Toward extracting scattering phase shifts from integrated correlation functions. IV. Coulomb corrections
Outlet Title
Physical Review D
Document Type
Article
Publication Date
Summer 7-22-2025
Abstract
The formalism developed in Guo and Gasparian [Toward extracting the scattering phase shift from integrated correlation functions, Phys. Rev. D 108, 074504 (2023)]; Guo [Toward extracting the scattering phase shift from integrated correlation functions. II. A relativistic lattice field theory model, Phys. Rev. D 110, 014504 (2024)]; and Guo and Lee [Toward extracting scattering phase shift from integrated correlation functions. III. Coupled channels, Phys. Rev. D 111, 054506 (2025)] 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.
Recommended Citation
Guo, Peng and Lee, Frank, "Toward extracting scattering phase shifts from integrated correlation functions. IV. Coulomb corrections" (2025). Research & Publications. 46.
https://scholar.dsu.edu/anspapers/46