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Lambda-Lambda interaction from relativistic heavy-ion collisions
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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.
Forward citations
Cited by 7 Pith papers
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Spin Femtoscopy: A Framework for Revealing Genuine Spin Correlations
Spin femtoscopy is proposed to separate genuine two-particle spin correlations from quantum statistics and final-state interaction effects via spin-sensitive correlation functions on Lambda pairs.
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Extended Variable Phase Method for Spin-1/2 Correlation Functions
An extension of the variable phase method computes nucleon-nucleon correlation functions that include both central and noncentral forces using the Reid soft-core potential.
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Extended Variable Phase Method for Spin-1/2 Correlation Functions
The variable phase method is extended to noncentral potentials to compute partial-wave nucleon-nucleon correlation functions with the Reid soft-core potential for Gaussian sources of varying sizes.
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Probing the hadronic molecular nature of the $\Omega(2012)$, $\Omega(2380)$, and $\Omega_c(3120)$ via femtoscopy correlation functions
Correlation function calculations with coupled-channel potentials produce low-momentum enhancements that the authors interpret as signatures of the molecular structure of Ω(2012), Ω(2380), and Ωc(3120).
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Probing the hadronic molecular nature of the $\Omega(2012)$, $\Omega(2380)$, and $\Omega_c(3120)$ via femtoscopy correlation functions
Numerical correlation functions computed from effective potentials exhibit enhancements that indicate the hadronic molecular nature of the Ω(2012), Ω(2380), and Ωc(3120) resonances.
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Solving the Inverse Source Problem in Femtoscopy with a Toy Model
Tikhonov regularization reconstructs the input Gaussian source function from correlation functions generated by a square-well toy model in femtoscopy.
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Gaussian vs. Real Wavefunction of Nuclear Clusters and Hypernuclei
Realistic nuclear cluster wave functions show broader spatial distributions and non-Gaussian structures than Gaussian ansätze with matching rms radius, suggesting a mechanism to address underestimation of A=4 cluster ...
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