Electric quadrupole transitions of the Bohr Hamiltonian with the Morse potential

Abstract

Eigenfunctions of the collective Bohr Hamiltonian with the Morse potential have been obtained by using the Asymptotic Iteration Method (AIM) for both gamma-unstable and rotational structures. B(E2) transition rates have been calculated and compared to experimental data. Overall good agreement is obtained for transitions within the ground state band, while some interband transitions appear to be systematically underpredicted in gamma-unstable nuclei and overpredicted in rotational nuclei.

LaTeX, 19 pages

References in corpus (10)

• Any $l$-state solutions of the Hulthén potential by the asymptotic iteration method
• Asymptotic Iteration Method Solutions to the Relativistic Duffin-Kemmer-Petiau Equation
• Bohr Hamiltonian with deformation-dependent mass term for the Davidson potential
• Exactly separable version of the Bohr Hamiltonian with the Davidson potential
• Analytical solutions of the Bohr Hamiltonian with the Morse potential
• Solution of the Radial Schrödinger Equation for the Potential Family $V(r)=\frac{A}{r^2}-\frac{B}{r}+C{r}^{\kappa }$ using the Asymptotic Iteration Method
• Exactly separable version of X(5) and related models
• The Energy Eigenvalues of the Two Dimensional Hydrogen Atom in a Magnetic Field
• Phonon and multi-phonon excitations in rotational nuclei by exact diagonalization of the Bohr Hamiltonian
• An Improvement of the Asymptotic Iteration Method for Exactly Solvable Eigenvalue Problems

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• Resonant states and pseudospin symmetry in the Dirac Morse potential
• B(E2) value of even-even 108-112Pd isotopes by interacting boson model-1*
• Excited collective states of nuclei within Bohr Hamiltonian with Tietz-Hua potential
• Triaxial nuclei and analytical solutions of the conformable fractional Bohr Hamiltonian with some exponential-type potentials
• Bohr Hamiltonian with Pöschl Teller potential in γ unstable and γ stable pictures
• Degeneracy and coherent states of the two-dimensional Morse potential