Nuclei from the region 52&lt;Z, N&lt;80 as susceptible to the gamma-deformations

Rohoziński, S. G.; Srebrny, J.; Horbaczewska, K.

doi:10.1007/bf01668916

Cited by 55 publications

(32 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The potential energy surface (PES) calculated by the macroscopic-microscopic method [17] shows a very weak dependence on Vdeformation. These calculations reveal a tendency to strong coupling between v-vibrations and rotation [18] and that a very important role is played by the v-dependence of the kinetic energy part of the collective Hamiltonian [19]. This is why we used the collective model described by Dobaczewski et al [20] (model I) for calculating the energy of levels and B(E2) transition probabilities in 126Xe and 124Xe.…”

Section: Comparison With Theoretical Modelsmentioning

confidence: 99%

Study of the124Xe and126Xe structure

et al. 1978

Self Cite

View full text Add to dashboard Cite

show abstract

Section: Comparison With Theoretical Modelsmentioning

confidence: 99%

Study of the124Xe and126Xe structure

et al. 1978

Self Cite

View full text Add to dashboard Cite

show abstract

“…The wave functions are then closer to those of a nucleus of mean deformation/3o [11] than are those of the spherical harmonic vibrator. By varying the value of the parameter a, beta wave functions can be chosen with any desired vibrational fluctuations.…”

Section: Introductionmentioning

confidence: 89%

“…However, these deficiencies have been overcome in the above mentioned new version of the BM [7,8] which we refer to as the algebraic collective model (ACM). The ACM makes use of the SU(1, 1) • 0(5) dynamical symmetry of a five-dimensional extension [11,12,13] of a central force potential introduced by Davidson [14,15,16]. A valuable feature of this model is that it provides a complete basis for the BM Hilbert space as a direct sum of SU(1, 1) x 0(5) subspaces.…”

Section: Introductionmentioning

confidence: 99%

The O(6) description of the nuclear rotation

Thiamová

Rowe

2005

Czech J Phys

View full text Add to dashboard Cite

A recently developed algebraic version of the collective model has shown that a full range of Bohr model calculations can be executed in bases that range continuously from those of a spherical vibrator to a beta-vibrational Wilets-Jean limit. Thus, the establishment of close relationships between the algebraic structure of this model and the IBM is of special importance because one can learn from the complementary perspectives they afford. In this paper, we show by calculations that the familiar rotor-gamma vibrational spectra of the Bohr model can be obtained in the IBM by the addition of a scalar cubic in the quadrupole moment operators, of the type considered recently by Van Isacker, to an 0(6) Hamiltonian. Simple fits of the low-lying spectra, electromagnetic transition rates and moments of inertia of the ground and gamma bands of 162Dy and 16SEr are presented. PACS: 21.60.Ev, 21.60.Fw The relationship between the simple interacting boson model (IBM) [1] (by which we mean the so-called IBM-1 version of the model) and the Bohr model (BM) [2] was studied in Ref. [3, 4] and subsequently explored by many authors [5]. Recently, we have investigated the mappings between the related algebraic structures of the IBM and BM [6].The value of determining the explicit relationship between the two models is enhanced by the recent development of an algebraic version of the BM [7, 8] which makes it possible to execute a full range of BM calculations in bases that range continuously from those of a spherical vibrator to a beta-vibrational Wilets-Jean limit. Our objective in pursuing the relationships between these two models is to discover what can be learned about one model from the other and the extent to which the results of one model can be reproduced by the other. In Ref.[6] we show that there are mappings of IBM states into the Hilbert space of the Bohr model, based on group contractions, which define the appropriate correspondence between the states of the two models. However, different mappings are required for the different symmetry limits of the IBM. We also show that, with only minor modification, the new computational tools developed for the Bohr model can be applied also in the IBM.

show abstract

“…This potential has been used for the description of Xe-, Ce-, and Ba-isotopes by Rohozinski et al [14] where an extensive discussion of this model can be found. The potential is given as:…”

Section: Wilets-jean Potentialmentioning

confidence: 98%

A general numerical solution of collective quadrupole surface motion applied to microscopically calculated potential energy surfaces

Troltenier

Maruhn

Greiner

et al. 1992

Z. Physik A - Hadrons and Nuclei

View full text Add to dashboard Cite

We present a numerical method based on finite elements capable of solving the general Hamiltonian for quadrupole surface motion including deformation-dependent masses and moments of inertia. We illustrate the power and accuracy of this method by comparing the resulting energies, B(E2)-values, and quadrupole moments to wellknown analytical limits (Harmonic Oscillator, WiletsJean potential). We extend the deformation and spin regions accessible to previous solution methods which allows for a unified description of phenomena like, e.g., very strongly deformed states (fl0 ~ 1.5) and the usual low-energy quadrupole excitations. Finally we apply this model to the microscopically calculated potential energy surfaces of 19~ and 138U derived from the pseudo-symplectic model and calculate energies, B(E2)-, B(E4)-and quadrupole-values, comparing them to experimental data.

show abstract

Nuclei from the region 52<Z, N<80 as susceptible to the gamma-deformations

Cited by 55 publications

References 37 publications

Study of the124Xe and126Xe structure

Study of the124Xe and126Xe structure

The O(6) description of the nuclear rotation

A general numerical solution of collective quadrupole surface motion applied to microscopically calculated potential energy surfaces

Contact Info

Product

Resources

About