Muonuclear Absorption and the Factorization Method

1973 ◽  
Vol 51 (22) ◽  
pp. 2382-2388 ◽  
Author(s):  
J. Joseph ◽  
B. Goulard
Keyword(s):  
Factorization Method ◽  
Energy Spectra ◽  
Transition Rates ◽  
Final Nucleus ◽  
Photonuclear Physics

Muon absorption by a nucleus [μ− + [Z,A] → [Z – 1,A]* + vμ] is treated in the framework of a factorization method already tested in photonuclear physics. The transition rates to various states 0−,1−,2− of the final nucleus [Z – 1,A]* and the energy spectra of the subsequent outgoing neutrons are analyzed in the case of 16O and 40Ca.

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.

scholarly journals Study of shape coexistence in the 180−190Hg isotopes by SO(6) representation of eigenstates

2017 ◽  
Vol 26 (09) ◽  
pp. 1750056 ◽  
Author(s):  
H. Sabri ◽  
A. Ghale Asadi ◽  
O. Jabbarzade ◽  
S. K. Mousavi Mobarake
Keyword(s):  
Control Parameter ◽  
Energy Spectra ◽  
Shape Coexistence ◽  
Transition Rates ◽  
Quadrupole Transition ◽  
Expectation Values ◽  
Boson Number ◽  
Number Formula ◽  
Boson Model ◽  
Good Agreement

In this paper, we have studied the shape coexistence in the [Formula: see text]Hg isotopes. The SO(6) representation of eigenstates and a transitional Hamiltonian in the Interacting Boson Model (IBM) are used to consider the evolution from prolate to oblate shapes for systems with total boson number [Formula: see text]. Parameter free (up to overall scale factors) predictions for energy spectra and quadrupole transition rates are found to be in good agreement with experimental counterparts. The results for the control parameter of transitional Hamiltonian offer a combination of spherical and deformed shapes in these Hg isotopes and also more deviation from SO(6) limit is observed when the quadrupole deformation is decreased. Also, there are some suggestions about the expectation values of the [Formula: see text] operator which are determined in the first state of ground, beta and gamma bounds and the control parameter of model.

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.

The factorization method and quantum systems with equivalent energy spectra

1984 ◽  
Vol 105 (1-2) ◽  
pp. 19-22 ◽  
Author(s):  
A.A. Andrianov ◽  
N.V. Borisov ◽  
M.V. Ioffe
Keyword(s):  
Factorization Method ◽  
Quantum Systems ◽  
Energy Spectra

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.

Investigation of the Morse potential for the hybrid model and the one combining the E(5) and X(3) symmetries

2018 ◽  
Vol 27 (06) ◽  
pp. 1850053 ◽  
Author(s):  
H. Hassanabadi ◽  
M. Alimohammadi
Keyword(s):  
Root Mean Square ◽  
Hybrid Model ◽  
Morse Potential ◽  
Energy Spectra ◽  
Transition Rates ◽  
Mean Square ◽  
Model Combining ◽  
The One

The present work is aimed at considering the recent forms of Bohr Hamiltonian, which are namely the hybrid model and the model combining the X(3) and E(5) symmetries, in the presence of the [Formula: see text]-dependent Morse potential. The energy spectra and the transition rates of each model have been obtained. Some nuclei, the isotopes of Ru, Pd, Xe and [Formula: see text]Ba, have been fitted by using the three-parameter solution of the combined Hamiltonian with the Morse potential. Also, a few nuclei have been fitted by using the four-parameter solution of the hybrid model. In order to evaluate our results, in addition to reporting the root mean square (rms), we compare our data for each nucleus with the corresponding results of other references.

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.

scholarly journals Theoretical studies of energy levels and transition data for Zr III

2020 ◽  
Vol 637 ◽  
pp. A10 ◽  
Author(s):  
P. Rynkun ◽  
G. Gaigalas ◽  
P. Jönsson
Keyword(s):  
Energy Levels ◽  
Electric Quadrupole ◽  
General Purpose ◽  
Oscillator Strengths ◽  
Energy Spectra ◽  
Transition Rates ◽  
Hartree Fock ◽  
Self Energy ◽  
Relativistic Configuration ◽  
Experimental Values

Aims. We seek to present accurate and extensive transition data for the Zr III ion. These data are useful in many astrophysical applications. Methods. We used the multiconfiguration Dirac-Hartree-Fock and relativistic configuration interaction (RCI) methods, which are implemented in the general-purpose relativistic atomic structure package GRASP2018. The transverse-photon (Breit) interaction, vacuum polarization, and self-energy corrections are included in the RCI computations. Results. Energy spectra were calculated for the 88 lowest states in the Zr III ion. The root-mean-square deviation obtained in this study for computed energy spectra from the experimental data is 450 cm−1. Electric dipole (E1), magnetic dipole (M1), and electric quadrupole (E2) transition data, line strengths, weighted oscillator strengths, and transition rates are computed between the above states together with the corresponding lifetimes. The computed transition rates are smaller than the experimental rates and the disagreement for weaker transitions is much larger than the experimental error bars. The computed lifetimes agree with available experimental values within the experimental uncertainties.

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