Work

Femtoscopy Correlation Functions and Hadron–Hadron Scattering Amplitudes in Presence of Coulomb Potential

Year: 2025

Type: article

Abstract: This work addresses the incorporation of Coulomb interactions into femtoscopy correlation functions (CFs) used to probe hadron interactions. Combining strong contact potentials with Coulomb effects, the derived scattering amplitudes and wave functions are used to compute CFs, accounting for both interactions coherently. Next, we analyze the nature of the corrections due to the finite range of the strong interaction, closely linked to off-shell effects, and propose an approximate method to account for them. We show how these corrections turn out to be essential to accurately extract the strong hadron–hadron scattering amplitudes from CF data. We compare the obtained expressions for the CFs with those reported in previous theoretical frameworks. Also, using proton–proton systems as a case study, we obtain a good comparison of our results with previous realistic theoretical calculations and with accurate recent data from the ALICE experiment. The framework enables precise CF calculations without numerical solution of the Schrödinger equation, offering a practical tool for femtoscopy analyses involving charged hadrons. In addition, the scheme allows for an easy connection with scattering amplitudes obtained from Effective Field Theories.

Source: Progress of Theoretical and Experimental Physics

DOI: 10.1093/ptep/ptaf095

Authors: Miguel Albaladejo, Amador García-Lorenzo, Juan Nieves

Institutions: Consejo Superior de Investigaciones Científicas, Instituto de Física Corpuscular

Language: English

Topic: High-Energy Particle Collisions Research

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $979

Funders: Generalitat Valenciana, Ministerio de Ciencia e Innovación, Agencia Estatal de Investigación