A study of the $\phi N$ correlation function

TL;DR

This paper investigates the femtoscopic $\, ext{phi} ext{N}"$ correlation function using a hadronic effective Lagrangian approach, comparing theoretical predictions with ALICE experimental data and revealing spin-dependent features and resonance effects.

Contribution

It provides a detailed theoretical analysis of the $\, ext{phi} ext{N}"$ correlation function considering spin configurations and resonance impacts, aligning with recent experimental observations.

Findings

Different features for spin 1/2 and 3/2 configurations.

Strong attraction and possible bound state in spin 3/2 case.

Impact of $N^*(1895)$ resonance on spin 1/2 correlation function.

Abstract

The femtoscopic $\phi N$ correlation function is studied within a hadronic effective Lagrangian approach with coupled channels, based on hidden local symmetry. The results are compared with the data recently reported by the ALICE collaboration. We find that the correlation function has very different features for the $\phi N$ system in the spin 1/2 and 3/2 configurations, with the spin-averaged combination matching well with the experimental data. A strong attraction, leading to the formation of a $\phi N$ bound state or a very prominent cusp is found in the spin 3/2 case. The correlation function for spin 1/2, on the other hand, is strongly impacted by the negative parity $N^*(1895)$ nucleon resonance.