Z(4)-Sextic: A γ-rigid solution of the Bohr Hamiltonian with sextic oscillator potential for β and γ = 30°

2015 ◽  
Author(s):  
P. Buganu ◽  
R. Budaca
Keyword(s):  
Oscillator Potential ◽  
Rigid Solution

Constrained complexes of manganese(II) tetraphenylporphyrin in rigid solution

1982 ◽  
Vol 86 (8) ◽  
pp. 1412-1414 ◽  
Author(s):  
S. Konishi ◽  
M. Hoshino ◽  
M. Imamura
Keyword(s):  
Rigid Solution

scholarly journals NEW DNLS EQUATIONS FOR ANHARMONIC VIBRATIONAL IMPURITIES

2003 ◽  
Vol 17 (03) ◽  
pp. 111-119 ◽  
Author(s):  
M. I. MOLINA
Keyword(s):  
Local Oscillator ◽  
Bound State ◽  
Oscillator Potential ◽  
Strongly Coupled

We examine some new DNLS-like equations that arise when considering strongly-coupled electron-vibration systems, where the local oscillator potential is anharmonic. In particular, we focus on a single, rather general nonlinear vibrational impurity and determine its bound state(s) and its dynamical selftrapping properties.

scholarly journals Exact Solutions of the Mass-Dependent Klein-Gordon Equation with the Vector Quark-Antiquark Interaction and Harmonic Oscillator Potential

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
M. K. Bahar ◽  
F. Yasuk
Keyword(s):  
Harmonic Oscillator ◽  
Exact Solutions ◽  
Gordon Equation ◽  
Oscillator Potential ◽  
Ansatz Method ◽  
Harmonic Oscillator Potential ◽  
Klein Gordon ◽  
Dependent Mass ◽  
Mass Dependent ◽  
Klein Gordon Equation

Using the asymptotic iteration and wave function ansatz method, we present exact solutions of the Klein-Gordon equation for the quark-antiquark interaction and harmonic oscillator potential in the case of the position-dependent mass.

scholarly journals Exactly separable version of the Bohr Hamiltonian with the Davidson potential

2020 ◽  
Vol 16 ◽  
pp. 121
Author(s):  
D. Bonatsos ◽  
E. A. McCutchan ◽  
N. Minkov ◽  
R. F. Casten ◽  
P. Yotov ◽  
...  
Keyword(s):  
Dynamical Symmetry ◽  
Transition Rates ◽  
Stiffness Parameter ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
Boson Model ◽  
Two Parameters ◽  
Almost All ◽  
First Time ◽  
Davidson Potential

An exactly separable version of the Bohr Hamiltonian, is obtained by using a potential of the form V (β, γ) = u(β) + u(γ)/β2, with a Davidson potential for u(β) and a stiff harmonic oscillator potential centered around γ = 0o, for u(γ).Using two parameters (β0 and the γ-stiffness parameter) the band features and B(E2) transition rates of almost all well-deformed rare-earth and actinide nuclei are reproduced, while the spectrum of the SU(3) dynamical symmetry of the Interacting Boson Model can be obtained, for the first time using the Bohr Hamiltonian.

Extended study on the application of the sextic potential in the frame of X(3)-Sextic

2021 ◽  
Author(s):  
Mostafa Oulne ◽  
Imad Tagdamte
Keyword(s):  
Phase Transition ◽  
Critical Point ◽  
Electromagnetic Properties ◽  
Shape Evolution ◽  
Isotopic Chain ◽  
Oscillator Potential ◽  
Extended Study ◽  
Deformed Nuclei ◽  
Exact Solvability ◽  
Shape Phase Transition

Abstract The main aim of the present paper is to study extensively the γ-rigid Bohr Hamiltonian with anharmonic sextic oscillator potential for the variable β and γ = 0. For the corresponding spectral problem, a finite number of eigenvalues are found explicitly, by algebraic means, so-called Quasi-Exact Solvability (QES). The evolution of the spectral and electromagnetic properties by considering higher exact solvability orders is investigated, especially the approximate degeneracy of the ground and first two β bands in the critical point of the shape phase transition from a harmonic to an anharmonic prolate β-soft, also the shape evolution within an isotopic chain. Numerical results are given for 39 nuclei, namely, 98-108Ru, 100-102Mo, 116-130Xe, 180-196Pt, 172Os, 146-150Nd, 132-134Ce, 152-154Gd, 154-156Dy, 150-152Sm, 190Hg and 222Ra. Across this study, it seems that the higher quasi-exact solvability order improves our results by decreasing the rms, mostly for deformed nuclei. The nuclei 100,104Ru, 118,120,126,128Xe, 148Nd and 172Os fall exactly in the critical point.

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