Deformation properties of the projected spherical single particle basis

Râduţâ, A. A.; Budaca, R.

doi:10.1016/j.aop.2014.05.001

Cited by 7 publications

(14 citation statements)

References 54 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is noteworthy to make a degression concerning the particle-core subspace. We have proved in several publications that projecting the angular momentum from a spherical shell-model state of maximum m-projection times the unprojected ground-state, one can define a basis for the particle-core space which, moreover, can be also used as a single particle basis [9]. The same arguments work for the space of two particles-core states in the laboratory frame.…”

Section: Extension To a Particle-core Systemmentioning

confidence: 95%

“…In Refs. [9,12] we used alternatively the two versions for the gamma band and we found out that for some nuclei the fitting procedure yielded a better description of the data both for energies and B(E2) values, when the the choice of the asymmetric function was made. In Ref.…”

Section: Brief Review Of the Gcsmmentioning

confidence: 99%

“…In Ref. [9] it was proved that the asymmetric gamma states can be excited from the ground state by the asymmetric component of the electric quadrupole transition operator. The possibility of having two distinct phases for the collective motion in the gamma band has been also considered in Ref.…”

Section: Brief Review Of the Gcsmmentioning

confidence: 99%

“…In Ref. [9] the asymptotic behavior of both states has been considered in the intrinsic reference frame. The important results which came out are: a) the first state is a generalization of the wave functions used by the two rotor [1] and two liquid drops [17] models; b) the first state corresponds to a lower excitation energy than the second state.…”

Section: Brief Review Of the Gcsmmentioning

confidence: 99%

See 3 more Smart Citations

New type of chiral motion in even–even nuclei: the¹³⁸Nd case

Râduţâ

Raduta²,

Petrache

2016

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

View full text Add to dashboard Cite

The pheomenological Generalized Coherent State Model Hamiltonian is amended with a many body term describing a set of nucleons moving in a shell model mean-field and interacting among themselves with paring, as well as with a particle-core interaction involving a quadrupolequadrupole and a hexadecapole-hexdecapole force and a spin-spin interaction. The model Hamiltonian is treated in a restricted space consisting of the core projected states associated to the bands ground, β, γ, γ, 1 + and 1 + and two proton aligned quasiparticles coupled to the states of the ground and dipole bands. The chirally transformed particle-core states are also included.The Hamiltonian contains two terms which are not invariant to the chiral transformations relating the right-handed frame (J F , J p , J n ) and the left-handed ones (−are the angular momenta carried by fermions, proton and neutron bosons, respectively. The energies defined with the particle-core states form four chiral bands, two of them being degenerate in the present formalism. Electromagnetic properties of the chiral bands are investigated. Results are compared with the experimental data on 138 Nd.

show abstract

Section: Extension To a Particle-core Systemmentioning

confidence: 95%

Section: Brief Review Of the Gcsmmentioning

confidence: 99%

Section: Brief Review Of the Gcsmmentioning

confidence: 99%

Section: Brief Review Of the Gcsmmentioning

confidence: 99%

See 2 more Smart Citations

New type of chiral motion in even–even nuclei: the¹³⁸Nd case

Râduţâ

Raduta²,

Petrache

2016

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

View full text Add to dashboard Cite

show abstract

“…Note also that for K = 0 the rotational sequence is of the form L = 0, 2, 4, .. specific to ground and β bands, while for K > 0 associated to nonzero γ vibration quanta, it is described by the L = K, K +1, K + 2, .. rule. This treatment of the γ degree of freedom is combined with the use of the Davidson potential [32] 13) in the β equation (2.6). β 0 represents the minimum of the potential, such that when its vanishing one obtains the exactly solvable harmonic oscillator model X(5)-β 2 [30], while for β 0 → ∞ the model tends to the SU (3) limit.…”

Section: ) Withmentioning

confidence: 99%

Competing γ-rigid and γ-stable vibrations in neutron-rich Gd and Dy isotopes

Budaca

2015

Eur. Phys. J. A

Self Cite

View full text Add to dashboard Cite

An exactly separable version of the Bohr Hamiltonian which combines the γ-stable and γ-rigid axial vibration-rotation is used to describe the collective properties of few neutron rich transitional nuclei. The coupling between the two types of collective motion is managed through a rigidity parameter which also influences the geometry of the shape-phase space. While the γ-angular part of the problem associated to axially symmetric shapes is treated within the small angles approximation and the stiff γ oscillation hypothesis, the β vibration is described by means of a Davidson potential. The resulting model have three free parameters not counting the scale and was successfully applied for the description of the collective spectra for few heavier isotopes of Gd and Dy. In both cases a critical nucleus was identified through a discontinuous behavior in respect to the rigidity parameter and relevant experimental observables.

show abstract

Specific features and symmetries for magnetic and chiral bands in nuclei

Râduţâ

2016

Progress in Particle and Nuclear Physics

Self Cite

View full text Add to dashboard Cite

Magnetic and chiral bands have been a hot subject for more than twenty years. Therefore, quite large volumes of experimental data as well as theoretical descriptions have been accumulated. Although some of the formalisms are not so easy to handle, the results agree impressively well with the data. The objective of this paper is to review the actual status of both experimental and theoretical investigations. Aiming at making this material accessible to a large variety of readers, including young students and researchers, I gave some details on the schematic models which are able to unveil the main features of chirality in nuclei. Also, since most formalisms use a rigid triaxial rotor for the nuclear system's core, I devoted some space to the semi-classical description of the rigid triaxial as well as of the tilted triaxial rotor. In order to answer the question whether the chiral phenomenon is spread over the whole nuclear chart and whether it is specific only to a certain type of nuclei, odd-odd, odd-even or even-even, the current results in the mass regions of $A\sim 60,80,100,130,180,200$ are briefly described for all kinds of odd/even-odd/even systems. The chiral geometry is a sufficient condition for a system of proton-particle, neutron-hole and a triaxial rotor to have the electromagnetic properties of chiral bands. In order to prove that such geometry is not unique for generating magnetic bands with chiral features, I presented a mechanism for a new type of chiral bands. One tries to underline the fact that this rapidly developing field is very successful in pushing forward nuclear structure studies.Comment: 80 pages, 22 figure

show abstract

Deformation properties of the projected spherical single particle basis

Cited by 7 publications

References 54 publications

New type of chiral motion in even–even nuclei: the¹³⁸Nd case

New type of chiral motion in even–even nuclei: the¹³⁸Nd case

Competing γ-rigid and γ-stable vibrations in neutron-rich Gd and Dy isotopes

Specific features and symmetries for magnetic and chiral bands in nuclei

Contact Info

Product

Resources

About

Deformation properties of the projected spherical single particle basis

Cited by 7 publications

References 54 publications

New type of chiral motion in even–even nuclei: the138Nd case

New type of chiral motion in even–even nuclei: the138Nd case

Competing γ-rigid and γ-stable vibrations in neutron-rich Gd and Dy isotopes

Specific features and symmetries for magnetic and chiral bands in nuclei

Contact Info

Product

Resources

About

New type of chiral motion in even–even nuclei: the¹³⁸Nd case

New type of chiral motion in even–even nuclei: the¹³⁸Nd case