A statistical description of scattering at the quantum level.

Area of Science:

• Quantum physics
• Statistical mechanics
• Atomic and molecular collisions

Background:

• Quantum physics accurately describes the microscopic world but faces challenges in calculating collision probabilities for simple systems.
• Approximations are common but often limited by energy regimes, targets, or projectiles.

Purpose of the Study:

• To explore the applicability of the lognormal function, commonly used for macroscopic stochastic events, to describe quantum inelastic collisions.
• To provide a physical interpretation for this application and assess its generalizability.

Main Methods:

• The study applied the lognormal function to model the energy dependence of inelastic collisions at the quantum level.
• A physical interpretation was developed by drawing analogies with heat capacity in solid-state physics.
• The approach was tested for its generalizability to nuclear reactions.

Main Results:

• The lognormal function successfully describes the energy dependence of various quantum inelastic collisions, including ionization and electron capture.
• The model allows for the inclusion of relevant threshold energies.
• The analysis demonstrated generality, extending to nuclear reactions.

Conclusions:

• The lognormal function provides a novel and effective method for describing quantum inelastic collision probabilities.
• This finding bridges macroscopic statistical behavior with quantum phenomena.
• The research impacts the fundamental understanding of the classical-quantum interface.