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Threshold behavior and analytical fitting of partial wave capture probabilities for attractive R(-n) potentials
E I Dashevskaya1, I Litvin, E E Nikitin
1Schulich Faculty of Chemistry, Technion-Israel Institute of Technology, Haifa, 32000, Israel.
Physical Chemistry Chemical Physics : PCCP
|October 16, 2009
Summary
Accurate analytical fittings for partial wave capture probabilities were developed for R(-n) potentials. These results validate threshold laws at low energies, proving useful for practical applications in physics.
Area of Science:
- Atomic and Molecular Physics
- Quantum Mechanics
- Scattering Theory
Background:
- Understanding particle interactions is crucial in quantum mechanics.
- R(-n) potentials are important in describing certain physical phenomena.
- Accurate calculations of capture probabilities are needed for theoretical and experimental work.
Purpose of the Study:
- To derive numerically accurate analytical fittings for partial wave capture probabilities.
- To investigate these fittings for R(-n) potentials, specifically for n = 4 and 6.
- To assess the performance of established theoretical laws at low collision energies.
Main Methods:
- Numerical analysis was employed to obtain accurate fittings.
- The study focused on partial wave capture probabilities.
- Analytical fittings were developed for R(-n) potentials (n=4, 6).
Main Results:
- Accurate analytical fittings for partial wave capture probabilities were successfully obtained.
- The fittings cover practically relevant ranges of probabilities.
- The performance of the Bethe and Wigner threshold laws was demonstrated at low collision energies.
Conclusions:
- The derived analytical fittings provide a valuable tool for calculations involving R(-n) potentials.
- The study confirms the validity of threshold laws in specific low-energy regimes.
- These findings have potential applications in various areas of physics research.
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