Exploring the $ \phi{\text -}\alpha $ interaction via femtoscopic study

TL;DR

This study investigates the interaction between phi mesons and alpha particles using femtoscopic correlation functions derived from two different potential models, revealing sensitivity to the interaction range and medium density.

Contribution

It introduces a femtoscopic approach to analyze the phi-alpha interaction using potentials from HAL QCD and QMC models, highlighting their impact on correlation functions.

Findings

Correlation functions vary with potential models at small source sizes.

Large interaction range affects the validity of the Lednicky-Lyuboshits formalism.

Potential model dependence is significant in high-density nuclear media.

Abstract

Very recently the Wood-Saxon (WS) type interaction in the single-folding potential approach are constructed to simulate the $ \phi{\text -}\alpha $ potentials. One set of the $ \phi{\text -}\alpha $ potentials are based on the first principle HAL QCD $\phi{\text -}N $ interactions in $^{4}S_{3/2}$ channel, and in another set, the $\phi$-meson-nucleus potentials were calculated by employing the quark-meson coupling (QMC) model. By utilizing these two set of $ \phi{\text -}\alpha $ potentials, the two-particle momentum correlation of $ \phi{\text -}\alpha $ in high-energy heavy ion collisions is explored. The numerical results show that the correlation functions at small source size (high density nuclear medium) depends on the employed potential model. Also, the correlation functions are obtained within the Lednicky-Lyuboshits (LL) formalism. For small source size, it is found that, the LL formula returns significantly different values due to the large interaction range of the $\phi{\text -}\alpha $ potential.