does not emphasize the aspect of collective excitation. Although, similar to the work of Zamfir, Zhang, and Casten [10], we may provide only a partial image, our results may shed light on the importance of considering the qp aspects in understanding the nature of these 0 + states.Our study is based on the projected shell model (PSM)[11]. The PSM is the spherical shell model built on a deformed basis. The PSM calculation usually begins with the deformed Nilsson single-particle...

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Characterization of the β vibration and 0⁺₂states in deformed nuclei

Cited by 149 publications

References 82 publications

Testing Skyrme energy-density functionals with the quasiparticle random-phase approximation in low-lying vibrational states of rare-earth nuclei

Testing Skyrme energy-density functionals with the quasiparticle random-phase approximation in low-lying vibrational states of rare-earth nuclei

Collective rotation and vibration in neutron-richHf180,182nuclei

Nature of excited0+states inGd158described by the projected shell model

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Characterization of the β vibration and 0+2states in deformed nuclei

Cited by 149 publications

References 82 publications

Testing Skyrme energy-density functionals with the quasiparticle random-phase approximation in low-lying vibrational states of rare-earth nuclei

Testing Skyrme energy-density functionals with the quasiparticle random-phase approximation in low-lying vibrational states of rare-earth nuclei

Collective rotation and vibration in neutron-richHf180,182nuclei

Nature of excited0+states inGd158described by the projected shell model

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Characterization of the β vibration and 0⁺₂states in deformed nuclei