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.

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.

ENERGY, OSCILLATOR STRENGTH AND HYPERFINE STRUCTURE OF THE LOW-LYING EXCITED STATES FOR Be-LIKE SYSTEM

2003 ◽  
Vol 14 (05) ◽  
pp. 549-560 ◽  
Author(s):  
FEI WANG ◽  
BINGCONG GOU ◽  
XIAOLI WU ◽  
LIHONG HAN
Keyword(s):  
Experimental Data ◽  
Wave Function ◽  
Variational Method ◽  
Hyperfine Structure ◽  
Oscillator Strength ◽  
Excited States ◽  
Oscillator Strengths ◽  
Transition Rates ◽  
Isoelectronic Sequence ◽  
Relativistic Corrections

The Rayleigh–Ritz variational method is carried out with a multiconfiguration-interaction wave function and restricted variational method to obtain the relativistic energies of the 1s22s2p 1Po , 1s22s2p 3Po , and 1s22p23P states for the beryllium-like isoelectronic sequence (Z=4–10), including the mass polarization and relativistic corrections. The oscillator strengths and transition rates are also calculated. The results are compared with other theoretical and experimental data in the literature. The hyperfine structure of the low-lying excited states for this system is also explored.

scholarly journals Mobility Enhancement in Square Quantum Wells: Symmetric Modulation of the Envelop Wave Function

2010 ◽  
Vol 20 (3) ◽  
pp. 193
Author(s):  
Doan Nhat Quang ◽  
Nguyen Huyen Tung ◽  
Nguyen Trung Hong ◽  
Tran Thi Hai
Keyword(s):  
Experimental Data ◽  
Wave Function ◽  
Low Temperature ◽  
Quantum Wells ◽  
Quantum Transport ◽  
Variational Approach ◽  
Theoretical Study ◽  
Recent Experimental Data ◽  
Carrier Distribution ◽  
Analytic Expressions

We present a theoretical study of the effects from symmetric modulation of the envelop wave function on quantum transport in square quantum wells (QWs). Within the variational approach we obtain analytic expressions for the carrier distribution and their scattering in symmetric two-side doped square QWs. Roughness-induced scattering are found significantly weaker than those in the asymmetric one-side doped counterpart. Thus, we propose symmetric modulation of the wave function as an efficient method for enhancement of the roughness-limited QW mobility. Our theory is able to well reproduce the recent experimental data about low-temperature transport of electrons and holes in two-side doped square QWs, e.g., the mobility dependence on the channel width, which have not been explained so far.

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.

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.

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.

Phase transition studies of the odd-mass 123−135Xe isotopes based on SU(1,1) algebra in IBFM

2016 ◽  
Vol 25 (08) ◽  
pp. 1650048 ◽  
Author(s):  
M. A. Jafarizadeh ◽  
N. Fouladi ◽  
M. Ghapanvari ◽  
H. Fathi
Keyword(s):  
Experimental Data ◽  
Phase Transition ◽  
Coherent State ◽  
Critical Behavior ◽  
Energy Spectra ◽  
Transition Rates ◽  
Excitation Energies ◽  
Fermion Model ◽  
Energy Surfaces ◽  
Transition Studies

In this paper, we have investigated the positive-parity states in the odd-mass transitional [Formula: see text]Xe isotopes within the framework of the interacting boson–fermion model. Two solvable extended transitional Hamiltonians which are based on SU(1,1) algebra are employed to provide an investigation of quantum phase transition (QPT) between the spherical and deformed gamma — unstable shapes along the chain of Xe isotopes. The low-states energy spectra and B(E2) values for these nuclei have been calculated and compared with the experimental data. The predicted excitation energies and B(E2) transition rates of the odd isotopes are found to agree well with the experimental data. We have also analyzed the critical behavior of even–odd Xe isotopes via Catastrophe Theory in combination with a coherent state formalism to generate energy surfaces and special isotopes which are the best candidates for the critical point are identified.

Bohr Hamiltonian of triaxial nuclei using Morse plus screened Kratzer potentials with the extended Nikiforov–Uvarov method

2021 ◽  
Author(s):  
S. Haman Adama ◽  
D. Nga Ongodo ◽  
A. Zarma ◽  
J. M. Ema’a Ema’a ◽  
P. Ele Abiama ◽  
...  
Keyword(s):  
Experimental Data ◽  
Wave Function ◽  
Energy Spectrum ◽  
Electric Quadrupole ◽  
Transition Rates ◽  
Quadrupole Transition ◽  
Electric Quadrupole Transition ◽  
Heun Functions ◽  
Uvarov Method ◽  
Theoretical Results

In this work, Bohr Hamiltonian is used to explain the behavior of triaxial nuclei. A new potential, called Morse plus screened Kratzer potential, has been developed for the [Formula: see text]-part with [Formula: see text] fixed at [Formula: see text]. The Extended Nikiforov–Uvarov method involving Confluent Heun functions is used to derive the wave function and energy expression. The electric quadrupole transition rates and energy spectrum of platinum [Formula: see text] are determined and compared with the experimental data and some theoretical results.

Bohr Hamiltonian with a four inverse power terms potential and extended Nikiforov–Uvarov method for triaxial nuclei

2019 ◽  
Vol 28 (12) ◽  
pp. 1950106
Author(s):  
D. Nga Ongodo ◽  
J. M. Ema’a Ema’a ◽  
P. Ele Abiama ◽  
G. H. Ben-Bolie
Keyword(s):  
Experimental Data ◽  
Wave Function ◽  
Harmonic Oscillator ◽  
Inverse Power ◽  
Heun Equation ◽  
Transition Rates ◽  
Atomic Nuclei ◽  
Uvarov Method ◽  
Biconfluent Heun Equation ◽  
Good Agreement

The Bohr Hamiltonian with four inverse power terms potential for the [Formula: see text]-part and a harmonic oscillator for the [Formula: see text]-part is solved. The [Formula: see text]-part has been solved using the biconfluent Heun equation. The total wave function and energy have been derived. The numerical results for energy triaxial nuclei spectra are compared with the experimental data, esM and esKM models known for [Formula: see text] atomic nuclei. These results are in overall good agreement with the experimental data. After this, the corresponding [Formula: see text] transition rates have been calculated for each nuclei of Platinum.

Solusi Persamaan Schrödinger Berbasis Panjang Minimal untuk Potensial Coulomb Termodifikasi

2018 ◽  
Vol 2 (2) ◽  
pp. 43-47
Author(s):  
A. Suparmi, C. Cari, Ina Nurhidayati
Keyword(s):  
Wave Function ◽  
Quantum Mechanics ◽  
Schrödinger Equation ◽  
Coulomb Potential ◽  
Schrodinger Equation ◽  
Minimal Length ◽  
Energy Spectra ◽  
Atomic Particle ◽  
Approximate Analytical Solutions ◽  
Radial Schrödinger Equation

Abstrak – Persamaan Schrödinger adalah salah satu topik penelitian yang yang paling sering diteliti dalam mekanika kuantum. Pada jurnal ini persamaan Schrödinger berbasis panjang minimal diaplikasikan untuk potensial Coulomb Termodifikasi. Fungsi gelombang dan spektrum energi yang dihasilkan menunjukkan kharakteristik atau tingkah laku dari partikel sub atom. Dengan menggunakan metode pendekatan hipergeometri, diperoleh solusi analitis untuk bagian radial persamaan Schrödinger berbasis panjang minimal diaplikasikan untuk potensial Coulomb Termodifikasi. Hasil yang diperoleh menunjukkan terjadi peningkatan energi yang sebanding dengan meningkatnya parameter panjang minimal dan parameter potensial Coulomb Termodifikasi. Kata kunci: persamaan Schrödinger, panjang minimal, fungsi gelombang, energi, potensial Coulomb Termodifikasi Abstract – The Schrödinger equation is the most popular topic research at quantum mechanics. The  Schrödinger equation based on the concept of minimal length formalism has been obtained for modified Coulomb potential. The wave function and energy spectra were used to describe the characteristic of sub-atomic particle. By using hypergeometry method, we obtained the approximate analytical solutions of the radial Schrödinger equation based on the concept of minimal length formalism for the modified Coulomb potential. The wave function and energy spectra was solved. The result showed that the value of energy increased by the increasing both of minimal length parameter and the potential parameter. Key words: Schrödinger equation, minimal length formalism (MLF), wave function, energy spectra, Modified Coulomb potential

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