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Low-energy vibrational excitations associated with the fluctuation of quadrupole deformed shapes are discussed within the frame of state-of-the-art Configuration Interaction calculations, actually performed via the Quasi-particle Vacua…

Nuclear Theory · Physics 2025-07-30 Y. Tsunoda , T. Otsuka , N. Shimizu , T. Duguet , Y. Utsuno , T. Abe

Analytical expressions of the wave functions are derived for a Bohr Hamiltonian with the Manning{Rosen potential in the cases of {\gamma}-unstable nuclei and axially symmetric prolate deformed ones with {\gamma}=0. By exploiting the results…

Nuclear Theory · Physics 2016-05-23 M. Chabab , A. El Batoul , A. Lahbas , M. Oulne

The deformation parameters beta and gamma together with the two-quasiparticle excitations are taken into account, for the first time, as coordinates within a symmetry conserving (angular momentum and particle number) generator coordinate…

Nuclear Theory · Physics 2017-02-22 Fang-Qi Chen , J. Luis Egido

A time dependent variational principle is used to dequantize a second order quadrupole boson Hamiltonian. The classical equations for the generalized coordinate and the constraint for angular momentum are quantized and then analytically…

Nuclear Theory · Physics 2015-03-14 A. A. Raduta , R. Budaca , Amand Faessler

We describe electromagnetic and favored \alpha-transitions to rotational bands in odd-mass nuclei built upon a single particle state with angular momentum projection $\Omega=\frac{1}{2}$ in the region $88 \le Z \le 98$. We use the particle…

Nuclear Theory · Physics 2016-03-23 A. Dumitrescu , D. S. Delion

Recent experimental advances have made it possible to study excited structure in superheavy nuclei. The observed states have often been interpreted as quasi-particle excitations. We show that in superheavy nuclei collective vibrations…

Nuclear Theory · Physics 2008-11-26 Yang Sun , Gui-Lu Long , Falih Al-Khudair , Javid A. Sheikh

The collective structure of atomic nuclei intermediate between spherical and quadrupole deformed structure presents challenges to theoretical understanding. However, models have recently been proposed in terms of potentials which are soft…

Nuclear Experiment · Physics 2020-01-07 M. A. Caprio

From the semi-empirical formalisms of Bohr-Mottelson, a new model, based on the effect of beta- and gamma- head energies and the variable moment of inertia, was developed to calculate the ground state rotational band of almost all deformed…

Nuclear Theory · Physics 2007-05-23 Mohamed E. Kelabi , A. Y. Ahmed , Vikram Singh

Energy levels of the four lowest bands in 160,162,164Dy and 168Er, B(E2) transition strengths between the levels, and the B(M1) strength distribution of the ground state, all calculated within the framework of pseudo-SU(3) model, are…

Nuclear Theory · Physics 2007-05-23 J. P. Draayer , G. Popa , J. G. Hirsch

We propose here a new model termed as the Differential Equation Model for the ground to first 2+ state excitation energy E2 of a given even-even nucleus, according to which the energy E2 is expressed in terms of its derivatives with respect…

Nuclear Theory · Physics 2014-05-21 R . C. Nayak , S. Pattnaik

In the framework free triaxiality model branching ratio reduced E2-transitions probabilities are studied for the full region changes of the triaxiality parameter. The variables of quadrupole deformations $\beta_2$ and $\gamma$ are dynamic.…

Nuclear Theory · Physics 2023-10-17 M. S. Nadirbekov , O. A. Bozarov , S. N. Kudiratov

The coherent state model (CSM) is extended so that three negative parity bands are treated on equal footing with three positive parity bands. The six rotational bands are generated by projecting out angular momenta and parities from three…

Nuclear Theory · Physics 2009-11-07 A. A. Raduta , D. Ionescu , Amand Faessler

A new three parameter formula is proposed for ground-state bands in even-even soft rotors or called transitional nuclei. The new formula blends those of very soft nuclei and well deformed nuclei. Especially, it is found in fact that the…

The extended coherent state model is further extended in order to describe two dipole bands of different parities. The formalism provides a consistent description of eight rotational bands. A unified description for spherical, transitional…

Nuclear Theory · Physics 2009-11-11 A. A. Raduta , Al. H. Raduta , C. M. Raduta

Energies and transition probabilities for low lying states in $^{134}$Ba and $^{104$Ru were calculated within a hybrid model.The ground and the first $2^+$ states are described alternatively as a harmonic and anharmonic vibrator states…

Nuclear Theory · Physics 2009-11-10 A. A. Raduta , A. C. Gheorghe , Amand Faessler

In this work the excited energy levels, reduced transition probabilities, $B(E2)\uparrow$, intrinsic quadrupole moments and deformation parameters have been calculated for $^{62-68}$Zn isotopes with neutrons (N=32,34,36 and 38 ). Nushellx…

Nuclear Theory · Physics 2020-07-03 Fatema. H. Obeed , Ali. K. Hasan

The structure of exotic nuclei provides valuable tests for state-of-the-art nuclear theory. In particular electromagnetic transition rates are more sensitive to aspects of nuclear forces and many-body physics than excitation energies alone.…

We present a model-independent approach to electric quadrupole transitions of deformed nuclei. Based on an effective theory for axially symmetric systems, the leading interactions with electromagnetic fields enter as minimal couplings to…

Nuclear Theory · Physics 2015-07-29 E. A. Coello Pérez , T. Papenbrock

We present an extension of the Hamiltonian of the two dimensional limit of the vibron model encompassing all possible interactions up to four-body operators. We apply this Hamiltonian to the modeling of the experimental bending spectrum of…

Chemical Physics · Physics 2021-03-17 Jamil Khalouf-Rivera , Francisco Pérez-Bernal , Miguel Carvajal

The model-free analysis of experimental data in the intensities of two-step cascades into 163Dy shows, that the basically special features of the cascade gamma-decay of its compound-state completely correspond to those observed in other…

Nuclear Experiment · Physics 2007-09-28 V. A. Khitrov , A. M. Sukhovoj , Pham Dinh Khang , Vuong Huu Tan , Nguyen Xuan Hai
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