Variational method for inner-shell excitation in heavy-ion collisions
In the framework of the monopole model we study a perturbation method for inner-shell excitation which covers the whole projectile velocity region. This is achieved by introducing a velocity-dependent variational parameter and minimizing the time-dependent perturbation. We apply the method to theK-excitation of nonrelativistic systems.
Molecular Orbital X-Ray Emission in Heavy Ion Collisions
In a collision between two heavy atoms, distances of closest approach deep within the atomic K shell radii are attainable for values of the projectile velocity which are slow compared to those of the K shell electrons. Under these conditions, the projectile motion can be viewed as adiabatic and molecular-like electron orbitais evolve. In the limit as the target and projectile atoms are very close together, a transient quasiatom consisting of the combined electron clouds orbiting around the two centered nuclear Coulomb field will be formed.
Variation‐perturbation treatment of the molecular interaction energy in H2+
A new variation‐perturbation method is developed to treat the interatomic interactions in one‐electron diatomic molecules at all distances. For a diatomic molecule with nuclear charges Za and Zb a variable charge‐shifting perturbation is defined as (Zb − ζ)/ra − Zb/rb, where ra and rb are the distances from the electron to the two nuclei. The adjustable parameter ζ, when determined variationally, leads to a small perturbation at all distances. Limiting cases are ζ = 0 and ζ = Zb at zero and infinite separations, respectively. The method is tested by calculations of the ground‐state energy of the hydrogen molecular ion, for which the first‐order wavefunction is obtained in closed form. Following the procedure of Chang [J. Chem. Phys. 59, 1790 (1973)], both one‐ and two‐center calculations are performed. The results compare favorably with the exact values and converge correctly to the appropriate united‐ and separated‐atom limits. The largest deviation occurs near the equilibrium distance, where the relativ...