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  • Open Access

Toward extracting scattering phase shifts from integrated correlation functions. IV. Coulomb corrections

Peng Guo*

Frank X. Lee†

  • *Contact author: peng.guo@dsu.edu
  • †Contact author: fxlee@gwu.edu
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Phys. Rev. D 112, 014513 – Published 22 July, 2025

DOI: https://doi.org/10.1103/xpvf-rx7y

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.

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See Also

Toward extracting scattering phase shift from integrated correlation functions. III. Coupled channels

Peng Guo and Frank X. Lee
Phys. Rev. D 111, 054506 (2025)

Toward extracting scattering phase shifts from integrated correlation functions. V. Complex ϕ4 field model in 3+1 dimensions

Peng Guo, Frank X. Lee, and Andrei Alexandru
Phys. Rev. D 112, 074511 (2025)

Article Text

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Phys. Rev. D 112, 014513– Published 22 July, 2025
  • Received 3 June 2025
  • Accepted 8 July 2025
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