2025/06/02 by Peng Guo, Guo, Peng, Frank Lee +1
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Electrostatics and Colloid Interactions #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Nuclear Theory (nucl-th) #Other Condensed Matter (cond-mat.other) #Quantum Gases (cond-mat.quant-gas)
paper · pdf · doi:10.48550/arxiv.2506.01768
openalex publication_date 2025/06/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
The formalism developed in Refs.~\citeGuo:2023ecc,Guo:2024zal,Guo:2024pvt that relates the integrated correlation functions for a trapped system to the infinite volume scattering phase shifts through a weighted integral is further extended to include Coulomb interaction between charged particles. The original formalism cannot be applied due to different divergent asymptotic behavior resulting from the long-range nature of the Coulomb force. We show that a modified formula in which the difference of integrated correlation functions between particles interacting with Coulomb plus short-range interaction and with Coulomb interaction alone is free of divergence, and has rapid approach to its infinite volume limit. Using an exactly solvable model, we demonstrate that the short-range potential scattering phase shifts can be reliably extracted from the formula in the presence of Coulomb interaction.