Quantum theory of reactive collisions for 1/r(n) potentials

Area of Science:

• Quantum mechanics
• Atomic and molecular physics
• Chemical physics

Background:

• Reactive collisions are fundamental to chemical reactions.
• Existing models often fail for nonuniversal reactions with low short-range probabilities.
• Power-law potentials describe interactions in many atomic and molecular systems.

Purpose of the Study:

• Develop a general quantum theory for reactive collisions with power-law potentials.
• Extend capture models to include nonuniversal cases.
• Provide analytical formulas and numerical studies for specific potentials.

Main Methods:

• Developed a quantum defect framework.
• Incorporated short-range reaction probability P(re)<1.
• Applied to van der Waals (n=6) and polarization (n=4) potentials.

Main Results:

• Established a theory valid from ultracold to high temperatures.
• Derived explicit analytical formulas.
• Numerical studies show good agreement with experiments.

Conclusions:

• The quantum defect framework successfully describes reactive collisions with power-law potentials.
• The model accurately predicts Penning ionization experiments over a wide energy range.
• This theory provides a universal approach for nonuniversal reactive collisions.