Lambda-Lambda interaction from relativistic heavy-ion collisions

Abstract

We investigate the two-particle intensity correlation function of $\Lambda$ in relativistic heavy-ion collisions. We find that the behavior of the $\Lambda \Lambda$ correlation function at small relative momenta is fairly sensitive to the interaction potential and collective flows. By comparing the results of different source functions and potentials, we explore the effect of intrinsic collective motions on the correlation function. We find that the recent STAR data gives a strong constraint on the scattering length and effective range of $\Lambda \Lambda$ interaction as, $-1.8{\mathrm{fm}}^{-1}<1/a_0<-0.8{\mathrm{fm}}^{-1}$ and $3.5\mathrm{fm}<r_{\mathrm{eff}}<7\mathrm{fm}$, respectively,if $\Lambda$ samples do not include feed-down contribution from long-lived particles. We find that feed-down correction for ${\Sigma }^0$ decay reduces the sensitivity of the correlation function to the detail of the $\Lambda \Lambda$ interaction. As a result, we obtain a weaker constraint $1/a_0<-0.8$ fm${}^{-1}$. Implication for the signal of existence of $H$-dibaryon is discussed. Comparison with the scattering parameters obtained from the double $\Lambda$ hypernucleus may reveal in-medium effects in the $\Lambda \Lambda$ interaction.

18 pages, 14 figures, discussions on feed-down contribution and possible residual correlation are added. To appear in Phys.Rev.C

References in corpus (8)

• Shapiro delay measurement of a two solar mass neutron star
• Evidence for a Bound H-dibaryon from Lattice QCD
• Baryon-baryon interactions in the SU6 quark model and their applications to light nuclear systems
• Extended-soft-core Baryon-Baryon Model II. Hyperon-Nucleon Interaction
• Multi-quark hadrons from Heavy Ion Collisions
• Tables of Hyperonic Matter Equation of State for Core-Collapse Supernovae
• Resolving the HBT Puzzle in Relativistic Heavy Ion Collision
• Five-body cluster structure of double-$\Lambda$ hypernucleus ${}_{\Lambda \Lambda }^{11}$Be

Cited by in corpus (4)

• On the History of Dibaryons and their Final Observation
• Equation of State for Nucleonic and Hyperonic Neutron Stars with Mass and Radius Constraints
• Quark mass dependence of H-dibaryon in $\Lambda \Lambda$ scattering
• Production of $\Lambda \Lambda$ and $\overline{\Lambda \text{n}}$ in central Pb+Pb collisions at $\sqrt{s_{NN}}$=2.76 TeV within a covariant coalescence model