Excited states of even-A and odd-A nuclei with deformation-dependent mass parameters for the Kratzer potential

2021 ◽  
Author(s):  
M. Chabab ◽  
I. El-ilali ◽  
A. Lahbas ◽  
M. Oulne
Keyword(s):  
Experimental Data ◽  
Excited States ◽  
Transition Probabilities ◽  
Energy Spectra ◽  
Asymptotic Iteration Method ◽  
Axially Symmetric ◽  
Electromagnetic Transition ◽  
Energy Eigenvalues ◽  
Dependent Mass ◽  
Davidson Potential

The low-lying collective spectra for axially symmetric nuclei are described within the Bohr–Hamiltonian by considering deformation-dependent mass coefficients and Kratzer potential in [Formula: see text] part. The energy eigenvalues and the total wave function of the problem are obtained in compact forms by means of the asymptotic iteration method. The numerical calculations are carried out for energy spectra as well as electromagnetic transition probabilities, and compared with experimental data in both cases: within and without the deformation-dependent mass (DDM) formalism. We investigate the nuclear observables of four even-A nuclei [Formula: see text]Sm, [Formula: see text]Gd, [Formula: see text]Yb, [Formula: see text]W and two odd-A nuclei [Formula: see text]Yb, [Formula: see text]Dy. Moreover, we will show that the choice of the Kratzer potential minimizes the level spacings within the [Formula: see text] band, which are usually overestimated by Bohr–Hamiltonian with Davidson potential.

γ-rigid version of Bohr Hamiltonian with the modified Davidson potential in the position-dependent mass formalism

2017 ◽  
Vol 32 (14) ◽  
pp. 1750085 ◽  
Author(s):  
H. Hassanabadi ◽  
M. Alimohammadi ◽  
S. Zare
Keyword(s):  
Differential Equation ◽  
Experimental Data ◽  
Wave Function ◽  
Wave Equation ◽  
Standard Error ◽  
Energy Spectra ◽  
Transition Rates ◽  
Dependent Mass ◽  
Position Dependent Mass ◽  
Davidson Potential

In this paper, the wave equation corresponding to the [Formula: see text]-rigid version of Bohr Hamiltonian for the modified Davidson potential is investigated in the position-dependent mass formalism. By solving the related differential equation, the wave function, energy spectra and transition rates are obtained. In order to evaluate our results, they are compared with experimental data through the standard error.

scholarly journals Mixed Symmetry States in 92Zr and 94Mo Nuclei

2021 ◽  
Vol 66 (12) ◽  
pp. 1013
Author(s):  
S.N. Abood ◽  
A.A. Al-Rawi ◽  
L.A. Najam ◽  
F.M. Al-Jomaily
Keyword(s):  
Experimental Data ◽  
Energy Spectra ◽  
Interacting Boson Model ◽  
Transition Rates ◽  
Collective Models ◽  
Electromagnetic Transition ◽  
Mixed Symmetry ◽  
Mixed Symmetry States ◽  
Boson Model ◽  
Phonon Model

Mixed-symmetry states of 92Zr and 94Mo isotopes are investigated with the use of the collective models, Interacting Boson Model-2 (IBM-2) and Quasiparticle Phonon Model (QPM). The energy spectra and electromagnetic transition rates for these isotopes are calculated. The results of IBM-2 and QPM are compared with available experimental data. We have obtained a satisfactory agreement, and IBM-2 gives a better description. In these isotopes, we observe a few states having a mixed symmetry such as 2+2, 2+3, 3+1, and 1+s. It is found that these isotopes have a vibrational shape corresponding to the U(5) symmetry.

Study of High-spin States for 90,91,92Y Isotopes by Using Oxbash Code

2021 ◽  
Vol 14 (1) ◽  
pp. 25-33
Keyword(s):  
Experimental Data ◽  
Transition Probabilities ◽  
Energy Levels ◽  
Model Space ◽  
Low Energy ◽  
Energy Spectra ◽  
Spin States ◽  
Nuclear Shell Model ◽  
High Spin States ◽  
Nuclear Shell

Abstract: In this paper, calculations of 90,91,92Y isotopes have been performed by application of nuclear shell model in the Gloeckner (Gl) model space for two different interactions (Gloeckner (Gl) and Gloeckner pulse bare G-Matrix (Glb) using Oxbash code. The energy levels are compared and discussed with experimental data and based on our results, many predictions about spins and parity were observed between experimental states, in addition to the predictions of low-energy spectra and B (E2; ↓) and B (M1; ↓)) transitional strengths in the isotopes 90,91,92Y. These predictions were not known in the experimental data. Keywords: Energy levels, Transition probabilities, Oxbash code.

A theoretical study of energy spectra and transition probabilities of 200–204Hg isotopes in transitional region of IBM

2014 ◽  
Vol 23 (10) ◽  
pp. 1450056 ◽  
Author(s):  
H. Sabri
Keyword(s):  
Experimental Data ◽  
Theoretical Study ◽  
Transition Probabilities ◽  
Energy Spectra ◽  
Interacting Boson Model ◽  
Transitional Region ◽  
Transition Rates ◽  
Scale Factors ◽  
Boson Model ◽  
Good Agreement

In this paper, by using the SO(6) representation of eigenstates and transitional Interacting Boson Model (IBM) Hamiltonian, the evolution from prolate to oblate shapes along the chain of Hg isotopes is studied. Parameter-free (up to overall scale factors) predictions for spectra and B(E2) transition rates are found to be in good agreement with experimental data for 200–204 Hg isotopes which are supported to be located in this transitional region.

Levels of 186W from the Decay of 186Ta

1973 ◽  
Vol 51 (3) ◽  
pp. 241-256 ◽  
Author(s):  
S. C. Gujrathi ◽  
S. K. Mark
Keyword(s):  
Experimental Data ◽  
High Resolution ◽  
Excited States ◽  
Gamma Rays ◽  
Decay Scheme ◽  
Transition Probabilities ◽  
Recent Experimental Data ◽  
Particle State ◽  
Quasi Particle ◽  
Coincidence Data

Gamma rays from the decay of 10.5 min 186Ta have been studied using high resolution Ge(Li) detectors. More than 90 gamma rays have been observed. Several photo-peaks previously reported as single lines were found to be close doublets. The results of this study have been correlated with the published γ–γ coincidence data and the recent (d,d′) reaction work and a decay scheme for 186Ta has been constructed. The scheme incorporates more than 85 transitions among 23 excited states in 186W. The level at 1661 keV has been discussed in terms of a two-proton quasi-particle state arising from the Nilsson orbitals Ωπ[NnzΛ] = 7/2+[404] and 1/2+[411]. Several transition probabilities have been extracted and compared with other recent experimental data and with the calculations of Kumar and Baranger as well as with the predictions of various phenomenological models.

scholarly journals Nonrelativistic Arbitrary l-States of Quarkonium through Asymptotic Iteration Method

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Hakan Ciftci ◽  
Hasan Fatih Kisoglu
Keyword(s):  
Experimental Data ◽  
Perturbation Theory ◽  
Quantum Chromodynamics ◽  
Heavy Quark ◽  
Iteration Method ◽  
Asymptotic Iteration Method ◽  
Nonrelativistic Quantum ◽  
Energy Eigenvalues ◽  
Cornell Potential ◽  
The Masses

The energy eigenvalues with any l≠0 states and mass of heavy quark-antiquark system (quarkonium) are obtained by using Asymptotic Iteration Method in the view of nonrelativistic quantum chromodynamics, in which the quarks are considered as spinless for easiness and are bounded by Cornell potential. A semianalytical formula for energy eigenvalues and mass is achieved via the method in scope of the perturbation theory. The accuracy of this formula is checked by comparing the eigenvalues with the ones numerically obtained in this study and with exact ones in literature. Furthermore, semianalytical formula is applied to cc-, bb-, and cb- meson systems for comparing the masses with the experimental data.

scholarly journals Pairing and (9/2)n configuration in nuclei in the 208Pb region

2018 ◽  
Vol 177 ◽  
pp. 03004
Author(s):  
M. Stepanov ◽  
L. Imasheva ◽  
B. Ishkhanov ◽  
T. Tretyakova
Keyword(s):  
Experimental Data ◽  
Excited States ◽  
Ground State ◽  
Exotic Nuclei ◽  
Low Energy ◽  
Energy Spectra ◽  
Pairing Energy ◽  
Multiplet Splitting ◽  
Wide Range ◽  
Nuclear Masses

Excited states in low-energy spectra in nuclei near 208Pb are considered. The pure (j = 9/2)n configuration approximation with delta-force is used for ground state multiplet calculations. The multiplet splitting is determined by the pairing energy, which can be defined from the even-odd straggering of the nuclear masses. For the configurations with more than two valence nucleons, the seniority scheme is used. The results of the calculations agree with the experimental data for both stable and exotic nuclei within 0.06-6.16%. Due to simplicity and absence of the fitted parameters, the model can be easily applied for studies of nature of the excited states in a wide range of nuclei.

Nuclear energy excitation by Bohr Hamiltonian for triaxial nuclei using Killingbeck plus Morse potential

2018 ◽  
Vol 27 (09) ◽  
pp. 1850072 ◽  
Author(s):  
B. Tchana Mbadjoun ◽  
J. M. Ema’a Ema’a ◽  
P. Ele Abiama ◽  
G. H. Ben-Bolie ◽  
P. Owono Ateba
Keyword(s):  
Morse Potential ◽  
Nuclear Energy ◽  
Transition Probabilities ◽  
Asymptotic Iteration Method ◽  
Energy Excitation ◽  
Triaxial Deformation ◽  
Energy Eigenvalues ◽  
Present Solution ◽  
Pekeris Approximation ◽  
Exact Separation

This paper proposes an improved potential for the [Formula: see text]-part of the collective Bohr Hamiltonian, namely, a Killingbeck plus Morse potential, while the [Formula: see text]-part is solved for a triaxial deformation close to [Formula: see text]. The Asymptotic Iteration Method is used, involving the Pekeris approximation, to calculate the energy eigenvalues and the eigenfunctions after an exact separation of the Bohr Hamiltonian into its variables is achieved. The results of these calculations are applied for energy spectra of the low-lying states and for corresponding [Formula: see text] quadrupole transition probabilities of the [Formula: see text] isotopes. Moreover, the results of the present solution are compared with those of the well-known [Formula: see text] and [Formula: see text] models.

scholarly journals Relativistic spin-1 particles with position-dependent mass under the Coulomb interaction: Exact analytical solutions of the DKP equation

2013 ◽  
Vol 91 (3) ◽  
pp. 191-197 ◽  
Author(s):  
M.K. Bahar ◽  
F. Yasuk
Keyword(s):  
Coulomb Interaction ◽  
Analytical Solutions ◽  
Iteration Method ◽  
Asymptotic Iteration Method ◽  
Exact Analytical Solutions ◽  
Dkp Equation ◽  
Energy Eigenvalues ◽  
Relativistic Spin ◽  
Dependent Mass ◽  
Position Dependent Mass

The Duffin–Kemmer–Petiau equation with position-dependent mass for relativistic spin-1 particles under equal vector and scalar Coulomb interaction is studied analytically. The energy eigenvalues and corresponding eigenfunctions are obtained using the asymptotic iteration method.

The X(3) model for the modified Davidson potential in a variational approach

2017 ◽  
Vol 26 (09) ◽  
pp. 1750054 ◽  
Author(s):  
M. Alimohammadi ◽  
H. Hassanabadi
Keyword(s):  
Experimental Data ◽  
Wave Function ◽  
Wave Equation ◽  
Variational Method ◽  
Collective Behavior ◽  
Variational Approach ◽  
Energy Spectra ◽  
Transition Rates ◽  
Similar Work ◽  
Davidson Potential

In this work, we investigate the [Formula: see text]-rigid version of Bohr–Hamiltonian for the modified Davidson potential. Since the corresponding wave equation cannot be solved analytically, we apply the variational method. The related wave function, energy spectra and transition rates are determined. In order to evaluate our results, we fit the formula for the energy spectra to the available experimental data for some nuclei and compare the obtained standard error with the corresponding one in other similar work. Moreover, we study the collective behavior of these nuclei through the evolution of two quantities [Formula: see text] and [Formula: see text] in terms of number of valence nucleons.

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