Semiclassical Transition Probabilities for Atom—Atomic‐Oscillator Collisions with Morse Potential Interaction

1972 ◽  
Vol 56 (1) ◽  
pp. 546-548 ◽  
Author(s):  
R. J. LaBrecque ◽  
R. I. Morse
Keyword(s):  
Morse Potential ◽  
Transition Probabilities ◽  
Potential Interaction

Computation of the rotational transition probabilities of diatomic molecules with a morse potential

1978 ◽  
Vol 19 (3) ◽  
pp. 287-292 ◽  
Author(s):  
A. N. Vargin ◽  
N. A. Ganina ◽  
�. K. Kostyuchenko ◽  
V. K. Konyukhov ◽  
A. I. Lukovnikov ◽  
...  
Keyword(s):  
Morse Potential ◽  
Transition Probabilities ◽  
Diatomic Molecules ◽  
Rotational Transition

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.

EELS white line intensities calculated for the 3d and 4d metals

1989 ◽  
Vol 47 ◽  
pp. 388-389
Author(s):  
C. C. Ahn ◽  
D. H. Pearson ◽  
P. Rez ◽  
B. Fultz
Keyword(s):  
Experimental Data ◽  
Line Intensity ◽  
Transition Probabilities ◽  
Initial Increase ◽  
White Line ◽  
Hartree Fock ◽  
Line Intensities ◽  
Integrated Intensity ◽  
X Ray Absorption ◽  
The Continuum

Previous experimental measurements of the total white line intensities from L2,3 energy loss spectra of 3d transition metals reported a linear dependence of the white line intensity on 3d occupancy. These results are inconsistent, however, with behavior inferred from relativistic one electron Dirac-Fock calculations, which show an initial increase followed by a decrease of total white line intensity across the 3d series. This inconsistency with experimental data is especially puzzling in light of work by Thole, et al., which successfully calculates x-ray absorption spectra of the lanthanide M4,5 white lines by employing a less rigorous Hartree-Fock calculation with relativistic corrections based on the work of Cowan. When restricted to transitions allowed by dipole selection rules, the calculated spectra of the lanthanide M4,5 white lines show a decreasing intensity as a function of Z that was consistent with the available experimental data.Here we report the results of Dirac-Fock calculations of the L2,3 white lines of the 3d and 4d elements, and compare the results to the experimental work of Pearson et al. In a previous study, similar calculations helped to account for the non-statistical behavior of L3/L2 ratios of the 3d metals. We assumed that all metals had a single 4s electron. Because these calculations provide absolute transition probabilities, to compare the calculated white line intensities to the experimental data, we normalized the calculated intensities to the intensity of the continuum above the L3 edges. The continuum intensity was obtained by Hartree-Slater calculations, and the normalization factor for the white line intensities was the integrated intensity in an energy window of fixed width and position above the L3 edge of each element.

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