Theoretical study on $\Lambda \alpha$ and $\Xi \alpha$ correlation functions

Abstract

We examine the $\Lambda$-${}^4\mathrm{He}$ ($\alpha$) and $\Xi \alpha$ momentum correlation in high-energy collisions to further elucidate the properties of the hyperon-nucleon interactions. For the $\Lambda \alpha$ system, we compare $\Lambda \alpha$ potential models with different strengths at short range. We find that the difference among the models is visible in the momentum correlation from a small-size source. This indicates that the $\Lambda \alpha$ momentum correlation can constrain the property of the $\Lambda N$ interaction at short range, which plays an essential role in dense nuclear matter. For the $\Xi \alpha$ system, we employ the folding $\Xi \alpha$ potential based on the lattice QCD $\Xi N$ interactions. The $\Xi \alpha$ potential supports a Coulomb assisted bound state of ${}_{\Xi }^5\mathrm{H}$ in the ${\Xi }^{-}\alpha$ channel, while the ${\Xi }^0\alpha$ channel is unbound. To examine the sensitivity of the correlation function to the nature of the $\Xi \alpha$ potential, we vary the potential strength simulating stronger and weaker interactions. The result of the correlation function clearly reflects the bound state nature in the ${\Xi }^{-}\alpha$ correlation.

arXiv comment13 pages, 4 figures, Proceedings of Hadron interactions with strangeness and charm, 26-28 Jun 2024

References in corpus (22)

• Shapiro delay measurement of a two solar mass neutron star
• Strangeness in nuclear physics
• Production of light nuclei, hypernuclei and their antiparticles in relativistic nuclear collisions
• Neutron Stars and the Nuclear Equation of State
• Unveiling the strong interaction among hadrons at the LHC
• Exotic Hadrons from Heavy Ion Collisions
• $\Lambda \Lambda$ and N$\Xi$ interactions from Lattice QCD near the physical point
• First observation of an attractive interaction between a proton and a multi-strange baryon
• Hyperon-nucleon three-body forces and strangeness in neutron stars
• A femtoscopic Correlation Analysis Tool using the Schrödinger equation (CATS)
• Coupled-channel effects in hadron-hadron correlation functions
• $K^{-}p$ Correlation Function from High-Energy Nuclear Collisions and Chiral SU(3) Dynamics
• Hadron-Deuteron Correlations and Production of Light Nuclei in Relativistic Heavy-Ion Collisions
• Production of ${}^4\mathrm{Li}$ and $p-{}^3\mathrm{He}$ correlation function in relativistic heavy-ion collisions
• Exploring the strong interaction of three-body systems at the LHC
• $A=4-7$ $\Xi$ hypernuclei based on interactions from chiral effective field theory
• Repulsive $\Lambda$ potentials in dense neutron star matter and binding energy of $\Lambda$ in hypernuclei
• Deuteron-Deuteron Correlation Function in Nucleus-Nucleus Collisions
• Probing $\Xi N$ interaction through inversion of spin-doublets in $\Xi N\alpha \alpha$ nuclei
• Femtoscopic study of the $\Lambda \alpha$ interaction
• Hypernuclear constraints on the existence and lifetime of a deeply bound $H$ dibaryon
• Status of the hyperon-nucleon interaction in chiral effective field theory