Binding energies of lower odd states of negative hydrogen ion in a onedimensional space
DOI:
https://doi.org/10.24144/2415-8038.2009.24.57-60Keywords:
Negative ion of hydrogen, The binding energy for autoionizing states, Method of hyperspherical functionsAbstract
The binding energy values for ground and lower autoionizing states of the negative ion of hydrogen atom were found using an elliptic coordinate system in the framework of hyperspherical adiabatic approach. Adiabatic potentials were determined by diagonalization of the system’s Hamiltonian on the ellipse using eigenfunctions of the generalized angular momentum operator at different dimensions of the basis. Radial equation in the Born-Oppenheimer approximation is solved numerically. The obtained binding energy values are in satisfactory agreement with the existing experimental results and theoretical calculations performed in other approaches.
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