Triaxial shape with rotation around the longest principal axis in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">Gd</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>142</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>

Carlsson, B. G.; Ragnarsson, I.; Bengtsson, R.; Lieder, E. O.; Lieder, R.M.; Pasternak, A. A.

doi:10.1103/physrevc.78.034316

Cited by 43 publications

(35 citation statements)

References 33 publications

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“…The general features of the cranked Hartree-FockBogoliubov model are discussed, for example, in [4] and the version used in this work is discussed in [7,18]. The Hamiltonian is taken as…”

Section: Cranked Nilsson-strutinsky-bogoliubov Modelmentioning

confidence: 99%

“…The solution of the cranking Hamiltonian gives rise to quasiparticle energies that depend on the cranking frequency. The quasiparticles are connected diabatically between the ω mesh points removing virtual crossings [7,18] and a specific quasiparticle excitation defines a configuration. All such configurations that are low in energy are constructed and for each of them we obtain wave functions dependent on , λ, ω, ε 2 , γ , and ε 4 .…”

Section: Cranked Nilsson-strutinsky-bogoliubov Modelmentioning

confidence: 99%

“…[7]. By varying the total energy with respect to the pairing gaps and the Fermi levels, the present CNSB model is equivalent to the solution of the number-projected HFB where the pairing gap is determined by the self-consistent * hailiang.ma@matfys.lth.se † Ingemar.Ragnarsson@matfys.lth.se iterations [6,8,9].…”

Section: Introductionmentioning

confidence: 99%

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Interpretation of the high spin states inLu161: A paired and unpaired study

Carlsson

Ragnarsson

et al. 2014

Phys. Rev. C

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A paired cranked Nilsson-Strutinsky-Bogoliubov (CNSB) model is presented, which employs the same method to calculate the liquid-drop energy and moment of inertia as the unpaired cranked Nilsson-Strutinsky (CNS) model. In the CNSB model, the energy minimization is carried out in the mesh of pairing gaps and Fermi levels λ as well as deformation parameters. The high spin states in 161 Lu are then investigated with the CNSB and CNS models. The terminating structure shows a striking similarity with these two models. Combining the CNSB and CNS models, a complete understanding of high spin structures, including the normal deformed (ND) and triaxial strongly deformed (TSD) bands and observed side bands in 161 Lu, is achieved. It appears that the only important paired crossings are the first i 13/2 neutron crossing and the first h 11/2 proton crossing. For the description of the unpaired high spin crossings, it is important to be able to distinguish between the pseudospin partners in the proton N = 4 shell, (d 5/2 ,g 7/2 ) and (d 3/2 ,s 1/2 ). The yrast bands are predicted to terminate, which explains the structure of a TSD-like band X2. A band crossing at I ≈ 36.5 for the TSD band in 161 Lu, unique within the chain of even-N Lu isotopes, is well described by the CNSB model.

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“…The general features of the cranked Hartree-FockBogoliubov model are discussed, for example, in [4] and the version used in this work is discussed in [7,18]. The Hamiltonian is taken as…”

Section: Cranked Nilsson-strutinsky-bogoliubov Modelmentioning

confidence: 99%

Section: Cranked Nilsson-strutinsky-bogoliubov Modelmentioning

confidence: 99%

See 1 more Smart Citation

Interpretation of the high spin states inLu161: A paired and unpaired study

Carlsson

Ragnarsson

et al. 2014

Phys. Rev. C

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“…This restriction is one of the major drawbacks of the method because it limits its applicability to systems where triaxiality does not play an important role. However, many exciting experimental and theoretical phenomena are closely related to the triaxial degree of freedom, for instance: the presence of γ-bands in the low lying energy spectra and γ-softness, shape coexistence and shape transitions in transitional regions [13,[15][16][17][18][19][20]; the lowering of fission barriers along the triaxial path [21][22][23]; the influence of triaxial deformation in the ground state for the mass models [24,25]; triaxiality at high spin [26][27][28]; the observation of K-bands and isomeric states in the Os region [29][30][31]; or some other exotic excitation modes such as wobbling motion and chiral bands [32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Triaxial angular momentum projection and configuration mixing calculations with the Gogny force

2010

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We present the first implementation in the (β, γ) plane of the generator coordinate method with full triaxial angular momentum and particle number projected wave functions using the Gogny force. Technical details about the performance of the method and the convergence of the results both in the symmetry restoration and the configuration mixing parts are discussed in detail. We apply the method to the study of 24 Mg, the calculated energies of excited states as well as the transition probabilities are compared to the available experimental data showing a good overall agreement. In addition, we present the RVAMPIR approach which provides a good description of the ground and gamma bands in the absence of strong mixing.

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“…In order to investigate this, preliminary calculations including pairing have been performed according to the formalism presented in Ref. [53], i.e. with particle number projection and minimization of the energy, not only in the shape degrees of freedom, but also in the pairing gap ∆ and Fermi energy λ.…”

Section: Strongly-coupled Structuresmentioning

confidence: 99%

Diverse collective excitations in159Erup to high spin

Mustafa¹,

Ollier²,

Simpson³

et al. 2011

Phys. Rev. C

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A spectroscopic investigation of the γ decays from excited states in 159 Er has been performed in order to study the changing structural properties exhibited as ultrahigh spins (I > 60h) are approached. The nucleus 159 Er was populated by the reaction 116 Cd( 48 Ca,5nγ) at a beam energy of 215 MeV and the resulting γ decays were studied using the Gammasphere spectrometer. New rotational bands and extensions to existing sequences were observed, which are discussed in terms of the cranked shell model, revealing a diverse range of quasiparticle configurations. At spins around 50h there is evidence for a change from dominant prolate collective motion at the yrast line to oblate non-collective structures via the mechanism of band termination. A possible strongly deformed triaxial band occurs at these high spins, which indicates collectivity beyond 50h. The high spin data are interpreted within the framework of cranked Nilsson-Strutinsky calculations.

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Triaxial shape with rotation around the longest principal axis inGd142

Cited by 43 publications

References 33 publications

Interpretation of the high spin states inLu161: A paired and unpaired study

Interpretation of the high spin states inLu161: A paired and unpaired study

Triaxial angular momentum projection and configuration mixing calculations with the Gogny force

Diverse collective excitations in159Erup to high spin

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