Projected shell model study of neutron-rich deformed isotopes of Sr and Zr

Verma, Sonia; Dar, Parvaiz Ahmad; Devi, Rani

doi:10.1103/physrevc.77.024308

Cited by 22 publications

(7 citation statements)

References 47 publications

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“…Two main mechanisms based on shell models and mean-field approaches were proposed to explain the sudden onset of large nuclear collectivity at N = 60, namely, a strong isoscalar proton-neutron interaction between particles occupying the g 9/2 -g 7/2 spin-orbit partners [12], and the occupation of low-K components of the h 11/2 neutron orbit [26,27] respectively. Besides these two factors, the simultaneous polarization of 2p 1/2 , 2p 3/2 , and 1f 5/2 proton orbits as one goes from 96 Sr to 98 Sr and from 98 Zr to 100 Zr was pointed out to be the the major factor in the more recent projected shell model study [28]. However, in most of the previous studies for nuclear low-lying states with, for instance the (projected) shell model, either a phenomenological effective interaction or effective charges for neutrons and protons defined within a specific valence space was introduced.…”

Section: Introductionmentioning

confidence: 99%

“…Besides these two factors, the simultaneous polarization of 2p 1/2 , 2p 3/2 , and 1f 5/2 proton orbits as one goes from 96 Sr to 98 Sr and from 98 Zr to 100 Zr was pointed out to be the the major factor in the more recent projected shell model study [28]. However, in most of the previous studies for nuclear low-lying states with, for instance the (projected) shell model, either a phenomenological effective interaction or effective charges for neutrons and protons defined within a specific valence space was introduced.…”

Section: Introductionmentioning

confidence: 99%

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Rapid structural change in low-lying states of neutron-rich Sr and Zr isotopes

et al. 2012

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The rapid structural change in low-lying collective excitation states of neutron-rich Sr and Zr isotopes is studied by solving a five-dimensional collective Hamiltonian with parameters determined by both relativistic mean-field and non-relativistic Skyrme-Hartree-Fock calculations using the PC-PK1 and SLy4 forces respectively. Pair correlations are treated in BCS method with either a separable pairing force or a density-dependent zero-range force. The isotope shifts, excitation energies, electric monopole and quadrupole transition strengths are calculated and compared with corresponding experimental data. The calculated results with both the PC-PK1 and SLy4 forces exhibit a picture of spherical-oblate-prolate shape transition in neutron-rich Sr and Zr isotopes. Compared with the experimental data, the PC-PK1 (or SLy4) force predicts a more moderate (or dramatic) change in most of the collective properties around N = 60. The underlying microscopic mechanism responsible for the rapid transition is discussed.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Rapid structural change in low-lying states of neutron-rich Sr and Zr isotopes

et al. 2012

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“…On the theoretical side, the shape evolution around N = 60 has been studied extensively with various theoretical models, including the phenomenological models [15,16,17,18,19,20,21,22], the interacting boson model [23], the modern shell model [24] and the self-consistent mean-field models with the Skyrme force [25,26,27], the Gogny force [28,29,30] as well as the effective relativistic Lagrangian [31]. Most of these models have shown the increasing of deformations up to N = 60 and indeed found the competing prolate and oblate minima.…”

Section: Introductionmentioning

confidence: 99%

Covariant description of shape evolution and shape coexistence in neutron-rich nuclei at

Xiang

et al. 2012

Nuclear Physics A

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The shape evolution and shape coexistence phenomena in neutron-rich nuclei at N ≈ 60, including Kr, Sr, Zr, and Mo isotopes, are studied in the covariant density functional theory (DFT) with the new parameter set PC-PK1. Pairing correlations are treated using the BCS approximation with a separable pairing force. Sharp rising in the charge radii of Sr and Zr isotopes at N = 60 is observed and shown to be related to the rapid changing in nuclear shapes. The shape evolution is moderate in neighboring Kr and Mo isotopes. Similar as the results of previous Hartree-Fock-Bogogliubov (HFB) calculations with the Gogny force, triaxiality is observed in Mo isotopes and shown to be essential to reproduce quantitatively the corresponding charge radii. In addition, the coexistence of prolate and oblate shapes is found in both 98 Sr and 100 Zr. The observed oblate and prolate minima are related to the low single-particle energy level density around the Fermi surfaces of neutron and proton respectively. Furthermore, the 5-dimensional (5D) col-

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“…This was first ascribed to the neutron-proton interactions of the spatially-overlapping spin-orbit partner orbits, πg 7/2 and νg 9/2 [2]. However, more recent calculations [3] and g-factor [4] measurements have underlined the importance of core polarisation and the influence of the low-Ω νh 11/2 orbitals.…”

Section: Introductionmentioning

confidence: 99%

Gamma-ray Spectroscopy in the Vicinity of $^{108}$Zr

Browne¹,

Bruce²,

Sumikama³

et al. 2015

Acta Phys. Pol. B

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The half-lives of 2 + 1 states were measured for 102,104 Zr and 106,108 Mo to test a new implementation of a LaBr 3 (Ce) array at the RIBF, RIKEN, Japan. The nuclei of interest were produced through the fission of a * Presented at the Zakopane Conference on Nuclear Physics "Extremes of the Nuclear Landscape", Zakopane, Poland, August 31-September 7, 2014.(721)722 F. Browne et al. 345MeV/nucleon 238 U beam and selected by the BigRIPS separator. Fission fragments were implanted into the WAS3ABi active stopper, surrounding which, 18 LaBr 3 (Ce) detectors provided fast γ-ray detection. Timing between the LaBr 3 (Ce) array and plastic scintillators allowed for the measurement of half-lives of low-lying states. The preliminary results, which agree with literature values, are presented along with experimental details.

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Projected shell model study of neutron-rich deformed isotopes of Sr and Zr

Cited by 22 publications

References 47 publications

Rapid structural change in low-lying states of neutron-rich Sr and Zr isotopes

Rapid structural change in low-lying states of neutron-rich Sr and Zr isotopes

Covariant description of shape evolution and shape coexistence in neutron-rich nuclei at

Gamma-ray Spectroscopy in the Vicinity of $^{108}$Zr

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