A statistical method expresses pair correlations as ensemble averages over single-particle-conditioned kernels, enabling event-by-event reconstruction of rare-particle emission sources, demonstrated on simulated J/ψ data with 13% uncertainty.
A femtoscopic Correlation Analysis Tool using the Schr\"odinger equation (CATS)
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abstract
We present a new analysis framework called "Correlation Analysis Tool using the Schr\"odinger equation" (CATS) which computes the two-particle femtoscopy correlation function $C(k)$, with $k$ being the relative momentum for the particle pair. Any local interaction potential and emission source function can be used as an input and the wave function is evaluated exactly. In this paper we present a study on the sensitivity of $C(k)$ to the interaction potential for different particle pairs: p-p, p-$\mathrm{\Lambda}$, $\mathrm{K^-}$-p, $\mathrm{K^+}$-p, p-$\mathrm{\Xi}^-$ and $\mathrm{\Lambda}$-$\mathrm{\Lambda}$. For the p-p Argonne $v_{18}$ and Reid Soft-Core potentials have been tested. For the other pair systems we present results based on strong potentials obtained from effective Lagrangians such as $\chi$EFT for p-$\mathrm{\Lambda}$, J\"ulich models for $\mathrm{K(\bar{K})}$-N and Nijmegen models for $\mathrm{\Lambda}$-$\mathrm{\Lambda}$. For the p-$\mathrm{\Xi}^-$ pairs we employ the latest lattice results from the HAL QCD collaboration. Our detailed study of different interacting particle pairs as a function of the source size and different potentials shows that femtoscopic measurements can be exploited in order to constrain the final state interactions among hadrons. In particular, small collision systems of the order of 1~fm, as produced in pp collisions at the LHC, seem to provide a suitable environment for quantitative studies of this kind.
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First estimates place inclusive branching ratios for antideuteron production from Lambda_b decays between 5.7e-4 and 1.4e-3 and from B- decays between 7.4e-6 and 4.3e-5, depending on hadronization scenario.
Residual Coulomb and isospin effects produce charge-dependent splittings in identical-particle correlation functions, strongest at low kT, that modify fitted radii.
Tikhonov regularization reconstructs the input Gaussian source function from correlation functions generated by a square-well toy model in femtoscopy.
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.
Simulations indicate that heavy-ion collisions enhance the visibility of charmed-meson femtoscopic correlations compared to pp collisions, providing a probe for exotic hadronic states.
The universality assumption in the Koonin-Pratt formula for femtoscopic correlations introduces potentially large intrinsic uncertainty when extracting strong interactions between hadrons like nucleons.
citing papers explorer
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Reconstructing rare particle source by femtoscopic correlations
A statistical method expresses pair correlations as ensemble averages over single-particle-conditioned kernels, enabling event-by-event reconstruction of rare-particle emission sources, demonstrated on simulated J/ψ data with 13% uncertainty.
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When positive and negative pairs differ in femtoscopy: residual Coulomb and isospin effects
Residual Coulomb and isospin effects produce charge-dependent splittings in identical-particle correlation functions, strongest at low kT, that modify fitted radii.
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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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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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Accessing Exotic Hadronic States via Charmed-Meson Femtoscopy in Relativistic Heavy-Ion Collisions
Simulations indicate that heavy-ion collisions enhance the visibility of charmed-meson femtoscopic correlations compared to pp collisions, providing a probe for exotic hadronic states.
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Can the strong interactions between hadrons be determined using femtoscopy?
The universality assumption in the Koonin-Pratt formula for femtoscopic correlations introduces potentially large intrinsic uncertainty when extracting strong interactions between hadrons like nucleons.