Symmetry conserving configuration mixing method with cranked states

Borrajo, Marta; Rodrı́guez, T.; Egido, J.L.

doi:10.1016/j.physletb.2015.05.030

Cited by 74 publications

(123 citation statements)

References 38 publications

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“…3 2 ) is also predicted for 94 Se. As remarked above, a general stretching of the theoretical predictions is observed, mainly due to the privileged exploration of the ground-state energy in the present variational process without cranking states [41]. Despite the stretching, the present SCCM calculation describes rather well the trends of the experimental energies for the 2 Fig.…”

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confidence: 59%

“…In addition, only time-reversal (static) and parity symmetric intrinsic shapes were considered, i.e., cranked or octupole deformed states were not included. Therefore, a systematic stretching of the levels with respect to the experimental values is expected [41] and negative parity bands cannot be described. We note that in the (p,2p) reactions studied in this paper, direct population of negative parity states requires proton knockout from the g 9/2 orbital.…”

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confidence: 98%

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Low-lying structure and shape evolution in neutron-rich Se isotopes

Chen¹,

Doornenbal²,

Obertelli

et al. 2017

Phys. Rev. C

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Neutron-rich 88,90,92,94 Se isotopes were studied via in-beam γ -ray spectroscopy after nucleon removal reactions at intermediate energies at the Radioactive Isotope Beam Factory. Based on γ -γ coincidence analysis, low-lying excitation level schemes are proposed for these nuclei, including the 2 + 1 , 4 + 1 states and 2 + 2 states at remarkably low energies. The low-lying 2 + 2 states, along with other features, indicate triaxiality in these nuclei. The experimental results are in good overall agreement with self-consistent beyond-mean-field calculations based on the Gogny D1S interaction, which suggests both triaxial degree of freedom and shape coexistence playing important roles in the description of intrinsic deformations in neutron-rich Se isotopes.

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confidence: 59%

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confidence: 98%

Low-lying structure and shape evolution in neutron-rich Se isotopes

Chen¹,

Doornenbal²,

Obertelli

et al. 2017

Phys. Rev. C

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“…The dependence on the e↵ective interaction is illustrated by PCM calculations using the SLyMR0 force, a recent Skyrme parametrization [55,63]. The systematics of 2 + 1 energies are rather flat 1 Also called Symmetry-Conserving Configuration Mixing model (SCCM) [54] or projected Generator Coordinate Method (pGCM) [62].…”

Section: And This Work (Color Online)mentioning

confidence: 99%

“…0 + 1 transition. [54] with Gogny D1S interaction, PCM with Skyrme SLyMR0 [55], and MCSM calculations [40]. Experimental data are taken from [53] …”

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confidence: 99%

Are There Signatures of Harmonic Oscillator Shells Far from Stability? First Spectroscopy of Zr110

Paul¹,

Corsi²,

Obertelli³

et al. 2017

Phys. Rev. Lett.

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The first measurement of the low-lying states of the neutron-rich 110 Zr and 112 Mo was performed via in-beam -ray spectroscopy after one proton removal on hydrogen at ⇠200 MeV/nucleon. The 2 + 1 excitation energies were found at 185(11) keV in 110 Zr, and 235(7) keV in 112 Mo, while the R42=E(4 + 1 )/E(2 + 1 ) ratios are 3.1(2), close to the rigid rotor value, and 2.7(1), respectively. These results are compared to modern energy density functional based configuration mixing models using Gogny and Skyrme e↵ective interactions. We conclude that first levels of 110 Zr exhibit a rotational behavior, in agreement with previous observations of lighter zirconium isotopes as well as with the most advanced Monte Carlo Shell Model predictions. The data therefore do not support a harmonic oscillator shell stabilization scenario at Z=40 and N=70. The present data also invalidate predictions for a tetrahedral ground state symmetry in 110 Zr.Nuclei, like atoms, manifest quantized energy states that can be interpreted in terms of an underlying shell structure-a convenient but non-observable theoretical construct [1,2]. Within the classical picture, large gaps between adjacent shells give rise to particularly stable configurations whose proton and neutron numbers are traditionally called "magic" [3]. The magic numbers for stable nuclei were first successfully described by invoking a one-body square-well and spin-orbit potential [4,5]; the latter was eventually replaced by a harmonic oscillator potential with l 2 term to obtain proper angular momentum splittings [6]. However, studies of radioactive nuclei over the past decades have shown that the magic numbers are not universal across the nuclear chart [7][8][9][10]. Despite intensive e↵ort, the theoretical description of these structural changes is not yet fully understood and the mechanisms that drive structural evolution di↵er between models. Within

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“…by the variational principle. To remedy this situation, we have recently proposed to incorporate the cranking frequency as a generator coordinate [12][13][14]. The Ansatz of Eq.…”

Section: Theory and Numerical Applicationsmentioning

confidence: 99%