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

Abstract

Very recently the Wood-Saxon (WS) type interaction in the single-folding potential (SFP) 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 $^{4}\textrm{S}_{3/2}$ channel, and in another set, the $\phi$-meson nucleus potentials were calculated by employing the quark-meson coupling (QMC) model. By utilizing these two sets 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.