Femtoscopic study of the $\Lambda \alpha$ interaction

Abstract

We examine the $\Lambda$-${}^4\mathrm{He}$ ($\alpha$) momentum correlation in high-energy collisions to elucidate the interaction between Lambdas ($\Lambda$) and nucleons ($N$). We compare phenomenological $\Lambda \alpha$ potentials with different strengths at short range. In addition to the conventional Gaussian-type potentials, we construct the $\Lambda \alpha$ potentials by substituting the nucleon density distribution in $\alpha$ into the Skyrme-type $\Lambda$ potentials. We find that the dependence on the employed potential models is visible in the correlation functions from a small-size source. This indicates that the $\Lambda \alpha$ momentum correlation could constrain the property of the $\Lambda N$ interaction at high densities, which is expected to play an essential role in dense nuclear matter. Also, we verify that the Lednicky-Lyuboshits formula can yield erroneous results for a small-size source with a potential which has a large interaction range, like the $\Lambda \alpha$ system.

8 pages, 6 figures, Published version in PRC, typos are fixed

References in corpus (20)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• PSR J0030+0451 Mass and Radius from NICER Data and Implications for the Properties of Neutron Star Matter
• A NICER View of PSR J0030+0451: Millisecond Pulsar Parameter Estimation
• A NICER View of the Massive Pulsar PSR J0740+6620 Informed by Radio Timing and XMM-Newton Spectroscopy
• Challenges in QCD matter physics - The Compressed Baryonic Matter experiment at FAIR
• Hyperon Puzzle: Hints from Quantum Monte Carlo Calculations
• Neutron Stars and the Nuclear Equation of State
• Hyperon mixing and universal many-body repulsion in neutron stars
• Strangeness nuclear physics: a critical review on selected topics
• Implications of NICER for neutron star matter: the QHC21 equation of state
• Femtoscopic study on $D{D}^{\ast }$ and $D{\bar{D}}^{\ast }$ interactions for $T_{cc}$ and $X(3872)$
• Kaon-proton strong interaction at low relative momentum via femtoscopy in Pb-Pb collisions at the LHC
• First measurement of the $\Lambda$-$\Xi$ interaction in proton-proton collisions at the LHC
• Towards the understanding of the genuine three-body interaction for p$-$p$-$p and p$-$p$-\Lambda$
• Exploring the $\Lambda$-deuteron interaction via correlations in heavy-ion collisions
• Repulsive $\Lambda$ potentials in dense neutron star matter and binding energy of $\Lambda$ in hypernuclei
• Measurements of $p$-$\Xi$, $\Lambda$-$\Lambda$, and $\Xi$-$\Xi$ Correlation in Au+Au collisions at $\sqrt{s_{\mathrm{NN}}}$ = 200 GeV at RHIC-STAR
• Structure of neutron-rich He $\Lambda$ hypernuclei using the cluster orbital shell model

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