Exactly separable version of X(5) and related models

Bonatsos, Dennis; Lenis, D.; McCutchan, E. A.; Petrellis, D.; Yigitoglu, I.

doi:10.1016/j.physletb.2006.12.080

Cited by 41 publications

(63 citation statements)

References 23 publications

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“…Thus, by means of the asymptotic iteration method [10,11], we derive closed analytical expressions for the a mchabab@uca.ma b alaaeddine.lahbas@edu.uca.ma c oulne@uca.ma energy spectrum and the corresponding wave functions. Similar works exist in the literature with other potentials like the Coulomb [12], Kratzer [12], harmonic oscillator [13], Davidson [14] and Morse [15] potential. This paper is organized as follows : In Section II the asymptotic iteration method is briefly described.…”

Section: Introductionsupporting

confidence: 72%

Closed analytical solutions of Bohr Hamiltonian with Manning-Rosen potential model

Chabab

Lahbas

Oulne

2015

Int. J. Mod. Phys. E

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In the present work, we have obtained closed analytical expressions for eigenvalues and eigenfunctions of the Bohr Hamiltonian with the Manning-Rosen potential for γ−unstable nuclei as well as exactly separable rotational ones with γ ≈ 0. Some heavy nuclei with known β and γ bandheads have been fitted by using two parameters in the γ−unstable case and three parameters in the axially symmetric prolate deformed one. A good agreement with experimental data has been achieved.

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Section: Introductionsupporting

confidence: 72%

Closed analytical solutions of Bohr Hamiltonian with Manning-Rosen potential model

Chabab

Lahbas

Oulne

2015

Int. J. Mod. Phys. E

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“…Under certain approximations [51] the equation describing the dynamic deformation γ is separated from the ones associated to the rotational degrees of freedom. Recently, many papers were devoted to the study of the resulting equation for the gamma variable [52,53,54,55,56].…”

Section: Rotation About a Tilted Axismentioning

confidence: 99%

Specific features and symmetries for magnetic and chiral bands in nuclei

Râduţâ

2016

Progress in Particle and Nuclear Physics

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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

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“…Many approaches have been developed [48][49][50][51][52][53][54][55][56][57][58][59][60][61][62], mainly by Bonatsos and collaborators, that simulate critical point nuclei, or the evolution of structure near the critical point. We will not discuss these in detail here-they have been reviewed recently [63,64].…”

Section: Now Consider the Yrast Energies Of A Harmonic Vibratormentioning

confidence: 99%

“…Here the paradigms of structure, such as the symmetric rotor, the harmonic vibrator, the gamma soft rotor, E (5) and X (5), and others studied more recently [48][49][50][51][52][53][54][55][56][57][58][59][60][61][62] provide essential benchmarks that frame a given structure. The key task, if we are to understand how structure evolves in nuclei and what determines those variations, is to develop techniques to pinpoint a given structure.…”

Section: Structural Evolutionmentioning

confidence: 99%