The maximum momentum transfer in proton-hydrogen collisions

Area of Science:

• Atomic and Molecular Physics
• Plasma Physics
• Particle Interactions

Background:

• Understanding proton-K-shell electron interactions is crucial for various physics applications.
• Current models often assume an infinite upper limit for momentum transfer.
• The validity of this assumption under different conditions requires investigation.

Purpose of the Study:

• To calculate the upper limit of momentum transfer between protons and K-shell electrons.
• To evaluate the practical applicability of the infinite upper limit assumption.
• To identify conditions where the infinite limit may not be accurate.

Main Methods:

• Utilized a restricted three-body classical model for calculations.
• Focused on the momentum transfer dynamics between a proton and K-shell electrons.

Main Results:

• The calculated upper limit of momentum transfer was determined.
• The study found the infinite upper limit assumption to be generally valid.
• Deviations were noted for low-energy protons in extremely rarefied gases.

Conclusions:

• The restricted three-body classical model provides a framework for calculating momentum transfer limits.
• The infinite upper limit for momentum transfer is a reasonable approximation in most scenarios.
• Specific conditions, such as low-energy proton interactions in rarefied gases, necessitate a more nuanced approach.