Observation of a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>γ</mml:mi></mml:math>band based on a two-quasiparticle configuration in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>Ge</mml:mi><mml:mprescripts /><mml:none /><mml:mn>70</mml:mn></mml:mmultiscripts></mml:math>

Raju, M. Kumar; Rao, P. V. Madhusudhana; Muralithar, S.; Singh, R. P.; Bhat, G. H.; Sheikh, J. A.; Sugathan, P.; Reddy, T. Seshi; Rao, B. V. Thirumala; Bhowmik, R. K.

doi:10.1103/physrevc.93.034317

Cited by 9 publications

(4 citation statements)

References 39 publications

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“…Since this γ band has the same intrinsic structure as that of the parent band, both the s-bands are expected to have similar g-factors. Similar band structures were also identified in the 76−78 Ge isotopes (Raju et al, 2016).…”

Section: Projection Methods In Simple Nuclear Models a The Pairing-pl...supporting

confidence: 77%

Symmetry restoration in mean-field approaches

Sheikh,

Dobaczewski,

Ring

et al. 2019

Preprint

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The mean-field approximation based on effective interactions or density functionals plays a pivotal role in the description of finite quantum many-body systems that are too large to be treated by ab initio methods. Examples are strongly interacting atomic nuclei and mesoscopic condensed matter systems. In this approach, the linear Schrodinger equation for the exact many-body wave function is mapped onto a non-linear density-dependent one-body potential problem. This approximation, not only provides computationally very simple solutions even for systems with many particles, but due to the non-linearity, it also allows for obtaining solutions that break essential symmetries of the system, often connected with phase transitions. However, mean-field approach suffers from the drawback that the corresponding wave functions do not have sharp quantum numbers and, therefore, many results cannot be compared directly with experimental data. In this article, we discuss general group theoretical techniques to restore the broken symmetries, and provide detailed expressions on the restoration of translational, rotational, spin, isospin, parity and gauge symmetries, where the latter corresponds to the restoration of the particle number. In order to avoid the numerical complexity of exact projection techniques, various approximation methods available in the literature are examined. We present applications of the projection methods to simple nuclear models, realistic calculations in relatively small configuration spaces, nuclear energy density functional theory, as well as in other mesoscopic systems. We also discuss applications of projection techniques to quantum statistics in order to treat the averaging over restricted ensembles with fixed quantum numbers. Further, unresolved problems in the application of the symmetry restoration methods to the energy density functional theories are highlighted. CONTENTSL. Other electronic systems 60 M. Other emerging directions 60 VIII. Projected statistics 61 A. Symmetry restoration at finite temperature 62 B. Thermo-field dynamics 63 IX. Summary, conclusions, and perspectives 63 X. Acknowledgments 64 A. Overlaps and matrix elements between HFB states: the generalized Wick's theorem 65

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Section: Projection Methods In Simple Nuclear Models a The Pairing-pl...supporting

confidence: 77%

Symmetry restoration in mean-field approaches

Sheikh,

Dobaczewski,

Ring

et al. 2019

Preprint

Self Cite

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“…Besides these, γ-band built on the shape-coexisting intruder configuration is also reported at the low-spin regime in 110,112 Cd [11]. At higher angular momentum, a few more even-A nuclei including 166−172 Er, 156 Dy, 136,138 Nd, 134 Ce, 126 Ba, 124 Te, 102 Ru and 70 Ge are found to exhibit the γ-vibrational motion coupled to a rotation-aligned multi-quasiparticle configuration [12][13][14][16][17][18][19][20][21]. On the other hand, γ-band coupled to an odd-quasiparticle is also reported in several nuclei [7][8][9].…”

Section: Introductionmentioning

confidence: 65%

“…The relative excitation energy of the constituent states of the γ-band depends on both the magnitude and nature of the γ-deformation and hence can be used as a probe to study the axial asymmetry in nuclear shapes [4][5][6]. These structures are expected to be built on each quasiparticle configuration [7][8][9][10][11][12][13][14]. For instance, γ-band built on the ground-state configuration is observed in most of the deformed even-even nuclei [15].…”

Section: Introductionmentioning

confidence: 99%

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Three-quasineutron γ-band in ¹²⁷Xe

Chakraborty

Sharma

Jehangir

et al. 2023

J. Phys. G: Nucl. Part. Phys.

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Structures of negative parity multi-quasiparticle states in 127Xe have been investigated through in-beam γ-ray spectroscopy. Excited states were populated via 122Sn(9Be, 4nγ)127Xe fusion-evaporation reaction at Ebeam = 48 MeV. Two new negative parity bands have been identiﬁed and their structures have been discussed using the triaxial projected shell model (TPSM) approach. One of the bands is established above the Iπ = 27/2- state at 3702 keV and based on the experimental inferences and TPSM results, this band is interpreted as a γ-band built on a three-quasineutron conﬁguration. The second sequence, found above Iπ = 31/2- state at 4848 keV, is proposed to have a two-proton aligned conﬁguration (νh11/2 ⊗ πh11/2 2), considering the properties of this band with the neighbouring isotopes. The analysis of the TPSM wave function substantiates the proposed interpretation of this band.

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